What does russell's paradox mean?
Definitions for russell's paradox
rus·sell's para·dox
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Wikidata
Russell's paradox
In the foundations of mathematics, Russell's paradox, discovered by Bertrand Russell in 1901, showed that the naive set theory created by Georg Cantor leads to a contradiction. The same paradox had been discovered a year before by Ernst Zermelo but he did not publish the idea, which remained known only to Hilbert, Husserl and other members of the University of Göttingen. According to naive set theory, any definable collection is a set. Let R be the set of all sets that are not members of themselves. If R is not a member of itself, then its definition dictates that it must contain itself, and if it contains itself, then it contradicts its own definition as the set of all sets that are not members of themselves. This contradiction is Russell's paradox. Symbolically: In 1908, two ways of avoiding the paradox were proposed, Russell's type theory and the Zermelo set theory, the first constructed axiomatic set theory. Zermelo's axioms went well beyond Frege's axioms of extensionality and unlimited set abstraction, and evolved into the now-canonical Zermelo–Fraenkel set theory.
Numerology
Chaldean Numerology
The numerical value of russell's paradox in Chaldean Numerology is: 2
Pythagorean Numerology
The numerical value of russell's paradox in Pythagorean Numerology is: 6
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"russell's paradox." Definitions.net. STANDS4 LLC, 2024. Web. 26 Apr. 2024. <https://www.definitions.net/definition/russell%27s+paradox>.
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