Combining Texts

All the ideas for 'Mathematics without Numbers', 'True to the Facts' and 'Causal Structuralism'

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12 ideas

3. Truth / A. Truth Problems / 5. Truth Bearers
Davidson takes truth to attach to individual sentences [Davidson, by Dummett]
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]
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
A categorical basis could hardly explain a disposition if it had no powers of its own [Hawthorne]
8. Modes of Existence / C. Powers and Dispositions / 5. Powers and Properties
Is the causal profile of a property its essence? [Hawthorne]
Could two different properties have the same causal profile? [Hawthorne]
If properties are more than their powers, we could have two properties with the same power [Hawthorne]
9. Objects / C. Structure of Objects / 2. Hylomorphism / b. Form as principle
We can treat the structure/form of the world differently from the nodes/matter of the world [Hawthorne]
9. Objects / D. Essence of Objects / 3. Individual Essences
An individual essence is a necessary and sufficient profile for a thing [Hawthorne]
26. Natural Theory / C. Causation / 7. Eliminating causation
Maybe scientific causation is just generalisation about the patterns [Hawthorne]
26. Natural Theory / D. Laws of Nature / 6. Laws as Numerical
We only know the mathematical laws, but not much else [Hawthorne]