Combining Philosophers
Ideas for Rescher,N/Oppenheim,P, Walter Burley and Bertrand Russell
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11 ideas
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / a. Achilles paradox
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To solve Zeno's paradox, reject the axiom that the whole has more terms than the parts [Russell]
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The Achilles Paradox concerns the one-one correlation of infinite classes [Russell]
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The tortoise won't win, because infinite instants don't compose an infinitely long time [Russell]
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5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / d. Richard's paradox
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Richard's puzzle uses the notion of 'definition' - but that cannot be defined [Russell]
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5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / c. Burali-Forti's paradox
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Russell discovered the paradox suggested by Burali-Forti's work [Russell, by Lavine]
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5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / d. Russell's paradox
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Russell's Paradox is a stripped-down version of Cantor's Paradox [Priest,G on Russell]
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Russell's paradox means we cannot assume that every property is collectivizing [Potter on Russell]
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The class of classes which lack self-membership leads to a contradiction [Russell, by Grayling]
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5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
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Vicious Circle: what involves ALL must not be one of those ALL [Russell]
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'All judgements made by Epimenedes are true' needs the judgements to be of the same type [Russell]
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5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / c. Grelling's paradox
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A 'heterological' predicate can't be predicated of itself; so is 'heterological' heterological? Yes=no! [Russell]
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