Combining Texts

All the ideas for 'Mathematics without Numbers', 'works' and 'Introduction to Philosophical Papers I'

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5 ideas

1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
I tried to be unsystematic and piecemeal, but failed; my papers presuppose my other views [Lewis]
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]
21. Aesthetics / B. Nature of Art / 4. Art as Expression
Objects can be beautiful which express nothing at all, such as the rainbow [Herbart, by Tolstoy]