zermelo–fraenkel wikipedia - EAS
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See all on Wikipediahttps://en.wikipedia.org/wiki/Zermelo–Fraenkel_set_theoryIn set theory, Zermelo–Fraenkel set theory, named after mathematicians Ernst Zermelo and Abraham Fraenkel, is an axiomatic system that was proposed in the early twentieth century in order to formulate a theory of sets free of paradoxes such as Russell's paradox. Today, Zermelo–Fraenkel set theory, with … See more
The modern study of set theory was initiated by Georg Cantor and Richard Dedekind in the 1870s. However, the discovery of paradoxes in naive set theory, such as Russell's paradox, led to the desire for a more … See more
Virtual classes
As noted earlier, proper classes (collections of mathematical objects defined by a … See moreFor criticism of set theory in general, see Objections to set theory
ZFC has been criticized both for being excessively strong and for being excessively weak, as well as for its failure to capture objects such as proper classes and the See moreThere are many equivalent formulations of the ZFC axioms; for a discussion of this see Fraenkel, Bar-Hillel & Lévy 1973. The following particular axiom set is from Kunen (1980). The … See more
One motivation for the ZFC axioms is the cumulative hierarchy of sets introduced by John von Neumann. In this viewpoint, the universe of set theory is built up in stages, with one stage for each ordinal number. At stage 0 there are no sets yet. At each following stage, a … See more
Wikipedia text under CC-BY-SA license- https://de.wikipedia.org/wiki/Zermelo-Fraenkel-Mengenlehre
Die Zermelo-Fraenkel-Mengenlehre ist eine verbreitete axiomatische Mengenlehre, die nach Ernst Zermelo und Abraham Adolf Fraenkel benannt ist. Sie ist heute Grundlage fast aller Zweige der Mathematik. Die Zermelo-Fraenkel-Mengenlehre ohne Auswahlaxiom wird durch ZF abgekürzt, mit Auswahlaxiom durch ZFC (wobei das C für das engl. Wort choice, also Auswahl oder Wahl steht).
Wikipedia · Text under CC-BY-SA license- Estimated Reading Time: 7 mins
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- https://simple.wikipedia.org/wiki/Zermelo–Fraenkel_set_theory
WebZermelo–Fraenkel set theory (abbreviated ZF) is a system of axioms used to describe set theory. When the axiom of choice is added to ZF, the system is called ZFC. It is the …
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- https://fr.wikipedia.org/wiki/Théorie_des_ensembles_de_Zermelo-Fraenkel
- La théorie de Zermelo est une présentation moderne de la théorie publiée par Zermelo en 1908[1], présentée explicitement ou implicitement dans le cadre de la logique du premier ordre avec égalité. Elle apparaît souvent dans les livres d'introduction à la théorie des ensembles[2]. Elle comporte les axiomes suivants : 1. l'axiome d’extensionnalité qu...
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- https://en.wikipedia.org/wiki/Ernst_Zermelo
- Ernst Friedrich Ferdinand Zermelo (/zɜːrˈmɛloʊ/, German:; 27 July 1871 – 21 May 1953) was a German logician and mathematician, whose work has major implications for the foundations of mathematics. He is known for his role in developing Zermelo–Fraenkel axiomatic set theory and his proof of the well-ordering theorem. Furthermore, his 1929 work on ra...
- Fields: Mathematics
- Nationality: German
Zermelo–Fraenkel set theory - Wikipedia
https://static.hlt.bme.hu/semantics/external/pages...WebIn set theory, Zermelo–Fraenkel set theory, named after mathematicians Ernst Zermelo and Abraham Fraenkel, is an axiomatic system that was proposed in the early twentieth …
- https://ja.wikipedia.org/wiki/ツェルメロ＝フレンケル集合論
Web履歴表示. 集合論 において、 ツェルメロ＝フレンケル集合論 ( 英: Zermelo-Fraenkel set theory )とは、 ラッセルのパラドックス などのパラドックスのない 集合論 を定式化する …
- https://es.wikipedia.org/wiki/Axiomas_de_Zermelo-Fraenkel
WebEn lógica y matemáticas, los axiomas de Zermelo-Fraenkel, formulados por Ernst Zermelo y Adolf Fraenkel, son un sistema axiomático concebido para formular la teoría de …
- https://cs.wikipedia.org/wiki/Zermelova–Fraenkelova_teorie_množin
WebZermelova-Fraenkelova teorie množin ( ZF) je nejrozšířenější axiomatickou soustavou teorie množin, která je sama o sobě nebo v některých mírných modifikacích používána …
- https://sv.wikipedia.org/wiki/Zermelo–Fraenkels_mängdteori
WebZermelo-Fraenkels mängdteori med urvalsaxiomet är ett axiomatiskt system för mängder, formaliserat i första ordningens logik med hjälp av ett språk som består av en icke-logisk …
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