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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. Russell's paradox shows that every set theory that contains an unrestricted comprehension principle leads to contradictions.
Dec 8, 1995 · First published Fri Dec 8, 1995; substantive revision Mon Oct 12, 2020. Russell’s paradox is the most famous of the logical or set-theoretical paradoxes. Also known as the Russell-Zermelo paradox, the paradox arises within naïve set theory by considering the set of all sets that are not members of themselves.
- Andrew David Irvine, Harry Deutsch
- 1995
Aug 17, 1998 · BERTRAND RUSSELL confounded mathematicians when he published his famous paradox in 1903. Bertrand Russell's discovery of this paradox in 1901 dealt a blow to one of his fellow...
Russell’s paradox, statement in set theory, devised by the English mathematician-philosopher Bertrand Russell, that demonstrated a flaw in earlier efforts to axiomatize the subject. Russell found the paradox in 1901 and communicated it in a letter to the German mathematician-logician Gottlob Frege.
Dec 22, 2022 · Dec 22, 2022 • By Luke Dunne, BA Philosophy & Theology. Bertrand Russell, one of the most influential mathematicians, logicians, and philosophers of the 20th century, gives his name to one of the most famous and influential logical paradoxes of the modern period. Whereas some of the ancient paradoxes, most famously those developed by Zeno ...
- Luke Dunne
Learn about the logical antinomies discovered by Bertrand Russell in 1901, involving classes or sets and properties. Explore the history, possible solutions and implications of the paradox for logic and metaphysics.
Dec 8, 1995 · Similarly, if R is not a member of itself, then by definition it must be a member of itself. Discovered by Bertrand Russell in 1901, the paradox has prompted much work in logic, set theory and the philosophy and foundations of mathematics. History of the paradox. Significance of the paradox.
