Ideas from 'The Ways of Paradox' by Willard Quine [1961], by Theme Structure
[found in 'Ways of Paradox and other essays' by Quine,Willard [Harvard 1976,0-674-94837-8]].
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4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
21695
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The set scheme discredited by paradoxes is actually the most natural one
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4. Formal Logic / F. Set Theory ST / 7. Natural Sets
21693
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Russell's antinomy challenged the idea that any condition can produce a set
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5. Theory of Logic / L. Paradox / 3. Antinomies
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Antinomies contradict accepted ways of reasoning, and demand revisions
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5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / a. Achilles paradox
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Whenever the pursuer reaches the spot where the pursuer has been, the pursued has moved on
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5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / d. Russell's paradox
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A barber shaves only those who do not shave themselves. So does he shave himself?
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Membership conditions which involve membership and non-membership are paradoxical
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5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
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If we write it as '"this sentence is false" is false', there is no paradox
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