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{{Short description|English polymath (1642–1726)}}
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{{Infobox_Scientist
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|name = Sir Isaac Newton
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|image = GodfreyKneller-IsaacNewton-1689.jpg
{{Use British English|date=October 2024}}
|image_width = 250px
{{Use dmy dates|date=November 2024}}
|caption = Sir Isaac Newton at 46 in<br>]'s 1689 portrait
{{Infobox scientist
|birth_date = ] ] <small><nowiki>]: ] ]<nowiki>]</nowiki><ref name="OSNS">During Newton's lifetime, two calendars were in use in Europe: the ] or 'Old Style' in Britain and parts of Eastern Europe, and the ] or 'New Style' elsewhere. At Newton's birth, Gregorian dates were ten days ahead of Julian dates: thus Newton was born on Christmas Day 1642 by the Julian calendar but on 4 January 1643 by the Gregorian. Moreover, the English new year began on 25 March (the anniversary of the Incarnation) and not on 1 January (until the general adoption of the Gregorian calendar in the UK in 1753). Unless otherwise noted, the remainder of the dates in this article follow the Julian calendar.</ref></small>
| name = Sir Isaac Newton
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| honorific_suffix = {{post-nominals|country=GBR|size=100%|FRS}}
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| image = Portrait of Sir Isaac Newton, 1689 (brightened).jpg
|nationality = ] ]
| alt = Portrait of Newton, a white man with white hair and a brown robe, sitting with his hands folded
|death_date = ] ] <small><nowiki>]: ] ]<nowiki>]</nowiki><ref name="OSNS"/></small>
| caption = Portrait of Newton at 46, 1689
|death_place = ], ], England
| birth_date = {{OldStyleDateNY|{{Birth date|df=y|1643|01|04}}|25 December 1642}}{{efn|name=OSNS}}
|field = ] ], ], ], and ]
| birth_place = {{nowrap|],}} Lincolnshire, England
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| death_date = {{OldStyleDateNY|{{Death date and age|df=y|1727|03|31|1643|01|04}}|20 March 1726}}{{efn|name=OSNS}}
|alma_mater = ]
| death_place = ], Middlesex, England
|known_for = ]</br>]</br>]</br>]
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| workplaces = {{hlist|]|]|]}}
|footnotes =
| education = ] (], 1665; ], 1668)<ref>Kevin C. Knox, Richard Noakes (eds.), ''From Newton to Hawking: A History of Cambridge University's Lucasian Professors of Mathematics'', Cambridge University Press, 2003, p. 61.</ref>
| academic_advisors = {{unbulleted list | ]<ref>Feingold, Mordechai. {{Webarchive|url=https://web.archive.org/web/20130129154554/http://www.oxforddnb.com/view/article/1541 |date=29 January 2013 }}, ''Oxford Dictionary of National Biography'', ], September 2004; online edn, May 2007. Retrieved 24 February 2009; explained further in {{cite journal |last=Feingold |first=Mordechai |date=1993 |title=Newton, Leibniz, and Barrow Too: An Attempt at a Reinterpretation |journal=Isis |volume=84 |issue=2 |pages=310–338 |bibcode=1993Isis...84..310F |doi=10.1086/356464 |jstor=236236 |s2cid=144019197 |issn=0021-1753}}</ref> | ]<ref>{{cite web |title=Dictionary of Scientific Biography |url=http://www.chlt.org/sandbox/lhl/dsb/page.50.a.php |archive-url=https://web.archive.org/web/20050225223812/http://www.chlt.org/sandbox/lhl/dsb/page.50.a.php |archive-date=25 February 2005 |at=Notes, No. 4}}</ref>}}
| notable_students = {{unbulleted list| ]|]}}
| awards = {{unbulleted list | ]&nbsp;(1672)<ref name="frs">{{cite web |title=Fellows of the Royal Society |url=https://royalsociety.org/about-us/fellowship/fellows |archive-url=https://web.archive.org/web/20150316060617/https://royalsociety.org/about-us/fellowship/fellows |archive-date=16 March 2015 |publisher=Royal Society |location=London}}</ref> | ]&nbsp;(1705)}}
| known_for = {{collapsible list|]| ]| ]| ]| ]| ]| '']''| ] | ]| ]| ]| ]| ]| ]| ]|'']'' |]|}}
| signature = ]
| signature_alt = Signature written in ink in a flowing script
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| module = {{Infobox officeholder| embed = yes
| office = ]<br />for ]
| term_start = 1689
| term_end = 1690
| predecessor = ]
| successor = ]
| term_start1 = 1701
| term_end1 = 1702
| predecessor1 = ]
| successor1 = ]
| office2 = President of the Royal Society
| order2 = 12th
| term_start2 = 1703
| term_end2 = 1727
| predecessor2 = ]
| successor2 = ]
| office3 = ]
| term_start3 = 1699
| term_end3 = 1727
| predecessor3 = ]
| successor3 = ]
| suboffice3 = ]
| subterm3 = 1696–1699
| office4 = Lucasian Professor of Mathematics
| order4 = 2nd
| term_start4 = 1669
| term_end4 = 1702
| predecessor4 = ]
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}} }}


'''Sir Isaac Newton''' (25 December 1642&nbsp;– 20 March 1726/27<!-- This is the generally accepted manner of recording Newton's death date. Please do not change without discussion. -->{{efn|name=OSNS|During Newton's lifetime, two calendars were in use in Europe: the ] ("]") calendar in ] and ] regions, including Britain; and the ] ("]") calendar in Roman Catholic Europe. At Newton's birth, Gregorian dates were ten days ahead of Julian dates; thus, his birth is recorded as taking place on 25 December 1642 Old Style, but it can be converted to a New Style (modern) date of 4 January 1643. By the time of his death, the difference between the calendars had increased to eleven days. Moreover, he died in the period after the start of the New Style year on 1 January but before that of the Old Style new year on 25 March. His death occurred on 20 March 1726, according to the Old Style calendar, but the year is usually adjusted to 1727. A full conversion to New Style gives the date 31 March 1727.}}) was an English ] active as a ], ], ], ], ], and author who was described in his time as a ].<ref name=":1">{{Cite web |last=Alex |first=Berezow |date=4 February 2022 |title=Who was the smartest person in the world? |url=https://bigthink.com/the-past/smartest-person-world-isaac-newton/ |access-date=28 September 2023 |website=Big Think |archive-date=28 September 2023 |archive-url=https://web.archive.org/web/20230928161012/https://bigthink.com/the-past/smartest-person-world-isaac-newton/ |url-status=live }}</ref> Newton was a key figure in the ] and the ] that followed.<ref name=":9">{{Cite book |last=Matthews |first=Michael R. |author-link=Michael R. Matthews |url=https://books.google.com/books?id=JrcqBgAAQBAJ&pg=PA181 |title=Time for Science Education: How Teaching the History and Philosophy of Pendulum Motion Can Contribute to Science Literacy |date=2000 |publisher=Springer Science+Business Media, LLC |isbn=978-0-306-45880-4 |series= |location=New York |pages=181 |language=en}}</ref> Newton's book {{lang|la|]}} (''Mathematical Principles of Natural Philosophy''), first published in 1687, achieved the ] and established ].<ref name=":32">{{Citation |last=Rynasiewicz |first=Robert A. |title=Newton's Views on Space, Time, and Motion |date=22 August 2011 |journal=] |pages= |url=https://plato.stanford.edu/entries/newton-stm/ |access-date=15 November 2024 |publisher=Stanford University |author-link=Robert Rynasiewicz}}</ref><ref>{{cite book |author=Klaus Mainzer |url=https://books.google.com/books?id=QekhAAAAQBAJ&pg=PA8 |title=Symmetries of Nature: A Handbook for Philosophy of Nature and Science |date=2 December 2013 |publisher=Walter de Gruyter |isbn=978-3-11-088693-1 |page=8 }}</ref> Newton also made seminal contributions to ], and ] with German mathematician ] for formulating ], though he developed calculus years before Leibniz.<ref>{{Cite journal |last=Boyer |first=Carl B. |author-link=Carl Benjamin Boyer |date=1970 |title=The History of the Calculus |url=https://www.jstor.org/stable/3027118 |journal=The Two-Year College Mathematics Journal |volume=1 |issue=1 |pages=60–86 |doi=10.2307/3027118|jstor=3027118 }}</ref><ref name=":3" /> He contributed to and refined the ], and his work is considered the most influential in bringing forth modern science.<ref>{{Cite journal |last=Westfall |first=Richard S. |author-link=Richard S. Westfall |date=1981 |title=The Career of Isaac Newton: A Scientific Life in the Seventeenth Century |url=https://www.jstor.org/stable/41210741 |journal=The American Scholar |volume=50 |issue=3 |pages=341–353 |jstor=41210741 |issn=0003-0937}}</ref><ref>{{Cite web |last=Tyson |first=Peter |date=15 November 2005 |title=Newton's Legacy |url=https://www.pbs.org/wgbh/nova/article/newton-legacy/ |access-date=14 November 2024 |website=www.pbs.org }}</ref><ref>{{Cite book |last1=Carpi |first1=Anthony |url=https://archive.org/details/processofscience0000carp/page/n2/mode/1up |title=The Process of Science |last2=Egger |first2=Anne E. |publisher=Visionlearning |year=2011 |isbn=978-1-257-96132-0 |edition=Revised |pages=91–92 }}</ref><ref>{{Cite book |url= |title=The Cambridge Companion to Newton |date=2016 |publisher=] |isbn=978-1-139-05856-8 |editor-last=Iliffe |editor-first=Rob |edition=2nd |pages=1, 4, 12–16 |doi=10.1017/cco9781139058568 |editor-last2=Smith |editor-first2=George E.}}</ref><ref>{{Citation |last=Snobelen |first=Stephen D. |title=Isaac Newton |date=24 February 2021 |work=Renaissance and Reformation |url=https://oxfordbibliographies.com/view/document/obo-9780195399301/obo-9780195399301-0462.xml |access-date=15 November 2024 |publisher=] |doi=10.1093/obo/9780195399301-0462 |isbn=978-0-19-539930-1 |author-link=Stephen Snobelen}}</ref>
'''Sir Isaac Newton''' (] ] – ] ]) <small><nowiki>]: ] ] – ] ]<nowiki>]</nowiki></small><ref name="OSNS"/> was an ] ] ], ], ], and ]. He beat ] in a ] poll of who had the greatest impact on the ].<ref>{{cite web |title=Newton beats Einstein in polls of scientists and the public |work=The Royal Society |url=http://www.royalsoc.ac.uk/news.asp?id=3880 |accessdate=2006-10-25}}</ref> His treatise '']'', published in ], described ] and the three ], laying the groundwork for ]. By demonstrating consistency between ] and this system, he was the first to show that the motion of objects on Earth and of ] bodies are governed by the same set of natural laws. The unifying and predictive power of his laws was central to the ], the advancement of ], and the broader acceptance of the notion that rational investigation can reveal the inner workings of nature.


In the {{lang|la|Principia}}, Newton formulated the ] and ] that formed the dominant scientific viewpoint for centuries until it was superseded by the ]. He used his mathematical description of ] to derive ], account for ]s, the ] of ]s, the ] and other phenomena, eradicating doubt about the ]'s ].<ref>{{Cite book |last=More |first=Louis Trenchard |url=https://archive.org/details/isaacnewtonbiogr0000loui/mode/1up |title=Isaac Newton, a Biography |publisher=Dover Publications |year=1934 |page=327 }}</ref> Newton solved the ], and introduced the ].<ref>{{Cite book |last1=Musielak |first1=Zdzislaw |url=https://books.google.com/books?id=D90tDwAAQBAJ&pg=PA3 |title=Three Body Dynamics and Its Applications to Exoplanets |last2=Quarles |first2=Billy |date=2017 |publisher=Springer International Publishing |isbn=978-3-319-58225-2 |series= |location= |pages=3 |language=en |doi=10.1007/978-3-319-58226-9|bibcode=2017tbdi.book.....M }}</ref> He demonstrated that the ] on Earth and ] could be accounted for by the same principles. Newton's inference that the Earth is an ] was later confirmed by the geodetic measurements of ], ], and others, thereby convincing most European scientists of the superiority of Newtonian mechanics over earlier systems.
In mechanics, Newton also markedly enunciated the principles of ] and ]. In ], he invented the ] and developed a theory of ] based on the observation that a ] decomposes ] ] into a ]. Newton notably argued that ]. He also formulated an empirical ], studied the ], and proposed a theory of the origin of ]s. In mathematics, Newton shares the credit with ] for the ] of ]. He also demonstrated the ], developed the so-called "]" for approximating the zeroes of a ], and contributed to the study of ].


Newton built the ] and developed a sophisticated ] based on the observation that a ] separates ] into the colours of the ]. His work on light was collected in his influential book '']'', published in 1704. He formulated an ], which was the first heat transfer formulation and serves as the formal basis of ],<ref>{{Cite journal |last1=Cheng |first1=K. C. |last2=Fujii |first2=T. |date=1998 |title=Isaac Newton and Heat Transfer |url=http://www.tandfonline.com/doi/abs/10.1080/01457639808939932 |journal=Heat Transfer Engineering |volume=19 |issue=4 |pages=9–21 |doi=10.1080/01457639808939932 |issn=0145-7632}}</ref> made the first theoretical calculation of the ], and introduced the notions of a ] and a ]. Furthermore, he made early investigations into ],<ref>{{Cite book |url=https://books.google.com/books?id=dmNVAAAAcAAJ&pg=PA524 |title=The Encyclopaedia Britannica: Or, Dictionary of Arts, Sciences, and General Literature |publisher=] |year=1855 |volume=VIII |page=524 }}</ref><ref>{{Cite journal |last=Sanford |first=Fernando |year=1921 |title=Some Early Theories Regarding Electrical Forces – The Electric Emanation Theory |url=https://www.jstor.org/stable/6312 |journal=The Scientific Monthly |volume=12 |issue=6 |pages=544–550 |bibcode=1921SciMo..12..544S |issn=0096-3771}}</ref> with an idea from his book ''Opticks'' arguably the beginning of the ].<ref>{{Cite book |last=Rowlands |first=Peter |url=https://books.google.com/books?id=u0NBDwAAQBAJ&pg=PA109 |title=Newton – Innovation And Controversy |publisher=] |year=2017 |isbn=9781786344045 |page=109 }}</ref> In addition to his creation of calculus, as a mathematician, he generalized the ] to any real number, contributed to the study of ], developed ] for approximating the ], classified most of the ]s, and also originated the ] for ].<ref>{{Cite book |url= |title=The Cambridge Companion to Newton |date=2016 |publisher=] |isbn=978-1-139-05856-8 |editor-last=Iliffe |editor-first=Rob |edition=2nd |pages=389, 391, 411 |doi=10.1017/cco9781139058568 |editor-last2=Smith |editor-first2=George E.}}</ref> He further devised an early form of ].<ref name=":11" />
==Biography==
{{IsaacNewtonSegments|left}}
===Early years===
{{Main|Isaac Newton's early life and achievements}}


Newton was a fellow of ] and the second ] at the ]; he was appointed at the age of 26. He was a devout but unorthodox Christian who privately rejected the doctrine of the ]. He refused to take ] in the ], unlike most members of the Cambridge faculty of the day. Beyond his work on the ], Newton dedicated much of his time to the study of ] and ], but most of his work in those areas remained unpublished until long after his death. Politically and personally tied to the ], Newton served two brief terms as ], in 1689–1690 and 1701–1702. He was ]ed by ] in 1705 and spent the last three decades of his life in London, serving as ] (1696–1699) and ] (1699–1727) of the ], in which he increased the accuracy and security of British coinage,<ref>{{Cite journal |last=Belenkiy |first=Ari |date=1 February 2013 |title=The Master of the Royal Mint: How Much Money did Isaac Newton Save Britain? |url=https://academic.oup.com/jrsssa/article/176/2/481/7077810 |journal=Journal of the Royal Statistical Society Series A: Statistics in Society |volume=176 |issue=2 |pages=481–498 |doi=10.1111/j.1467-985X.2012.01037.x |issn=0964-1998|hdl=10.1111/j.1467-985X.2012.01037.x |hdl-access=free }}</ref><ref>{{Cite journal |last=Marples |first=Alice |date=20 September 2022 |title=The science of money: Isaac Newton's mastering of the Mint |url=https://royalsocietypublishing.org/doi/10.1098/rsnr.2021.0033 |journal=Notes and Records: The Royal Society Journal of the History of Science |volume=76 |issue=3 |pages=507–525 |doi=10.1098/rsnr.2021.0033 |issn=0035-9149}}</ref> as well as president of the ] (1703–1727).
]. Portrait by ].]] According to the modern calendar, Isaac Newton was born on ] ] at ] in ], a ] in the county of ]. At the time of Newton's birth, England had not adopted the latest papal calendar and therefore his date of birth was recorded as ] ]. Newton was born three months after his father, also called Isaac, died. Born ], he was a small child; his mother ] reportedly said that he could have fit inside a ] mug. When Newton was three, his mother remarried and went to live with her new husband, the Reverend Barnabus Smith, leaving her son in the care of his maternal grandmother, Margery Ayscough. The young Isaac disliked his step-father and held some enmity towards his mother for marrying him, as revealed by this entry to the list of sins<!--what exactly is this?--> committed up to the age of 19: Threatening my father and mother Smith to burn them and the house over them''<ref>Cohen, I.B. (1970). Dictionary of Scientific Biography, Vol. 11, p.43. New york: Charles Scribner's Sons</ref>


== Early life ==
According to ] and H. Eves:
{{Main|Early life of Isaac Newton}}
Isaac Newton was born (according to the ] in use in England at the time) on Christmas Day, 25 December 1642 (] 4 January 1643{{efn|name=OSNS}}) at ] in ], a ] in the county of Lincolnshire.<ref>{{Cite web |last=Hatch |first=Robert&nbsp;A. |date=1988 |title=Sir Isaac Newton |url=http://users.clas.ufl.edu//ufhatch/pages/01-courses/current-courses/08sr-newton.htm |access-date=13 June 2023 |archive-date=5 November 2022 |archive-url=https://web.archive.org/web/20221105011958/http://users.clas.ufl.edu/ufhatch/pages/01-Courses/current-courses/08sr-newton.htm |url-status=live }}</ref> His father, also named Isaac Newton, had died three months before. ], Newton was a small child; his mother Hannah Ayscough reportedly said that he could have fit inside a ] mug.<ref>{{Cite journal |last=Storr |first=Anthony |author-link=Anthony Storr |date=December 1985 |title=Isaac Newton |journal=British Medical Journal (Clinical Research Edition) |volume=291 |issue=6511 |pages=1779–84 |doi=10.1136/bmj.291.6511.1779 |jstor=29521701 |pmc=1419183 |pmid=3936583}}</ref> When Newton was three, his mother remarried and went to live with her new husband, the Reverend Barnabas Smith, leaving her son in the care of his maternal grandmother, Margery Ayscough (née Blythe). Newton disliked his stepfather and maintained some enmity towards his mother for marrying him, as revealed by this entry in a list of sins committed up to the age of 19: "Threatening my father and mother Smith to burn them and the house over them."<ref>{{Cite journal |last=Keynes |first=Milo |date=20 September 2008 |title=Balancing Newton's Mind: His Singular Behaviour and His Madness of 1692–93 |journal=Notes and Records of the Royal Society of London |volume=62 |issue=3 |pages=289–300 |doi=10.1098/rsnr.2007.0025 |jstor=20462679 |pmid=19244857 |doi-access=free}}</ref> Newton's mother had three children (Mary, Benjamin, and Hannah) from her second marriage.{{sfn|Westfall|1980|p=55}}


=== The King's School ===
:Newton began his schooling in the village schools and was later sent to ], where he became the top student in the school. At King's, he lodged with the local ], ] and eventually became engaged to the apothecary's stepdaughter, Anne Storer, before he went off to the ] at the age of 19. As Newton became engrossed in his studies, the romance cooled and Miss Storey married someone else. It is said he kept a warm memory of this love, but Newton had no other recorded "sweet-hearts" and never married.<ref>{{cite book |last=Bell |first=E.T. |origyear=1937 |year=1986 |title=Men of Mathematics |publisher=Simon & Schuster |location=New York |edition=Touchstone edition |pages=pp. 91-2}}</ref>
From the age of about twelve until he was seventeen, Newton was educated at ] in ], which taught ] and ] and probably imparted a significant foundation of mathematics.<ref>"Newton the Mathematician" Z. Bechler, ed., Contemporary Newtonian Research(Dordrecht 1982) pp. 110–111</ref> He was removed from school by his mother and returned to Woolsthorpe-by-Colsterworth by October 1659. His mother, widowed for the second time, attempted to make him a farmer, an occupation he hated.{{sfn|Westfall|1994|pp=16–19}} Henry Stokes, master at The King's School, persuaded his mother to send him back to school. Motivated partly by a desire for revenge against a schoolyard bully, he became the top-ranked student,{{sfn|White|1997|p=22}} distinguishing himself mainly by building ]s and models of windmills.{{sfn|Westfall|1980|pp=60–62}}


=== University of Cambridge ===
However, Bell and Eves' sources for this claim, William Stukeley and Mrs. Vincent (the former Miss Storer - actually named Katherine, not Anne), merely say that Newton entertained "a passion" for Storer while he lodged at the Clarke house.
In June 1661, Newton was admitted to ] at the ]. His uncle the Reverend William Ayscough, who had studied at Cambridge, recommended him to the university. At Cambridge, Newton started as a ], paying his way by performing ] duties until he was awarded a scholarship in 1664, which covered his university costs for four more years until the completion of his ].{{sfn|Westfall|1980|pp=71, 103}} At the time, Cambridge's teachings were based on those of ], whom Newton read along with then more modern philosophers, including ] and ]s such as ] and ]. He set down in his notebook a series of "]" about ] as he found it. In 1665, he discovered the generalised ] and began to develop a mathematical theory that later became ]. Soon after Newton obtained his BA degree at Cambridge in August 1665, the university temporarily closed as a precaution against the ].<ref>{{cite EB1911 |wstitle=Newton, Sir Isaac |volume=19 |page=583 |first=Henry Martyn |last=Taylor}}</ref>
From the age of about twelve until he was seventeen, Newton was educated at ] (where his signature can still be seen upon a library window sill). He was removed from school, and by October 1659, he was to be found at ], where his mother, widowed by now for a second time, attempted to make a farmer of him. He was, by later reports of his contemporaries, thoroughly unhappy with the work. It appears to have been Henry Stokes, master at the King's School, who persuaded his mother to send him back to school so that he might complete his education. This he did at the age of eighteen, achieving an admirable final report.


Although he had been undistinguished as a Cambridge student, his private studies and the years following his bachelor's degree have been described as "the richest and most productive ever experienced by a scientist".<ref>{{Cite journal |last=Connor |first=Elizabeth |date=1942-01-01 |title=Sir Isaac Newton, the Pioneer of Astrophysics |url=https://ui.adsabs.harvard.edu/abs/1942ASPL....4...55C/abstract |journal=Leaflet of the Astronomical Society of the Pacific |volume=4 |pages=55 |issn=0004-6272}}</ref> The next two years alone saw the development of theories on calculus,<ref>{{Cite web |last=Newton |first=Isaac |title=Waste Book |url=http://cudl.lib.cam.ac.uk/view/MS-ADD-04004 |url-status=live |archive-url=https://web.archive.org/web/20120108205159/http://cudl.lib.cam.ac.uk/view/MS-ADD-04004/ |archive-date=8 January 2012 |access-date=10 January 2012 |publisher=Cambridge University Digital Library}}</ref> ], and the ], at his home in Woolsthorpe.<ref name=":4" />
In June 1661, he was admitted to ]. At that time, the college's teachings were based on those of ], but Newton preferred to read the more advanced ideas of modern philosophers such as ] and ] such as ], ] and ]. In 1665, he discovered the generalized binomial theorem and began to develop a mathematical theory that would later become calculus. Soon after Newton had obtained his degree in 1665, the University closed down as a precaution against the ]. For the next 18 months Newton worked at home on ], ] and the ]. Isaac Newton is believed to have been a virgin throughout his entire life.<ref></ref>


In April 1667, Newton returned to the University of Cambridge, and in October he was elected as a fellow of Trinity.<ref>{{acad|id=NWTN661I|name=Newton, Isaac}}</ref>{{sfn|Westfall|1980|p=178}} Fellows were required to take ] and be ordained as ] priests, although this was not enforced in the ] years, and an assertion of conformity to the ] was sufficient. He made the commitment that "I will either set Theology as the object of my studies and will take holy orders when the time prescribed by these statutes arrives, or I will resign from the college."{{sfn|Westfall|1980|p=179}} Up until this point he had not thought much about religion and had twice signed his agreement to the ], the basis of Church of England doctrine. By 1675 the issue could not be avoided, and by then his unconventional views stood in the way.{{sfn|Westfall|1980|pp=330–331}}
===Middle years===
{{Main|Isaac Newton's middle years}}
]
====Mathematics====


His academic work impressed the ] ], who was anxious to develop his own religious and administrative potential (he became master of Trinity College two years later); in 1669, Newton succeeded him, only one year after receiving his MA. Newton argued that this should exempt him from the ordination requirement, and King ], whose permission was needed, accepted this argument; thus, a conflict between Newton's religious views and Anglican orthodoxy was averted.{{sfn|White|1997|p=151}} He was appointed at the age of 26.<ref>{{Cite book |last=Ackroyd |first=Peter |url=https://archive.org/details/isaacnewton0000ackr/page/39 |title=Isaac Newton |date=2007 |publisher=Vintage Books |isbn=978-0-09-928738-4 |series=Brief Lives |location=London |pages=39–40 |language=en}}</ref>
Most modern historians believe that Newton and Leibniz developed calculus independently, using their own unique notations. According to Newton's inner circle, Newton had worked out his method years before Leibniz, yet he published almost nothing about it until 1693, and did not give a full account until 1704. Meanwhile, Leibniz began publishing a full account of his methods in 1684. Moreover, Leibniz's notation and "differential Method" were universally adopted on the Continent, and after 1820 or so, in the British Empire. Whereas Leibniz's notebooks show the advancement of the ideas from early stages until maturity, there is only the end product in Newton's known notes. Newton claimed that he had been reluctant to publish his calculus because he feared being mocked for it. Starting in 1699, other members of the ] (of which Newton was a member) accused Leibniz of plagiarism, and the dispute broke out in full force in 1711. Newton's Royal Society proclaimed in a study that it was Newton who was the true discoverer and labeled Leibniz a fraud. This study was cast into doubt when it was later found that Newton himself wrote the study's concluding remarks on Leibniz. Thus began the bitter ], which marred the lives of both Newton and Leibniz until the latter's death in 1716. This dispute created a divide between British and Continental mathematicians that may have impeded the progress of British mathematics by at least a century. {{Fact|date=July 2007}}


]''. These figures appeared in subsequent editions as well.<ref name="Warntz1989" />]]
Newton is generally credited with the generalized binomial theorem, valid for any exponent. He discovered ], Newton's method, classified cubic plane curves (polynomials of degree three in two variables), made substantial contributions to the theory of ], and was the first to use fractional indices and to employ coordinate geometry to derive solutions to ]. He approximated partial sums of the harmonic series by logarithms (a precursor to ]), and was the first to use power series with confidence and to revert power series. He also discovered a new formula for ].
The Lucasian Professor of Mathematics at Cambridge position included the responsibility of instructing ].<ref name="Warntz1989">{{cite journal |last1=Warntz |first1=William |title=Newton, the Newtonians, and the Geographia Generalis Varenii |journal=Annals of the Association of American Geographers |date=1989 |volume=79 |issue=2 |pages=165–191 |doi=10.2307/621272 |jstor=621272 |url=https://www.jstor.org/stable/2563251 |access-date=9 June 2024}}</ref> In 1672, and again in 1681, Newton published a revised, corrected, and amended edition of the '']'', a geography textbook first published in 1650 by the then-deceased ].<ref name="Baker1955">{{cite journal |last1=Baker |first1=J. N. L. |title=The Geography of Bernhard Varenius |journal=Transactions and Papers (Institute of British Geographers) |date=1955 |volume=21 |issue=21 |pages=51–60 |doi=10.2307/621272|jstor=621272 }}</ref> In the ''Geographia Generalis,'' Varenius attempted to create a theoretical foundation linking scientific principles to classical concepts in geography, and considered geography to be a mix between science and pure mathematics applied to quantifying features of the Earth.<ref name="Warntz1989" /><ref name="Schuchard2008">{{cite book |last1=Schuchard|first1=Margret |editor1-last=Schuchard |editor1-first=Margret |title=Bernhard Varenius (1622–1650) |date=2008 |publisher=Brill |isbn=978-90-04-16363-8 |pages=227–237 |url=https://brill.com/display/book/edcoll/9789047432197/Bej.9789004163638.i-351_013.xml |access-date=9 June 2024 |chapter=Notes On Geographia Generalis And Its Introduction To England And North America}}</ref> While it is unclear if Newton ever lectured in geography, the 1733 Dugdale and Shaw English translation of the book stated Newton published the book to be read by students while he lectured on the subject.<ref name="Warntz1989" /> The ''Geographia Generalis'' is viewed by some as the dividing line between ancient and modern traditions in the ], and Newton's involvement in the subsequent editions is thought to be a large part of the reason for this enduring legacy.<ref name="Mayhew2011">{{cite book |last1=Mayhew |first1=Robert J. |editor1-last=Agnew |editor1-first=John A. |editor2-last=Livingstone |editor2-first=David N. |title=The SAGE Handbook of Geographical Knowledge |date=2011 |publisher=SAGE Publications Inc. |isbn=978-1-4129-1081-1 |chapter=Geography’s Genealogies}}</ref>


Newton was elected a ].<ref name="frs" />
He was elected ] in 1669. In that day, any fellow of Cambridge or ] had to be an ordained Anglican priest. However, the terms of the Lucasian professorship required that the holder ''not'' be active in the church (presumably so as to have more time for science). Newton argued that this should exempt him from the ordination requirement, and ], whose permission was needed, accepted this argument. Thus a conflict between Newton's religious views and Anglican orthodoxy was averted.


