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- Mathematical concept that generalize point-set topologyTopoi are a mathematical concept that generalize point-set topology1. The Grothendieck topoi are used in algebraic geometry, while the more general elementary topoi are used in logic1. The field of mathematics that studies topoi is called topos theory1. The term topoi was introduced by Aristotle to characterize the "places" where a speaker or writer may "locate" arguments that are appropriate to a given subject2. Topoi are also tools or strategies of invention2. Topoi are also used in classical argumentation theory3.Learn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.Topoi behave much like the category of sets and possess a notion of localization; they are a direct generalization of point-set topology. The Grothendieck topoi find applications in algebraic geometry; the more general elementary topoi are used in logic. The mathematical field that studies topoi is called topos theory.en.wikipedia.org/wiki/ToposThe term topoi (from the Greek for "place" or "turn") is a metaphor introduced by Aristotle to characterize the "places" where a speaker or writer may "locate" arguments that are appropriate to a given subject. As such, the topoi are tools or strategies of invention.www.thoughtco.com/topoi-rhetoric-1692553Topos (topoi in plural) is one of the most widely-used concepts from classical argumentation theory (dating back to Aristotle and Cicero). It found its way not only in philosophy, sociology, anthropology, and linguistics; it found its way in everyday life and everyday conversation as well.www.degruyter.com/document/doi/10.2478/v10016 …
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Topos - Wikipedia
In mathematics, a topos is a category that behaves like the category of sheaves of sets on a topological space (or more generally: on a site). Topoi behave much like the category of sets and possess a notion of localization; they are a direct generalization of point-set topology. The Grothendieck topoi find applications in … See more
Since the introduction of sheaves into mathematics in the 1940s, a major theme has been to study a space by studying sheaves on a space. This idea was expounded by See more
Introduction
Since the early 20th century, the predominant axiomatic foundation of mathematics has been set theory, in which all mathematical … See moreWikipedia text under CC-BY-SA license Topos Theory in a Nutshell - Department of Mathematics
Definition and Examples of the Topoi in Rhetoric - ThoughtCo
The Variety of topoi in the Rhetoric - Stanford Encyclopedia of …
(PDF) Topoi in Critical Discourse Analysis
WEBTopoi in Critical Discourse Analysis Topos (topoi in plural) is one of the most widely-used concepts from classical argumentation theory (dating back to Aristotle and Cicero). It found its...
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category theory - What does the connection to topology provide …