Combining Texts

All the ideas for 'works', 'Purple Haze' and 'The Structure of Paradoxes of Self-Reference'

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12 ideas

5. Theory of Logic / L. Paradox / 1. Paradox
Typically, paradoxes are dealt with by dividing them into two groups, but the division is wrong [Priest,G]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / b. König's paradox
The 'least indefinable ordinal' is defined by that very phrase [Priest,G]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / c. Berry's paradox
'x is a natural number definable in less than 19 words' leads to contradiction [Priest,G]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / d. Richard's paradox
By diagonalization we can define a real number that isn't in the definable set of reals [Priest,G]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / c. Burali-Forti's paradox
The least ordinal greater than the set of all ordinals is both one of them and not one of them [Priest,G]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / e. Mirimanoff's paradox
The next set up in the hierarchy of sets seems to be both a member and not a member of it [Priest,G]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
There are Liar Pairs, and Liar Chains, which fit the same pattern as the basic Liar [Priest,G]
If you know that a sentence is not one of the known sentences, you know its truth [Priest,G]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / a. Physicalism critique
Do new ideas increase the weight of the brain? [Dance]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / d. Explanatory gap
Even if we identify pain with neural events, we can't explain why those neurons cause that feeling [Levine, by Papineau]
Only phenomenal states have an explanatory gap; water is fully explained by H2O [Levine, by Papineau]
Materialism won't explain phenomenal properties, because the latter aren't seen in causal roles [Papineau on Levine]