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| {{Short description|Popular mathematics book}} | |||
| {{Infobox book | {{Infobox book | ||
| | name = Infinity and the Mind | | name = Infinity and the Mind | ||
| | image = |
| image = Infinity and the Mind (Rudy Rucker book) cover.jpg | ||
| | caption = | | caption = First edition cover | ||
| | author = ] | | author = ] | ||
| | title_orig = | | title_orig = | ||
| Line 8: | Line 9: | ||
| | illustrator = | | illustrator = | ||
| | cover_artist = | | cover_artist = | ||
| | country = | | country = United States | ||
| | language = | | language = English | ||
| | series = | | series = | ||
| | subject = ] | | subject = ], ] | ||
| | genre = | | genre = ] | ||
| | publisher = Birkhäuser | | publisher = ] | ||
| | pub_date = 1982 | | pub_date = 1 May 1982 | ||
| | media_type = Print | | media_type = Print | ||
| | pages = 342 | | pages = 342 | ||
| | isbn = |
| isbn = 978-3-7643-3034-7 | ||
| | oclc = 8113006 | | oclc = 8113006 | ||
| | dewey = | | dewey = | ||
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| }} | }} | ||
| '''''Infinity and the Mind: The Science and Philosophy of the Infinite'''''<ref>{{Cite book | last=Rucker | first=Rudy | |
'''''Infinity and the Mind: The Science and Philosophy of the Infinite'''''<ref>{{Cite book | last=Rucker | first=Rudy | author-link=Rudy Rucker | title=Infinity and the Mind: The Science and Philosophy of the Infinite | year=1982 | publisher=Princeton University Press | location=Princeton, N.J. | isbn=978-0-691-00172-2 }}</ref> is a ] book by American mathematician, computer scientist, and ] writer ].<ref>{{cite web |title=Infinity and the Mind The Science and Philosophy of the Infinite |url=https://press.princeton.edu/titles/5656.html |publisher=] |access-date=29 October 2018}}</ref> | ||
| == Marketing == | |||
| The dust jacket of the original (Birkhäuser) edition had a picture of a star over a mountain and appeared to be a religious or mystical work. Subsequent paperback reprintings had covers suggesting that the publishers wished to appeal to a "new age" market. The most recent editions, from ], have very austere covers suggesting an academic work. | |||
| == Synopsis == | == Synopsis == | ||
| The book contains popular expositions |
The book contains accessible popular expositions on the mathematical theory of ], and a number of related topics. These include ] and their relationship to concepts of ] and the human mind, as well as the conceivability of some unconventional cosmological models. The material is approached from a variety of viewpoints, some more conventionally mathematical and others being nearly mystical. There is a brief account of the author's personal contact with ]. | ||
| An appendix contains |
An appendix contains a popular exposition on ]s in ]. | ||
| ==Reception== | |||
| ] reviewed ''Infinity and the Mind'' for '']'' #41, and stated that "a must for anyone who enjoyed Hofstadter's ''Godel'', ''Escher'', ''Bach'' or the works of Martin Gardner."<ref name="WD41">{{cite magazine | last =Langford | first =Dave | author-link =David Langford | title =Critical Mass | magazine =] | issue =41 | pages =13 | publisher =] | date = May 1983 }}</ref> | |||
| ''Infinity and the Mind'' was reviewed by the '']'', which asserted that "Rudy Rucker's ''Infinity and the Mind'' is a terrific study with real mathematical depth." ] described the book as "Informal, amusing, witty, profound... In an extraordinary burst of creative energy, Rudy Rucker has managed to bring together every aspect of mathematical infinity.... A dizzying glimpse into that boundless region of blinding light where the mysteries of transcendence shatter the clarity of logic, set theory, proof theory, and contemporary physics."<ref>{{Cite book|url=https://press.princeton.edu/books/paperback/9780691191386/infinity-and-the-mind|title=Infinity and the Mind|date=2019-07-23|publisher=Prinston Press|isbn=978-0-691-19138-6|pages=Praise|language=en}}</ref> | |||
| ==Contents== | |||
| * Chapter one: Infinity | |||
| * Chapter two: All the Numbers | |||
| * Chapter three: The Unnameable | |||
| * Chapter four: Robots and Souls | |||
| * Chapter five: The One and the Many | |||
| * Excursion I: The Transfinite Cardinals | |||
| * Excursion II: Gödel's Incompleteness Theorems | |||
| == References == | == References == | ||
| Line 41: | Line 53: | ||
| * | * | ||
| {{Rudy Rucker}} | |||
| ] | ] | ||
| ] | ] | ||
| ] | ] | ||
| ] | ] | ||
| {{mathematics-lit-stub}} | {{mathematics-lit-stub}} | ||
Latest revision as of 02:28, 19 April 2024
Popular mathematics book_cover.jpg) First edition cover | |
| Author | Rudy Rucker |
|---|---|
| Language | English |
| Subject | Infinity, set theory |
| Genre | Popular mathematics |
| Publisher | Birkhäuser |
| Publication date | 1 May 1982 |
| Publication place | United States |
| Media type | |
| Pages | 342 |
| ISBN | 978-3-7643-3034-7 |
| OCLC | 8113006 |
Infinity and the Mind: The Science and Philosophy of the Infinite is a popular mathematics book by American mathematician, computer scientist, and science fiction writer Rudy Rucker.
Synopsis
The book contains accessible popular expositions on the mathematical theory of infinity, and a number of related topics. These include Gödel's incompleteness theorems and their relationship to concepts of artificial intelligence and the human mind, as well as the conceivability of some unconventional cosmological models. The material is approached from a variety of viewpoints, some more conventionally mathematical and others being nearly mystical. There is a brief account of the author's personal contact with Kurt Gödel.
An appendix contains a popular exposition on large cardinals in set theory.
Reception
Dave Langford reviewed Infinity and the Mind for White Dwarf #41, and stated that "a must for anyone who enjoyed Hofstadter's Godel, Escher, Bach or the works of Martin Gardner."
Infinity and the Mind was reviewed by the New Yorker, which asserted that "Rudy Rucker's Infinity and the Mind is a terrific study with real mathematical depth." Martin Gardner described the book as "Informal, amusing, witty, profound... In an extraordinary burst of creative energy, Rudy Rucker has managed to bring together every aspect of mathematical infinity.... A dizzying glimpse into that boundless region of blinding light where the mysteries of transcendence shatter the clarity of logic, set theory, proof theory, and contemporary physics."
Contents
- Chapter one: Infinity
- Chapter two: All the Numbers
- Chapter three: The Unnameable
- Chapter four: Robots and Souls
- Chapter five: The One and the Many
- Excursion I: The Transfinite Cardinals
- Excursion II: Gödel's Incompleteness Theorems
References
- Rucker, Rudy (1982). Infinity and the Mind: The Science and Philosophy of the Infinite. Princeton, N.J.: Princeton University Press. ISBN 978-0-691-00172-2.
- "Infinity and the Mind The Science and Philosophy of the Infinite". Princeton University Press. Retrieved 29 October 2018.
- Langford, Dave (May 1983). "Critical Mass". White Dwarf. No. 41. Games Workshop. p. 13.
- Infinity and the Mind. Prinston Press. 2019-07-23. pp. Praise. ISBN 978-0-691-19138-6.
External links
| Works of Rudy Rucker | |||||||
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| Novels |
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| Short fiction collections |
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| Non-fiction |
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