====Optics==== == Mid-life ==
=== Calculus ===
From 1670 to 1672, Newton lectured on optics. During this period he investigated the ] of light, demonstrating that a ] could decompose ] into a ] of colours, and that a ] and a second prism could recompose the multicoloured spectrum into white light.
Newton's work has been said "to distinctly advance every branch of mathematics then studied".{{sfn|Ball|1908|p=319}} His work on the subject, usually referred to as fluxions or calculus, seen in a manuscript of October 1666, is now published among Newton's mathematical papers.<ref>{{cite book |last1=Newton |first1=Isaac |editor1-last=Whiteside |editor1-first=Derek Thomas |title=The Mathematical Papers of Isaac Newton Volume 1 from 1664 to 1666 |date=1967 |publisher=Cambridge University Press |isbn=978-0-521-05817-9 |page=400 |chapter-url=https://archive.org/details/MathematicsIsaacNewtonVol1_1664-66Whiteside1967/MathematicsIsaacNewtonVol1_1664-66Whiteside1967_144x75/page/400/mode/1up |chapter=The October 1666 tract on fluxions}}</ref> His work '']'', sent by ] to ] in June 1669, was identified by Barrow in a letter sent to Collins that August as the work "of an extraordinary genius and proficiency in these things".{{sfn|Gjertsen|1986|p=149}} Newton later ] with ] over priority in the development of calculus. Most modern historians believe that Newton and Leibniz developed calculus independently, although with very different ]s. However, it is established that Newton came to develop calculus much earlier than Leibniz.<ref name=":2">{{Cite book |last=Newman |first=James Roy |url=https://archive.org/details/world1ofmathemati00newm/page/57/mode/1up?q=Newton |title=The World of Mathematics: A Small Library of the Literature of Mathematics from Aʻh-mosé the Scribe to Albert Einstein |publisher=Simon and Schuster |year=1956 |page=58 }}</ref><ref name=":3">{{Citation |last=Sastry |first=S.Subramanya |title=The Newton-Leibniz controversy over the invention of the calculus |journal=Statistical Science |date=May 1998 |volume=13 |issue=2 |url=https://pages.cs.wisc.edu/~sastry/hs323/calculus.pdf |pages=95–122 |access-date=12 October 2023 |publisher=University of Wisconsin–Madison |doi=10.1214/ss/1028905930 |doi-access=free |archive-date=8 January 2024 |archive-url=https://web.archive.org/web/20240108141304/https://pages.cs.wisc.edu/~sastry/hs323/calculus.pdf |url-status=live }}</ref> Leibniz's notation and "differential method", nowadays recognised as much more convenient notations, were adopted by continental European mathematicians, and after 1820, also by British mathematicians.<ref>{{cite book |title=Elementary Calculus: An Infinitesimal Approach |author1=H. Jerome Keisler |edition=3rd |publisher=Courier Corporation |year=2013 |isbn=978-0-486-31046-6 |page=903 |url=https://books.google.com/books?id=8NTCAgAAQBAJ}} </ref> It has been noted that despite the convenience of Leibniz's notation, Newton's notation could still have been used to develop multivariate techniques, with his dot notation still widely used in ]. Some academics have noted the richness and depth of Newton's work, such as physicist ], stating "in most cases Newton’s geometrical methods are not only more concise and elegant, they reveal deeper principles than would become evident by the use of those formal methods of calculus that nowadays would seem more direct." Mathematician ] states "Comparing the texts of Newton with the comments of his successors, it is striking how Newton’s original presentation is more modern, more understandable and richer in ideas than the translation due to commentators of his geometrical ideas into the formal language of the calculus of Leibniz."<ref name=":8">{{Cite book |last=Rowlands |first=Peter |url=https://books.google.com/books?id=u0NBDwAAQBAJ&pg=PA48 |title=Newton – Innovation And Controversy |publisher=] |year=2017 |isbn=9781786344045 |pages=48–49}}</ref>
].]]
He also showed that the colored light does not change its properties, by separating out a colored beam and shining it on various objects. Newton noted that regardless of whether it was reflected or scattered or transmitted, it stayed the same color. Thus the colors we observe are the result of how objects interact with the incident ''already-colored'' light, '''not''' the result of objects ''generating'' the color. For more details, see ].


His work extensively uses calculus in geometric form based on limiting values of the ratios of vanishingly small quantities: in the ''Principia'' itself, Newton gave demonstration of this under the name of "the method of first and last ratios"<ref>Newton, ''Principia'', 1729 English translation, {{Webarchive|url=https://web.archive.org/web/20151003114205/https://books.google.com/books?id=Tm0FAAAAQAAJ&pg=PA41 |date=3 October 2015 }}.</ref> and explained why he put his expositions in this form,<ref>Newton, ''Principia'', 1729 English translation, {{Webarchive|url=https://web.archive.org/web/20160503022921/https://books.google.com/books?id=Tm0FAAAAQAAJ&pg=PA54 |date=3 May 2016 }}.</ref> remarking also that "hereby the same thing is performed as by the method of indivisibles."<ref name="Newton 1850">{{Cite book |last=Newton |first=Sir Isaac |url=https://books.google.com/books?id=N-hHAQAAMAAJ&pg=PA102 |title=Newton's Principia: The Mathematical Principles of Natural Philosophy |date=1850 |publisher=Geo. P. Putnam |access-date=9 March 2019 |archive-url=https://web.archive.org/web/20190626230020/https://books.google.com/books?id=N-hHAQAAMAAJ&pg=PA102 |archive-date=26 June 2019 |url-status=live}}</ref> Because of this, the ''Principia'' has been called "a book dense with the theory and application of the infinitesimal calculus" in modern times<ref>Clifford Truesdell, ''Essays in the History of Mechanics'' (1968), p.&nbsp;99.</ref> and in Newton's time "nearly all of it is of this calculus."<ref>In the preface to the Marquis de L'Hospital's ''Analyse des Infiniment Petits'' (Paris, 1696).</ref> His use of methods involving "one or more orders of the infinitesimally small" is present in his ''De motu corporum in gyrum'' of 1684<ref>Starting with ], see also {{Webarchive|url=https://web.archive.org/web/20160512135306/https://books.google.com/books?id=uvMGAAAAcAAJ&pg=RA1-PA2 |date=12 May 2016 }}.</ref> and in his papers on motion "during the two decades preceding 1684".<ref>Whiteside, D.T., ed. (1970). "The Mathematical principles underlying Newton's Principia Mathematica". ''Journal for the History of Astronomy''. '''1'''. Cambridge University Press. pp.&nbsp;116–138.</ref>
From this work he concluded that any refracting ] would suffer from the ] of light into colours, and invented a reflecting telescope (today known as a ]) to bypass that problem. By grinding his own mirrors, using ] to judge the ] of the optics for his telescopes, he was able to produce a superior instrument to the refracting telescope, due primarily to the wider diameter of the mirror. In 1671 the Royal Society asked for a demonstration of his reflecting telescope. Their interest encouraged him to publish his notes ''On Colour'', which he later expanded into his ''Opticks''. When ] criticised some of Newton's ideas, Newton was so offended that he withdrew from public debate. The two men remained enemies until Hooke's death.


]]]
Newton argued that light is composed of particles, but he had to associate them with ]s to explain the ] of light (''Opticks'' Bk. II, Props. XII-L). Later physicists instead favoured a purely wavelike explanation of light to account for diffraction. Today's ] restores the idea of "wave-particle duality", although ]s bear very little resemblance to Newton's ''corpuscles'' (e.g., corpuscles refracted by accelerating toward the denser medium).


Newton had been reluctant to publish his calculus because he feared controversy and criticism.{{sfn|Stewart|2009|p=107}} He was close to the Swiss mathematician ]. In 1691, Duillier started to write a new version of Newton's ''Principia'', and corresponded with Leibniz.{{sfn|Westfall|1980|pp=538–539}} In 1693, the relationship between Duillier and Newton deteriorated and the book was never completed.{{sfn|Westfall|1994|p=108}} Starting in 1699, Duillier accused Leibniz of plagiarism.<ref>{{Cite journal |last=Palomo |first=Miguel |date=2 January 2021 |title=New insight into the origins of the calculus war |url=https://www.tandfonline.com/doi/full/10.1080/00033790.2020.1794038 |journal=Annals of Science |volume=78 |issue=1 |pages=22–40 |doi=10.1080/00033790.2020.1794038 |pmid=32684104 |issn=0003-3790}}</ref> Mathematician ] accused Leibniz of plagiarism in 1708 in the Royal Society journal, thereby deteriorating the situation even more.<ref>{{Cite book |url= |title=The Cambridge Companion to Newton |date=2016 |publisher=] |isbn=978-1-139-05856-8 |editor-last=Iliffe |editor-first=Rob |edition=2nd |page=414 |doi=10.1017/cco9781139058568 |editor-last2=Smith |editor-first2=George E.}}</ref> The dispute then broke out in full force in 1711 when the Royal Society proclaimed in a study that it was Newton who was the true discoverer and labelled Leibniz a fraud; it was later found that Newton wrote the study's concluding remarks on Leibniz. Thus began the bitter controversy which marred the lives of both men until Leibniz's death in 1716.{{sfn|Ball|1908|p=356}}
In his ''Hypothesis of Light'' of 1675, Newton ]ed the existence of the ] to transmit forces between particles. The contact with the ] ], revived his interest in alchemy. He replaced the ether with occult forces based on ] ideas of attraction and repulsion between particles. ], who acquired many of Newton's writings on alchemy, stated that "Newton was not the first of the age of reason: he was the last of the magicians."<ref>{{cite book |last=Keynes |first=John Maynard |year=1972 |chapter="Newton, The Man" |title=The Collected Writings of John Maynard Keynes Volume X |publiser=MacMillan St. Martin's Press |pages=pp. 363-4}}</ref> Newton's interest in alchemy cannot be isolated from his contributions to science.<ref>{{cite book |last=Westfall |first=Richard S. |origyear=1980 |year=1983 |title="Never at Rest: A Biography of Isaac Newton |publisher=Cambridge University Press |location=Cambridge |pages=pp. 530-1}} notes that Newton apparently abandoned his alchemical researches.</ref> (This was at a time when there was no clear distinction between alchemy and science.) Had he not relied on the ] idea of ], across a vacuum, he might not have developed his theory of gravity. (See also ].)


Newton is generally credited with the ], valid for any exponent. He discovered ], ], classified ]s (] of degree three in two ]), made substantial contributions to the theory of ], with him regarded as "the single most significant contributor to finite difference ]", with many formulas created by Newton.<ref>{{Cite book |last=Roy |first=Ranjan |author-link=Ranjan Roy |url=https://books.google.com/books?id=KyYhEAAAQBAJ&pg=PA190 |title=Series and Products in the Development of Mathematics |publisher=] |year=2021 |isbn=978-1-108-70945-3 |edition=2nd |volume=I |location=Cambridge |pages=190–191 }}</ref> Newton was also the first to use fractional indices and to employ ] to derive solutions to ]. He approximated ] sums of the ] by ] (a precursor to ]) and was the first to use ] with confidence and to revert power series. His work on infinite series was inspired by ]'s decimals.<ref>{{Cite journal |last1=Błaszczyk |first1=P. |last2=Katz |first2=M.&nbsp;G. |author-link2=Mikhail Katz |last3=Sherry |first3=D. |display-authors=1 |date=March 2013 |title=Ten misconceptions from the history of analysis and their debunking |journal=] |volume=18 |issue=1 |pages=43–74 |arxiv=1202.4153 |doi=10.1007/s10699-012-9285-8 |s2cid=119134151}}</ref>
In 1704 Newton wrote '']'', in which he expounded his corpuscular theory of light. He considered light to be made up of extremely subtle corpuscles, that ordinary matter was made of grosser corpuscles and speculated that through a kind of alchemical transmutation "Are not gross Bodies and Light convertible into one another,...and may not Bodies receive much of their Activity from the Particles of Light which enter their Composition?"<ref>{{cite journal |last=Dobbs |first=J.T. |year=1982 |month=December |title=Newton's Alchemy and His Theory of Matter |journal=Isis |volume=73 |issue=4 |pages=p. 523}} quoting ''Opticks''</ref> Newton also constructed a primitive form of a frictional ], using a ] globe (Optics, 8th Query).


====Mechanics and gravitation==== === Optics ===
] in 1672 (the first one he made in 1668 was loaned to an instrument maker but there is no further record of what happened to it).<ref>{{Cite book |last=King |first=Henry&nbsp;C. |url=https://books.google.com/books?id=KAWwzHlDVksC&q=history+of+the+telescope |title=The History of the Telescope |publisher=Courier Corporation |year=1955 |isbn=978-0-486-43265-6 |page=74 |access-date=1 August 2013 |archive-date=26 February 2024 |archive-url=https://web.archive.org/web/20240226144328/https://books.google.com/books?id=KAWwzHlDVksC&q=history+of+the+telescope#v=snippet&q=history%20of%20the%20telescope&f=false |url-status=live }}</ref>]]
]
{{further|]}}


In 1666, Newton observed that the spectrum of colours exiting a ] in the position of ] is oblong, even when the light ray entering the prism is circular, which is to say, the prism refracts different colours by different angles.<ref name="Whittaker" /><ref>{{Cite book |last=Darrigol |first=Olivier |url=https://books.google.com/books?id=Ye_1AAAAQBAJ&pg=PAPA81 |title=A History of Optics from Greek Antiquity to the Nineteenth Century |date=2012 |publisher=Oxford University Press |isbn=978-0-19-964437-7 |page=81 |access-date=1 December 2018 |archive-date=26 February 2024 |archive-url=https://web.archive.org/web/20240226144911/https://books.google.com/books?id=Ye_1AAAAQBAJ&pg=PAPA81#v=onepage&q&f=false |url-status=live }}</ref> This led him to conclude that colour is a property intrinsic to light – a point which had, until then, been a matter of debate.
In 1679, Newton returned to his work on mechanics, i.e., gravitation and its effect on the orbits of ]s, with reference to Kepler's laws of planetary motion, and consulting with Hooke and ] on the subject. He published his results in ''De Motu Corporum'' (1684). This contained the beginnings of the laws of motion that would inform the ''Principia''.


From 1670 to 1672, Newton lectured on optics.<ref>{{Cite web |last=Newton |first=Isaac |title=Hydrostatics, Optics, Sound and Heat |url=http://cudl.lib.cam.ac.uk/view/MS-ADD-03970/ |url-status=live |archive-url=https://web.archive.org/web/20120108215515/http://cudl.lib.cam.ac.uk/view/MS-ADD-03970/ |archive-date=8 January 2012 |access-date=10 January 2012 |publisher=Cambridge University Digital Library}}</ref> During this period he investigated the ] of light, demonstrating that the multicoloured image produced by a prism, which he named a ], could be recomposed into white light by a ] and a second prism.{{sfn|Ball|1908|p=324}} Modern scholarship has revealed that Newton's analysis and resynthesis of white light owes a debt to ] alchemy.<ref>], "Newton's Early Optical Theory and its Debt to Chymistry", in Danielle Jacquart and Michel Hochmann, eds., ''Lumière et vision dans les sciences et dans les arts'' (Geneva: Droz, 2010), pp. 283–307. A free access online version of this article can be found at {{Webarchive|url=https://web.archive.org/web/20160528020600/http://webapp1.dlib.indiana.edu/newton/html/Newton_optics-alchemy_Jacquart_paper.pdf |date=28 May 2016 }} (PDF)</ref>
The '']'' (now known as the ''Principia'') was published on ] ] with encouragement and financial help from ]. In this work Newton stated the ] that were not to be improved upon for more than two hundred years. He used the Latin word ''gravitas'' (weight) for the force that would become known as ], and defined the law of ]. In the same work he presented the first analytical determination, based on ], of the speed of sound in air.


In his work on ] in 1671, he used a method that was unprecedented in the 17th century, as "he ''averaged'' all of the differences, and he then calculated the difference between the average and the value for the first ring", in effect introducing a now ] for reducing noise in measurements, and which does not appear elsewhere at the time.<ref>{{Cite web |last=Drum |first=Kevin |date=2013-05-10 |title=The Groundbreaking Isaac Newton Invention You’ve Never Heard Of |url=https://www.motherjones.com/kevin-drum/2013/05/groundbreaking-isaac-newton-invention-youve-never-heard/ |access-date=2024-12-21 |website=Mother Jones |language=en-US}}</ref> He extended his "error-slaying method" to studies of equinoxes in 1700, which was described as an "altogether unprecedented method" but differed in that here "Newton required good values for each of the original equinoctial times, and so he devised a method that allowed them to, as it were, self-correct."<ref name=":11">{{Cite book |last=Buchwald |first=Jed Z. |title=Newton and the Origin of Civilization |last2=Feingold |first2=Mordechai |date=2013 |publisher=] |isbn=978-0-691-15478-7 |location= |pages=90–93, 101–103}}</ref> Newton is credited with introducing "an embryonic linear ]. Not only did he perform the averaging of a set of data, 50 years before ], but summing the residuals to zero he ''forced'' the regression line to pass through the average point". Newton also "distinguished between two inhomogeneous sets of data and might have thought of an ''optimal'' solution in terms of bias, though not in terms of effectiveness".<ref>{{cite arXiv |eprint=0810.4948 |class=physics.hist-ph |first=Ari |last=Belenkiy |first2=Eduardo Vila |last2=Echague |title=Groping Toward Linear Regression Analysis: Newton's Analysis of Hipparchus' Equinox Observations |date=2008}}</ref>
With the ''Principia'', Newton became internationally recognised. He acquired a circle of admirers, including the ]-born mathematician ], with whom he formed an intense relationship that lasted until 1693. The end of this friendship led Newton to a ].


He showed that coloured light does not change its properties by separating out a coloured beam and shining it on various objects, and that regardless of whether reflected, scattered, or transmitted, the light remains the same colour. Thus, he observed that colour is the result of objects interacting with already-coloured light rather than objects generating the colour themselves. This is known as ].{{sfn|Ball|1908|p=325}}
==Religious views==
{{main|Isaac Newton's religious views}}
Although the laws of motion and universal gravitation became Newton's best-known discoveries, he warned against using them to view the universe as a mere machine, as if akin to a great clock. He said, "Gravity explains the motions of the planets, but it cannot explain who set the planets in motion. God governs all things and knows all that is or can be done."<ref name="tiner">{{cite book |last=Tiner |first=J.H. |year=1975 |title=Isaac Newton: Inventor, Scientist and Teacher |publisher=Mott Media |location=Milford, Michigan, U.S.}}</ref>


] separating white light into the colours of the spectrum, as discovered by Newton]]
His scientific fame notwithstanding, Newton's study of the Bible and of the early ] were among his greatest passions. He devoted more time to the study of the Scriptures, the Fathers, and to ] than to science, and said, "I have a fundamental belief in the Bible as the Word of God, written by those who were inspired. I study the Bible daily."<ref name="tiner" /> Newton himself wrote works on ], most notably '']''. Newton also placed the crucifixion of ] at ], AD 33, which agrees with one traditionally accepted date.<ref>John P. Meier, '']'', v. 1, pp. 382-402 after narrowing the years to 30 or 33, provisionally judges 30 most likely.</ref> He also attempted, unsuccessfully, to find hidden messages within the Bible (See ]). Despite his focus on ] and alchemy, Newton tested and investigated these ideas with the ], observing, hypothesising, and testing his theories. To Newton, his scientific and religious experiments were one and the same, observing and understanding how the world functioned.


From this work, he concluded that the lens of any ] would suffer from the ] of light into colours (]). As a proof of the concept, he constructed a telescope using reflective mirrors instead of lenses as the ] to bypass that problem. Building the design, the first known functional reflecting telescope, today known as a ], involved solving the problem of a suitable mirror material and shaping technique.<ref name="White 1997, p170" /> Newton ground his own mirrors out of a custom composition of highly reflective ], using Newton's rings to judge the ] of the optics for his telescopes. In late 1668,<ref name="books.google.com" /> he was able to produce this first reflecting telescope. It was about eight inches long and it gave a clearer and larger image. In 1671, the Royal Society asked for a demonstration of his reflecting telescope.{{sfn|White|1997|p=168}} Their interest encouraged him to publish his notes, ''Of Colours'',<ref>{{Cite web |last=Newton |first=Isaac |title=Of Colours |url=http://www.newtonproject.sussex.ac.uk/view/texts/normalized/NATP00004 |url-status=live |archive-url=https://web.archive.org/web/20141009051407/http://www.newtonproject.sussex.ac.uk/view/texts/normalized/NATP00004 |archive-date=9 October 2014 |access-date=6 October 2014 |website=The Newton Project}}</ref> which he later expanded into the work '']''. When ] criticised some of Newton's ideas, Newton was so offended that he withdrew from public debate. Newton and Hooke had brief exchanges in 1679–80, when Hooke, appointed to manage the Royal Society's correspondence, opened up a correspondence intended to elicit contributions from Newton to Royal Society transactions,<ref name="hooke1679nov24" /> which had the effect of stimulating Newton to work out a proof that the elliptical form of planetary orbits would result from a centripetal force inversely proportional to the square of the radius vector. The two men remained generally on poor terms until Hooke's death.<ref>Iliffe, Robert (2007) Newton. A very short introduction, Oxford University Press 2007</ref>
Newton may have rejected the church's doctrine of the Trinity. In a minority view, T.C. Pfizenmaier argues that he more likely held the ] view of the Trinity rather than the Western one held by ]s, ]s, and most ]s.<ref>{{cite journal |last=Pfizenmaier |first=T.C. |year=1997 |title=Was Isaac Newton an Arian? |journal=Journal of the History of Ideas |volume=68 |issue=1 |pages=pp. 57-80}}</ref> In his own day, he was also accused of being a ] (as were many in the Royal Society and in the court of Charles II).<ref>{{cite book |last=Yates |first=Frances A. |year=1972 |title=The Rosicrucian Enlightenment |publisher=Routledge |location=London}}</ref>


], commenting on Briggs' ''A New Theory of Vision'']]
In his own lifetime, Newton wrote more on religion than he did on natural science. He believed in a rationally immanent world, but he rejected the ] implicit in Leibniz and ]. Thus, the ordered and dynamically informed ] could be understood, and must be understood, by an active reason, but this universe, to be perfect and ordained, had to be regular.


Newton argued that light is composed of particles or corpuscles, which were refracted by accelerating into a denser medium. He verged on soundlike waves to explain the repeated pattern of reflection and transmission by thin films (''Opticks'' Bk. II, Props. 12), but still retained his theory of 'fits' that disposed corpuscles to be reflected or transmitted (Props.13). However, later physicists favoured a purely wavelike explanation of light to account for the ] patterns and the general phenomenon of ]. Today's ], ], and the idea of ] bear only a minor resemblance to Newton's understanding of light.
===Newton's effect on religious thought===
]; here, Newton is depicted as a 'divine geometer']]
Newton and ]’s mechanical philosophy was promoted by ] ]s as a viable alternative to the ] and ], and was accepted hesitantly by orthodox preachers as well as dissident preachers like the ]s.<ref>{{cite book |last=Jacob |first=Margaret C. |year=1976 |title=The Newtonians and the English Revolution: 1689-1720 |publisher=Cornell University Press |pages=pp. 37,44}}</ref> Thus, the clarity and simplicity of science was seen as a way to combat the emotional and ] superlatives of both ] enthusiasm and the threat of ],<ref>{{cite book |last=Westfall |first=Richard S. |year=1958 |title=Science and Religion in Seventeenth-Century England |publisher=Yale University Press |location=New Haven |pages=p. 200}}</ref> and, at the same time, the second wave of English ] used Newton's discoveries to demonstrate the possibility of a "Natural Religion."


In his ''Hypothesis of Light'' of 1675, Newton posited the existence of the ] to transmit forces between particles. The contact with the ] philosopher ] revived his interest in alchemy.<ref name="More" /> He replaced the ether with occult forces based on ] ideas of attraction and repulsion between particles. His contributions to science cannot be isolated from his interest in alchemy.<ref name="More" /> This was at a time when there was no clear distinction between alchemy and science.<ref>{{cite book |title=Pseudoscience: The Conspiracy Against Science |author1=Allison B. Kaufman |author2=James C. Kaufman |edition=illustrated |publisher=MIT Press |year=2019 |isbn=978-0-262-53704-9 |page=9 |url=https://books.google.com/books?id=ZLT4DwAAQBAJ}} </ref><ref>{{cite book |title=Exchanges between Literature and Science from the 1800s to the 2000s: Converging Realms |author1=Márcia Lemos |edition=reprinted |publisher=Cambridge Scholars Publishing |year=2017 |isbn=978-1-4438-7605-6 |page=83 |url=https://books.google.com/books?id=6xNUDgAAQBAJ}} </ref>
The attacks made against pre-] "magical thinking," and the ], were given their foundation with Boyle’s mechanical conception of the universe. Newton gave Boyle’s ideas their completion through ]s and, perhaps more importantly, was very successful in popularising them.<ref>{{cite book |last=Haakonssen |first=Knud |editor=Martin Fitzpatrick ed. |chapter=The Enlightenment, politics and providence: some Scottish and English comparisons |title=Enlightenment and Religion: Rational Dissent in eighteenth-century Britain |publisher=Cambridge University Press |location=Cambridge |pages=p. 64}}</ref> Newton refashioned the world governed by an interventionist God into a world crafted by a God that designs along rational and universal principles.<ref>{{cite book |last=Frankel |first=Charles |year=1948 |title=The Faith of Reason: The Idea of Progress in the French Enlightenment |publisher=King's Crown Press |location=New York |pages=p. 1}}</ref> These principles were available for all people to discover, allowed man to pursue his own aims fruitfully in this life, not ], and to perfect himself with his own rational powers.<ref>{{cite book |last=Germain |first=Gilbert G. |title= A Discourse on Disenchantment: Reflections on Politics and Technology |pages=p. 28}}</ref>


In 1704, Newton published '']'', in which he expounded his corpuscular theory of light, and included a set of queries at the end. He considered light to be made up of extremely subtle corpuscles, that ordinary matter was made of grosser corpuscles and speculated that through a kind of alchemical transmutation "Are not gross Bodies and Light convertible into one another,&nbsp;... and may not Bodies receive much of their Activity from the Particles of Light which enter their Composition?"<ref name="Newton's Alchemy and His Theory of Matter" /> He also constructed a primitive form of a frictional ], using a glass globe.<ref>Opticks, 2nd Ed 1706. Query 8.</ref>
Newton saw God as the master creator whose existence could not be denied in the face of the grandeur of all creation.<ref>Principia, Book III; cited in; Newton’s Philosophy of Nature: Selections from his writings, p. 42, ed. H.S. Thayer, Hafner Library of Classics, NY, 1953.</ref><ref>A Short Scheme of the True Religion, manuscript quoted in Memoirs of the Life, Writings and Discoveries of Sir Isaac Newton by Sir David Brewster, Edinburgh, 1850; cited in; ibid, p. 65.</ref><ref>Webb, R.K. ed. Knud Haakonssen. “The emergence of Rational Dissent.” Enlightenment and Religion: Rational Dissent in eighteenth-century Britain. Cambridge University Press, Cambridge: 1996. p19.</ref> But the unforeseen ] consequence of his conception of God, as Leibniz pointed out, was that God was now entirely removed from the world’s affairs, since the need for intervention would only evidence some imperfection in God’s creation, something impossible for a perfect and ] creator.<ref> Westfall, Richard S. Science and Religion in Seventeenth-Century England. p201.</ref> Leibniz's ] cleared God from the responsibility for ''"]"'' by making God removed from participation in his creation. The understanding of the world was now brought down to the level of simple human reason, and humans, as Odo Marquard argued, became responsible for the correction and elimination of evil.<ref>Marquard, Odo. "Burdened and Disemburdened Man and the Flight into Unindictability," in Farewell to Matters of Principle. Robert M. Wallace trans. London: Oxford UP, 1989.</ref>


In his book ''Opticks'', Newton was the first to show a diagram using a prism as a beam expander, and also the use of multiple-prism arrays.<ref name="OPN1" /> Some 278 years after Newton's discussion, ] became central to the development of ] ]s. Also, the use of these prismatic beam expanders led to the ].<ref name=OPN1 />
On the other hand, latitudinarian and Newtonian ideas taken too far resulted in the ]s, a religious ] dedicated to the concept of a mechanical universe, but finding in it the same enthusiasm and mysticism that the Enlightenment had fought so hard to extinguish.<ref>Jacob, Margaret C. The Newtonians and the English Revolution: 1689-1720. p100-101.</ref>


Subsequent to Newton, much has been amended. ] and ] discarded Newton's particle theory in favour of ] wave theory to show that colour is the visible manifestation of light's wavelength. Science also slowly came to realise the difference between perception of colour and mathematisable optics. The German poet and scientist, ], could not shake the Newtonian foundation but "one hole Goethe did find in Newton's armour,&nbsp;... Newton had committed himself to the doctrine that refraction without colour was impossible. He, therefore, thought that the object-glasses of telescopes must forever remain imperfect, achromatism and refraction being incompatible. This inference was proved by ] to be wrong."<ref>Tyndall, John. (1880). ''Popular Science Monthly'' Volume 17, July. ]</ref>
==Views over end of the world==
]]]
{{see also|Isaac Newton's occult studies}}
{{see also|Eschatology}}
In a manuscript he wrote in 1704 in which he describes his attempts to extract scientific information from the Bible, he estimated that the world would end no earlier than 2060. In predicting this he said, "This I mention not to assert when the time of the end shall be, but to put a stop to the rash conjectures of fanciful men who are frequently predicting the time of the end, and by doing so bring the sacred prophesies into discredit as often as their predictions fail." <ref></ref>


=== Gravity ===
==Newton and the counterfeiters==
]'' with Newton's hand-written corrections for the second edition, now housed in the ] at ]]]
As warden of the ], Newton estimated that 20% of the coins taken in during The ] were ]. Counterfeiting was ], punishable by being ]. Despite this, convictions of the most flagrant criminals could be extremely difficult to achieve; however, Newton proved to be equal to the task.


