Combining Texts

All the ideas for 'A Puzzle Concerning Matter and Form', 'Reply to Professor Marcus' and 'Mathematics without Numbers'

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5 ideas

5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Either reference really matters, or we don't need to replace it with substitutions [Quine]
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 / 4. Powers as Essence
The possible Aristotelian view that forms are real and active principles is clearly wrong [Fine,K, by Pasnau]