Combining Philosophers
Ideas for Eubulides, Diogenes (Apoll) and Graham Priest
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11 ideas
5. Theory of Logic / L. Paradox / 1. Paradox
6007
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If you know your father, but don't recognise your father veiled, you know and don't know the same person [Eubulides, by Dancy,R]
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13373
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Typically, paradoxes are dealt with by dividing them into two groups, but the division is wrong [Priest,G]
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5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / b. König's paradox
13368
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The 'least indefinable ordinal' is defined by that very phrase [Priest,G]
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5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / c. Berry's paradox
13370
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'x is a natural number definable in less than 19 words' leads to contradiction [Priest,G]
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5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / d. Richard's paradox
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By diagonalization we can define a real number that isn't in the definable set of reals [Priest,G]
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5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / c. Burali-Forti's paradox
13366
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The least ordinal greater than the set of all ordinals is both one of them and not one of them [Priest,G]
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5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / e. Mirimanoff's paradox
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The next set up in the hierarchy of sets seems to be both a member and not a member of it [Priest,G]
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5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
13371
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If you know that a sentence is not one of the known sentences, you know its truth [Priest,G]
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13372
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There are Liar Pairs, and Liar Chains, which fit the same pattern as the basic Liar [Priest,G]
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6006
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If you say truly that you are lying, you are lying [Eubulides, by Dancy,R]
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5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / b. The Heap paradox ('Sorites')
6008
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Removing one grain doesn't destroy a heap, so a heap can't be destroyed [Eubulides, by Dancy,R]
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