Newton had been developing his theory of gravitation as far back as 1665.<ref name=":4">{{Cite book |last=Struik |first=Dirk J. |url=https://archive.org/details/concisehistoryof02stru/mode/1up |title=A Concise History of Mathematics |publisher=Dover Publications |year=1948 |pages=151, 154 |author-link=Dirk Jan Struik}}</ref><ref name=":5">{{Cite web |last=McDonald |first=Kerry |date=27 March 2020 |title=How Isaac Newton Turned Isolation From the Great Plague Into a "Year of Wonders" |url=https://fee.org/articles/how-isaac-newton-turned-isolation-from-the-great-plague-into-a-year-of-wonders/ |access-date=14 October 2023 |website=fee.org |archive-date=24 September 2023 |archive-url=https://web.archive.org/web/20230924131713/https://fee.org/articles/how-isaac-newton-turned-isolation-from-the-great-plague-into-a-year-of-wonders/ |url-status=live }}</ref> In 1679, Newton returned to his work on ] by considering gravitation and its effect on the orbits of ]s with reference to ] of planetary motion. This followed stimulation by a brief exchange of letters in 1679–80 with Hooke, who had been appointed Secretary of the Royal Society,<ref>{{Cite book |last=Inwood |first=Stephen |url=https://archive.org/details/forgottengeniusb00inwo/page/246 |title=The Forgotten Genius |publisher=MacAdam/Cage Pub. |year=2003 |isbn=978-1-931561-56-3 |location=San Francisco |pages=246–247 |oclc=53006741}}</ref> and who opened a correspondence intended to elicit contributions from Newton to Royal Society transactions.<ref name=hooke1679nov24 /> Newton's reawakening interest in astronomical matters received further stimulus by the appearance of a comet in the winter of 1680–1681, on which he corresponded with ].{{sfn|Westfall|1980|pp=391–392}} After the exchanges with Hooke, Newton worked out a proof that the elliptical form of planetary orbits would result from a centripetal force inversely proportional to the square of the radius vector. Newton communicated his results to ] and to the Royal Society in {{lang|la|]}}, a tract written on about nine sheets which was copied into the Royal Society's Register Book in December 1684.<ref>Whiteside, D.T., ed. (1974). ''Mathematical Papers of Isaac Newton, 1684–1691''. '''6'''. Cambridge University Press. p.&nbsp;30.</ref> This tract contained the nucleus that Newton developed and expanded to form the ''Principia''.
He gathered much of that evidence himself, disguised, while he hung out at bars and taverns. For all the barriers placed to prosecution, and separating the branches of government, ] still had ancient and formidable customs of authority. Newton was made a ] and between June 1698 and Christmas 1699 conducted some 200 cross-examinations of witnesses, informers and suspects. Newton won his convictions and in February 1699, he had ten prisoners waiting to be executed. He later ordered all records of his interrogations to be destroyed.{{Fact|date=February 2007}}


The {{lang|la|]}} was published on 5 July 1687 with encouragement and financial help from Halley. In this work, Newton stated the ]. Together, these laws describe the relationship between any object, the forces acting upon it and the resulting motion, laying the foundation for ]. They contributed to many advances during the ] which soon followed and were not improved upon for more than 200 years. Many of these advances continue to be the underpinnings of non-relativistic technologies in the modern world. He used the Latin word ''gravitas'' (weight) for the effect that would become known as ], and defined the law of ].<ref name="Schmitz2018">{{Cite book |last=Schmitz |first=Kenneth&nbsp;S. |url=https://books.google.com/books?id=4WGdBgAAQBAJ&pg=PA251 |title=Physical Chemistry: Multidisciplinary Applications in Society |publisher=Elsevier |year=2018 |isbn=978-0-12-800599-6 |location=Amsterdam |page=251 |access-date=1 March 2020 |archive-url=https://web.archive.org/web/20200310132426/https://books.google.com/books?id=4WGdBgAAQBAJ&pg=PA251 |archive-date=10 March 2020 |url-status=live}}</ref>
Possibly Newton's greatest triumph as the king's attorney was against William Chaloner. One of Chaloner's schemes was to set up phony conspiracies of ] and then turn in the hapless conspirators whom he entrapped. Chaloner made himself rich enough to posture as a gentleman. Petitioning Parliament, Chaloner accused the Mint of providing tools to counterfeiters (a charge also made by others). He proposed that he be allowed to inspect the Mint's processes in order to improve them. He petitioned Parliament to adopt his plans for a coinage that could not be counterfeited, while at the same time striking false coins. Newton was outraged, and went about the work to uncover anything about Chaloner. During his studies, he found that Chaloner was engaged in counterfeiting. He immediately put Chaloner on trial, but Mr Chaloner had friends in high places, and to Newton's horror, Chaloner walked free. Newton put him on trial a second time with conclusive evidence. Chaloner was convicted of high treason and hanged, drawn and quartered on ] ] at ].<ref>Westfall 1980, pp. 571-5</ref>


In the same work, Newton presented a calculus-like method of geometrical analysis using 'first and last ratios', gave the first analytical determination (based on ]) of the speed of sound in air, inferred the oblateness of Earth's spheroidal figure, accounted for the precession of the equinoxes as a result of the Moon's gravitational attraction on the Earth's oblateness, initiated the gravitational study of the ], provided a theory for the determination of the orbits of comets, and much more.<ref name="Schmitz2018" /> Newton's biographer ] reported that the complexity of applying his theory of gravity to the motion of the moon was so great it affected Newton's health: "e was deprived of his appetite and sleep" during his work on the problem in 1692–93, and told the astronomer ] that "his head never ached but when he was studying the subject". According to Brewster, ] also told ] that when pressed to complete his analysis Newton "always replied that it made his head ache, and ''kept him awake so often, that he would think of it no more''". <ref>{{Cite web |last=Brewster |first=Sir David |date=22 March 1860 |title=Memoirs of the Life, Writings, and Discoveries of Sir Isaac Newton |url=https://books.google.com/books?id=acBV7QHgMIAC&q=head+ache&pg=PA3 |publisher=Edmonston and Douglas |via=Google Books |access-date=22 March 2023 |archive-date=19 April 2023 |archive-url=https://web.archive.org/web/20230419215520/https://books.google.com/books?id=acBV7QHgMIAC&q=head+ache&pg=PA3 |url-status=live }}</ref>
==Enlightenment philosophers==
] philosophers chose a short history of scientific predecessors—Galileo, Boyle, and Newton principally—as the guides and guarantors of their applications of the singular concept of ] and ] to every physical and social field of the day. In this respect, the lessons of history and the social structures built upon it could be discarded.<ref>Cassels, Alan. Ideology and International Relations in the Modern World. p2.</ref>


Newton made clear his ] view of the Solar System—developed in a somewhat modern way because already in the mid-1680s he recognised the "deviation of the Sun" from the centre of gravity of the Solar System.<ref>See Curtis Wilson, "The Newtonian achievement in astronomy", pp. 233–274 in R Taton & C Wilson (eds) (1989) ''The General History of Astronomy'', Volume, 2A', {{Webarchive|url=https://web.archive.org/web/20151003121307/https://books.google.com/books?id=rkQKU-wfPYMC&pg=PA233 |date=3 October 2015 }}.</ref> For Newton, it was not precisely the centre of the Sun or any other body that could be considered at rest, but rather "the common centre of gravity of the Earth, the Sun and all the Planets is to be esteem'd the Centre of the World", and this centre of gravity "either is at rest or moves uniformly forward in a right line". (Newton adopted the "at rest" alternative in view of common consent that the centre, wherever it was, was at rest.)<ref>Text quotations are from 1729 translation of Newton's ''Principia'', Book 3 (1729 vol.2) .</ref>
It was Newton’s conception of the universe based upon Natural and rationally understandable laws that became the seed for Enlightenment ]. Locke and ] applied concepts of Natural Law to political systems advocating intrinsic rights; the ]s and ] applied Natural conceptions of ] and ] to economic systems and the ] criticised the current ] for trying to fit history into Natural models of ]. ] and ] resisted elements of Newton's work, but eventually rationalised it to conform with their strong religious views of nature.


Newton was criticised for introducing "] agencies" into science because of his postulate of an invisible ].<ref>Edelglass et al., ''Matter and Mind'', {{isbn|0-940262-45-2}}. p. 54</ref> Later, in the second edition of the ''Principia'' (1713), Newton firmly rejected such criticisms in a concluding ], writing that it was enough that the phenomena implied a gravitational attraction, as they did; but they did not so far indicate its cause, and it was both unnecessary and improper to frame hypotheses of things that were not implied by the phenomena. (Here Newton used what became his famous expression {{lang|la|"]"}}.<ref>On the meaning and origins of this expression, see Kirsten Walsh, {{Webarchive|url=https://web.archive.org/web/20140714120054/https://blogs.otago.ac.nz/emxphi/2010/10/does-newton-feign-an-hypothesis/ |date=14 July 2014 }}, {{Webarchive|url=https://web.archive.org/web/20110721051523/https://blogs.otago.ac.nz/emxphi/ |date=21 July 2011 }}, 18 October 2010.</ref>)
==Newton's laws of motion==
{{main|Newton's laws of motion}}
The famous three laws of motion:
# ''Newton's First Law'' (also known as the Law of ]) states that an object at rest tends to stay at rest and that an object in uniform motion tends to stay in uniform motion unless acted upon by a net external force.
# ''Newton's Second Law'' states that an applied force, <math> F </math>, on an object equals the time rate of change of its momentum, <math> p </math>. Mathematically, this is written as <math> \vec F = \frac{d\vec p}{dt} \, = \, \frac{d}{dt} (m \vec v) \, = \, \vec v \, \frac{dm}{dt} + m \, \frac{d\vec v}{dt} \,.</math> Assuming the mass to be constant, the first term vanishes. Defining the acceleration to be <math>\vec a \ =\ d\vec v/dt </math> results in the famous equation <math> \vec F = m \, \vec a \,,</math> which states that the acceleration of an object is directly proportional to the magnitude of the net force acting on the object and inversely proportional to its mass. In the MKS system of measurement, mass is given in ], acceleration in metres per second squared, and force in ]s (named in his honour).
# ''Newton's Third Law'' states that for every action there is an equal and opposite reaction.


With the {{lang|la|Principia}}, Newton became internationally recognised.{{sfn|Westfall|1980|loc=Chapter 11}} He acquired a circle of admirers, including the Swiss-born mathematician ].<ref name="Hatch">{{Cite web |last=Hatch |first=Professor Robert&nbsp;A. |title=Newton Timeline |url=http://web.clas.ufl.edu/users/ufhatch/pages/13-NDFE/newton/05-newton-timeline-m.htm |url-status=dead |archive-url=https://web.archive.org/web/20120802071026/http://web.clas.ufl.edu/users/ufhatch/pages/13-NDFE/newton/05-newton-timeline-m.htm |archive-date=2 August 2012 |access-date=13 August 2012}}</ref>
==Newton's apple==
]
{{cquote|When Newton saw an apple fall, he found, in that slight startle from his contemplation, ‘tis said, a mode of proving that the earth turn’d round in a most natural whirl, called '']''; and this is the sole mortal who could grapple, since Adam, with a fall, or with an apple.<ref>] (1821), Canto 10, Verse I. In Jerome J. McGann (ed.), Lord Byron: The Complete Poetical Works (1986), Vol. 5, 437</ref>}}
A popular story claims that Newton was inspired to formulate his theory of universal gravitation by the fall of an apple from a tree. Cartoons have gone further to suggest the apple actually hit Newton's head, and that its impact somehow made him aware of the force of gravity. John Conduitt, Newton's assistant at the Royal Mint and husband of Newton's niece, described the event when he wrote about Newton's life:
<blockquote>
In the year 1666 he retired again from Cambridge to his mother in Lincolnshire. Whilst he was pensively meandering in a garden it came into his thought that the power of gravity (which brought an apple from a tree to the ground) was not limited to a certain distance from earth, but that this power must extend much further than was usually thought. Why not as high as the Moon said he to himself & if so, that must influence her motion & perhaps retain her in her orbit, whereupon he fell a calculating what would be the effect of that supposition.<ref>{{cite web |url= http://www.newtonproject.ic.ac.uk/texts/viewtext.php?id=THEM00167&mode=diplomatic |last=Conduitt|first=John |title=Keynes Ms. 130.4:Conduitt's account of Newton's life at Cambridge|work=Newtonproject| accessdate=2006-08-30}}</ref>
</blockquote>


In 1710, Newton found 72 of the 78 "species" of cubic curves and categorised them into four types.<ref>{{Cite journal |last1=Bloye |first1=Nicole |last2=Huggett |first2=Stephen |year=2011 |title=Newton, the geometer |url=https://stephenhuggett.com/Newton.pdf |url-status=dead |journal=Newsletter of the European Mathematical Society |issue=82 |pages=19–27 |mr=2896438 |archive-url=https://web.archive.org/web/20230308041757/http://stephenhuggett.com/Newton.pdf |archive-date=8 March 2023 |access-date=19 February 2023}}</ref> In 1717, and probably with Newton's help, ] proved that every cubic was one of these four types. Newton also claimed that the four types could be obtained by ] from one of them, and this was proved in 1731, four years after his death.<ref>''Conics and Cubics,'' Robert Bix. '']'', 2nd ed., 2006, Springer Verlag.</ref>
The question was not whether gravity existed, but whether it extended so far from Earth that it could also be the force holding the moon to its orbit. Newton showed that if the force decreased as the inverse square of the distance, one could indeed calculate the Moon's orbital period, and get good agreement. He guessed the same force was responsible for other orbital motions, and hence named it "universal gravitation".


=== Philosophy of Science ===
A contemporary writer, ], recorded in his ''Memoirs of Sir Isaac Newton's Life'' a conversation with Newton in Kensington on ] ], in which Newton recalled "when formerly, the notion of gravitation came into his mind. It was occasioned by the fall of an apple, as he sat in contemplative mood. Why should that apple always descend perpendicularly to the ground, thought he to himself. Why should it not go sideways or upwards, but constantly to the earth's centre." In similar terms, Voltaire wrote in his ''Essay on Epic Poetry'' (1727), "Sir Isaac Newton walking in his gardens, had the first thought of his system of gravitation, upon seeing an apple falling from a tree." These accounts are probably exaggerations of Newton's own tale about sitting by a window in his home (]) and watching an apple fall from a tree.


Starting with the second edition of his ''Principia'', Newton included a final section on science philosophy or method. It was here that he wrote his famous line, in Latin, "hypotheses non fingo", which can be translated as "I don't make hypotheses," (the direct translation of "fingo" is "frame", but in context he was advocating against the use of hypotheses in science). He went on to posit that if there is no data to explain a finding, one should simply wait for that data, rather than guessing at an explanation. The full quote, translated from that section is, "Hitherto I have not been able to discover the cause of those properties of gravity from phenomena, and I frame no hypotheses, for whatever is not deduced from the phenomena is to be called an hypothesis; and hypotheses, whether metaphysical or physical, whether of occult qualities or mechanical, have no place in experimental philosophy. In this philosophy particular propositions are inferred from the phenomena, and afterwards rendered general by induction. Thus it was that the impenetrability, the mobility, and the impulsive force of bodies, and the laws of motion and of gravitation, were discovered. And to us it is enough that gravity does really exist, and act according to the laws which we have explained, and abundantly serves to account for all the motions of the celestial bodies, and of our sea."<ref name="Newton 1850"/>
Various trees are claimed to be "the" apple tree which Newton describes. The King's School, Grantham, claims that the tree was purchased by the school, uprooted and transported to the headmaster's garden some years later, the staff of the ]-owned Woolsthorpe Manor dispute this, and claim that a tree present in their gardens is the one described by Newton. A descendant of the original tree can be seen growing outside the main gate of Trinity College, Cambridge, below the room Newton lived in when he studied there. The National Fruit Collection at Brogdale<ref>http://www.brogdale.org.uk/nfc_home.php</ref> can supply grafts from their tree (ref 1948-729), which appears identical to ], a coarse-fleshed cooking variety.


This idea that Newton became anti-hypothesis has been disputed, since earlier editions of the Principia were in fact divided in sections headed by hypotheses. However, he seems to have gone away from that, as evidenced from his famous line in his "Opticks", where he wrote, in English, "Hypotheses have no place in experimental science."<ref>{{Cite book |last=Newton |first=Sir Isaac |title=Opticks: Opticks by Sir Isaac Newton &#124; Groundbreaking Discoveries in Optics and Light |date=January 2021 |publisher=Prabhat Prakashan |url=https://books.google.com/books?id=4OiUDgAAQBAJ&q=Isaac+Newton,+Opticks}}|title=Newton's Opticks|date=1721</ref>
In ], an ] named after this theory premiered on ].


These ideas are in line with the scientific philosophy of ], who advocated for an inductive, or data-drivien, approach to science.
==Writings by Newton==
* '']'' (1671)
*''Of Natures Obvious Laws & Processes in Vegetation'' (1671–75) unpublished work on alchemy<ref> transcribed and online at ] retrieved ], ]</ref>
* '']'' (1684)
* '']'' (1687)
* '']'' (1704)
* '''' (1701-25)
* '']'' (1707)
* ''Short Chronicle'', ''The System of the World'', ''Optical Lectures'', ''The Chronology of Ancient Kingdoms, Amended'' and ''De mundi systemate'' were published posthumously in 1728.
* '']'' (1754)


==Fame== == Later life ==
{{further|Later life of Isaac Newton}}


=== Royal Mint ===
French mathematician ] often said that Newton was the greatest genius who ever lived, and once added that he was also "the most fortunate, for we cannot find more than once a system of the world to establish."<ref>{{cite web |last=Wilson |first=Fred L. |title=History of Science: Newton |work=Fred Wilson's Physics Web |url=http://www.rit.edu/~flwstv/newton.html |accessdate=2006-08-29}} citing: Delambre, M. "Notice sur la vie et les ouvrages de M. le comte J. L. Lagrange," ''Oeuvres de Lagrange'' I. Paris, 1867, p. xx.</ref> English poet ] was moved by Newton's accomplishments to write the famous ]:
]]]
{{cquote|Nature and nature's laws lay hid in night;<br />
In the 1690s, Newton wrote a number of ] dealing with the literal and symbolic interpretation of the Bible. A manuscript Newton sent to ] in which he disputed the fidelity of ]—the ]—and its fidelity to the original manuscripts of the New Testament, remained unpublished until 1785.<ref>{{Cite web |title=John Locke Manuscripts&nbsp;– Chronological Listing: 1690 |url=http://www.libraries.psu.edu/tas/locke/mss/c1690.html |url-status=live |archive-url=https://web.archive.org/web/20170709035722/https://www.libraries.psu.edu/tas/locke/mss/c1690.html |archive-date=9 July 2017 |access-date=20 January 2013 |website=psu.edu}}; and John C. Attig, {{Webarchive|url=https://web.archive.org/web/20121112070820/http://www.libraries.psu.edu/tas/locke/bib/ch5c.html#01160 |date=12 November 2012 }}</ref>
God said "Let Newton be" and all was light.}}


Newton was also a member of the ] for ] in 1689 and 1701, but according to some accounts his only comments were to complain about a cold draught in the chamber and request that the window be closed.{{sfn|White|1997|p=232}} He was, however, noted by Cambridge diarist ] to have rebuked students who were frightening locals by claiming that a house was haunted.<ref>{{Cite news |last=Sawer |first=Patrick |date=6 September 2016 |title=What students should avoid during fresher's week (100&nbsp;years ago and now) |work=The Daily Telegraph |url=https://www.telegraph.co.uk/news/2016/09/06/what-students-should-avoid-during-freshers-week-100-years-ago-an/ |url-status=live |url-access=subscription |access-date=7 September 2016 |archive-url=https://ghostarchive.org/archive/20220110/https://www.telegraph.co.uk/news/2016/09/06/what-students-should-avoid-during-freshers-week-100-years-ago-an/ |archive-date=10 January 2022}}{{cbignore}}</ref>
Newton himself was rather more modest of his own achievements, famously writing in a letter to ] in February ] <blockquote>"If I have seen further it is by standing on ye shoulders of giants"</blockquote> Historians generally think the above quote was an attack on Hooke (who was short and hunchbacked). The two were in a dispute over optical discoveries at the time. So this was an insult rather than (or in addition to) a statement of modesty. The latter interpretation also fits with many of his other disputes over his discoveries - such as the question of who discovered calculus as discussed above.


Newton moved to London to take up the post of warden of the ] during the reign of ] in 1696, a position that he had obtained through the patronage of ], then ]. He took charge of England's great recoining, trod on the toes of Lord Lucas, Governor of the Tower, and secured the job of deputy ] of the temporary Chester branch for Edmond Halley. Newton became perhaps the best-known ] upon the death of ] in 1699, a position he held for the last 30&nbsp;years of his life.<ref name="Mint">{{Cite episode |title=Isaac Newton: Physicist And&nbsp;... Crime Fighter? |url=https://www.npr.org/templates/story/story.php?storyId=105012144 |access-date=1 August 2014 |series=Science Friday |network=NPR |transcript=Transcript |transcript-url=https://www.npr.org/templates/transcript/transcript.php?storyId=105012144 |air-date=5 June 2009 |archive-date=1 November 2014 |archive-url=https://web.archive.org/web/20141101074330/http://www.npr.org/templates/story/story.php?storyId=105012144 |url-status=live}}</ref>{{sfn|Levenson |2010}} These appointments were intended as ]s, but Newton took them seriously. He retired from his Cambridge duties in 1701, and exercised his authority to reform the currency and punish ] and counterfeiters.
and then in a memoir later <blockquote>"I do not know what I may appear to the world, but to myself I seem to have been only like a boy playing on the sea-shore, and diverting myself in now and then finding a smoother pebble or a prettier shell than ordinary, whilst the great ocean of truth lay all undiscovered before me."<ref>Memoirs of the Life, Writings, and Discoveries of Sir Isaac Newton (1855) by Sir David Brewster (Volume II. Ch. 27)</ref>
</blockquote>


As Warden, and afterwards as Master, of the Royal Mint, Newton estimated that 20&nbsp;percent of the coins taken in during the ] were ]. Counterfeiting was ], punishable by the felon being ]. Despite this, convicting even the most flagrant criminals could be extremely difficult, but Newton proved equal to the task.{{sfn|White|1997|p=259}}
==See also==
*]
* ]
* ]
* "]"
* ]
* ]
* ]
* ]
* ]
* ]
* ]
* ]
* ]
* ]


Disguised as a ] of bars and taverns, he gathered much of that evidence himself.{{sfn|White|1997|p=267}} For all the barriers placed to prosecution, and separating the branches of government, ] still had ancient and formidable customs of authority. Newton had himself made a ] in all the ]. A draft letter regarding the matter is included in Newton's personal first edition of ''Philosophiæ Naturalis Principia Mathematica'', which he must have been amending at the time.<ref>{{Cite web |last=Newton |first=Isaac |title=Philosophiæ Naturalis Principia Mathematica |url=http://cudl.lib.cam.ac.uk/view/PR-ADV-B-00039-00001/ |url-status=live |archive-url=https://web.archive.org/web/20120108031556/http://cudl.lib.cam.ac.uk/view/PR-ADV-B-00039-00001/ |archive-date=8 January 2012 |access-date=10 January 2012 |publisher=Cambridge University Digital Library |pages=265–66}}</ref> Then he conducted more than 100&nbsp;cross-examinations of witnesses, informers, and suspects between June 1698 and Christmas 1699. He successfully prosecuted 28&nbsp;coiners, including serial counterfeiter ], who was subsequently hanged.{{sfn|Westfall|2007|p=73}}
==Footnotes and references==
{{reflist|2}}


] of the Newton family of ], Lincolnshire, afterwards used by Sir Isaac<ref>{{Cite book |last=Wagner |first=Anthony |url=https://archive.org/details/historicheraldry0000wagn/page/85 |title=Historic Heraldry of Britain |publisher=Phillimore |year=1972 |isbn=978-0-85033-022-9 |edition=2nd |location=London and Chichester |page= |author-link=Anthony Wagner}}; and {{cite book|title=Genealogical Memoranda Relating to the Family of Newton|place=London|publisher=Taylor and Co.|year=1871|url=https://archive.org/details/genealogicalmemo00inlond }}</ref>]]
==Resources==
===References===
* {{cite book | authorlink = Eric Temple Bell | last = Bell | first = E.T. | title = Men of Mathematics | location = New York | publisher = Simon and Schuster | year = 1937 | id = ISBN 0-671-46400-0 }}
* {{cite book | last = Christianson | first = Gale | title = In the Presence of the Creator: Isaac Newton & his times | location = New York | publisher = Free Press | year = 1984 | id = ISBN 0-02-905190-8 }} This well documented work provides, in particular, valuable information regarding Newton's knowledge of ]
* {{cite web | url = http://www.wamu.org/audio/dr/03/06/r2030613.ram | title = interview with James Gleick: "Isaac Newton" (Pantheon) | work = WAMU's The Diane Rehm Show Friday, ] 2003 (RealAudio stream) | accessmonthday=8 March | accessyear = 2005 }}
* {{cite web | url = http://www-history.mcs.st-andrews.ac.uk/Mathematicians/Newton.html | title = Sir Isaac Newton | work = School of Mathematics and Statistics, University of St. Andrews, Scotland | accessmonthday=8 March | accessyear = 2005 }}
* {{cite web | url = http://www.newtonproject.ic.ac.uk/ | title = The Newton Project | work = Imperial College London | accessmonthday=8 March | accessyear = 2005 }}
* {{cite book | authorlink = Richard S. Westfall | last = Westfall | first = Richard S. | title = Never at Rest | publisher = Cambridge University Press | year = 1980, 1998 | id = ISBN 0-521-27435-4 }}
* {{cite book | last = Craig | first=John | chapter = Isaac Newton and the Counterfeiters | title = Notes and Records of the Royal Society (18) | location= London | publisher=The Royal Society | year = 1963 }}
*"The Invisible Science." ''Magical Egypt''. Chance Gardner and John Anthony West. 2005.


