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Ideas for 'Logic (Encyclopedia I)', 'What is Logic?st2=Ian Hacking' and 'The Ways of Paradox'

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8 ideas

5. Theory of Logic / L. Paradox / 3. Antinomies
15628 The idea that contradiction is essential to rational understanding is a key modern idea [Hegel]
15629 Tenderness for the world solves the antinomies; contradiction is in our reason, not in the essence of the world [Hegel]
15630 Antinomies are not just in four objects, but in all objects, all representations, all objects and all ideas [Hegel]
21691 Antinomies contradict accepted ways of reasoning, and demand revisions [Quine]
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 [Quine]
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? [Quine]
21694 Membership conditions which involve membership and non-membership are paradoxical [Quine]
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 [Quine]