Combining Texts

All the ideas for 'Mathematics without Numbers', 'works' and 'What Does It All Mean?'

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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]

19. Language / A. Nature of Meaning / 6. Meaning as Use

4001	The meaning of a word contains all its possible uses as well as its actual ones [Nagel]

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]