Newton was made president of the ] in 1703 and an associate of the French ]. In his position at the Royal Society, Newton made an enemy of ], the ], by prematurely publishing Flamsteed's ''Historia Coelestis Britannica'', which Newton had used in his studies.{{sfn|White|1997|p=317}}
===Further reading===
*], ''Newton's Gift: How Sir Isaac Newton Unlocked the System of our World'', ISBN 0-684-84392-7 (hardback), also in paperback, Simon & Schuster, (2000).
* Christianson, Gale E. ''In the Presence of the Creator: Isaac Newton and His Times''. Collier MacMillan, (1984). 608 pages.
* Dampier, William C. & M. Dampier. ''Readings in the Literature of Science''. Harper & Row, New York, (1959).
*Gjertsen, Derek. ''The Newton Handbook'', Routledge & Kegan Paul, (1986).
* Gleick, James. ''Isaac Newton''. Knopf, (2003). hardcover, 288 pages, ISBN 0-375-42233-1.
* ], ed. ''On the Shoulders of Giants''. ISBN 0-7624-1348-4 Places selections from Newton's ''Principia'' in the context of selected writings by ], ], ] and ].
* ] '']''. Carol Publishing Group, (July 1992), paperback, 576 pages, ISBN 0-8065-1350-0.
* ]. ''Essays in Biography''. W W Norton & Co, 1963, paperback, ISBN 0-393-00189-X. Keynes had taken a close interest in Newton and owned many of Newton's private papers.
* Newton, Isaac. ''Papers and Letters in Natural Philosophy'', edited by ]. Harvard University Press, 1958,1978. ISBN 0-674-46853-8.
* Newton, Isaac (1642-1727). ''The Principia'': a new Translation, Guide by I. Bernard Cohen ISBN 0-520-08817-4 University of California (1999) ''Warning: common mistranslations exposed!''
* Shapley, Harlow, S. Rapport, and H. Wright. ''A Treasury of Science''; "Newtonia" pp. 147-9; "Discoveries" pp. 150-4. Harper & Bros., New York, (1946).
* Simmons, J. ''The giant book of scientists -- The 100 greatest minds of all time'', Sydney: The Book Company, (1996).
* ]. ''Newton, The man.'' G.D. Knox, London, 1931. Preface by ]. Reprinted by Johnson Reprint Corporation, New York (1972).
*Whiteside, D. T. ''The Mathematical Papers of Isaac Newton - 8 volumes'', Cambridge University Press, Cambridge, (1967-81).
*Isaac Newton, Sir; J Edleston; ], , London, John W. Parker, West Strand; Cambridge, John Deighton, 1850. – ]


=== Knighthood ===
==External links==
In April 1705, Queen Anne ] Newton during a royal visit to Trinity College, Cambridge. The knighthood is likely to have been motivated by political considerations connected with the ], rather than any recognition of Newton's scientific work or services as Master of the Mint.<ref>"The Queen's 'great Assistance' to Newton's election was his knighting, an honor bestowed not for his contributions to science, nor for his service at the Mint, but for the greater glory of party politics in the election of 1705." {{harvnb|Westfall|1994|p=245}}</ref> Newton was the second scientist to be knighted, after ].<ref>{{cite book |last=Barnham |first=Kay |url={{google books|2f5LAgAAQBAJ|plainurl=yes}} |title=Isaac Newton |publisher=Raintree |year=2014 |isbn=978-1-4109-6235-5 |page=26}}</ref>
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{{commons|Isaac Newton}}
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* By combining images, audio, animations and interactive segments, the application gives students a sense of Newton's multifaceted mind.
* {{gutenberg author|id=Isaac_Newton|name=Isaac Newton}}
* - A study by on how Newton approximated the solutions of a first-order ODE using infinite series.
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* {{dmoz|Science/Physics/History/People/Newton,_Isaac/|Isaac Newton}}
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* {{MacTutor Biography|id=Newton}}
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* Educational material
* Research on his Alchemical writings
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* Newton's Three Laws of Motion
* Newton's Universal Law of Gravitation
* The Newtonian Sythesis
* The "General Scholium" to Newton's Principia
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As a result of a report written by Newton on 21 September 1717 to the Lords Commissioners of His Majesty's Treasury, the bimetallic relationship between gold coins and silver coins was changed by royal proclamation on 22 December 1717, forbidding the exchange of gold guineas for more than 21&nbsp;silver shillings.<ref> {{Webarchive|url=https://web.archive.org/web/20170406191205/http://www.pierre-marteau.com/editions/1701-25-mint-reports/report-1717-09-25.html |date=6 April 2017 }}, Sir Isaac Newton, 21 September 1717; . ''Royal Numismatic Society''. '''V'''. April 1842&nbsp;– January 1843.</ref> This inadvertently resulted in a silver shortage as silver coins were used to pay for imports, while exports were paid for in gold, effectively moving Britain from the ] to its first ]. It is a matter of debate as to whether he intended to do this or not.<ref>{{Cite journal |last=Fay |first=C.&nbsp;R. |date=1 January 1935 |title=Newton and the Gold Standard |journal=Cambridge Historical Journal |volume=5 |issue=1 |pages=109–17 |doi=10.1017/S1474691300001256 |jstor=3020836}}</ref> It has been argued that Newton conceived of his work at the Mint as a continuation of his alchemical work.<ref>{{Cite news |date=12 September 2006 |title=Sir Isaac Newton's Unpublished Manuscripts Explain Connections He Made Between Alchemy and Economics |publisher=Georgia Tech Research News |url=http://gtresearchnews.gatech.edu/newsrelease/newton.htm |url-status=dead |access-date=30 July 2014 |archive-url=https://archive.today/20130217100410/http://gtresearchnews.gatech.edu/newsrelease/newton.htm |archive-date=17 February 2013}}</ref>
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Newton was invested in the ] and lost some £20,000 (£4.4&nbsp;million in 2020<ref>Eric W. Nye, {{Webarchive|url=https://web.archive.org/web/20210815124946/https://www.uwyo.edu/numimage/Currency.htm |date=15 August 2021 }}. Retrieved: 5 October 2020</ref>) when it collapsed in around 1720.<ref>{{Cite web |last=Holodny |first=Elena |date=21 January 2016 |title=Isaac Newton was a genius, but even he lost millions in the stock market |url=https://www.businessinsider.com/isaac-newton-lost-a-fortune-on-englands-hottest-stock-2016-1 |url-status=live |archive-url=https://web.archive.org/web/20160325191327/http://www.businessinsider.com.au/isaac-newton-lost-a-fortune-on-englands-hottest-stock-2016-1 |archive-date=25 March 2016 |access-date=21 December 2019 |website=Business Insider}}</ref>
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Toward the end of his life, Newton took up residence at ], near ], with his niece and her husband, until his death.<ref name="Yonge6">{{Cite web |last=Yonge |first=Charlotte&nbsp;M. |author-link=Charlotte M. Yonge |year=1898 |title=Cranbury and Brambridge |url=http://www.online-literature.com/charlotte-yonge/john-keble/6/ |url-status=live |archive-url=https://web.archive.org/web/20081208223436/http://www.online-literature.com/charlotte-yonge/john-keble/6/ |archive-date=8 December 2008 |access-date=23 September 2009 |website=]'s Parishes&nbsp;– Chapter 6 |publisher=online-literature.com}}</ref> His half-niece, ],{{sfn|Westfall|1980|p=44}} served as his hostess in social affairs at his house on ] in London; he was her "very loving Uncle",{{sfn|Westfall|1980|p=595}} according to his letter to her when she was recovering from ].
{{Persondata

|NAME=Newton, Isaac
=== Death ===
|ALTERNATIVE NAMES=Newton, Sir Isaac
]
|SHORT DESCRIPTION=English mathematician, physicist, and astronomer
Newton died in his sleep in London on 20 March 1727 (] 20 March 1726; ] 31 March 1727).{{efn|name=OSNS}} He was given a ceremonial funeral, attended by nobles, scientists, and philosophers, and was buried in ] among kings and queens. He was the first scientist to be buried in the abbey.<ref>{{London Gazette |issue=6569 |date=1 April 1727 |page=7 }}</ref> ] may have been present at his funeral.<ref>Dobre and Nyden suggest that there is no clear evidence that Voltaire was present; see p. 89 of {{Cite book |last1=Dobre |first1=Mihnea |title=Cartesian Empiricism |last2=Nyden |first2=Tammy |publisher=Springer |year=2013 |isbn=978-94-007-7690-6}}</ref> A bachelor, he had divested much of his estate to relatives during his last years, and died ].<ref name="Newton, Isaac (1642–1727)" /> His papers went to ] and ].<ref name="Mann">{{Cite magazine |last=Mann |first=Adam |date=14 May 2014 |title=The Strange, Secret History of Isaac Newton's Papers |url=https://www.wired.com/2014/05/newton-papers-q-and-a/ |url-access=limited |url-status=live |archive-url=https://web.archive.org/web/20170911221912/https://www.wired.com/2014/05/newton-papers-q-and-a/ |archive-date=11 September 2017 |access-date=25 April 2016 |magazine=Wired}}</ref>
|DATE OF BIRTH=] ]

|PLACE OF BIRTH=], ], ]
Shortly after his death, a plaster ] was moulded of Newton. It was used by ] sculptor ] in making a sculpture of Newton.<ref>{{Cite web |title=Newton's Death Mask |url=https://huntington.org/verso/newtons-death-mask |access-date=7 August 2023 |website=The Huntington |date=2 August 2011 |first1=John |last1=Vining |archive-date=7 August 2023 |archive-url=https://web.archive.org/web/20230807122527/https://huntington.org/verso/newtons-death-mask |url-status=live }}</ref> It is now held by the ],<ref>{{Cite web |title=Death mask of Isaac Newton |url=https://pictures.royalsociety.org/image-rs-8492 |access-date=7 August 2023 |website=Royal Society Picture Library |archive-date=7 August 2023 |archive-url=https://web.archive.org/web/20230807122526/https://pictures.royalsociety.org/image-rs-8492 |url-status=live }}</ref> who created a 3D scan of it in 2012.<ref>{{Cite web |title=Newton's death mask scanned in 3D |date=1 October 2012 |url=https://royalsociety.org/news/2012/newton-death-mask-3D/ |access-date=7 August 2023 |website=Royal Society |archive-date=9 June 2023 |archive-url=https://web.archive.org/web/20230609204741/https://royalsociety.org/news/2012/newton-death-mask-3D/ |url-status=live }}</ref>
|DATE OF DEATH=] ]

|PLACE OF DEATH=], ], ]
Newton's hair was posthumously examined and found to contain ], probably resulting from his alchemical pursuits. ] could explain Newton's eccentricity in late life.<ref name="Newton, Isaac (1642–1727)" />

== Personality ==
Although it was claimed that he was once engaged,{{efn|name=claim|This claim was made by ] in 1727, in a letter about Newton written to ]. ], who in the late eighteenth century collected oral traditions about earlier scientists, declared that there "do not appear to be any sufficient reason for his never marrying, if he had an inclination so to do. It is much more likely that he had a constitutional indifference to the state, and even to the sex in general."<ref>Hutton, Charles (1795/6). ''A Mathematical and Philosophical Dictionary''. vol. 2. p. 100.</ref>}} Newton never married. The French writer and philosopher ], who was in London at the time of Newton's funeral, said that he "was never sensible to any passion, was not subject to the common frailties of mankind, nor had any commerce with women—a circumstance which was assured me by the physician and surgeon who attended him in his last moments.”<ref>{{Cite book |last=Voltaire |title=Letters on England |date=1894 |publisher=Cassell |page=100 |chapter=14 |chapter-url=https://archive.org/stream/lettersonenglan00voltgoog#page/n102}}</ref> There exists a widespread belief that Newton died a ], and writers as diverse as mathematician ],<ref>{{Cite book |last=Hutton |first=Charles |url=https://books.google.com/books?id=_xk2AAAAQAAJ&pg=PAPA100 |title=A Philosophical and Mathematical Dictionary Containing&nbsp;... Memoirs of the Lives and Writings of the Most Eminent Authors, Volume 2 |date=1815 |page=100 |author-link=Charles Hutton |access-date=1 December 2018 |archive-date=26 February 2024 |archive-url=https://web.archive.org/web/20240226144934/https://books.google.com/books?id=_xk2AAAAQAAJ&pg=PAPA100#v=onepage&q&f=false |url-status=live }}</ref> economist ],<ref>{{Cite web |last=Keynes |first=John Maynard |title=Newton: the Man |url=http://www-history.mcs.st-and.ac.uk/Extras/Keynes_Newton.html |url-status=live |archive-url=https://web.archive.org/web/20190617095839/http://www-history.mcs.st-and.ac.uk/Extras/Keynes_Newton.html |archive-date=17 June 2019 |access-date=11 September 2012 |publisher=] School of Mathematics and Statistics}}</ref> and physicist ] have commented on it.<ref>{{Cite book |last=Sagan |first=Carl |url={{Google books|Cl06FjKX6doC|page=|keywords=|text=|plainurl=yes}} |title=Cosmos |date=1980 |publisher=Random House |isbn=978-0-394-50294-6 |location=New York |page=68 |author-link=Carl Sagan}}</ref>

Newton had a close friendship with the Swiss mathematician ], whom he met in London around 1689;<ref name="Hatch" /> some of their correspondence has survived.<ref>{{Cite web |title=Duillier, Nicholas Fatio de (1664–1753) mathematician and natural philosopher |url=http://janus.lib.cam.ac.uk/db/node.xsp?id=CV%2FPers%2FDuillier%2C%20Nicholas%20Fatio%20de%20%281664-1753%29%20mathematician%20and%20natural%20philosopher |url-status=live |archive-url=https://web.archive.org/web/20130701114749/http://janus.lib.cam.ac.uk/db/node.xsp?id=CV%2FPers%2FDuillier%2C%20Nicholas%20Fatio%20de%20%281664-1753%29%20mathematician%20and%20natural%20philosopher |archive-date=1 July 2013 |access-date=22 March 2013 |publisher=Janus database}}</ref><ref>{{Cite web |title=Collection Guide: Fatio de Duillier, Nicolas |url=http://www.oac.cdlib.org/search?style=oac4;Institution=UCLA::Clark%20%28William%20Andrews%29%20Memorial%20Library;idT=4859632 |url-status=live |archive-url=https://web.archive.org/web/20130531055908/http://www.oac.cdlib.org/search?style=oac4;Institution=UCLA::Clark%20%28William%20Andrews%29%20Memorial%20Library;idT=4859632 |archive-date=31 May 2013 |access-date=22 March 2013 |publisher=Online Archive of California}}</ref> Their relationship came to an abrupt and unexplained end in 1693, and at the same time Newton suffered a ],<ref>{{harvnb|Westfall| 1980|pp= 493–497}} on the friendship with Fatio, pp. 531–540 on Newton's breakdown.</ref> which included sending wild accusatory letters to his friends ] and ]. His note to the latter included the charge that Locke had endeavoured to "embroil" him with "woemen & by other means".{{sfn|Manuel|1968|p=219}}

Newton appeared to be relatively modest about his achievements, writing in a later memoir, "I do not know what I may appear to the world, but to myself I seem to have been only like a boy playing on the sea-shore, and diverting myself in now and then finding a smoother pebble or a prettier shell than ordinary, whilst the great ocean of truth lay all undiscovered before me."<ref>''Memoirs of the Life, Writings, and Discoveries of Sir Isaac Newton'' (1855) by Sir David Brewster (Volume II. Ch. 27)</ref> Nonetheless, he could be fiercely competitive and did on occasion hold grudges against his intellectual rivals, not abstaining from personal attacks when it suited him—a common trait found in many of his contemporaries.<ref>{{Cite book |last=Rowlands |first=Peter |url=https://books.google.com/books?id=CRM0DwAAQBAJ&dq=Newton+personality&pg=PA50 |title=Newton And Modern Physics |publisher=World Scientific |year=2017 |isbn=978-1-78634-332-1 |pages=54–55 }}</ref><ref>{{Cite book |last=Huys |first=Nicky |url=https://books.google.com/books?id=qKHtEAAAQBAJ&dq=Newton+personality&pg=PT92 |title=The Quiet Titan: The Life Of Isaac Newton |publisher= |year=2024 |page=37 }}</ref> In a letter to ] in February 1676, for instance, he confessed "If I have seen further it is by ]."<ref>Letter from Isaac Newton to Robert Hooke, 5 February 1676, as transcribed in {{Cite book |last=Maury |first=Jean-Pierre |url=https://books.google.com/books?id=8N5tQgAACAAJ |title=Newton: Understanding the Cosmos |publisher=Thames & Hudson |year=1992 |isbn=978-0-500-30023-7 |series="]" series |location=London |translator-last=Paris |translator-first=I.&nbsp;Mark |access-date=18 October 2020 |archive-url=https://web.archive.org/web/20201221174716/https://books.google.com/books?id=8N5tQgAACAAJ |archive-date=21 December 2020 |url-status=live |orig-year=1990}}</ref> Some historians argued that this, written at a time when Newton and Hooke were disputing over optical discoveries, was an oblique attack on Hooke who was presumably short and hunchbacked, rather than (or in addition to) a statement of modesty.<ref>John Gribbin (2002) ''Science: A History 1543–2001'', p. 164.</ref> On the other hand, the widely known proverb about standing on the shoulders of giants, found in 17th century poet ]'s {{lang|la|Jacula Prudentum}} (1651) among others, had as its main point that "a dwarf on a giant's shoulders sees farther of the two", and so in effect place Newton himself rather than Hooke as the 'dwarf' who saw farther.{{sfn|White|1997|p=187}}
== Theology ==
=== Religious views ===
{{Main|Religious views of Isaac Newton|Isaac Newton's occult studies}}
Although born into an ] family, by his thirties Newton held a Christian faith that, had it been made public, would not have been considered orthodox by mainstream Christianity,<ref name="Newton – 1">]&nbsp;– ] {{Cite book |url=http://galileo.rice.edu/Catalog/NewFiles/newton.html |title=The Galileo Project |publisher=(]) |access-date=5 July 2008 |archive-url=https://web.archive.org/web/20200929133323/http://galileo.rice.edu/Catalog/NewFiles/newton.html |archive-date=29 September 2020 |url-status=live}}</ref> with historian ] labelling him a ].<ref name="heretic">{{Cite journal |last=Snobelen |first=Stephen&nbsp;D. |date=December 1999 |title=Isaac Newton, heretic: the strategies of a Nicodemite |journal=The British Journal for the History of Science |volume=32 |issue=4 |pages=381–419 |doi=10.1017/S0007087499003751 |jstor=4027945 |s2cid=145208136}}</ref>

By 1672, he had started to record his theological researches in notebooks which he showed to no one and which have only been available for public examination since 1972.{{sfn|Katz|1992|p=63}} Over half of what Newton wrote concerned theology and alchemy, and most has never been printed.{{sfn|Katz|1992|p=63}} His writings demonstrate an extensive knowledge of ] writings and show that in the conflict between ] and ] which defined the ], he took the side of Arius, the loser, who rejected the conventional view of the ]. Newton "recognized Christ as a divine mediator between God and man, who was subordinate to the Father who created him."{{sfn|Westfall|1980|p=315}} He was especially interested in prophecy, but for him, "the ] was trinitarianism."{{sfn|Westfall|1980|p=321}}

Newton tried unsuccessfully to obtain one of the two fellowships that exempted the holder from the ordination requirement. At the last moment in 1675 he received a dispensation from the government that excused him and all future holders of the Lucasian chair.{{sfn|Westfall|1980|pp=331–34}}

Worshipping ] as ] was, in Newton's eyes, ], an act he believed to be the fundamental ].{{sfn|Westfall|1994|p=124}} In 1999, Snobelen wrote, "Isaac Newton was a ]. But&nbsp;... he never made a public declaration of his private faith—which the orthodox would have deemed extremely radical. He hid his faith so well that scholars are still unraveling his personal beliefs."<ref name="heretic" /> Snobelen concludes that Newton was at least a ] sympathiser (he owned and had thoroughly read at least eight Socinian books), possibly an ] and almost certainly an ].<ref name="heretic" />

]'' (1795, detail) by ]. Newton is depicted critically as a "divine geometer".<ref>{{Cite web |date=25 September 2013 |title=Newton, object 1 (Butlin 306) "Newton" |url=http://www.blakearchive.org/exist/blake/archive/copyinfo.xq?copyid=but306.1 |url-status=dead |archive-url=https://web.archive.org/web/20130927214741/http://www.blakearchive.org/exist/blake/archive/copyinfo.xq?copyid=but306.1 |archive-date=27 September 2013 |access-date=25 September 2013 |publisher=]}}</ref>]]

Although the laws of motion and universal gravitation became Newton's best-known discoveries, he warned against using them to view the Universe as a mere machine, as if akin to a great clock. He said, "So then gravity may put the planets into motion, but without the Divine Power it could never put them into such a circulating motion, as they have about the sun".<ref>{{Cite book |last=Newton |first=Isaac |url=https://books.google.com/books?id=Dz2FzJqaJMUC&q=%22gravity%20may%20put%20the%20planets%20into%20motion%22&pg=PA436 |title=Isaaci Newtoni Opera quae exstant omnia |date=1782 |publisher=Joannes Nichols |location=London |pages=436–37 |access-date=18 October 2020 |archive-url=https://web.archive.org/web/20210414055022/https://books.google.com/books?id=Dz2FzJqaJMUC&q=%22gravity%20may%20put%20the%20planets%20into%20motion%22&pg=PA436 |archive-date=14 April 2021 |url-status=live}}</ref>

Along with his scientific fame, Newton's studies of the Bible and of the early ] were also noteworthy. Newton wrote works on ], most notably '']'' and '']''.<ref> {{Webarchive|url=https://web.archive.org/web/20170120113904/http://www.gutenberg.org/ebooks/16878 |date=20 January 2017 }} 1733</ref> He placed the crucifixion of ] at 3 April, AD 33, which agrees with one traditionally accepted date.<ref>John P. Meier, '']'', v. 1, pp. 382–402. after narrowing the years to 30 or 33, provisionally judges 30 most likely.</ref>

He believed in a rationally ] world, but he rejected the ] implicit in ] and ]. The ordered and dynamically informed Universe could be understood, and must be understood, by an active reason. In his correspondence, Newton claimed that in writing the ''Principia'' "I had an eye upon such Principles as might work with considering men for the belief of a Deity".<ref>Newton to ] 10 December 1692, in Turnbull et al. (1959–77), vol 3, p. 233.</ref> He saw evidence of design in the system of the world: "Such a wonderful uniformity in the planetary system must be allowed the effect of choice". But Newton insisted that divine intervention would eventually be required to reform the system, due to the slow growth of instabilities.<ref>Opticks, 2nd Ed 1706. Query 31.</ref> For this, Leibniz lampooned him: "God Almighty wants to wind up his watch from time to time: otherwise it would cease to move. He had not, it seems, sufficient foresight to make it a perpetual motion."<ref>H.G. Alexander (ed) ''The Leibniz-Clarke correspondence'', ], 1998, p. 11.</ref>

Newton's position was vigorously defended by his follower ] in a ]. A century later, ]'s work ] had a natural explanation for why the planet orbits do not require periodic divine intervention.<ref>{{Cite journal |last=Tyson |first=Neil Degrasse |author-link=Neil deGrasse Tyson |date=1 November 2005 |title=The Perimeter of Ignorance |url=http://www.haydenplanetarium.org/tyson/read/2005/11/01/the-perimeter-of-ignorance |url-status=dead |journal=Natural History Magazine |archive-url=https://web.archive.org/web/20180906154623/http://www.haydenplanetarium.org/tyson/read/2005/11/01/the-perimeter-of-ignorance |archive-date=6 September 2018 |access-date=7 January 2016}}</ref> The contrast between Laplace's mechanistic worldview and Newton's one is the most strident considering the famous answer which the French scientist gave ], who had criticised him for the absence of the Creator in the ''Mécanique céleste'': "Sire, j'ai pu me passer de cette hypothèse" ("Sir, I didn't need this hypothesis").<ref>Dijksterhuis, E. J. ''The Mechanization of the World Picture'', IV 329–330, Oxford University Press, 1961. The author's final comment on this episode is:"The mechanization of the world picture led with irresistible coherence to the conception of God as a sort of 'retired engineer', and from here to God's complete elimination it took just one more step".</ref>

Scholars long debated whether Newton disputed the doctrine of the ]. His first biographer, ], who compiled his manuscripts, interpreted Newton as questioning the veracity of some passages used to support the Trinity, but never denying the doctrine of the Trinity as such.<ref>Brewster states that Newton was never known as an ] during his lifetime, it was ], an Arian, who first argued that "Sir Isaac Newton was so hearty for the Baptists, as well as for the Eusebians or Arians, that he sometimes suspected these two were the two witnesses in the Revelations," while others like ] (a Mint employee and Humanitarian), "mentioned to ], that Newton held the same doctrine as himself". David Brewster. ''Memoirs of the Life, Writings, and Discoveries of Sir Isaac Newton''. p. 268.</ref> In the twentieth century, encrypted manuscripts written by Newton and bought by ] (among others) were deciphered<ref name="The Collected Writings of John Maynard Keynes Volume X" /> and it became known that Newton did indeed reject Trinitarianism.<ref name="heretic" />

=== Religious thought ===

Newton and ]'s approach to the ] was promoted by ] pamphleteers as a viable alternative to the ] and ], and was accepted hesitantly by orthodox preachers as well as dissident preachers like the ]s.<ref name="The Newtonians and the English Revolution: 1689–1720" /> The clarity and simplicity of science was seen as a way to combat the emotional and ] superlatives of both ] enthusiasm and the threat of ],<ref name="Science and Religion in Seventeenth-Century England" /> and at the same time, the second wave of English ] used Newton's discoveries to demonstrate the possibility of a "Natural Religion".

