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- Set_theory abstract "Set theory is the branch of mathematical logic that studies sets, which 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.".
- Set_theory thumbnail Venn_A_intersect_B.svg?width=300.
- Set_theory wikiPageExternalLink handbook.assafrinot.com.
- Set_theory wikiPageExternalLink set-theory.
- Set_theory wikiPageExternalLink n229.
- Set_theory wikiPageID "27553".
- Set_theory wikiPageRevisionID "606589132".
- Set_theory hasPhotoCollection Set_theory.
- Set_theory id "p/a014310".
- Set_theory id "p/s084750".
- Set_theory label "set theory".
- Set_theory lcheading "Set theory".
- Set_theory onlinebooks "yes".
- Set_theory title "Axiomatic set theory".
- Set_theory title "Set theory".
- Set_theory subject Category:Formal_methods.
- Set_theory subject Category:Mathematical_logic.
- Set_theory subject Category:Set_theory.
- Set_theory comment "Set theory is the branch of mathematical logic that studies sets, which 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.".
- Set_theory label "Mengenlehre".
- Set_theory label "Set theory".
- Set_theory label "Teoria degli insiemi".
- Set_theory label "Teoria dos conjuntos".
- Set_theory label "Teoria mnogości".
- Set_theory label "Teoría de conjuntos".
- Set_theory label "Théorie des ensembles".
- Set_theory label "Verzamelingenleer".
- Set_theory label "Теория множеств".
- Set_theory label "نظرية المجموعات".
- Set_theory label "集合論".
- Set_theory label "集合论".
- Set_theory sameAs Teorie_množin.
- Set_theory sameAs Mengenlehre.
- Set_theory sameAs Θεωρία_συνόλων.
- Set_theory sameAs Teoría_de_conjuntos.
- Set_theory sameAs Multzo-teoria.
- Set_theory sameAs Théorie_des_ensembles.
- Set_theory sameAs Teori_himpunan.
- Set_theory sameAs Teoria_degli_insiemi.
- Set_theory sameAs 集合論.
- Set_theory sameAs 집합론.
- Set_theory sameAs Verzamelingenleer.
- Set_theory sameAs Teoria_mnogości.
- Set_theory sameAs Teoria_dos_conjuntos.
- Set_theory sameAs m.06vql.
- Set_theory sameAs Mx4rv36W7ZwpEbGdrcN5Y29ycA.
- Set_theory sameAs Q12482.
- Set_theory sameAs Q12482.
- Set_theory wasDerivedFrom Set_theory?oldid=606589132.
- Set_theory depiction Venn_A_intersect_B.svg.
- Set_theory isPrimaryTopicOf Set_theory.
