Combining Philosophers
Ideas for H.Putnam/P.Oppenheim, Thomas Nagel and Willard Quine
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6 ideas
5. Theory of Logic / L. Paradox / 3. Antinomies
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Antinomies contradict accepted ways of reasoning, and demand revisions [Quine]
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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 [Quine]
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5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / a. Set theory paradoxes
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Set theory was struggling with higher infinities, when new paradoxes made it baffling [Quine]
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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? [Quine]
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Membership conditions which involve membership and non-membership are paradoxical [Quine]
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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 [Quine]
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