The attacks made against pre-] "]", and the ], were given their foundation with Boyle's mechanical conception of the universe. Newton gave Boyle's ideas their completion through ]s and, perhaps more importantly, was very successful in popularising them.<ref name="Enlightenment and Religion: Rational Dissent in eighteenth-century Britain" />

== Alchemy ==
{{Quote box
| quote = Newton was not the first of the age of reason. He was the last of the magicians, the last of the Babylonians and Sumerians, the last great mind which looked out on the visible and intellectual world with the same eyes as those who began to build our intellectual inheritance rather less than 10,000 years ago. Isaac Newton, a posthumous child born with no father on Christmas Day, 1642, was the last wonderchild to whom the Magi could do sincere and appropriate homage.
| source = –], "Newton, the Man"<ref>{{Cite web |title=John Maynard Keynes: Newton, the Man |url=https://mathshistory.st-andrews.ac.uk/Extras/Keynes_Newton/ |access-date=6 May 2023 |website=Maths History |archive-date=17 June 2019 |archive-url=https://web.archive.org/web/20190617095839/http://www-history.mcs.st-and.ac.uk/Extras/Keynes_Newton.html |url-status=live }}</ref>
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Of an estimated ten million words of writing in Newton's papers, about one million deal with ]. Many of Newton's writings on alchemy are copies of other manuscripts, with his own annotations.<ref name="Mann" /> Alchemical texts mix artisanal knowledge with philosophical speculation, often hidden behind layers of wordplay, allegory, and imagery to protect craft secrets.<ref name="Meyer">{{Cite journal |last=Meyer |first=Michal |year=2014 |title=Gold, secrecy and prestige |url=https://www.sciencehistory.org/distillations/magazine/gold-secrecy-and-prestige |url-status=live |journal=Chemical Heritage Magazine |volume=32 |issue=1 |pages=42–43 |archive-url=https://web.archive.org/web/20180320230826/https://www.sciencehistory.org/distillations/magazine/gold-secrecy-and-prestige |archive-date=20 March 2018 |access-date=20 March 2018}}</ref> Some of the content contained in Newton's papers could have been considered heretical by the church.<ref name="Mann" />
{{Enlightenment}}


In 1888, after spending sixteen years cataloguing Newton's papers, Cambridge University kept a small number and returned the rest to the Earl of Portsmouth. In 1936, a descendant offered the papers for sale at Sotheby's.<ref name="Kean" /> The collection was broken up and sold for a total of about £9,000.<ref name="Greshko">{{Cite journal |last=Greshko |first=Michael |date=4 April 2016 |title=Isaac Newton's Lost Alchemy Recipe Rediscovered |url=http://news.nationalgeographic.com/2016/04/160404-isaac-newton-alchemy-mercury-recipe-chemistry-science/ |url-status=dead |journal=National Geographic |archive-url=https://web.archive.org/web/20160426031049/http://news.nationalgeographic.com/2016/04/160404-isaac-newton-alchemy-mercury-recipe-chemistry-science/ |archive-date=26 April 2016 |access-date=25 April 2016}}</ref> ] was one of about three dozen bidders who obtained part of the collection at auction. Keynes went on to reassemble an estimated half of Newton's collection of papers on alchemy before donating his collection to Cambridge University in 1946.<ref name="Kean">{{Cite journal |last=Kean |first=Sam |year=2011 |title=Newton, The Last Magician |url=http://www.neh.gov/humanities/2011/januaryfebruary/feature/newton-the-last-magician |url-status=live |journal=Humanities |volume=32 |issue=1 |archive-url=https://web.archive.org/web/20160413235352/http://www.neh.gov/humanities/2011/januaryfebruary/feature/newton-the-last-magician |archive-date=13 April 2016 |access-date=25 April 2016}}</ref><ref name="Dry">{{Cite book |last=Dry |first=Sarah |title=The Newton Papers: The Strange and True Odyssey of Isaac Newton's Manuscripts |date=2014 |publisher=Oxford University Press |isbn=978-0-19-995104-8 |location=Oxford}}</ref>
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All of Newton's known writings on alchemy are currently being put online in a project undertaken by ]: "The Chymistry of Isaac Newton"<ref name="Indiana">{{Cite web |title=The Chymistry of Isaac Newton |url=https://webapp1.dlib.indiana.edu/newton/ |url-status=live |archive-url=https://web.archive.org/web/20160426013127/http://webapp1.dlib.indiana.edu/newton/ |archive-date=26 April 2016 |access-date=25 April 2016 |website=Indiana University, Bloomington}}</ref> and summarised in a book.<ref>{{Cite news |last=Levitin |first=Dimitri |date=March 2019 |title=Going for Gold |work=] |url=https://literaryreview.co.uk/going-for-gold-2 |url-status=live |access-date=6 March 2019 |archive-url=https://web.archive.org/web/20190307113828/https://literaryreview.co.uk/going-for-gold-2 |archive-date=7 March 2019}}</ref><ref>{{Cite book |last=Newman |first=William&nbsp;R. |url=https://press.princeton.edu/titles/13261.html |title=Newton the Alchemist Science, Enigma, and the Quest for Nature's "Secret Fire" |date=2018 |publisher=Princeton University Press |isbn=978-0-691-17487-7 |access-date=6 March 2019 |archive-url=https://web.archive.org/web/20190402130607/https://press.princeton.edu/titles/13261.html |archive-date=2 April 2019 |url-status=live}}</ref>
]

]
{{blockquote|Newton's fundamental contributions to science include the quantification of gravitational attraction, the discovery that white light is actually a mixture of immutable spectral colors, and the formulation of the calculus. Yet there is another, more mysterious side to Newton that is imperfectly known, a realm of activity that spanned some thirty years of his life, although he kept it largely hidden from his contemporaries and colleagues. We refer to Newton's involvement in the discipline of alchemy, or as it was often called in seventeenth-century England, "chymistry."<ref name="Indiana" />}}
]

]
In June 2020, two unpublished pages of Newton's notes on ]'s book on plague, ''De Peste'',<ref>Van Helmont, Iohannis Baptistae, ''Opuscula Medica Inaudita: IV. De Peste'', Editor Hieronymo Christian Paullo (Frankfurt am Main) Publisher Sumptibus Hieronimi Christiani Pauli, typis Matthiæ Andreæ, 1707.</ref> were being auctioned online by ]. Newton's analysis of this book, which he made in Cambridge while protecting himself from London's 1665–1666 ], is the most substantial written statement he is known to have made about the plague, according to Bonhams. As far as the therapy is concerned, Newton writes that "the best is a toad suspended by the legs in a chimney for three days, which at last vomited up earth with various insects in it, on to a dish of yellow wax, and shortly after died. Combining powdered toad with the excretions and serum made into lozenges and worn about the affected area drove away the contagion and drew out the poison".<ref>{{Cite news |last=Flood |first=Alison |date=2 June 2020 |title=Isaac Newton proposed curing plague with toad vomit, unseen papers show |work=The Guardian |url=https://www.theguardian.com/books/2020/jun/02/isaac-newton-plague-cure-toad-vomit |url-status=live |access-date=6 June 2020 |archive-url=https://web.archive.org/web/20200606192933/https://www.theguardian.com/books/2020/jun/02/isaac-newton-plague-cure-toad-vomit |archive-date=6 June 2020}}</ref>
]

]
== Legacy ==
]
{{See also|Isaac Newton in popular culture}}

=== Recognition ===
] by ]]]

The mathematician and astronomer ] frequently asserted that Newton was the greatest ] who ever lived,<ref>{{Cite book |last=Andrade |first=Edward |author-link=Edward Andrade |chapter-url=https://books.google.com/books?id=UQqLHyd8K0IC&pg=PA275 |title=The World of Mathematics: Volume 1 |publisher=] |year=2000 |isbn=9780486411538 |editor-last=Newman |editor-first=James R. |editor-link=James R. Newman |edition=Reprint |page=275 |chapter=Isaac Newton}}</ref> and once added that Newton was also "the most fortunate, for we cannot find more than once a system of the world to establish."<ref>Fred L. Wilson, ''History of Science: Newton'' citing: Delambre, M. "Notice sur la vie et les ouvrages de M. le comte J.L. Lagrange", ''Oeuvres de Lagrange'' I. Paris, 1867, p. xx.</ref> English poet ] wrote the famous ]:

{{blockquote|Nature, and Nature's laws lay hid in night.<br />
God said, ''Let Newton be!'' and all was light.}}

But this was not allowed to be inscribed in Newton's monument at Westminster. The epitaph added is as follows:<ref name="westminster_newton">{{Cite news |last=Westminster Abbey |title=Sir Isaac Newton Scientist, Mathematician and Astronomer |url=https://www.westminster-abbey.org/ko/abbey-commemorations/commemorations/sir-isaac-newton |url-status=live |archive-url=https://web.archive.org/web/20220809191135/https://www.westminster-abbey.org/ko/abbey-commemorations/commemorations/sir-isaac-newton |archive-date=9 August 2022 |access-date=19 January 2022 |newspaper=Westminster Abbey}}</ref>

{{blockquote|{{lang|la|H. S. E. ISAACUS NEWTON Eques Auratus, / Qui, animi vi prope divinâ, / Planetarum Motus, Figuras, / Cometarum semitas, Oceanique Aestus. Suâ Mathesi facem praeferente / Primus demonstravit: / Radiorum Lucis dissimilitudines, / Colorumque inde nascentium proprietates, / Quas nemo antea vel suspicatus erat, pervestigavit. / Naturae, Antiquitatis, S. Scripturae, / Sedulus, sagax, fidus Interpres / Dei O. M. Majestatem Philosophiâ asseruit, / Evangelij Simplicitatem Moribus expressit. / Sibi gratulentur Mortales, / Tale tantumque exstitisse / HUMANI GENERIS DECUS. / NAT. XXV DEC. A.D. MDCXLII. OBIIT. XX. MAR. MDCCXXVI,}}}}

which can be translated as follows:<ref name="westminster_newton" />

{{blockquote|Here is buried Isaac Newton, Knight, who by a strength of mind almost divine, and mathematical principles peculiarly his own, explored the course and figures of the planets, the paths of comets, the tides of the sea, the dissimilarities in rays of light, and, what no other scholar has previously imagined, the properties of the colours thus produced. Diligent, sagacious and faithful, in his expositions of nature, antiquity and the holy Scriptures, he vindicated by his philosophy the majesty of God mighty and good, and expressed the simplicity of the Gospel in his manners. Mortals rejoice that there has existed such and so great an ornament of the human race! He was born on 25th December 1642, and died on 20th March 1726.}}

Newton has been called "the most influential figure in the history of Western science",<ref>{{Cite book |last=Simmons |first=John G. |url=https://archive.org/details/scientific100ran0000simm/page/3 |title=The Scientific 100: A Ranking of the Most Influential Scientists, Past and Present |publisher=Citadel Press |year=1996 |isbn=978-0-8065-1749-0 |location=Secaucus, New Jersey |page=3}}</ref> and has been regarded as "the central figure in the history of science", who "more than anyone else is the source of our great confidence in the power of science."<ref name=":7">{{Cite book |last=Rowlands |first=Peter |url=https://books.google.com/books?id=CRM0DwAAQBAJ&pg=PA20 |title=Newton and Modern Physics |publisher=] |year=2017 |isbn=978-1-78634-332-1 |location= |page=20}}</ref> '']'' called Newton "the supreme genius and most enigmatic character in the history of science".<ref name=":0">{{Cite web |title=Isaac Newton |url=https://www.newscientist.com/people/isaac-newton/ |url-status=live |archive-url=https://web.archive.org/web/20230928162212/https://www.newscientist.com/people/isaac-newton/ |archive-date=28 September 2023 |access-date=28 September 2023 |website=New Scientist}}</ref> The philosopher and historian ] also declared that Newton was "the greatest and rarest genius that ever arose for the ornament and instruction of the species".<ref>{{Cite book |last=Schmidt |first=Claudia M. |url=https://books.google.com/books?id=ZSXlNY6xIMoC&pg=PA101 |title=David Hume: Reason in History |date=2003 |publisher=Pennsylvania State Univ. Press |isbn=978-0-271-02264-2 |location=University Park, Pa |pages=101–102}}</ref> In his home of ], ], a ] and ], kept portraits of ], ], and Newton, whom he described as "the three greatest men that have ever lived, without any exception", and who he credited with laying "the foundation of those superstructures which have been raised in the Physical and Moral sciences".<ref>{{Cite book |last=Hayes |first=Kevin J. |url=https://books.google.com/books?id=9eDQCwAAQBAJ&pg=PA370 |title=The Road to Monticello: The Life and Mind of Thomas Jefferson |date=2012 |publisher=] |others=Thomas Jefferson |isbn=978-0-19-989583-0 |edition= |location= |pages=370 |language=en}}</ref>

Newton has further been called "the towering figure of the ]" and that "In a period rich with outstanding thinkers, Newton was simply the most outstanding." The polymath ] labeled Newton's birth as the "] of the modern age".<ref name=":9" /> In the Italian polymath ]'s estimation, Newton was the greatest human being who ever lived.<ref>{{Cite book |last1=Turner |first1=Jonathan H. |url=https://archive.org/details/emergenceofsocio0000turn_f1q7/page/366 |title=The Emergence of Sociological Theory |last2=Beeghley |first2=Leonard |last3=Powers |first3=Charles H. |date=1989 |publisher=Dorsey Press |isbn=978-0-256-06208-3 |edition=2nd |series= |location= |pages=366 |language=en}}</ref> On the bicentennial of Newton's death in 1927, astronomer ] stated that he "was certainly the greatest man of science, and perhaps the greatest intellect, the human race has seen".<ref>{{Cite journal |last=Jeans |first=J. H. |date=1927-03-26 |title=Isaac Newton |url=https://www.nature.com/doifinder/10.1038/119028a0x |journal=Nature |volume=119 |issue=2995supp |pages=28–30 |doi=10.1038/119028a0x |issn=0028-0836}}</ref> Newton ultimately conceived four revolutions—in optics, mathematics, mechanics, and gravity—but also foresaw a fifth in electricity, though he lacked the time and energy in old age to fully accomplish it.<ref name=":10">{{Cite news |last=Morrow |first=Lance |author-link=Lance Morrow |date=1999-12-31 |title=17th Century: Isaac Newton (1642-1727) |url=https://time.com/archive/6737426/17th-century-isaac-newton-1642-1727/ |access-date=2024-12-19 |work=]}}</ref><ref>{{Cite book |last=Rowlands |first=Peter |url=https://books.google.com/books?id=CRM0DwAAQBAJ&pg=PA24 |title=Newton And Modern Physics |publisher=World Scientific |year=2017 |isbn=978-1-78634-332-1 |pages=24–25}}</ref>

The physicist ] called Newton's ''Principia'' "the first and greatest work ever written about ]".<ref>{{Cite book |last=Boltzmann |first=Ludwig |author-link=Ludwig Boltzmann |url=https://archive.org/details/theoretical-physics-and-philosophical-problems-selected-writings/page/157 |title=Theoretical Physics and Philosophical Problems: Selected Writings |date=1974 |publisher=Springer Netherlands |isbn=978-90-277-0250-0 |editor-last=McGuinness |editor-first=Brian |location=Dordrecht}}</ref> Physicist ] similarly called ''Principia'' "probably the most important single work ever published in the ]".<ref name=":62">{{Cite book |last=Pask |first=Colin |author-link=Colin Pask |url=https://books.google.com/books?id=lRhnAAAAQBAJ&pg=PA11 |title=Magnificent Principia: Exploring Isaac Newton's Masterpiece |date=2013 |publisher=Prometheus Books |isbn=978-1-61614-746-4 |location=Amherst, New York |page=11}}</ref>

Physicist ] stated that Newton "was capable of greater sustained mental effort than any man, before or since", and noted earlier the place of Isaac Newton in history, stating:<ref>{{Cite book |last=Andrade |first=Edward |author-link=Edward Andrade |title=The World of Mathematics: Volume 1 |publisher=] |year=2000 |isbn=9780486411538 |editor-last=Newman |editor-first=James R. |editor-link=James R. Newman |edition=Reprint |page= |pages=255, 275 |chapter=Isaac Newton |chapter-url=https://books.google.com/books?id=UQqLHyd8K0IC&pg=PA255}}</ref>{{blockquote|From time to time in the history of mankind a man arises who is of universal significance, whose work changes the current of human thought or of human experience, so that all that comes after him bears evidence of his spirit. Such a man was ], such a man was ], such a man was Newton, and, of the three, his kingdom is the most widespread.}}The French physicist and mathematician ] praised Newton's genius, stating that:<ref>{{Cite book |last=King |first=Edmund Fillingham |url=https://books.google.com/books?id=5O49AAAAIAAJ&pg=PA97 |title=A Biographical Sketch of Sir Isaac Newton |publisher=S. Ridge & Son |year=1858 |edition=2nd |pages=97}}</ref>
{{blockquote|Never was the supremacy of intellect so justly established and so fully confessed . . . In mathematical and in experimental science without an equal and without an example; combining the genius for both in its highest degree.}}Despite his rivalry with ], Leibniz still praised the work of Newton, with him responding to a question at a dinner in 1701 from ], the Queen of Prussia, about his view of Newton with:<ref>{{Cite book |last1=Schorling |first1=Raleigh |url=https://books.google.com/books?id=qMZXAAAAMAAJ&pg=PA418 |title=General Mathematics |last2=Reeve |first2=William David |publisher=Ginn & Company |year=1919 |pages=418 |language=en}}</ref>{{sfn|Westfall|1994|p=282}}{{blockquote|Taking mathematics from the beginning of the world to the time of when Newton lived, what he had done was much the better half.}}
Mathematician ] ranked Newton alongside ] and ] as the three greatest mathematicians of all time.<ref>{{Cite book |last=Bell |first=Eric Temple |author-link=Eric Temple Bell |chapter-url=https://books.google.com/books?id=UQqLHyd8K0IC&pg=PA295 |title=The World of Mathematics: Volume 1 |publisher=] |year=2000 |isbn=9780486411538 |editor-last=Newman |editor-first=James R. |editor-link=James R. Newman |edition=Reprint |pages=294–295 |chapter=Gauss, the Prince of Mathematicians}}</ref> In ''The Cambridge Companion to Isaac Newton'' (2016), he is described as being "from a very young age, an extraordinary problem-solver, as good, it would appear, as humanity has ever produced".<ref>{{Cite book |url= |title=The Cambridge Companion to Newton |date=2016 |publisher=] |isbn=978-1-139-05856-8 |editor-last=Iliffe |editor-first=Rob |edition=2nd |page=30 |doi=10.1017/cco9781139058568 |editor-last2=Smith |editor-first2=George E.}}</ref> He is ultimately ranked among the top two or three greatest theoretical scientists ever, alongside ] and ], the greatest mathematician ever alongside Carl F. Gauss, and among the best experimentalists ever, thereby "putting Newton in a class by himself among empirical scientists, for one has trouble in thinking of any other candidate who was in the first rank of even two of these categories." Also noted is "At least in comparison to subsequent scientists, Newton was also exceptional in his ability to put his scientific effort in much wider perspective".<ref>{{Cite book |url= |title=The Cambridge Companion to Newton |date=2016 |publisher=] |isbn=978-1-139-05856-8 |editor-last=Iliffe |editor-first=Rob |edition=2nd |pages=15–16 |doi=10.1017/cco9781139058568 |editor-last2=Smith |editor-first2=George E.}}</ref> Gauss himself had Archimedes and Newton as his heroes,<ref>{{Cite book |last=Goldman |first=Jay R. |title=The Queen of Mathematics: A Historically Motivated Guide to Number Theory |date=1998 |publisher=A.K. Peters |isbn=978-1-56881-006-5 |location= |pages=88 |language=en}}</ref> and used terms such as ] or ] to describe other intellectuals such as great mathematicians and philosophers, but reserved ] for Newton only, and once remarked that "Newton remains forever the master of all masters!"<ref>{{Cite book |last=Dunnington |first=Guy Waldo |url=https://books.google.com/books?id=MMH2DwAAQBAJ&pg=PA57 |title=Carl Friedrich Gauss: Titan of Science |date=2004 |publisher=Mathematical Association of America |isbn=978-0-88385-547-8 |series=Spectrum series |pages=57, 232}}</ref>

Albert Einstein kept a picture of Newton on his study wall alongside ones of ] and of James Clerk Maxwell.<ref>{{Cite news |last=Gleeson-White |first=Jane |date=10 November 2003 |title=Einstein's Heroes |url=https://www.smh.com.au/entertainment/books/einsteins-heroes-20031110-gdhr3v.html |url-status=live |archive-url=https://web.archive.org/web/20191128115406/https://www.smh.com.au/entertainment/books/einsteins-heroes-20031110-gdhr3v.html |archive-date=28 November 2019 |access-date=29 September 2021 |work=The Sydney Morning Herald}}</ref> Einstein stated that Newton's creation of calculus in relation to his laws of motion was "perhaps the greatest advance in thought that a single individual was ever privileged to make."<ref>{{Cite book |last=Capra |first=Fritjof |author-link=Fritjof Capra |title=The Tao of Physics: An Exploration of the Parallels Between Modern Physics and Eastern Mysticism |date=1975 |publisher=Shambhala |isbn=978-0-87773-078-1 |location=Berkeley |page=56 }}</ref> He also noted the influence of Newton, stating that:<ref name=":6">{{Cite book |last=Pask |first=Colin |author-link=Colin Pask |url=https://books.google.com/books?id=lRhnAAAAQBAJ&pg=PA11 |title=Magnificent Principia: Exploring Isaac Newton's Masterpiece |date=2013 |publisher=Prometheus Books |isbn=978-1-61614-746-4 |location=Amherst, New York |page=11}}</ref>{{blockquote|The whole evolution of our ideas about the processes of nature, with which we have been concerned so far, might be regarded as an organic development of Newton's ideas.}}In 1999, an opinion poll of 100 of the day's leading physicists voted Einstein the "greatest physicist ever," with Newton the runner-up, while a parallel survey of rank-and-file physicists ranked Newton as the greatest.<ref>{{Cite news |date=29 November 1999 |title=Opinion poll. Einstein voted 'greatest physicist ever' by leading physicists; Newton runner-up |url=http://news.bbc.co.uk/2/hi/science/nature/541840.stm |url-status=live |archive-url=https://web.archive.org/web/20170812011359/http://news.bbc.co.uk/1/hi/sci/tech/541840.stm |archive-date=12 August 2017 |access-date=17 January 2012 |work=BBC News}}</ref><ref>{{Cite web |last= |first= |date=29 November 1999 |title=Newton tops PhysicsWeb poll |url=https://physicsworld.com/a/newton-tops-physicsweb-poll/ |access-date=19 November 2024 |website=Physics World }}</ref> In 2005, a dual survey of both the public and of members of Britain's ] (formerly headed by Newton) asking who had the greater effect on both the history of science and on the history of mankind, Newton or Einstein, both the public and the Royal Society deemed Newton to have made the greater overall contributions for both.<ref>{{Cite web |date=23 November 2005 |title=Newton beats Einstein in polls of scientists and the public |url=https://royalsociety.org/news/2012/newton-einstein/ |access-date=19 June 2024 |website=]}}</ref><ref>{{Cite web |last= |first= |date=24 November 2005 |title=Newton beats Einstein in new poll |url=https://www.abc.net.au/science/articles/2005/11/24/1515693.htm |access-date=11 September 2024 |website=www.abc.net.au }}</ref>

In 1999, ] named Newton the ] for the 17th century.<ref name=":10" /> Newton placed sixth in the '']'' poll conducted by ] in 2002. However, in 2003, he was voted as the greatest ] in a poll conducted by ], with ] second.<ref>{{Cite news |date=13 August 2003 |title=Newton voted greatest Briton |url=http://news.bbc.co.uk/2/hi/entertainment/3151333.stm |access-date=22 November 2024 |work=]}}</ref> He was voted as the greatest ] by ] students in 2009.<ref>{{Cite news |date=2009-11-20 |title=Newton voted Greatest Cantabrigian |url=https://www.varsity.co.uk/news/1609 |access-date=2024-11-30 |work=]}}</ref>

Physicist ] ] of productivity and genius ranging from 0 to 5. The highest ranking, 0, was assigned to Newton. Einstein was ranked 0.5. A rank of 1 was awarded to the fathers of ], such as ] and ]. Landau, a Nobel prize winner and the discoverer of ], ranked himself as 2.<ref>{{Cite journal |last=Mitra |first=Asoke |author-link=Asoke Nath Mitra |date=2006-11-01 |title=New Einsteins need positive environment, independent spirit |url=https://pubs.aip.org/physicstoday/article/59/11/12/395831/New-Einsteins-need-positive-environment |journal=Physics Today |language=en |volume=59 |issue=11 |pages=12 |doi=10.1063/1.4797321 |bibcode=2006PhT....59k..12M |issn=0031-9228}}</ref><ref>{{Cite book |last=Goldberg |first=Elkhonon |author-link=Elkhonon Goldberg |url=https://books.google.com/books?id=Rr9EDwAAQBAJ&pg=PA166 |title=Creativity: The Human Brain in the Age of Innovation |date=2018 |publisher=Oxford University Press |isbn=978-0-19-046649-7 |location=New York, NY |pages=166 |language=en}}</ref>

The ] of ] is named the ] in his honour.

=== Apple incident ===
{{Main|Isaac Newton's apple tree}}
{{Multiple image|direction=vertical|align=right|image1=Sapling of newton apple tree (cropped).jpg|image2=Newton's tree, Botanic Gardens, Cambridge (sign).jpg|image3=Newtons apple.jpg|width=220|caption3=Reputed descendants of Newton's apple tree at (from top to bottom): ], the ], and the ] library garden in Argentina}}
Newton himself often told the story that he was inspired to formulate his theory of gravitation by watching the fall of an apple from a tree.{{sfn|White|1997|p=86}}{{sfn|Numbers|2015|pp=48–56}} The story is believed to have passed into popular knowledge after being related by ], Newton's niece, to ].<ref>{{Cite book |last=Malament |first=David&nbsp;B. |url=https://books.google.com/books?id=TqcMQy-Ioc4C&q=catherine+barton+apple&pg=PA118 |title=Reading Natural Philosophy: Essays in the History and Philosophy of Science and Mathematics |date=2002 |publisher=Open Court Publishing |isbn=978-0-8126-9507-6 |access-date=18 October 2020 |archive-url=https://web.archive.org/web/20210414055334/https://books.google.com/books?id=TqcMQy-Ioc4C&q=catherine+barton+apple&pg=PA118 |archive-date=14 April 2021 |url-status=live}}</ref> Voltaire then wrote in his ''Essay on Epic Poetry'' (1727), "Sir Isaac Newton walking in his gardens, had the first thought of his system of gravitation, upon seeing an apple falling from a tree."<ref>{{Cite book |last=Voltaire |url=https://books.google.com/books?id=0o5bAAAAQAAJ&pg=PA104 |title=An Essay upon the Civil Wars of France, extracted from curious Manuscripts and also upon the Epick Poetry of the European Nations, from Homer down to Milton |date=1727 |publisher=Samuel Jallasson |location=London, England |page=104 |access-date=14 June 2021 |archive-url=https://web.archive.org/web/20210614182518/https://books.google.com/books?id=0o5bAAAAQAAJ&pg=PA104 |archive-date=14 June 2021 |url-status=live}} From p. 104: 'In the like Manner ''Pythagoras'' ow'd the Invention of Musik to the noise of the Hammer of a Blacksmith. And thus in our Days Sir ''Isaak Newton'' walking in his Garden had the first Thought of his System of Gravitation, upon seeing an apple falling from a Tree.'</ref><ref>Voltaire (1786) heard the story of Newton and the apple tree from Newton's niece, Catherine Conduit (née Barton) (1679–1740): {{Cite book |last=Voltaire |url=https://books.google.com/books?id=NKWTGHiZSm4C&pg=PA175 |title=Oeuvres completes de Voltaire |date=1786 |publisher=Jean-Jacques Tourneisen |volume=31 |location=Basel, Switzerland |page=175 |language=French |trans-title=The complete works of Voltaire |access-date=15 June 2021 |archive-url=https://web.archive.org/web/20210709192112/https://books.google.com/books?id=NKWTGHiZSm4C&pg=PA175 |archive-date=9 July 2021 |url-status=live}} From p. 175: ''"Un jour en l'année 1666, ''Newton'' retiré à la campagne, et voyant tomber des fruits d'un arbre, à ce que m'a conté sa nièce, (Mme ''Conduit'') se laissa aller à une méditation profonde sur la cause qui entraine ainsi tous les corps dans une ligne, qui, si elle était prolongée, passerait à peu près par le centre de la terre."'' (One day in the year 1666 ''Newton'' withdrew to the country, and seeing the fruits of a tree fall, according to what his niece (Madame ''Conduit'') told me, he entered into a deep meditation on the cause that draws all bodies in a line, which, if it were extended, would pass very near to the center of the Earth.)</ref>

Although it has been said that the apple story is a myth and that he did not arrive at his theory of gravity at any single moment,<ref name="Berkun2010" /> acquaintances of Newton (such as ], whose manuscript account of 1752 has been made available by the Royal Society) do in fact confirm the incident, though not the apocryphal version that the apple actually hit Newton's head. Stukeley recorded in his ''Memoirs of Sir Isaac Newton's Life'' a conversation with Newton in Kensington on 15 April 1726:<ref name="Newton's apple: The real story" /><ref name="NP">{{Cite web |title=Revised Memoir of Newton (Normalized Version) |url=http://www.newtonproject.ox.ac.uk/view/texts/normalized/OTHE00001 |url-status=live |archive-url=https://web.archive.org/web/20170314064817/http://www.newtonproject.ox.ac.uk/view/texts/normalized/OTHE00001 |archive-date=14 March 2017 |access-date=13 March 2017 |website=The Newton Project}}</ref>

{{Blockquote|we went into the garden, & drank thea under the shade of some appletrees, only he, & myself. amidst other discourse, he told me, he was just in the same situation, as when formerly, the notion of gravitation came into his mind. "why should that apple always descend perpendicularly to the ground," thought he to him self: occasion'd by the fall of an apple, as he sat in a comtemplative mood: "why should it not go sideways, or upwards? but constantly to the earths centre? assuredly, the reason is, that the earth draws it. there must be a drawing power in matter. & the sum of the drawing power in the matter of the earth must be in the earths center, not in any side of the earth. therefore dos this apple fall perpendicularly, or toward the center. if matter thus draws matter; it must be in proportion of its quantity. therefore the apple draws the earth, as well as the earth draws the apple."<!-- Please do not correct the spelling in this quotation, which is as per the cited source. -->}}

], Newton's assistant at the Royal Mint and husband of Newton's niece, also described the event when he wrote about Newton's life:<ref name="Keynes Ms. 130.4:Conduitt's account of Newton's life at Cambridge" />

{{Blockquote|In the year 1666 he retired again from Cambridge to his mother in Lincolnshire. Whilst he was pensively meandering in a garden it came into his thought that the power of gravity (which brought an apple from a tree to the ground) was not limited to a certain distance from earth, but that this power must extend much further than was usually thought. Why not as high as the Moon said he to himself & if so, that must influence her motion & perhaps retain her in her orbit, whereupon he fell a calculating what would be the effect of that supposition.}}
It is known from his notebooks that Newton was grappling in the late 1660s with the idea that terrestrial gravity extends, in an inverse-square proportion, to the Moon; however, it took him two decades to develop the full-fledged theory.<ref>I. Bernard Cohen and George E. Smith, eds. ''The Cambridge Companion to Newton'' (2002) p. 6</ref> The question was not whether gravity existed, but whether it extended so far from Earth that it could also be the force holding the Moon to its orbit. Newton showed that if the force decreased as the inverse square of the distance, one could indeed calculate the Moon's orbital period, and get good agreement. He guessed the same force was responsible for other orbital motions, and hence named it "universal gravitation".

Various trees are claimed to be "the" apple tree which Newton describes. The ] claims that the tree was purchased by the school, uprooted and transported to the headmaster's garden some years later. The staff of the (now) ]-owned ] dispute this, and claim that a tree present in their gardens is the one described by Newton. A descendant of the original tree<ref>Alberto A. Martinez ''Science Secrets: The Truth about Darwin's Finches, Einstein's Wife, and Other Myths'', p. 69 (University of Pittsburgh Press, 2011); {{isbn|978-0-8229-4407-2}}</ref> can be seen growing outside the main gate of Trinity College, Cambridge, below the room Newton lived in when he studied there. The ] at ] in Kent<ref name="Brogdale—Home of the National Fruit Collection" /> can supply grafts from their tree, which appears identical to ], a coarse-fleshed cooking variety.<ref name="From the National Fruit Collection: Isaac Newton's Tree" />

=== Commemorations ===
]]]
Newton's monument (1731) can be seen in ], at the north of the entrance to the choir against the choir screen, near his tomb. It was executed by the sculptor ] (1694–1770) in white and grey marble with design by the architect ].<ref>'The Abbey Scientists' Hall, A.R. p13: London; Roger & Robert Nicholson; 1966</ref> The monument features a figure of Newton reclining on top of a sarcophagus, his right elbow resting on several of his great books and his left hand pointing to a scroll with a mathematical design. Above him is a pyramid and a celestial globe showing the signs of the Zodiac and the path of the comet of 1680. A relief panel depicts ] using instruments such as a telescope and prism.<ref name="wmabbey" />

From 1978 until 1988, an image of Newton designed by Harry Ecclestone appeared on Series D £1 ] issued by the ] (the last £1 notes to be issued by the Bank of England). Newton was shown on the reverse of the notes holding a book and accompanied by a telescope, a prism and a map of the ].<ref name="bankofengland" />

A statue of Isaac Newton, looking at an apple at his feet, can be seen at the ]. A large bronze statue, '']'', by ], dated 1995 and inspired by ]'s ], dominates the piazza of the ] in London. A bronze statue of Newton was erected in 1858 in the centre of ] where he went to school, prominently standing in front of ].

The still-surviving farmhouse at Woolsthorpe By Colsterworth is a Grade I ] by ] through being his birthplace and "where he discovered gravity and developed his theories regarding the refraction of light".<ref name="ReferenceA">{{NHLE|num=1062362|desc=Woolsthorpe Manor House, Colsterworth|access-date=5 October 2021}}</ref>
{{clear left}}

== The Enlightenment ==
] philosophers chose a short history of scientific predecessors—Galileo, Boyle, and Newton principally—as the guides and guarantors of their applications of the singular concept of ] and ] to every physical and social field of the day. In this respect, the lessons of history and the social structures built upon it could be discarded.<ref>Cassels, Alan. Ideology and International Relations in the Modern World. p. 2.</ref>

It is held by European philosophers of the Enlightenment and by historians of the Enlightenment that Newton's publication of the ] was a turning point in the ] and started the Enlightenment. It was Newton's conception of the universe based upon natural and rationally understandable laws that became one of the seeds for Enlightenment ideology.<ref>"Although it was just one of the many factors in the Enlightenment, the success of Newtonian physics in providing a mathematical description of an ordered world clearly played a big part in the flowering of this movement in the eighteenth century" by John Gribbin, ''Science: A History 1543–2001'' (2002), p. 241 {{ISBN|978-0-7139-9503-9}}</ref> Locke and ] applied concepts of natural law to political systems advocating intrinsic rights; the ]s and ] applied natural conceptions of ] and self-interest to economic systems; and ] criticised the current ] for trying to fit history into natural models of ]. ] and ] resisted elements of Newton's work, but eventually rationalised it to conform with their strong religious views of nature.

== Works ==

=== Published in his lifetime ===
* '']'' (1669, published 1711)<ref>Anders Hald 2003 – ''A history of probability and statistics and their applications before 1750'' – 586 pages ''Volume 501 of Wiley series in probability and statistics'' {{Webarchive|url=https://web.archive.org/web/20220602024647/https://books.google.com/books?id=pOQy6-qnVx8C&pg=PA563&q=de%20analysi%20per%20aequationes%20numero%20terminorum%20infinitas |date=2 June 2022 }} Retrieved 27 January 2012 {{ISBN|0-471-47129-1}}</ref>
* ''Of Natures Obvious Laws & Processes in Vegetation'' (unpublished, {{circa|1671}}–75)<ref>{{Cite web |title=Natures obvious laws & processes in vegetation – Introduction |url=http://webapp1.dlib.indiana.edu/newton/mss/intro/ALCH00081/query/field1=text&text1=Of%20Natures%20obvious%20laws%20&%20processes%20in%20vegetation |url-status=live |archive-url=https://web.archive.org/web/20210117172142/http://webapp1.dlib.indiana.edu/newton/mss/intro/ALCH00081/query/ |archive-date=17 January 2021 |access-date=17 January 2021 |website=The Chymistry of Isaac Newton}} Transcribed and online at ].</ref>
* '']'' (1684)<ref>Whiteside, D.T., ed. (1974). ''Mathematical Papers of Isaac Newton, 1684–1691''. '''6'''. Cambridge University Press. {{Webarchive|url=https://web.archive.org/web/20160610163025/https://books.google.com/books?id=lIZ0v23iqRgC&pg=PA30 |date=10 June 2016 }}</ref>
* '']'' (1687)<ref>{{Cite web |title=Museum of London exhibit including facsimile of title page from John Flamsteed's copy of 1687 edition of Newton's ''Principia'' |url=http://www.museumoflondon.org.uk/archive/exhibits/pepys/pages/largeImage.asp?id=101&size=3&nav=none |url-status=dead |archive-url=https://web.archive.org/web/20120331192529/http://www.museumoflondon.org.uk/archive/exhibits/pepys/pages/largeImage.asp?id=101&size=3&nav=none |archive-date=31 March 2012 |access-date=16 March 2012 |publisher=Museumoflondon.org.uk}}</ref>
* '']'' (1701)<ref>Published anonymously as "Scala graduum Caloris. Calorum Descriptiones & signa." in ''Philosophical Transactions'', 1701, {{Webarchive|url=https://web.archive.org/web/20200121085937/https://books.google.com/books?id=x8NeAAAAcAAJ&pg=PA824 |date=21 January 2020 }}–829;
ed. Joannes Nichols, ''Isaaci Newtoni Opera quae exstant omnia'', vol. 4 (1782), {{Webarchive|url=https://web.archive.org/web/20160617115723/https://books.google.com/books?id=Dz2FzJqaJMUC&pg=PA403 |date=17 June 2016 }}–407.
Mark P. Silverman, ''A Universe of Atoms, An Atom in the Universe'', Springer, 2002, {{Webarchive|url=https://web.archive.org/web/20160624011536/https://books.google.com/books?id=-Er5pIsYe_AC&pg=PA49 |date=24 June 2016 }}</ref>
* '']'' (1704)<ref>{{Cite book |last=Newton |first=Isaac |url=http://gallica.bnf.fr/ark:/12148/bpt6k3362k |title=Opticks or, a Treatise of the reflexions, refractions, inflexions and colours of light. Also two treatises of the species and magnitude of curvilinear figures |publisher=Sam. Smith. and Benj. Walford |year=1704 |access-date=17 March 2018 |archive-url=https://web.archive.org/web/20210224021530/http://gallica.bnf.fr/ark:/12148/bpt6k3362k |archive-date=24 February 2021 |url-status=live}}</ref>
* ''Reports as Master of the Mint'' (1701–1725)<ref name="Pickover2008">{{Cite book |last=Pickover |first=Clifford |url=https://books.google.com/books?id=SQXcpvjcJBUC&pg=PAPA117 |title=Archimedes to Hawking: Laws of Science and the Great Minds Behind Them |date=2008 |publisher=Oxford University Press |isbn=978-0-19-979268-9 |pages=117–18 |access-date=17 March 2018 |archive-date=26 February 2024 |archive-url=https://web.archive.org/web/20240226145626/https://books.google.com/books?id=SQXcpvjcJBUC&pg=PAPA117#v=onepage&q&f=false |url-status=live }}</ref>
* '']'' (1707)<ref name="Pickover2008" />

=== Published posthumously ===
* ''De mundi systemate'' (''The System of the World'') (1728)<ref name="Pickover2008" />
* ''Optical Lectures'' (1728)<ref name="Pickover2008" />
* '']'' (1728)<ref name="Pickover2008" />
* ''Observations on Daniel and The Apocalypse of St. John'' (1733)<ref name="Pickover2008" />
* '']'' (1671, published 1736)<ref>{{Cite magazine |last=Swetz |first=Frank&nbsp;J. |title=Mathematical Treasure: Newton's Method of Fluxions |url=https://www.maa.org/press/periodicals/convergence/mathematical-treasure-newtons-method-of-fluxions |url-status=live |magazine=Convergence |publisher=Mathematical Association of America |archive-url=https://web.archive.org/web/20170628213844/http://www.maa.org/press/periodicals/convergence/mathematical-treasure-newtons-method-of-fluxions |archive-date=28 June 2017 |access-date=17 March 2018}}</ref>
* '']'' (1754)<ref name="Pickover2008" />

== See also ==
* '']'', a book by Voltaire
* ]
* ]
* ]

== References ==
=== Notes ===
{{Notelist}}

=== Citations ===
{{Reflist|refs=
<ref name="Berkun2010">{{Cite book |last=Berkun |first=Scott |url=https://books.google.com/books?id=kPCgnc70MSgC&pg=PAPA4 |title=The Myths of Innovation |date=2010 |publisher=O'Reilly Media, Inc. |isbn=978-1-4493-8962-8 |page=4 |author-link=Scott Berkun |access-date=1 December 2018 |archive-date=17 March 2020 |archive-url=https://web.archive.org/web/20200317084422/https://books.google.com/books?id=kPCgnc70MSgC&pg=PAPA4 |url-status=live }}</ref>

<ref name="Brogdale—Home of the National Fruit Collection">{{Cite web |title=Brogdale&nbsp;– Home of the National Fruit Collection |url=http://www.brogdale.org |url-status=dead |archive-url=https://web.archive.org/web/20081201035839/http://www.brogdale.org/ |archive-date=1 December 2008 |access-date=20 December 2008 |publisher=Brogdale.org}}</ref>

<ref name="Enlightenment and Religion: Rational Dissent in eighteenth-century Britain">{{Cite book |last=Haakonssen |first=Knud |title=Enlightenment and Religion: Rational Dissent in Eighteenth-century Britain |date=1996 |publisher=Cambridge University Press |isbn=978-0-521-56060-3 |editor-last=Martin Fitzpatrick |location=Cambridge |page=64 |chapter=The Enlightenment, politics and providence: some Scottish and English comparisons}}</ref>

<ref name="From the National Fruit Collection: Isaac Newton's Tree">{{cite web |url=http://www.brogdale.org.uk/image1.php?varietyid=1089 |title=From the National Fruit Collection: Isaac Newton's Tree |access-date=10 January 2009 }}{{dead link|date=June 2017 |bot=InternetArchiveBot |fix-attempted=yes }} {{Webarchive|url=https://web.archive.org/web/20220705225956/http://www.nationalfruitcollection.org.uk/full2.php?varid=2946&&acc=1948729 |date=5 July 2022 }} Retrieved 5 July 2022.</ref>

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<ref name="Keynes Ms. 130.4:Conduitt's account of Newton's life at Cambridge">{{cite web|url=http://www.newtonproject.sussex.ac.uk/view/texts/normalized/THEM00167|last=Conduitt|first=John|title=Keynes Ms. 130.4:Conduitt's account of Newton's life at Cambridge|website=Newtonproject|publisher=Imperial College London|access-date=30 August 2006|archive-date=7 November 2009|archive-url=https://web.archive.org/web/20091107101632/http://www.newtonproject.sussex.ac.uk/view/texts/normalized/THEM00167|url-status=live}}</ref>

<ref name="More">{{cite book|last=Westfall|first=Richard&nbsp;S.|orig-year=1980|date=1983|title=Never at Rest: A Biography of Isaac Newton|publisher=Cambridge University Press|location=Cambridge|isbn=978-0-521-27435-7|pages=|url=https://archive.org/details/neveratrestbiogr00west/page/530}}</ref>

<ref name="Newton's Alchemy and His Theory of Matter">{{cite journal|last=Dobbs|first=J.&nbsp;T.|date=December 1982|title=Newton's Alchemy and His Theory of Matter|journal=Isis|volume=73|issue=4|page=523|doi=10.1086/353114|s2cid=170669199}} quoting ''Opticks''</ref>

<ref name="Newton's apple: The real story">{{cite journal|journal=New Scientist|url=https://www.newscientist.com/blogs/culturelab/2010/01/newtons-apple-the-real-story.php|archive-url=https://archive.today/20100121073908/http://www.newscientist.com/blogs/culturelab/2010/01/newtons-apple-the-real-story.php|url-status=dead|archive-date=21 January 2010|title=Newton's apple: The real story|date=18 January 2010|access-date=10 May 2010}}</ref>

<ref name="Newton, Isaac (1642–1727)">{{cite web|url=http://scienceworld.wolfram.com/biography/Newton.html|title=Newton, Isaac (1642–1727)|website=Eric Weisstein's World of Biography|access-date=30 August 2006|publisher=Eric W. Weisstein|archive-date=28 April 2006|archive-url=https://web.archive.org/web/20060428081045/http://scienceworld.wolfram.com/biography/Newton.html|url-status=live}}</ref>

<ref name="OPN1">{{cite journal|last=Duarte|first=F.&nbsp;J.|author-link=F. J. Duarte|year=2000|title=Newton, prisms, and the 'opticks' of tunable lasers|journal=Optics and Photonics News|volume=11|issue=5|pages=24–25|doi=10.1364/OPN.11.5.000024|bibcode=2000OptPN..11...24D|url=http://www.tunablelasers.com/F.J.DuarteOPN%282000%29.pdf|access-date=17 February 2015|archive-date=17 February 2015|archive-url=https://web.archive.org/web/20150217223512/http://www.tunablelasers.com/F.J.DuarteOPN%282000%29.pdf|url-status=live}}</ref>

<ref name="Science and Religion in Seventeenth-Century England">{{cite book|last=Westfall |first=Richard&nbsp;S. |date=1958 |title=Science and Religion in Seventeenth-Century England |publisher=Yale University Press |location=New Haven |page=200 |isbn=978-0-208-00843-5}}</ref>

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<ref name="The Collected Writings of John Maynard Keynes Volume X">{{cite book|last=Keynes |first=John Maynard |date=1972 |chapter=Newton, The Man |title=The Collected Writings of John Maynard Keynes Volume X |publisher=MacMillan St. Martin's Press |pages=363–66}}</ref>

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<ref name="The Newtonians and the English Revolution: 1689–1720">{{cite book|last=Jacob|first=Margaret&nbsp;C.|date=1976|title=The Newtonians and the English Revolution: 1689–1720|url=https://archive.org/details/newtoniansenglis00jaco|url-access=registration|publisher=Cornell University Press|pages=, 44|isbn=978-0-85527-066-7}}</ref>

<ref name="White 1997, p170">{{harvnb|White|1997|p=170}}</ref>

<ref name="bankofengland">{{cite web|url=http://www.bankofengland.co.uk/banknotes/denom_guide/nonflash/1-SeriesD-Revised.htm|title=Withdrawn banknotes reference guide|publisher=Bank of England|access-date=27 August 2009|url-status=dead|archive-url=https://web.archive.org/web/20100505053927/http://www.bankofengland.co.uk/banknotes/denom_guide/nonflash/1-SeriesD-Revised.htm|archive-date=5 May 2010}}</ref>

<ref name="books.google.com">{{cite book |url={{Google books|7R8LsvMcUioC|page=|keywords=|text=|plainurl=yes}} |title=Isaac Newton: adventurer in thought |page=67 |isbn=978-0-521-56669-8 |last=Hall |first=Alfred Rupert |author-link=Alfred Rupert Hall |date=1996 |publisher=Cambridge University Press |oclc=606137087 |quote=This is the one dated 23 February 1669, in which Newton described his first reflecting telescope, constructed (it seems) near the close of the previous year. }}</ref>

<!-- <ref name="dulles">Avery Cardinal Dulles. {{Webarchive|url=https://web.archive.org/web/20131006023220/http://www.firstthings.com/print.php?type=article&year=2008&month=08&title_link=the-deist-minimum--28 |date=6 October 2013 }} (January 2005).</ref> unused -->

<ref name="hooke1679nov24">See 'Correspondence of Isaac Newton, vol. 2, 1676–1687' ed. H.W. Turnbull, Cambridge University Press 1960; at p. 297, document No. 235, letter from Hooke to Newton dated 24 November 1679.</ref>

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<ref name="royalsoc.ac.uk">{{cite web |title=Newton beats Einstein in polls of Royal Society scientists and the public |website=The Royal Society |url=http://royalsociety.org/News.aspx?id=1324&terms=Newton+beats+Einstein+in+polls+of+scientists+and+the+public |access-date=24 August 2010 |archive-date=13 July 2017 |archive-url=https://web.archive.org/web/20170713073814/https://royalsociety.org/News.aspx?id=1324&terms=Newton+beats+Einstein+in+polls+of+scientists+and+the+public |url-status=live }}</ref>
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<ref name="wmabbey">{{cite web|url=http://www.westminster-abbey.org/our-history/people/sir-isaac-newton|title=Famous People & the Abbey: Sir Isaac Newton|publisher=Westminster Abbey|access-date=13 November 2009|archive-date=16 October 2009|archive-url=https://web.archive.org/web/20091016081238/http://www.westminster-abbey.org/our-history/people/sir-isaac-newton|url-status=live}}</ref>

<ref name="Whittaker">], '']'', Dublin University Press, 1910.</ref>}}

=== Bibliography ===
{{refbegin|30em}}
* {{cite book|last=Ball|first=W.&nbsp;W. Rouse|title=A Short Account of the History of Mathematics|location=New York|publisher=Dover|date=1908|isbn=978-0-486-20630-1|url-access=registration|url=https://archive.org/details/shortaccountofhi0000ball}}
* {{cite book|last=Gjertsen|first=Derek|title=The Newton Handbook|publisher=Routledge & Kegan Paul|location=London|date=1986|isbn=0-7102-0279-2}}
* {{cite book |last1=Katz |first1=David S. |editor1-last=Kushner |editor1-first=Tony |title=The Marginalization of Early Modern Jewish History |date=1992 |publisher=Frank Cass |isbn=0-7146-3464-6 |pages=42–59 |chapter=Englishness and Medieval Anglo-Jewry}}
* {{cite book|last=Levenson|first=Thomas|title= Newton and the Counterfeiter: The Unknown Detective Career of the World's Greatest Scientist|publisher=Mariner Books|date=2010|isbn=978-0-547-33604-6}}
* {{cite book|last=Manuel|first=Frank&nbsp;E.|title=A Portrait of Isaac Newton|url=https://archive.org/details/portraitofisaacn00manu|url-access=registration|date=1968|publisher=Belknap Press of Harvard University, Cambridge, MA}}
* {{cite book|last=Numbers|first=R.&nbsp;L.|year=2015|title=Newton's Apple and Other Myths about Science|url=https://books.google.com/books?id=pWouCwAAQBAJ|publisher=Harvard University Press|isbn=978-0-674-91547-3|access-date=7 December 2018|archive-date=8 July 2023|archive-url=https://web.archive.org/web/20230708151321/https://books.google.com/books?id=pWouCwAAQBAJ|url-status=live}}
* {{cite book|last=Stewart|first=James|title=Calculus: Concepts and Contexts|publisher=Cengage Learning|date=2009|isbn=978-0-495-55742-5}}
* {{cite book|author-link=Richard S. Westfall|last=Westfall|first=Richard&nbsp;S.|title=Never at Rest|publisher=Cambridge University Press|date=1980|isbn=978-0-521-27435-7|url=https://archive.org/search.php?query=creator%3A%28westfall%29%20newton}}
* {{cite book|last=Westfall|first=Richard&nbsp;S.|title=Isaac Newton|publisher=Cambridge University Press|date=2007|isbn=978-0-19-921355-9}}
* {{cite book|last=Westfall|first=Richard&nbsp;S.|title=The Life of Isaac Newton|publisher=Cambridge University Press|date=1994|isbn=978-0-521-47737-6|url=https://archive.org/search.php?query=creator%3A%28westfall%29%20newton}}
* {{cite book|author-link=Michael White (author)|title=Isaac Newton: The Last Sorcerer|first=Michael|last=White|publisher=Fourth Estate Limited|date=1997|isbn=978-1-85702-416-6}}
{{refend}}

== Further reading ==
=== Primary ===
{{refbegin|colwidth=30em}}
* Newton, Isaac. ''The Principia: Mathematical Principles of Natural Philosophy.'' ], (1999)
** Brackenridge, J. Bruce. ''The Key to Newton's Dynamics: The Kepler Problem and the Principia: Containing an English Translation of Sections 1, 2, and 3 of Book One from the First (1687) Edition of Newton's Mathematical Principles of Natural Philosophy'', University of California Press (1996)
* Newton, Isaac. ''The Optical Papers of Isaac Newton. Vol. 1: The Optical Lectures, 1670–1672'', Cambridge University Press (1984)
** Newton, Isaac. ''Opticks'' (4th ed. 1730)
** Newton, I. (1952). Opticks, or A Treatise of the Reflections, Refractions, Inflections & Colours of Light. New York: Dover Publications.
* Newton, I. ''Sir Isaac Newton's Mathematical Principles of Natural Philosophy and His System of the World'', tr. A. Motte, rev. ]. Berkeley: University of California Press (1934)
* {{cite book|editor-link=Tom Whiteside|editor-last=Whiteside|editor-first=D.&nbsp;T.|title=The Mathematical Papers of Isaac Newton|location=Cambridge|publisher=Cambridge University Press|date=1967–1982|isbn=978-0-521-07740-8}}&nbsp;– 8 volumes.
* Newton, Isaac. ''The correspondence of Isaac Newton,'' ed. H.W. Turnbull and others, 7 vols (1959–77)
* ''Newton's Philosophy of Nature: Selections from His Writings'' edited by H.S. Thayer (1953; online edition)
* Isaac Newton, Sir; J Edleston; ], ''Correspondence of Sir Isaac Newton and Professor Cotes, including letters of other eminent men'', London, John W. Parker, West Strand; Cambridge, John Deighton (1850, Google Books)
* Maclaurin, C. (1748). ''An Account of Sir Isaac Newton's Philosophical Discoveries, in Four Books''. London: A. Millar and J. Nourse
* Newton, I. (1958). ''Isaac Newton's Papers and Letters on Natural Philosophy and Related Documents'', eds. I.B. Cohen and R.E. Schofield. Cambridge: Harvard University Press
* Newton, I. (1962). ''The Unpublished Scientific Papers of Isaac Newton: A Selection from the Portsmouth Collection in the University Library, Cambridge'', ed. A.R. Hall and M.B. Hall. Cambridge: Cambridge University Press
* Newton, I. (1975). ''Isaac Newton's 'Theory of the Moon's Motion''' (1702). London: Dawson
{{refend}}

=== Alchemy ===
{{Refbegin}}
* {{cite book|last=Craig|first=John|title=Newton at the Mint|date=1946|publisher=Cambridge University Press|location=Cambridge, England}}
* {{cite book|last=Craig|first=John|title=The Mint: A History of the London Mint from A.D. 287 to 1948|chapter=XII. Isaac Newton|publisher=]|year=1953|place=], England|pages=198–222|asin=B0000CIHG7}}
* {{cite book|author-link=Richard de Villamil|last=de Villamil|first= Richard|title=Newton, the Man|publisher=G.&nbsp;D. Knox|location=London|year=1931}}&nbsp;– Preface by Albert Einstein. Reprinted by Johnson Reprint Corporation, New York (1972)
* {{cite book|last=Dobbs|first=B.&nbsp;J.&nbsp;T.|title=The Foundations of Newton's Alchemy or "The Hunting of the Greene Lyon"|year=1975|publisher=Cambridge University Press|place=Cambridge}}
* {{cite book|author-link=John Maynard Keynes|last=Keynes|first=John Maynard|title=Essays in Biography|publisher=W.&nbsp;W. Norton & Co|date=1963|isbn=978-0-393-00189-1|url=https://archive.org/details/essaysinbiograph0000keyn}} Keynes took a close interest in Newton and owned many of Newton's private papers.
* {{cite book|last=Stukeley|first=W.|title=Memoirs of Sir Isaac Newton's Life|publisher=Taylor and Francis|place=London|date=1936}} (edited by A.H. White; originally published in 1752)
* Trabue, J. "Ann and Arthur Storer of Calvert County, Maryland, Friends of Sir Isaac Newton," '']'' 79 (2004): 13–27.
{{Refend}}

=== Religion ===
{{refbegin|colwidth=40em}}
* Dobbs, Betty Jo Tetter. ''The Janus Faces of Genius: The Role of Alchemy in Newton's Thought.'' (1991), links the alchemy to Arianism
* Force, James E., and Richard H. Popkin, eds. ''Newton and Religion: Context, Nature, and Influence.'' (1999), pp. xvii, 325.; 13 papers by scholars using newly opened manuscripts
* {{cite journal |last1=Pfizenmaier |first1=Thomas&nbsp;C. |title=Was Isaac Newton an Arian? |journal=Journal of the History of Ideas |year=1997 |volume=58 |issue=1 |pages=57–80 |doi=10.1353/jhi.1997.0001 |jstor=3653988 |s2cid=170545277 }}
* {{cite journal |last1=Ramati |first1=Ayval |title=The Hidden Truth of Creation: Newton's Method of Fluxions |journal=The British Journal for the History of Science |date=2001 |volume=34 |issue=4 |pages=417–38 |doi=10.1017/S0007087401004484 |jstor=4028372 |s2cid=143045863 }}
* {{cite journal |last1=Snobelen |first1=Stephen&nbsp;D. |title='God of Gods, and Lord of Lords': The Theology of Isaac Newton's General Scholium to the Principia |journal=Osiris |date=2001 |volume=16 |pages=169–208 |doi=10.1086/649344 |jstor=301985 |bibcode=2001Osir...16..169S |s2cid=170364912 }}
* {{cite journal |last1=Snobelen |first1=Stephen&nbsp;D. |title=Isaac Newton, heretic: the strategies of a Nicodemite |journal=The British Journal for the History of Science |date=December 1999 |volume=32 |issue=4 |pages=381–419 |doi=10.1017/S0007087499003751 |jstor=4027945 |s2cid=145208136 }}
{{refend}}

=== Science ===
{{refbegin|colwidth=40em}}
* {{cite book|last=Bechler|first=Zev|title=Contemporary Newtonian Research (Studies in the History of Modern Science)(Volume 9)|date=2013|publisher=Springer|isbn=978-94-009-7717-4}}
* Berlinski, David. ''Newton's Gift: How Sir Isaac Newton Unlocked the System of the World.'' (2000); {{isbn|0-684-84392-7}}
* {{cite book|title=Newton's Principia for the Common Reader|last=Chandrasekhar|first=Subrahmanyan|publisher=Clarendon Press|year=1995|isbn=978-0-19-851744-3|location=Oxford|author-link=Subrahmanyan Chandrasekhar}}
* Cohen, I. Bernard and Smith, George E., ed. ''The Cambridge Companion to Newton.'' (2002). Focuses on philosophical issues only; excerpt and text search; complete edition online {{cite web |url=http://www.questia.com/read/105054986 |title=The Cambridge Companion to Newton |access-date=13 October 2008 |archive-date=8 October 2008 |archive-url=https://web.archive.org/web/20081008010311/http://www.questia.com/read/105054986 |url-status=bot: unknown }}
* {{cite book|last=Christianson|first=Gale|title=In the Presence of the Creator: Isaac Newton & His Times|location=New York|publisher=Free Press|date=1984|isbn=978-0-02-905190-0|url=https://archive.org/details/inpresenceofcr00chri}} This well documented work provides, in particular, valuable information regarding Newton's knowledge of ]
* {{cite book|last=Cohen|first=I.&nbsp;B.|title=The Newtonian Revolution|date=1980|location=Cambridge|publisher=Cambridge University Press|isbn=978-0-521-22964-7}}
* {{cite journal|last=Craig|first=John|title=Isaac Newton&nbsp;– Crime Investigator|journal=Nature|year=1958|volume=182|issue=4629|pages=149–52|doi=10.1038/182149a0|bibcode=1958Natur.182..149C|s2cid=4200994}}
* {{cite journal|last=Craig|first=John|title=Isaac Newton and the Counterfeiters|journal=Notes and Records of the Royal Society of London |volume=18|issue=2|year=1963|pages=136–45|doi=10.1098/rsnr.1963.0017|s2cid=143981415}}
* {{cite book|last=Gleick|first= James|title=Isaac Newton|publisher=Alfred A. Knopf|date=2003|isbn=978-0-375-42233-1}}
* {{cite journal|last=Halley|first=E.|title=Review of Newton's Principia|year=1687|journal= ]|volume=186|pages=291–97}}
* ], ed. ''On the Shoulders of Giants''. {{isbn|0-7624-1348-4}} Places selections from Newton's ''Principia'' in the context of selected writings by Copernicus, Kepler, Galileo and Einstein
* {{cite book|last=Herivel|first=J.&nbsp;W.|title=The Background to Newton's Principia. A Study of Newton's Dynamical Researches in the Years 1664–84|url=https://archive.org/details/backgroundtonewt0000heri|url-access=registration|publisher=Clarendon Press|location=Oxford|date=1965}}
* Newton, Isaac. ''Papers and Letters in Natural Philosophy'', edited by ]. ], 1958, 1978; {{isbn|0-674-46853-8}}.
* {{cite journal|last=Pemberton|first=H.|title=A View of Sir Isaac Newton's Philosophy|journal=The Physics Teacher|volume=4|issue=1|pages=8–9|year=1728|bibcode=1966PhTea...4....8M|doi=10.1119/1.2350900}}
* {{cite book |last=Shamos |first=Morris&nbsp;H. |title=Great Experiments in Physics |location=New York |publisher=Henry Holt and Company, Inc. |date=1959 |isbn=978-0-486-25346-6 |url-access=registration |url=https://archive.org/details/greatexperiments0000unse }}
{{refend}}

== External links ==
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{{Spoken Misplaced Pages|Isaac Newton.ogg|date=30 July 2008}}
* {{Webarchive|url=https://web.archive.org/web/20161202133956/http://www.enlighteningscience.sussex.ac.uk/home |date=2 December 2016 }}: Texts of his papers, "Popularisations" and podcasts at the Newton Project
* {{UK National Archives ID}}
* {{NPG name|name=Sir Isaac Newton}}

=== Writings by Newton ===
* {{Webarchive|url=https://web.archive.org/web/20121008062012/http://www.newtonproject.sussex.ac.uk/prism.php?id=43 |date=8 October 2012 }}
* {{Webarchive|url=https://web.archive.org/web/20180928003316/https://makingscience.royalsociety.org/s/rs/people/fst01801333 |date=28 September 2018 }}
* {{Webarchive|url=https://web.archive.org/web/20141230155741/http://web.nli.org.il/sites/nli/english/collections/humanities/pages/newton.aspx |date=30 December 2014 }}
* {{Gutenberg author |id=6288| name=Isaac Newton}}
* {{Internet Archive author |sname=Isaac Newton}}
* {{Librivox author |id=2836}}
* {{Webarchive|url=https://web.archive.org/web/20120111150235/http://cudl.lib.cam.ac.uk/collections/newton |date=11 January 2012 }}&nbsp;– Cambridge Digital Library

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Latest revision as of 22:11, 27 December 2024

English polymath (1642–1726) For other uses, see Isaac Newton (disambiguation).

