Combining Texts

All the ideas for 'Mathematics without Numbers', 'works' and 'Modal Realism at Work: Properties'

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5 ideas

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism

8698	Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]

9557	Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]

10263

Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]

8. Modes of Existence / B. Properties / 11. Properties as Sets

4038	Properties are sets of their possible instances (which separates 'renate' from 'cordate') [Lewis, by Mellor/Oliver]

21. Aesthetics / B. Nature of Art / 4. Art as Expression

8120	Objects can be beautiful which express nothing at all, such as the rainbow [Herbart, by Tolstoy]