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{{wiktionary|monad}} | |||
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 in philosophy, mathematics, computing and music: | |||
'''Monad''' may refer to: | |||
{{TOC right}} | |||
*Among the ] (followers of ]) the '''monad''' was the first thing that came into existence. The monad begot the ''dyad'', which begot the numbers, the numbers begat points, which begot lines, which begat two-dimensional entities, which begat three-dimensional entities, which begat bodies, which begot 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 inspired by ], the ''']''' 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" | |||
*The '''Monad''' appears in the ] texts of the ], part four of the corpus is called ''The Cup or Monad''. | |||
**], the concept of "one essence" in the metaphysical and theological theory | |||
*The ''']''' is the Chinese symbol of ] in nature. | |||
** ], the most primal aspect of God in Gnosticism | |||
*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". | |||
* ''Great Monad'', an older name for the '']'' symbol | |||
*Within ]: | |||
* ''Monadologia Physica'', by ] | |||
⚫ | |||
* '']'', by Gottfried Leibniz, a book about a basic unit of perceptual reality | |||
** in ], a '''monad''', also known as '''triple''', is a type of ] important in the theory of ]. This term has a different root than the ones described above; it was formed by combining "monoid" and "triad". See ]. | |||
* '' ]'', a 1564 book by John Dee describing a symbol of his own invention | |||
**In pure ]s such as ], monads are used as data types that encapsulate the functional ]-activity, in such a manner that the side-effects of I/O are not allowed to spread out of the part of the program that is not functional (imperative). See ]. | |||
*] describes its symbol as being a geometric representation of the '''monad'''. | |||
*] is the codename for a ] that is in development as part of ]'s ]. It includes many features from traditional ]s, as well as ] concepts. | |||
*In ] a '''monad''' is a single ] or ]. See also: ], ], ], ]. | |||
⚫ | ==See also== | ||
==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== | |||
{{disambig}} | |||
* 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}} | |||
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] | |||
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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
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