Russell's Paradox
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MATHEMATICS
Mathematical Logic
Russell's Paradox
A simple question about sets revealed a fundamental flaw shaking the foundations of mathematics
3 days ago
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Why did Russell's paradox force mathematicians to develop new axiomatic set theories?
Because it showed that allowing any definable collection to be a set leads to contradictions
Because it proved that all sets must contain themselves
Because it demonstrated that set theory is unnecessary for mathematics
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JOHN_BASH
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MATHEMATICS
Mathematical Logic
Russell's Paradox
Russell's paradox revealed fundamental contradictions in naive set theory, reshaping mathematical logic
20 Jan 2026
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What fundamental issue does Russell's paradox expose in naive set theory?
That all sets must contain themselves to avoid paradoxes
That unrestricted set formation leads to logical contradictions
That sets cannot be defined by any property or condition
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MATHEMATICS
Mathematical Logic
Russell's Paradox
Russell's paradox revealed fundamental contradictions in naive set theory, reshaping mathematical logic
16 Nov 2025
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What fundamental assumption in naive set theory does Russell's paradox directly challenge?
The existence of infinite sets
The axiom of choice allowing selection from any collection of sets
The unrestricted comprehension principle allowing any definable collection to form a set
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