Sir Isaac NewtonFRS
Portrait of Newton, a white man with white hair and a brown robe, sitting with his hands foldedPortrait of Newton at 46, 1689
Born(1643-01-04)4 January 1643 [O.S. 25 December 1642]
Woolsthorpe-by-Colsterworth, Lincolnshire, England
Died31 March 1727(1727-03-31) (aged 84) [O.S. 20 March 1726]
Kensington, Middlesex, England
Resting placeWestminster Abbey
EducationTrinity College, Cambridge (BA, 1665; MA, 1668)
Known for List
Political partyWhig
Awards
Scientific career
Fields
Institutions
Academic advisors
Notable students
Member of Parliament
for the University of Cambridge
In office
1689–1690
Preceded byRobert Brady
Succeeded byEdward Finch
In office
1701–1702
Preceded byAnthony Hammond
Succeeded byArthur Annesley, 5th Earl of Anglesey
12th President of the Royal Society
In office
1703–1727
Preceded byJohn Somers
Succeeded byHans Sloane
Master of the Mint
In office
1699–1727
1696–1699Warden of the Mint
Preceded byThomas Neale
Succeeded byJohn Conduitt
2nd Lucasian Professor of Mathematics
In office
1669–1702
Preceded byIsaac Barrow
Succeeded byWilliam Whiston
Signature

Sir Isaac Newton (25 December 1642 – 20 March 1726/27) was an English polymath active as a mathematician, physicist, astronomer, alchemist, theologian, and author who was described in his time as a natural philosopher. Newton was a key figure in the Scientific Revolution and the Enlightenment that followed. Newton's book Philosophiæ Naturalis Principia Mathematica (Mathematical Principles of Natural Philosophy), first published in 1687, achieved the first great unification in physics and established classical mechanics. Newton also made seminal contributions to optics, and shares credit with German mathematician Gottfried Wilhelm Leibniz for formulating infinitesimal calculus, though he developed calculus years before Leibniz. He contributed to and refined the scientific method, and his work is considered the most influential in bringing forth modern science.

In the Principia, Newton formulated the laws of motion and universal gravitation that formed the dominant scientific viewpoint for centuries until it was superseded by the theory of relativity. He used his mathematical description of gravity to derive Kepler's laws of planetary motion, account for tides, the trajectories of comets, the precession of the equinoxes and other phenomena, eradicating doubt about the Solar System's heliocentricity. Newton solved the two-body problem, and introduced the three-body problem. He demonstrated that the motion of objects on Earth and celestial bodies could be accounted for by the same principles. Newton's inference that the Earth is an oblate spheroid was later confirmed by the geodetic measurements of Maupertuis, La Condamine, and others, thereby convincing most European scientists of the superiority of Newtonian mechanics over earlier systems.

Newton built the first reflecting telescope and developed a sophisticated theory of colour based on the observation that a prism separates white light into the colours of the visible spectrum. His work on light was collected in his influential book Opticks, published in 1704. He formulated an empirical law of cooling, which was the first heat transfer formulation and serves as the formal basis of convective heat transfer, made the first theoretical calculation of the speed of sound, and introduced the notions of a Newtonian fluid and a black body. Furthermore, he made early investigations into electricity, with an idea from his book Opticks arguably the beginning of the field theory of the electric force. In addition to his creation of calculus, as a mathematician, he generalized the binomial theorem to any real number, contributed to the study of power series, developed a method for approximating the roots of a function, classified most of the cubic plane curves, and also originated the Newton-Cotes formulas for numerical integration. He further devised an early form of regression analysis.

Newton was a fellow of Trinity College and the second Lucasian Professor of Mathematics at the University of Cambridge; he was appointed at the age of 26. He was a devout but unorthodox Christian who privately rejected the doctrine of the Trinity. He refused to take holy orders in the Church of England, unlike most members of the Cambridge faculty of the day. Beyond his work on the mathematical sciences, Newton dedicated much of his time to the study of alchemy and biblical chronology, but most of his work in those areas remained unpublished until long after his death. Politically and personally tied to the Whig party, Newton served two brief terms as Member of Parliament for the University of Cambridge, in 1689–1690 and 1701–1702. He was knighted by Queen Anne in 1705 and spent the last three decades of his life in London, serving as Warden (1696–1699) and Master (1699–1727) of the Royal Mint, in which he increased the accuracy and security of British coinage, as well as president of the Royal Society (1703–1727).

Early life

Main article: Early life of Isaac Newton

Isaac Newton was born (according to the Julian calendar in use in England at the time) on Christmas Day, 25 December 1642 (NS 4 January 1643) at Woolsthorpe Manor in Woolsthorpe-by-Colsterworth, a hamlet in the county of Lincolnshire. His father, also named Isaac Newton, had died three months before. Born prematurely, Newton was a small child; his mother Hannah Ayscough reportedly said that he could have fit inside a quart mug. When Newton was three, his mother remarried and went to live with her new husband, the Reverend Barnabas Smith, leaving her son in the care of his maternal grandmother, Margery Ayscough (née Blythe). Newton disliked his stepfather and maintained some enmity towards his mother for marrying him, as revealed by this entry in a list of sins committed up to the age of 19: "Threatening my father and mother Smith to burn them and the house over them." Newton's mother had three children (Mary, Benjamin, and Hannah) from her second marriage.

The King's School

From the age of about twelve until he was seventeen, Newton was educated at The King's School in Grantham, which taught Latin and Ancient Greek and probably imparted a significant foundation of mathematics. He was removed from school by his mother and returned to Woolsthorpe-by-Colsterworth by October 1659. His mother, widowed for the second time, attempted to make him a farmer, an occupation he hated. Henry Stokes, master at The King's School, persuaded his mother to send him back to school. Motivated partly by a desire for revenge against a schoolyard bully, he became the top-ranked student, distinguishing himself mainly by building sundials and models of windmills.

University of Cambridge

In June 1661, Newton was admitted to Trinity College at the University of Cambridge. His uncle the Reverend William Ayscough, who had studied at Cambridge, recommended him to the university. At Cambridge, Newton started as a subsizar, paying his way by performing valet duties until he was awarded a scholarship in 1664, which covered his university costs for four more years until the completion of his MA. At the time, Cambridge's teachings were based on those of Aristotle, whom Newton read along with then more modern philosophers, including Descartes and astronomers such as Galileo Galilei and Thomas Street. He set down in his notebook a series of "Quaestiones" about mechanical philosophy as he found it. In 1665, he discovered the generalised binomial theorem and began to develop a mathematical theory that later became calculus. Soon after Newton obtained his BA degree at Cambridge in August 1665, the university temporarily closed as a precaution against the Great Plague.

Although he had been undistinguished as a Cambridge student, his private studies and the years following his bachelor's degree have been described as "the richest and most productive ever experienced by a scientist". The next two years alone saw the development of theories on calculus, optics, and the law of gravitation, at his home in Woolsthorpe.

In April 1667, Newton returned to the University of Cambridge, and in October he was elected as a fellow of Trinity. Fellows were required to take holy orders and be ordained as Anglican priests, although this was not enforced in the Restoration years, and an assertion of conformity to the Church of England was sufficient. He made the commitment that "I will either set Theology as the object of my studies and will take holy orders when the time prescribed by these statutes arrives, or I will resign from the college." Up until this point he had not thought much about religion and had twice signed his agreement to the Thirty-nine Articles, the basis of Church of England doctrine. By 1675 the issue could not be avoided, and by then his unconventional views stood in the way.

His academic work impressed the Lucasian professor Isaac Barrow, who was anxious to develop his own religious and administrative potential (he became master of Trinity College two years later); in 1669, Newton succeeded him, only one year after receiving his MA. Newton argued that this should exempt him from the ordination requirement, and King Charles II, whose permission was needed, accepted this argument; thus, a conflict between Newton's religious views and Anglican orthodoxy was averted. He was appointed at the age of 26.

Some of the figures added by Isaac Newton in his 1672 and 1681 editions of the Geographia Generalis. These figures appeared in subsequent editions as well.

The Lucasian Professor of Mathematics at Cambridge position included the responsibility of instructing geography. In 1672, and again in 1681, Newton published a revised, corrected, and amended edition of the Geographia Generalis, a geography textbook first published in 1650 by the then-deceased Bernhardus Varenius. In the Geographia Generalis, Varenius attempted to create a theoretical foundation linking scientific principles to classical concepts in geography, and considered geography to be a mix between science and pure mathematics applied to quantifying features of the Earth. While it is unclear if Newton ever lectured in geography, the 1733 Dugdale and Shaw English translation of the book stated Newton published the book to be read by students while he lectured on the subject. The Geographia Generalis is viewed by some as the dividing line between ancient and modern traditions in the history of geography, and Newton's involvement in the subsequent editions is thought to be a large part of the reason for this enduring legacy.

Newton was elected a Fellow of the Royal Society (FRS) in 1672.

Mid-life

Calculus

Newton's work has been said "to distinctly advance every branch of mathematics then studied". His work on the subject, usually referred to as fluxions or calculus, seen in a manuscript of October 1666, is now published among Newton's mathematical papers. His work De analysi per aequationes numero terminorum infinitas, sent by Isaac Barrow to John Collins in June 1669, was identified by Barrow in a letter sent to Collins that August as the work "of an extraordinary genius and proficiency in these things". Newton later became involved in a dispute with Leibniz over priority in the development of calculus. Most modern historians believe that Newton and Leibniz developed calculus independently, although with very different mathematical notations. However, it is established that Newton came to develop calculus much earlier than Leibniz. Leibniz's notation and "differential method", nowadays recognised as much more convenient notations, were adopted by continental European mathematicians, and after 1820, also by British mathematicians. It has been noted that despite the convenience of Leibniz's notation, Newton's notation could still have been used to develop multivariate techniques, with his dot notation still widely used in physics. Some academics have noted the richness and depth of Newton's work, such as physicist Roger Penrose, stating "in most cases Newton’s geometrical methods are not only more concise and elegant, they reveal deeper principles than would become evident by the use of those formal methods of calculus that nowadays would seem more direct." Mathematician Vladimir Arnold states "Comparing the texts of Newton with the comments of his successors, it is striking how Newton’s original presentation is more modern, more understandable and richer in ideas than the translation due to commentators of his geometrical ideas into the formal language of the calculus of Leibniz."

His work extensively uses calculus in geometric form based on limiting values of the ratios of vanishingly small quantities: in the Principia itself, Newton gave demonstration of this under the name of "the method of first and last ratios" and explained why he put his expositions in this form, remarking also that "hereby the same thing is performed as by the method of indivisibles." Because of this, the Principia has been called "a book dense with the theory and application of the infinitesimal calculus" in modern times and in Newton's time "nearly all of it is of this calculus." His use of methods involving "one or more orders of the infinitesimally small" is present in his De motu corporum in gyrum of 1684 and in his papers on motion "during the two decades preceding 1684".

Newton in 1702 by Godfrey Kneller

Newton had been reluctant to publish his calculus because he feared controversy and criticism. He was close to the Swiss mathematician Nicolas Fatio de Duillier. In 1691, Duillier started to write a new version of Newton's Principia, and corresponded with Leibniz. In 1693, the relationship between Duillier and Newton deteriorated and the book was never completed. Starting in 1699, Duillier accused Leibniz of plagiarism. Mathematician John Keill accused Leibniz of plagiarism in 1708 in the Royal Society journal, thereby deteriorating the situation even more. The dispute then broke out in full force in 1711 when the Royal Society proclaimed in a study that it was Newton who was the true discoverer and labelled Leibniz a fraud; it was later found that Newton wrote the study's concluding remarks on Leibniz. Thus began the bitter controversy which marred the lives of both men until Leibniz's death in 1716.

Newton is generally credited with the generalised binomial theorem, valid for any exponent. He discovered Newton's identities, Newton's method, classified cubic plane curves (polynomials of degree three in two variables), made substantial contributions to the theory of finite differences, with him regarded as "the single most significant contributor to finite difference interpolation", with many formulas created by Newton. Newton was also the first to use fractional indices and to employ coordinate geometry to derive solutions to Diophantine equations. He approximated partial sums of the harmonic series by logarithms (a precursor to Euler's summation formula) and was the first to use power series with confidence and to revert power series. His work on infinite series was inspired by Simon Stevin's decimals.

Optics

A replica of the reflecting telescope Newton presented to the Royal Society in 1672 (the first one he made in 1668 was loaned to an instrument maker but there is no further record of what happened to it).

In 1666, Newton observed that the spectrum of colours exiting a prism in the position of minimum deviation is oblong, even when the light ray entering the prism is circular, which is to say, the prism refracts different colours by different angles. This led him to conclude that colour is a property intrinsic to light – a point which had, until then, been a matter of debate.

From 1670 to 1672, Newton lectured on optics. During this period he investigated the refraction of light, demonstrating that the multicoloured image produced by a prism, which he named a spectrum, could be recomposed into white light by a lens and a second prism. Modern scholarship has revealed that Newton's analysis and resynthesis of white light owes a debt to corpuscular alchemy.

In his work on Newton's rings in 1671, he used a method that was unprecedented in the 17th century, as "he averaged all of the differences, and he then calculated the difference between the average and the value for the first ring", in effect introducing a now standard method for reducing noise in measurements, and which does not appear elsewhere at the time. He extended his "error-slaying method" to studies of equinoxes in 1700, which was described as an "altogether unprecedented method" but differed in that here "Newton required good values for each of the original equinoctial times, and so he devised a method that allowed them to, as it were, self-correct." Newton is credited with introducing "an embryonic linear regression analysis. Not only did he perform the averaging of a set of data, 50 years before Tobias Mayer, but summing the residuals to zero he forced the regression line to pass through the average point". Newton also "distinguished between two inhomogeneous sets of data and might have thought of an optimal solution in terms of bias, though not in terms of effectiveness".

He showed that coloured light does not change its properties by separating out a coloured beam and shining it on various objects, and that regardless of whether reflected, scattered, or transmitted, the light remains the same colour. Thus, he observed that colour is the result of objects interacting with already-coloured light rather than objects generating the colour themselves. This is known as Newton's theory of colour.

Illustration of a dispersive prism separating white light into the colours of the spectrum, as discovered by Newton

From this work, he concluded that the lens of any refracting telescope would suffer from the dispersion of light into colours (chromatic aberration). As a proof of the concept, he constructed a telescope using reflective mirrors instead of lenses as the objective to bypass that problem. Building the design, the first known functional reflecting telescope, today known as a Newtonian telescope, involved solving the problem of a suitable mirror material and shaping technique. Newton ground his own mirrors out of a custom composition of highly reflective speculum metal, using Newton's rings to judge the quality of the optics for his telescopes. In late 1668, he was able to produce this first reflecting telescope. It was about eight inches long and it gave a clearer and larger image. In 1671, the Royal Society asked for a demonstration of his reflecting telescope. Their interest encouraged him to publish his notes, Of Colours, which he later expanded into the work Opticks. When Robert Hooke criticised some of Newton's ideas, Newton was so offended that he withdrew from public debate. Newton and Hooke had brief exchanges in 1679–80, when Hooke, appointed to manage the Royal Society's correspondence, opened up a correspondence intended to elicit contributions from Newton to Royal Society transactions, which had the effect of stimulating Newton to work out a proof that the elliptical form of planetary orbits would result from a centripetal force inversely proportional to the square of the radius vector. The two men remained generally on poor terms until Hooke's death.

Facsimile of a 1682 letter from Newton to William Briggs, commenting on Briggs' A New Theory of Vision

Newton argued that light is composed of particles or corpuscles, which were refracted by accelerating into a denser medium. He verged on soundlike waves to explain the repeated pattern of reflection and transmission by thin films (Opticks Bk. II, Props. 12), but still retained his theory of 'fits' that disposed corpuscles to be reflected or transmitted (Props.13). However, later physicists favoured a purely wavelike explanation of light to account for the interference patterns and the general phenomenon of diffraction. Today's quantum mechanics, photons, and the idea of wave–particle duality bear only a minor resemblance to Newton's understanding of light.

In his Hypothesis of Light of 1675, Newton posited the existence of the ether to transmit forces between particles. The contact with the Cambridge Platonist philosopher Henry More revived his interest in alchemy. He replaced the ether with occult forces based on Hermetic ideas of attraction and repulsion between particles. His contributions to science cannot be isolated from his interest in alchemy. This was at a time when there was no clear distinction between alchemy and science.

In 1704, Newton published Opticks, in which he expounded his corpuscular theory of light, and included a set of queries at the end. He considered light to be made up of extremely subtle corpuscles, that ordinary matter was made of grosser corpuscles and speculated that through a kind of alchemical transmutation "Are not gross Bodies and Light convertible into one another, ... and may not Bodies receive much of their Activity from the Particles of Light which enter their Composition?" He also constructed a primitive form of a frictional electrostatic generator, using a glass globe.

In his book Opticks, Newton was the first to show a diagram using a prism as a beam expander, and also the use of multiple-prism arrays. Some 278 years after Newton's discussion, multiple-prism beam expanders became central to the development of narrow-linewidth tunable lasers. Also, the use of these prismatic beam expanders led to the multiple-prism dispersion theory.

Subsequent to Newton, much has been amended. Young and Fresnel discarded Newton's particle theory in favour of Huygens' wave theory to show that colour is the visible manifestation of light's wavelength. Science also slowly came to realise the difference between perception of colour and mathematisable optics. The German poet and scientist, Goethe, could not shake the Newtonian foundation but "one hole Goethe did find in Newton's armour, ... Newton had committed himself to the doctrine that refraction without colour was impossible. He, therefore, thought that the object-glasses of telescopes must forever remain imperfect, achromatism and refraction being incompatible. This inference was proved by Dollond to be wrong."

Engraving of Portrait of Newton by John Vanderbank

Gravity

Newton's own copy of Principia with Newton's hand-written corrections for the second edition, now housed in the Wren Library at Trinity College, Cambridge

Newton had been developing his theory of gravitation as far back as 1665. In 1679, Newton returned to his work on celestial mechanics by considering gravitation and its effect on the orbits of planets with reference to Kepler's laws of planetary motion. This followed stimulation by a brief exchange of letters in 1679–80 with Hooke, who had been appointed Secretary of the Royal Society, and who opened a correspondence intended to elicit contributions from Newton to Royal Society transactions. Newton's reawakening interest in astronomical matters received further stimulus by the appearance of a comet in the winter of 1680–1681, on which he corresponded with John Flamsteed. After the exchanges with Hooke, Newton worked out a proof that the elliptical form of planetary orbits would result from a centripetal force inversely proportional to the square of the radius vector. Newton communicated his results to Edmond Halley and to the Royal Society in De motu corporum in gyrum, a tract written on about nine sheets which was copied into the Royal Society's Register Book in December 1684. This tract contained the nucleus that Newton developed and expanded to form the Principia.

The Principia was published on 5 July 1687 with encouragement and financial help from Halley. In this work, Newton stated the three universal laws of motion. Together, these laws describe the relationship between any object, the forces acting upon it and the resulting motion, laying the foundation for classical mechanics. They contributed to many advances during the Industrial Revolution which soon followed and were not improved upon for more than 200 years. Many of these advances continue to be the underpinnings of non-relativistic technologies in the modern world. He used the Latin word gravitas (weight) for the effect that would become known as gravity, and defined the law of universal gravitation.

In the same work, Newton presented a calculus-like method of geometrical analysis using 'first and last ratios', gave the first analytical determination (based on Boyle's law) of the speed of sound in air, inferred the oblateness of Earth's spheroidal figure, accounted for the precession of the equinoxes as a result of the Moon's gravitational attraction on the Earth's oblateness, initiated the gravitational study of the irregularities in the motion of the Moon, provided a theory for the determination of the orbits of comets, and much more. Newton's biographer David Brewster reported that the complexity of applying his theory of gravity to the motion of the moon was so great it affected Newton's health: "e was deprived of his appetite and sleep" during his work on the problem in 1692–93, and told the astronomer John Machin that "his head never ached but when he was studying the subject". According to Brewster, Edmund Halley also told John Conduitt that when pressed to complete his analysis Newton "always replied that it made his head ache, and kept him awake so often, that he would think of it no more".

Newton made clear his heliocentric view of the Solar System—developed in a somewhat modern way because already in the mid-1680s he recognised the "deviation of the Sun" from the centre of gravity of the Solar System. For Newton, it was not precisely the centre of the Sun or any other body that could be considered at rest, but rather "the common centre of gravity of the Earth, the Sun and all the Planets is to be esteem'd the Centre of the World", and this centre of gravity "either is at rest or moves uniformly forward in a right line". (Newton adopted the "at rest" alternative in view of common consent that the centre, wherever it was, was at rest.)

Newton was criticised for introducing "occult agencies" into science because of his postulate of an invisible force able to act over vast distances. Later, in the second edition of the Principia (1713), Newton firmly rejected such criticisms in a concluding General Scholium, writing that it was enough that the phenomena implied a gravitational attraction, as they did; but they did not so far indicate its cause, and it was both unnecessary and improper to frame hypotheses of things that were not implied by the phenomena. (Here Newton used what became his famous expression "Hypotheses non fingo".)

With the Principia, Newton became internationally recognised. He acquired a circle of admirers, including the Swiss-born mathematician Nicolas Fatio de Duillier.

In 1710, Newton found 72 of the 78 "species" of cubic curves and categorised them into four types. In 1717, and probably with Newton's help, James Stirling proved that every cubic was one of these four types. Newton also claimed that the four types could be obtained by plane projection from one of them, and this was proved in 1731, four years after his death.

Philosophy of Science

Starting with the second edition of his Principia, Newton included a final section on science philosophy or method. It was here that he wrote his famous line, in Latin, "hypotheses non fingo", which can be translated as "I don't make hypotheses," (the direct translation of "fingo" is "frame", but in context he was advocating against the use of hypotheses in science). He went on to posit that if there is no data to explain a finding, one should simply wait for that data, rather than guessing at an explanation. The full quote, translated from that section is, "Hitherto I have not been able to discover the cause of those properties of gravity from phenomena, and I frame no hypotheses, for whatever is not deduced from the phenomena is to be called an hypothesis; and hypotheses, whether metaphysical or physical, whether of occult qualities or mechanical, have no place in experimental philosophy. In this philosophy particular propositions are inferred from the phenomena, and afterwards rendered general by induction. Thus it was that the impenetrability, the mobility, and the impulsive force of bodies, and the laws of motion and of gravitation, were discovered. And to us it is enough that gravity does really exist, and act according to the laws which we have explained, and abundantly serves to account for all the motions of the celestial bodies, and of our sea."

This idea that Newton became anti-hypothesis has been disputed, since earlier editions of the Principia were in fact divided in sections headed by hypotheses. However, he seems to have gone away from that, as evidenced from his famous line in his "Opticks", where he wrote, in English, "Hypotheses have no place in experimental science."

These ideas are in line with the scientific philosophy of Francis Bacon, who advocated for an inductive, or data-drivien, approach to science.

Later life

Further information: Later life of Isaac Newton

Royal Mint

Isaac Newton in old age in 1712, portrait by Sir James Thornhill

In the 1690s, Newton wrote a number of religious tracts dealing with the literal and symbolic interpretation of the Bible. A manuscript Newton sent to John Locke in which he disputed the fidelity of 1 John 5:7—the Johannine Comma—and its fidelity to the original manuscripts of the New Testament, remained unpublished until 1785.

Newton was also a member of the Parliament of England for Cambridge University in 1689 and 1701, but according to some accounts his only comments were to complain about a cold draught in the chamber and request that the window be closed. He was, however, noted by Cambridge diarist Abraham de la Pryme to have rebuked students who were frightening locals by claiming that a house was haunted.

Newton moved to London to take up the post of warden of the Royal Mint during the reign of King William III in 1696, a position that he had obtained through the patronage of Charles Montagu, 1st Earl of Halifax, then Chancellor of the Exchequer. He took charge of England's great recoining, trod on the toes of Lord Lucas, Governor of the Tower, and secured the job of deputy comptroller of the temporary Chester branch for Edmond Halley. Newton became perhaps the best-known Master of the Mint upon the death of Thomas Neale in 1699, a position he held for the last 30 years of his life. These appointments were intended as sinecures, but Newton took them seriously. He retired from his Cambridge duties in 1701, and exercised his authority to reform the currency and punish clippers and counterfeiters.

As Warden, and afterwards as Master, of the Royal Mint, Newton estimated that 20 percent of the coins taken in during the Great Recoinage of 1696 were counterfeit. Counterfeiting was high treason, punishable by the felon being hanged, drawn and quartered. Despite this, convicting even the most flagrant criminals could be extremely difficult, but Newton proved equal to the task.

Disguised as a habitué of bars and taverns, he gathered much of that evidence himself. For all the barriers placed to prosecution, and separating the branches of government, English law still had ancient and formidable customs of authority. Newton had himself made a justice of the peace in all the home counties. A draft letter regarding the matter is included in Newton's personal first edition of Philosophiæ Naturalis Principia Mathematica, which he must have been amending at the time. Then he conducted more than 100 cross-examinations of witnesses, informers, and suspects between June 1698 and Christmas 1699. He successfully prosecuted 28 coiners, including serial counterfeiter William Chaloner, who was subsequently hanged.

Coat of arms of the Newton family of Great Gonerby, Lincolnshire, afterwards used by Sir Isaac

Newton was made president of the Royal Society in 1703 and an associate of the French Académie des Sciences. In his position at the Royal Society, Newton made an enemy of John Flamsteed, the Astronomer Royal, by prematurely publishing Flamsteed's Historia Coelestis Britannica, which Newton had used in his studies.

Knighthood

In April 1705, Queen Anne knighted Newton during a royal visit to Trinity College, Cambridge. The knighthood is likely to have been motivated by political considerations connected with the parliamentary election in May 1705, rather than any recognition of Newton's scientific work or services as Master of the Mint. Newton was the second scientist to be knighted, after Francis Bacon.

As a result of a report written by Newton on 21 September 1717 to the Lords Commissioners of His Majesty's Treasury, the bimetallic relationship between gold coins and silver coins was changed by royal proclamation on 22 December 1717, forbidding the exchange of gold guineas for more than 21 silver shillings. This inadvertently resulted in a silver shortage as silver coins were used to pay for imports, while exports were paid for in gold, effectively moving Britain from the silver standard to its first gold standard. It is a matter of debate as to whether he intended to do this or not. It has been argued that Newton conceived of his work at the Mint as a continuation of his alchemical work.

Newton was invested in the South Sea Company and lost some £20,000 (£4.4 million in 2020) when it collapsed in around 1720.

Toward the end of his life, Newton took up residence at Cranbury Park, near Winchester, with his niece and her husband, until his death. His half-niece, Catherine Barton, served as his hostess in social affairs at his house on Jermyn Street in London; he was her "very loving Uncle", according to his letter to her when she was recovering from smallpox.

Death

Isaac Newton's death mask
Death mask of Newton, photographed c. 1906

Newton died in his sleep in London on 20 March 1727 (OS 20 March 1726; NS 31 March 1727). He was given a ceremonial funeral, attended by nobles, scientists, and philosophers, and was buried in Westminster Abbey among kings and queens. He was the first scientist to be buried in the abbey. Voltaire may have been present at his funeral. A bachelor, he had divested much of his estate to relatives during his last years, and died intestate. His papers went to John Conduitt and Catherine Barton.

Shortly after his death, a plaster death mask was moulded of Newton. It was used by Flemish sculptor John Michael Rysbrack in making a sculpture of Newton. It is now held by the Royal Society, who created a 3D scan of it in 2012.

Newton's hair was posthumously examined and found to contain mercury, probably resulting from his alchemical pursuits. Mercury poisoning could explain Newton's eccentricity in late life.

