Combining Texts

All the ideas for 'Mathematics without Numbers', 'Postscripts on supervenience' and 'De Essentia'

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6 ideas

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]
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
Supervenience is just a 'surface' relation of pattern covariation, which still needs deeper explanation [Kim]
Supervenience is not a dependence relation, on the lines of causal, mereological or semantic dependence [Kim]
9. Objects / A. Existence of Objects / 5. Individuation / d. Individuation by haecceity
A snowball's haecceity is the property of being identical with itself [Plantinga, by Westerhoff]