Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Set_theory> ?p ?o }
- Set_theory abstract "Set theory is the branch of mathematical logic that studies sets, which informally are collections of objects. Although any type of object can be collected into a set, set theory is applied most often to objects that are relevant to mathematics. The language of set theory can be used in the definitions of nearly all mathematical objects.The modern study of set theory was initiated by Georg Cantor and Richard Dedekind in the 1870s. After the discovery of paradoxes in naive set theory, numerous axiom systems were proposed in the early twentieth century, of which the Zermelo–Fraenkel axioms, with the axiom of choice, are the best-known.Set theory is commonly employed as a foundational system for mathematics, particularly in the form of Zermelo–Fraenkel set theory with the axiom of choice. Beyond its foundational role, set theory is a branch of mathematics in its own right, with an active research community. Contemporary research into set theory includes a diverse collection of topics, ranging from the structure of the real number line to the study of the consistency of large cardinals.".
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- Set_theory wikiPageExternalLink set-theory.
- Set_theory wikiPageExternalLink handbook.assafrinot.com.
- Set_theory wikiPageExternalLink n229.
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- Set_theory wikiPageWikiLink Abraham_Fraenkel.
- Set_theory wikiPageWikiLink Abstract_algebra.
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- Set_theory wikiPageWikiLink Arithmetic.
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- Set_theory wikiPageWikiLink Atomic_formula.
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- Set_theory wikiPageWikiLink Axiom_schema_of_replacement.
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- Set_theory wikiPageWikiLink Category:Formal_methods.
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- Set_theory wikiPageWikiLink Finite_set.
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- Set_theory wikiPageWikiLink Forcing_(mathematics).
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- Set_theory wikiPageWikiLink Impredicativity.
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- Set_theory wikiPageWikiLink Kleins_encyclopedia.
- Set_theory wikiPageWikiLink Kripke–Platek_set_theory.
- Set_theory wikiPageWikiLink Large_cardinal.