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All the ideas for 'Mathematics without Numbers', 'works' and 'There is no question of physicalism'

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11 ideas

6. Mathematics / A. Nature of Mathematics / 1. Mathematics
Hilbert wanted to prove the consistency of all of mathematics (which realists take for granted) [Hilbert, by Friend]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
The grounding of mathematics is 'in the beginning was the sign' [Hilbert]
Hilbert substituted a syntactic for a semantic account of consistency [Hilbert, by George/Velleman]
6. Mathematics / C. Sources of Mathematics / 8. Finitism
Hilbert aimed to prove the consistency of mathematics finitely, to show infinities won't produce contradictions [Hilbert, by George/Velleman]
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]