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Russell's paradox - Wikipedia

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In mathematical logic, Russell's paradox (also known as Russell's antinomy) is a set-theoretic paradox published by the British philosopher and mathematician Bertrand Russell in 1901.[1][2] Russell's paradox shows that every set theory that contains an unrestricted comprehension principle leads to contradictions.[3] The paradox had already been discovered independently in 1899 by the German mathematician Ernst Zermelo.[4] However, Zermelo did not publish the idea, which remained known only to David Hilbert, Edmund Husserl, and other academics at the University of Göttingen. At the end of the 1890s, Georg Cantor – considered the founder of modern set theory – had already realized that his theory would lead to a contradiction, as he told Hilbert and Richard Dedekind by letter.[5] According to the unrestricted comprehension principle, for any sufficiently well-defined property, there is the set of all and only the objects that have that property. Let R be the set of all sets that are not

Russell's paradox - Wikipedia Jump to content From Wikipedia, the free encyclopedia Paradox in set theory This article is part of a series about Bertrand Russell Views on philosophy Views on society ( Peace Foundation ) Professorship of Philosophy Appointment court case Russell's paradox Peano–Russell notation Copleston–Russell debate Russell–Einstein Manifesto Russell Tribunal Russell's teapot Theory of descriptions Logical atomism v t e In mathematical logic , Russell's paradox (also known as Russell's antinomy ) is a set-theoretic paradox published by the British philosopher and mathematici

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