Misplaced Pages

Monad: Difference between revisions

Article snapshot taken from Wikipedia with creative commons attribution-sharealike license. Give it a read and then ask your questions in the chat. We can research this topic together.
Browse history interactively← Previous editContent deleted Content addedVisualWikitext
Revision as of 21:26, 25 February 2004 editAxelBoldt (talk | contribs)Administrators44,499 edits usage in non-standard analysis← Previous edit Latest revision as of 15:15, 27 August 2024 edit undo31.221.202.76 (talk) Philosophy 
(344 intermediate revisions by more than 100 users not shown)
Line 1: Line 1:
{{wiktionary|monad}}
]]]]
'''Monad''' may refer to:
The word '''monad''' comes from the ] word μονάς (from the word μόνος, which means "one", "single", "unique") and has had many meanings in different contexts:


{{TOC right}}
#Among the ] (followers of ]) the '''monad''' was the first thing that came into existence. The monad begat the ''dyad'', which begat the numbers, the numbers begat points, which begat lines, which begat two-dimensional entities, which begat three-dimensional entities, which begat bodies, which begat the four ]s ], ], ] and ], from which the rest of our world is built up. The monad was thus a central concept in the ] of the Pythagoreans, who held the belief that the world was - ''literally'' - built up by numbers. (The source of this claim is ]' book ''Lives of Eminent Philosophers''.)
==Philosophy==
#Within certain variations of ], especially those inspiered by ], the '''monad''' was the higher being which created lesser gods, or elements (similar to ]s). This view was according to ] inspired by the ].
* ], a term meaning "unit"
#In the writings of the ] ], '''monads''' are atomistic mental objects which experience the world from a particular point of view. Leibniz's theory does not posit physical space; rather, physical objects are constructs of the collective experiences of monads. This way of putting it is misleading, however; monads do not interact with each other (are "windowless"), but rather are imbued at creation with all their future experiences in a system of ]. The arrangements of the monads make up the faith and structure of this world, which to Leibniz was "the best of all possible worlds".
**], the concept of "one essence" in the metaphysical and theological theory
#Within ]:
** ], the most primal aspect of God in Gnosticism
#* in ], a '''monad''', also known as '''triple''', is a type of ] important in the theory of ]. It is this usage that has led to the one in functional programming explained below. See ];
* ''Great Monad'', an older name for the '']'' symbol
#* in ], a '''monad''' consists of all those numbers infinitesimally close to a given number.
* ''Monadologia Physica'', by ]
#In pure ]s such as ], '''monads''' are data types that encapsulate the functional ]-activity, in such a manner that the side-effects of IO are not allowed to spread out of the part of the program that is not functional (imperative).
* '']'', by Gottfried Leibniz, a book about a basic unit of perceptual reality
#] describes its symbol as being a geometric representation of the '''monad'''.
* '' ]'', a 1564 book by John Dee describing a symbol of his own invention
#'''Monad''' is a codename for a ] that is up to come with ]. It includes many features borrowed from ] and ].

==Mathematics, science and technology==
* ], a historical term for a simple unicellular organism
* ], a construction in category theory
* ], functional programming constructs that capture various notions of computation
* ], a 3-term complex
* ], the set of points infinitesimally close to a given point
* ], the code name for the PowerShell command line interface for Microsoft Windows

==Fictional entities==
* Monads, megastructures in Robert Silverberg's 1971 novel '']''
* Monad Proxy, a ]
* John Monad, the title character of the 2007 television series '']''
* Monad/Monado, a sword in the 2010 videogame '']''

==Other uses==
* ], a single note or pitch
* ], in Hapur, Uttar Pradesh, India
* The emblem of the ]

==See also==
* ]
* ]
* ], in abstract algebra
* {{lookfrom|Monad}}, for titles starting "Monad" or "Monadic"
* {{intitle|Monad}}

{{Disambiguation}}

Latest revision as of 15:15, 27 August 2024

Monad may refer to:

Philosophy

Mathematics, science and technology

Fictional entities

Other uses

See also

Topics referred to by the same term Disambiguation iconThis disambiguation page lists articles associated with the title Monad.
If an internal link led you here, you may wish to change the link to point directly to the intended article. Category: