| Revision as of 10:56, 12 June 2003 editCharles Matthews (talk | contribs)Autopatrolled, Administrators360,239 edits Monads in category theory; query use for singleton sets← Previous edit | Latest revision as of 15:15, 27 August 2024 edit undo31.221.202.76 (talk) →Philosophy | ||
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| {{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 ] ], the '''monads''' appear as spiritual entities which make up the essence of our world. They do not interact with our world (are "windowless"), and do not have volume (do not take up space) and are thus impossible to detect by scientific methods. 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 mathematics a '''monad''' is a ] consisting of one single ] (query non-standard usage - that's normally a ''singleton''). In ] a '''monad''' is a type of ] important in the theory of ]. It is that usage that has led to the below. | |||
| ** ], the most primal aspect of God in Gnosticism | |||
| #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). | |||
| * ''Great Monad'', an older name for the '']'' symbol | |||
| * ''Monadologia Physica'', by ] | |||
| * '']'', by Gottfried Leibniz, a book about a basic unit of perceptual reality | |||
| * '' ]'', a 1564 book by John Dee describing a symbol of his own invention | |||
| ==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
- Monad (philosophy), a term meaning "unit"
- Monism, the concept of "one essence" in the metaphysical and theological theory
- Monad (Gnosticism), the most primal aspect of God in Gnosticism
- Great Monad, an older name for the taijitu symbol
- Monadologia Physica, by Immanuel Kant
- La Monadologie, by Gottfried Leibniz, a book about a basic unit of perceptual reality
- Monas Hieroglyphica, a 1564 book by John Dee describing a symbol of his own invention
Mathematics, science and technology
- Monad (biology), a historical term for a simple unicellular organism
- Monad (category theory), a construction in category theory
- Monad (functional programming), functional programming constructs that capture various notions of computation
- Monad (homological algebra), a 3-term complex
- Monad (nonstandard analysis), the set of points infinitesimally close to a given point
- Monad shell, the code name for the PowerShell command line interface for Microsoft Windows
Fictional entities
- Monads, megastructures in Robert Silverberg's 1971 novel The World Inside
- Monad Proxy, a character in the 2006 anime series Ergo Proxy
- John Monad, the title character of the 2007 television series John from Cincinnati
- Monad/Monado, a sword in the 2010 videogame Xenoblade Chronicles
Other uses
- Monad (music), a single note or pitch
- Monad University, in Hapur, Uttar Pradesh, India
- The emblem of the technocracy movement
See also
- Monade
- Monadic (disambiguation)
- Monoid, in abstract algebra
- All pages with titles beginning with Monad, for titles starting "Monad" or "Monadic"
- All pages with titles containing Monad
This 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: