IGNOU MEC 103 2025 2026 - ) Russell's Paradox

Question

) Russell's Paradox

01 Dec 2025

Answer :

Word Count : 273

Russell's Paradox is a fundamental problem in set theory, discovered by the British philosopher and mathematician Bertrand Russell in 1901. It arises within naive set theory, which assumes that any definable collection can be considered a set. The paradox challenges this assumption by considering the set of all sets that do not contain themselves. If such a set exists, a contradiction emerges: if the set contains itself, it should not belong to itself, and if it does not contain itself, then by definition it should contain itself. This self-contradictory situation reveals an inconsistency in naive set

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