Combining Texts

All the ideas for 'There is no question of physicalism', 'What Numbers Are' and 'The Structure of Paradoxes of Self-Reference'

expand these ideas     |    start again     |     specify just one area for these texts


14 ideas

5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
Löwenheim-Skolem says any theory with a true interpretation has a model in the natural numbers [White,NP]
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]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Finite cardinalities don't need numbers as objects; numerical quantifiers will do [White,NP]
7. Existence / D. Theories of Reality / 6. Physicalism
Some suggest that materialism is empty, because 'physical' cannot be properly characterized [Mellor/Crane, by Papineau]
15. Nature of Minds / A. Nature of Mind / 3. Mental Causation
Causation depends on intrinsic properties [Mellor/Crane]
17. Mind and Body / D. Property Dualism / 2. Anomalous Monism
There are many psychophysicals laws - about the effects of sweets, colours and soft cushions [Mellor/Crane]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / a. Physicalism critique
No defences of physicalism can deprive psychology of the ontological authority of other sciences [Mellor/Crane]