Personality

Although it was claimed that he was once engaged, Newton never married. The French writer and philosopher Voltaire, who was in London at the time of Newton's funeral, said that he "was never sensible to any passion, was not subject to the common frailties of mankind, nor had any commerce with women—a circumstance which was assured me by the physician and surgeon who attended him in his last moments.” There exists a widespread belief that Newton died a virgin, and writers as diverse as mathematician Charles Hutton, economist John Maynard Keynes, and physicist Carl Sagan have commented on it.

Newton had a close friendship with the Swiss mathematician Nicolas Fatio de Duillier, whom he met in London around 1689; some of their correspondence has survived. Their relationship came to an abrupt and unexplained end in 1693, and at the same time Newton suffered a nervous breakdown, which included sending wild accusatory letters to his friends Samuel Pepys and John Locke. His note to the latter included the charge that Locke had endeavoured to "embroil" him with "woemen & by other means".

Newton appeared to be relatively modest about his achievements, writing in a later memoir, "I do not know what I may appear to the world, but to myself I seem to have been only like a boy playing on the sea-shore, and diverting myself in now and then finding a smoother pebble or a prettier shell than ordinary, whilst the great ocean of truth lay all undiscovered before me." Nonetheless, he could be fiercely competitive and did on occasion hold grudges against his intellectual rivals, not abstaining from personal attacks when it suited him—a common trait found in many of his contemporaries. In a letter to Robert Hooke in February 1676, for instance, he confessed "If I have seen further it is by standing on the shoulders of giants." Some historians argued that this, written at a time when Newton and Hooke were disputing over optical discoveries, was an oblique attack on Hooke who was presumably short and hunchbacked, rather than (or in addition to) a statement of modesty. On the other hand, the widely known proverb about standing on the shoulders of giants, found in 17th century poet George Herbert's Jacula Prudentum (1651) among others, had as its main point that "a dwarf on a giant's shoulders sees farther of the two", and so in effect place Newton himself rather than Hooke as the 'dwarf' who saw farther.

Theology

Religious views

Main articles: Religious views of Isaac Newton and Isaac Newton's occult studies

Although born into an Anglican family, by his thirties Newton held a Christian faith that, had it been made public, would not have been considered orthodox by mainstream Christianity, with historian Stephen Snobelen labelling him a heretic.

By 1672, he had started to record his theological researches in notebooks which he showed to no one and which have only been available for public examination since 1972. Over half of what Newton wrote concerned theology and alchemy, and most has never been printed. His writings demonstrate an extensive knowledge of early Church writings and show that in the conflict between Athanasius and Arius which defined the Creed, he took the side of Arius, the loser, who rejected the conventional view of the Trinity. Newton "recognized Christ as a divine mediator between God and man, who was subordinate to the Father who created him." He was especially interested in prophecy, but for him, "the great apostasy was trinitarianism."

Newton tried unsuccessfully to obtain one of the two fellowships that exempted the holder from the ordination requirement. At the last moment in 1675 he received a dispensation from the government that excused him and all future holders of the Lucasian chair.

Worshipping Jesus Christ as God was, in Newton's eyes, idolatry, an act he believed to be the fundamental sin. In 1999, Snobelen wrote, "Isaac Newton was a heretic. But ... he never made a public declaration of his private faith—which the orthodox would have deemed extremely radical. He hid his faith so well that scholars are still unraveling his personal beliefs." Snobelen concludes that Newton was at least a Socinian sympathiser (he owned and had thoroughly read at least eight Socinian books), possibly an Arian and almost certainly an anti-trinitarian.

Newton (1795, detail) by William Blake. Newton is depicted critically as a "divine geometer".

Although the laws of motion and universal gravitation became Newton's best-known discoveries, he warned against using them to view the Universe as a mere machine, as if akin to a great clock. He said, "So then gravity may put the planets into motion, but without the Divine Power it could never put them into such a circulating motion, as they have about the sun".

Along with his scientific fame, Newton's studies of the Bible and of the early Church Fathers were also noteworthy. Newton wrote works on textual criticism, most notably An Historical Account of Two Notable Corruptions of Scripture and Observations upon the Prophecies of Daniel, and the Apocalypse of St. John. He placed the crucifixion of Jesus Christ at 3 April, AD 33, which agrees with one traditionally accepted date.

He believed in a rationally immanent world, but he rejected the hylozoism implicit in Leibniz and Baruch Spinoza. The ordered and dynamically informed Universe could be understood, and must be understood, by an active reason. In his correspondence, Newton claimed that in writing the Principia "I had an eye upon such Principles as might work with considering men for the belief of a Deity". He saw evidence of design in the system of the world: "Such a wonderful uniformity in the planetary system must be allowed the effect of choice". But Newton insisted that divine intervention would eventually be required to reform the system, due to the slow growth of instabilities. For this, Leibniz lampooned him: "God Almighty wants to wind up his watch from time to time: otherwise it would cease to move. He had not, it seems, sufficient foresight to make it a perpetual motion."

Newton's position was vigorously defended by his follower Samuel Clarke in a famous correspondence. A century later, Pierre-Simon Laplace's work Celestial Mechanics had a natural explanation for why the planet orbits do not require periodic divine intervention. The contrast between Laplace's mechanistic worldview and Newton's one is the most strident considering the famous answer which the French scientist gave Napoleon, who had criticised him for the absence of the Creator in the Mécanique céleste: "Sire, j'ai pu me passer de cette hypothèse" ("Sir, I didn't need this hypothesis").

Scholars long debated whether Newton disputed the doctrine of the Trinity. His first biographer, David Brewster, who compiled his manuscripts, interpreted Newton as questioning the veracity of some passages used to support the Trinity, but never denying the doctrine of the Trinity as such. In the twentieth century, encrypted manuscripts written by Newton and bought by John Maynard Keynes (among others) were deciphered and it became known that Newton did indeed reject Trinitarianism.

Religious thought

Newton and Robert Boyle's approach to the mechanical philosophy was promoted by rationalist pamphleteers as a viable alternative to the pantheists and enthusiasts, and was accepted hesitantly by orthodox preachers as well as dissident preachers like the latitudinarians. The clarity and simplicity of science was seen as a way to combat the emotional and metaphysical superlatives of both superstitious enthusiasm and the threat of atheism, and at the same time, the second wave of English deists used Newton's discoveries to demonstrate the possibility of a "Natural Religion".

The attacks made against pre-Enlightenment "magical thinking", and the mystical elements of Christianity, were given their foundation with Boyle's mechanical conception of the universe. Newton gave Boyle's ideas their completion through mathematical proofs and, perhaps more importantly, was very successful in popularising them.

Alchemy

Newton was not the first of the age of reason. He was the last of the magicians, the last of the Babylonians and Sumerians, the last great mind which looked out on the visible and intellectual world with the same eyes as those who began to build our intellectual inheritance rather less than 10,000 years ago. Isaac Newton, a posthumous child born with no father on Christmas Day, 1642, was the last wonderchild to whom the Magi could do sincere and appropriate homage.

John Maynard Keynes, "Newton, the Man"

Of an estimated ten million words of writing in Newton's papers, about one million deal with alchemy. Many of Newton's writings on alchemy are copies of other manuscripts, with his own annotations. Alchemical texts mix artisanal knowledge with philosophical speculation, often hidden behind layers of wordplay, allegory, and imagery to protect craft secrets. Some of the content contained in Newton's papers could have been considered heretical by the church.

In 1888, after spending sixteen years cataloguing Newton's papers, Cambridge University kept a small number and returned the rest to the Earl of Portsmouth. In 1936, a descendant offered the papers for sale at Sotheby's. The collection was broken up and sold for a total of about £9,000. John Maynard Keynes was one of about three dozen bidders who obtained part of the collection at auction. Keynes went on to reassemble an estimated half of Newton's collection of papers on alchemy before donating his collection to Cambridge University in 1946.

All of Newton's known writings on alchemy are currently being put online in a project undertaken by Indiana University: "The Chymistry of Isaac Newton" and summarised in a book.

Newton's fundamental contributions to science include the quantification of gravitational attraction, the discovery that white light is actually a mixture of immutable spectral colors, and the formulation of the calculus. Yet there is another, more mysterious side to Newton that is imperfectly known, a realm of activity that spanned some thirty years of his life, although he kept it largely hidden from his contemporaries and colleagues. We refer to Newton's involvement in the discipline of alchemy, or as it was often called in seventeenth-century England, "chymistry."

In June 2020, two unpublished pages of Newton's notes on Jan Baptist van Helmont's book on plague, De Peste, were being auctioned online by Bonhams. Newton's analysis of this book, which he made in Cambridge while protecting himself from London's 1665–1666 infection, is the most substantial written statement he is known to have made about the plague, according to Bonhams. As far as the therapy is concerned, Newton writes that "the best is a toad suspended by the legs in a chimney for three days, which at last vomited up earth with various insects in it, on to a dish of yellow wax, and shortly after died. Combining powdered toad with the excretions and serum made into lozenges and worn about the affected area drove away the contagion and drew out the poison".

Legacy

See also: Isaac Newton in popular culture

Recognition

Newton's tomb monument in Westminster Abbey by John Michael Rysbrack

The mathematician and astronomer Joseph-Louis Lagrange frequently asserted that Newton was the greatest genius who ever lived, and once added that Newton was also "the most fortunate, for we cannot find more than once a system of the world to establish." English poet Alexander Pope wrote the famous epitaph:

Nature, and Nature's laws lay hid in night.
God said, Let Newton be! and all was light.

But this was not allowed to be inscribed in Newton's monument at Westminster. The epitaph added is as follows:

H. S. E. ISAACUS NEWTON Eques Auratus, / Qui, animi vi prope divinâ, / Planetarum Motus, Figuras, / Cometarum semitas, Oceanique Aestus. Suâ Mathesi facem praeferente / Primus demonstravit: / Radiorum Lucis dissimilitudines, / Colorumque inde nascentium proprietates, / Quas nemo antea vel suspicatus erat, pervestigavit. / Naturae, Antiquitatis, S. Scripturae, / Sedulus, sagax, fidus Interpres / Dei O. M. Majestatem Philosophiâ asseruit, / Evangelij Simplicitatem Moribus expressit. / Sibi gratulentur Mortales, / Tale tantumque exstitisse / HUMANI GENERIS DECUS. / NAT. XXV DEC. A.D. MDCXLII. OBIIT. XX. MAR. MDCCXXVI,

which can be translated as follows:

Here is buried Isaac Newton, Knight, who by a strength of mind almost divine, and mathematical principles peculiarly his own, explored the course and figures of the planets, the paths of comets, the tides of the sea, the dissimilarities in rays of light, and, what no other scholar has previously imagined, the properties of the colours thus produced. Diligent, sagacious and faithful, in his expositions of nature, antiquity and the holy Scriptures, he vindicated by his philosophy the majesty of God mighty and good, and expressed the simplicity of the Gospel in his manners. Mortals rejoice that there has existed such and so great an ornament of the human race! He was born on 25th December 1642, and died on 20th March 1726.

Newton has been called "the most influential figure in the history of Western science", and has been regarded as "the central figure in the history of science", who "more than anyone else is the source of our great confidence in the power of science." New Scientist called Newton "the supreme genius and most enigmatic character in the history of science". The philosopher and historian David Hume also declared that Newton was "the greatest and rarest genius that ever arose for the ornament and instruction of the species". In his home of Monticello, Thomas Jefferson, a Founding Father and President of the United States, kept portraits of John Locke, Sir Francis Bacon, and Newton, whom he described as "the three greatest men that have ever lived, without any exception", and who he credited with laying "the foundation of those superstructures which have been raised in the Physical and Moral sciences".

Newton has further been called "the towering figure of the Scientific Revolution" and that "In a period rich with outstanding thinkers, Newton was simply the most outstanding." The polymath Johann Wolfgang von Goethe labeled Newton's birth as the "Christmas of the modern age". In the Italian polymath Vilfredo Pareto's estimation, Newton was the greatest human being who ever lived. On the bicentennial of Newton's death in 1927, astronomer James Jeans stated that he "was certainly the greatest man of science, and perhaps the greatest intellect, the human race has seen". Newton ultimately conceived four revolutions—in optics, mathematics, mechanics, and gravity—but also foresaw a fifth in electricity, though he lacked the time and energy in old age to fully accomplish it.

The physicist Ludwig Boltzmann called Newton's Principia "the first and greatest work ever written about theoretical physics". Physicist Stephen Hawking similarly called Principia "probably the most important single work ever published in the physical sciences".

Physicist Edward Andrade stated that Newton "was capable of greater sustained mental effort than any man, before or since", and noted earlier the place of Isaac Newton in history, stating:

From time to time in the history of mankind a man arises who is of universal significance, whose work changes the current of human thought or of human experience, so that all that comes after him bears evidence of his spirit. Such a man was Shakespeare, such a man was Beethoven, such a man was Newton, and, of the three, his kingdom is the most widespread.

The French physicist and mathematician Jean-Baptiste Biot praised Newton's genius, stating that:

Never was the supremacy of intellect so justly established and so fully confessed . . . In mathematical and in experimental science without an equal and without an example; combining the genius for both in its highest degree.

Despite his rivalry with Gottfried Wilhem Leibniz, Leibniz still praised the work of Newton, with him responding to a question at a dinner in 1701 from Sophia Charlotte, the Queen of Prussia, about his view of Newton with:

Taking mathematics from the beginning of the world to the time of when Newton lived, what he had done was much the better half.

Mathematician E.T. Bell ranked Newton alongside Carl Friedrich Gauss and Archimedes as the three greatest mathematicians of all time. In The Cambridge Companion to Isaac Newton (2016), he is described as being "from a very young age, an extraordinary problem-solver, as good, it would appear, as humanity has ever produced". He is ultimately ranked among the top two or three greatest theoretical scientists ever, alongside James Clerk Maxwell and Albert Einstein, the greatest mathematician ever alongside Carl F. Gauss, and among the best experimentalists ever, thereby "putting Newton in a class by himself among empirical scientists, for one has trouble in thinking of any other candidate who was in the first rank of even two of these categories." Also noted is "At least in comparison to subsequent scientists, Newton was also exceptional in his ability to put his scientific effort in much wider perspective". Gauss himself had Archimedes and Newton as his heroes, and used terms such as clarissimus or magnus to describe other intellectuals such as great mathematicians and philosophers, but reserved summus for Newton only, and once remarked that "Newton remains forever the master of all masters!"

Albert Einstein kept a picture of Newton on his study wall alongside ones of Michael Faraday and of James Clerk Maxwell. Einstein stated that Newton's creation of calculus in relation to his laws of motion was "perhaps the greatest advance in thought that a single individual was ever privileged to make." He also noted the influence of Newton, stating that:

The whole evolution of our ideas about the processes of nature, with which we have been concerned so far, might be regarded as an organic development of Newton's ideas.

In 1999, an opinion poll of 100 of the day's leading physicists voted Einstein the "greatest physicist ever," with Newton the runner-up, while a parallel survey of rank-and-file physicists ranked Newton as the greatest. In 2005, a dual survey of both the public and of members of Britain's Royal Society (formerly headed by Newton) asking who had the greater effect on both the history of science and on the history of mankind, Newton or Einstein, both the public and the Royal Society deemed Newton to have made the greater overall contributions for both.

In 1999, Time named Newton the Person of the Century for the 17th century. Newton placed sixth in the 100 Greatest Britons poll conducted by BBC in 2002. However, in 2003, he was voted as the greatest Briton in a poll conducted by BBC World, with Winston Churchill second. He was voted as the greatest Cantabrigian by University of Cambridge students in 2009.

Physicist Lev Landau ranked physicists on a logarithmic scale of productivity and genius ranging from 0 to 5. The highest ranking, 0, was assigned to Newton. Einstein was ranked 0.5. A rank of 1 was awarded to the fathers of quantum mechanics, such as Werner Heisenberg and Paul Dirac. Landau, a Nobel prize winner and the discoverer of superfluidity, ranked himself as 2.

The SI derived unit of force is named the Newton in his honour.

Apple incident

Main article: Isaac Newton's apple tree Reputed descendants of Newton's apple tree at (from top to bottom): Trinity College, Cambridge, the Cambridge University Botanic Garden, and the Instituto Balseiro library garden in Argentina

Newton himself often told the story that he was inspired to formulate his theory of gravitation by watching the fall of an apple from a tree. The story is believed to have passed into popular knowledge after being related by Catherine Barton, Newton's niece, to Voltaire. Voltaire then wrote in his Essay on Epic Poetry (1727), "Sir Isaac Newton walking in his gardens, had the first thought of his system of gravitation, upon seeing an apple falling from a tree."

Although it has been said that the apple story is a myth and that he did not arrive at his theory of gravity at any single moment, acquaintances of Newton (such as William Stukeley, whose manuscript account of 1752 has been made available by the Royal Society) do in fact confirm the incident, though not the apocryphal version that the apple actually hit Newton's head. Stukeley recorded in his Memoirs of Sir Isaac Newton's Life a conversation with Newton in Kensington on 15 April 1726:

we went into the garden, & drank thea under the shade of some appletrees, only he, & myself. amidst other discourse, he told me, he was just in the same situation, as when formerly, the notion of gravitation came into his mind. "why should that apple always descend perpendicularly to the ground," thought he to him self: occasion'd by the fall of an apple, as he sat in a comtemplative mood: "why should it not go sideways, or upwards? but constantly to the earths centre? assuredly, the reason is, that the earth draws it. there must be a drawing power in matter. & the sum of the drawing power in the matter of the earth must be in the earths center, not in any side of the earth. therefore dos this apple fall perpendicularly, or toward the center. if matter thus draws matter; it must be in proportion of its quantity. therefore the apple draws the earth, as well as the earth draws the apple."

John Conduitt, Newton's assistant at the Royal Mint and husband of Newton's niece, also described the event when he wrote about Newton's life:

In the year 1666 he retired again from Cambridge to his mother in Lincolnshire. Whilst he was pensively meandering in a garden it came into his thought that the power of gravity (which brought an apple from a tree to the ground) was not limited to a certain distance from earth, but that this power must extend much further than was usually thought. Why not as high as the Moon said he to himself & if so, that must influence her motion & perhaps retain her in her orbit, whereupon he fell a calculating what would be the effect of that supposition.

It is known from his notebooks that Newton was grappling in the late 1660s with the idea that terrestrial gravity extends, in an inverse-square proportion, to the Moon; however, it took him two decades to develop the full-fledged theory. The question was not whether gravity existed, but whether it extended so far from Earth that it could also be the force holding the Moon to its orbit. Newton showed that if the force decreased as the inverse square of the distance, one could indeed calculate the Moon's orbital period, and get good agreement. He guessed the same force was responsible for other orbital motions, and hence named it "universal gravitation".

Various trees are claimed to be "the" apple tree which Newton describes. The King's School, Grantham claims that the tree was purchased by the school, uprooted and transported to the headmaster's garden some years later. The staff of the (now) National Trust-owned Woolsthorpe Manor dispute this, and claim that a tree present in their gardens is the one described by Newton. A descendant of the original tree can be seen growing outside the main gate of Trinity College, Cambridge, below the room Newton lived in when he studied there. The National Fruit Collection at Brogdale in Kent can supply grafts from their tree, which appears identical to Flower of Kent, a coarse-fleshed cooking variety.

Commemorations

Newton statue on display at the Oxford University Museum of Natural History

Newton's monument (1731) can be seen in Westminster Abbey, at the north of the entrance to the choir against the choir screen, near his tomb. It was executed by the sculptor Michael Rysbrack (1694–1770) in white and grey marble with design by the architect William Kent. The monument features a figure of Newton reclining on top of a sarcophagus, his right elbow resting on several of his great books and his left hand pointing to a scroll with a mathematical design. Above him is a pyramid and a celestial globe showing the signs of the Zodiac and the path of the comet of 1680. A relief panel depicts putti using instruments such as a telescope and prism.

From 1978 until 1988, an image of Newton designed by Harry Ecclestone appeared on Series D £1 banknotes issued by the Bank of England (the last £1 notes to be issued by the Bank of England). Newton was shown on the reverse of the notes holding a book and accompanied by a telescope, a prism and a map of the Solar System.

A statue of Isaac Newton, looking at an apple at his feet, can be seen at the Oxford University Museum of Natural History. A large bronze statue, Newton, after William Blake, by Eduardo Paolozzi, dated 1995 and inspired by Blake's etching, dominates the piazza of the British Library in London. A bronze statue of Newton was erected in 1858 in the centre of Grantham where he went to school, prominently standing in front of Grantham Guildhall.

The still-surviving farmhouse at Woolsthorpe By Colsterworth is a Grade I listed building by Historic England through being his birthplace and "where he discovered gravity and developed his theories regarding the refraction of light".

The Enlightenment

Enlightenment philosophers chose a short history of scientific predecessors—Galileo, Boyle, and Newton principally—as the guides and guarantors of their applications of the singular concept of nature and natural law to every physical and social field of the day. In this respect, the lessons of history and the social structures built upon it could be discarded.

It is held by European philosophers of the Enlightenment and by historians of the Enlightenment that Newton's publication of the Principia was a turning point in the Scientific Revolution and started the Enlightenment. It was Newton's conception of the universe based upon natural and rationally understandable laws that became one of the seeds for Enlightenment ideology. Locke and Voltaire applied concepts of natural law to political systems advocating intrinsic rights; the physiocrats and Adam Smith applied natural conceptions of psychology and self-interest to economic systems; and sociologists criticised the current social order for trying to fit history into natural models of progress. Monboddo and Samuel Clarke resisted elements of Newton's work, but eventually rationalised it to conform with their strong religious views of nature.

Works

Published in his lifetime

Published posthumously

See also

References

Notes

  1. ^ During Newton's lifetime, two calendars were in use in Europe: the Julian ("Old Style") calendar in Protestant and Orthodox regions, including Britain; and the Gregorian ("New Style") calendar in Roman Catholic Europe. At Newton's birth, Gregorian dates were ten days ahead of Julian dates; thus, his birth is recorded as taking place on 25 December 1642 Old Style, but it can be converted to a New Style (modern) date of 4 January 1643. By the time of his death, the difference between the calendars had increased to eleven days. Moreover, he died in the period after the start of the New Style year on 1 January but before that of the Old Style new year on 25 March. His death occurred on 20 March 1726, according to the Old Style calendar, but the year is usually adjusted to 1727. A full conversion to New Style gives the date 31 March 1727.
  2. This claim was made by William Stukeley in 1727, in a letter about Newton written to Richard Mead. Charles Hutton, who in the late eighteenth century collected oral traditions about earlier scientists, declared that there "do not appear to be any sufficient reason for his never marrying, if he had an inclination so to do. It is much more likely that he had a constitutional indifference to the state, and even to the sex in general."

Citations

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  236. Whiteside, D.T., ed. (1974). Mathematical Papers of Isaac Newton, 1684–1691. 6. Cambridge University Press. pp. 30–91. Archived 10 June 2016 at the Wayback Machine
  237. "Museum of London exhibit including facsimile of title page from John Flamsteed's copy of 1687 edition of Newton's Principia". Museumoflondon.org.uk. Archived from the original on 31 March 2012. Retrieved 16 March 2012.
  238. Published anonymously as "Scala graduum Caloris. Calorum Descriptiones & signa." in Philosophical Transactions, 1701, 824 Archived 21 January 2020 at the Wayback Machine–829; ed. Joannes Nichols, Isaaci Newtoni Opera quae exstant omnia, vol. 4 (1782), 403 Archived 17 June 2016 at the Wayback Machine–407. Mark P. Silverman, A Universe of Atoms, An Atom in the Universe, Springer, 2002, p. 49. Archived 24 June 2016 at the Wayback Machine
  239. Newton, Isaac (1704). Opticks or, a Treatise of the reflexions, refractions, inflexions and colours of light. Also two treatises of the species and magnitude of curvilinear figures. Sam. Smith. and Benj. Walford. Archived from the original on 24 February 2021. Retrieved 17 March 2018.
  240. ^ Pickover, Clifford (2008). Archimedes to Hawking: Laws of Science and the Great Minds Behind Them. Oxford University Press. pp. 117–18. ISBN 978-0-19-979268-9. Archived from the original on 26 February 2024. Retrieved 17 March 2018.
  241. Swetz, Frank J. "Mathematical Treasure: Newton's Method of Fluxions". Convergence. Mathematical Association of America. Archived from the original on 28 June 2017. Retrieved 17 March 2018.

Bibliography

Further reading

Primary

  • Newton, Isaac. The Principia: Mathematical Principles of Natural Philosophy. University of California Press, (1999)
    • Brackenridge, J. Bruce. The Key to Newton's Dynamics: The Kepler Problem and the Principia: Containing an English Translation of Sections 1, 2, and 3 of Book One from the First (1687) Edition of Newton's Mathematical Principles of Natural Philosophy, University of California Press (1996)
  • Newton, Isaac. The Optical Papers of Isaac Newton. Vol. 1: The Optical Lectures, 1670–1672, Cambridge University Press (1984)
    • Newton, Isaac. Opticks (4th ed. 1730) online edition
    • Newton, I. (1952). Opticks, or A Treatise of the Reflections, Refractions, Inflections & Colours of Light. New York: Dover Publications.
  • Newton, I. Sir Isaac Newton's Mathematical Principles of Natural Philosophy and His System of the World, tr. A. Motte, rev. Florian Cajori. Berkeley: University of California Press (1934)
  • Whiteside, D. T., ed. (1967–1982). The Mathematical Papers of Isaac Newton. Cambridge: Cambridge University Press. ISBN 978-0-521-07740-8. – 8 volumes.
  • Newton, Isaac. The correspondence of Isaac Newton, ed. H.W. Turnbull and others, 7 vols (1959–77)
  • Newton's Philosophy of Nature: Selections from His Writings edited by H.S. Thayer (1953; online edition)
  • Isaac Newton, Sir; J Edleston; Roger Cotes, Correspondence of Sir Isaac Newton and Professor Cotes, including letters of other eminent men, London, John W. Parker, West Strand; Cambridge, John Deighton (1850, Google Books)
  • Maclaurin, C. (1748). An Account of Sir Isaac Newton's Philosophical Discoveries, in Four Books. London: A. Millar and J. Nourse
  • Newton, I. (1958). Isaac Newton's Papers and Letters on Natural Philosophy and Related Documents, eds. I.B. Cohen and R.E. Schofield. Cambridge: Harvard University Press
  • Newton, I. (1962). The Unpublished Scientific Papers of Isaac Newton: A Selection from the Portsmouth Collection in the University Library, Cambridge, ed. A.R. Hall and M.B. Hall. Cambridge: Cambridge University Press
  • Newton, I. (1975). Isaac Newton's 'Theory of the Moon's Motion' (1702). London: Dawson

Alchemy

  • Craig, John (1946). Newton at the Mint. Cambridge, England: Cambridge University Press.
  • Craig, John (1953). "XII. Isaac Newton". The Mint: A History of the London Mint from A.D. 287 to 1948. Cambridge, England: Cambridge University Press. pp. 198–222. ASIN B0000CIHG7.
  • de Villamil, Richard (1931). Newton, the Man. London: G. D. Knox. – Preface by Albert Einstein. Reprinted by Johnson Reprint Corporation, New York (1972)
  • Dobbs, B. J. T. (1975). The Foundations of Newton's Alchemy or "The Hunting of the Greene Lyon". Cambridge: Cambridge University Press.
  • Keynes, John Maynard (1963). Essays in Biography. W. W. Norton & Co. ISBN 978-0-393-00189-1. Keynes took a close interest in Newton and owned many of Newton's private papers.
  • Stukeley, W. (1936). Memoirs of Sir Isaac Newton's Life. London: Taylor and Francis. (edited by A.H. White; originally published in 1752)
  • Trabue, J. "Ann and Arthur Storer of Calvert County, Maryland, Friends of Sir Isaac Newton," The American Genealogist 79 (2004): 13–27.

Religion

  • Dobbs, Betty Jo Tetter. The Janus Faces of Genius: The Role of Alchemy in Newton's Thought. (1991), links the alchemy to Arianism
  • Force, James E., and Richard H. Popkin, eds. Newton and Religion: Context, Nature, and Influence. (1999), pp. xvii, 325.; 13 papers by scholars using newly opened manuscripts
  • Pfizenmaier, Thomas C. (1997). "Was Isaac Newton an Arian?". Journal of the History of Ideas. 58 (1): 57–80. doi:10.1353/jhi.1997.0001. JSTOR 3653988. S2CID 170545277.
  • Ramati, Ayval (2001). "The Hidden Truth of Creation: Newton's Method of Fluxions". The British Journal for the History of Science. 34 (4): 417–38. doi:10.1017/S0007087401004484. JSTOR 4028372. S2CID 143045863.
  • Snobelen, Stephen D. (2001). "'God of Gods, and Lord of Lords': The Theology of Isaac Newton's General Scholium to the Principia". Osiris. 16: 169–208. Bibcode:2001Osir...16..169S. doi:10.1086/649344. JSTOR 301985. S2CID 170364912.
  • Snobelen, Stephen D. (December 1999). "Isaac Newton, heretic: the strategies of a Nicodemite". The British Journal for the History of Science. 32 (4): 381–419. doi:10.1017/S0007087499003751. JSTOR 4027945. S2CID 145208136.

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