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

The set scheme discredited by paradoxes is actually the most natural one

4. Formal Logic / F. Set Theory ST / 7. Natural Sets

21693

Russell's antinomy challenged the idea that any condition can produce a set

5. Theory of Logic / L. Paradox / 3. Antinomies

21691

Antinomies contradict accepted ways of reasoning, and demand revisions

5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / a. Achilles paradox

21690

Whenever the pursuer reaches the spot where the pursuer has been, the pursued has moved on

5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / d. Russell's paradox

21689

A barber shaves only those who do not shave themselves. So does he shave himself?

21694

Membership conditions which involve membership and non-membership are paradoxical

5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox

21692

If we write it as '"this sentence is false" is false', there is no paradox