Combining Texts

All the ideas for 'Mathematics without Numbers', 'Some Puzzles of Ground' and 'Recent Aesthetics in England and America'

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7 ideas

4. Formal Logic / E. Nonclassical Logics / 3. Many-Valued Logic
Strong Kleene disjunction just needs one true disjunct; Weak needs the other to have some value [Fine,K]
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 / 1. Grounding / a. Nature of grounding
Formal grounding needs transitivity of grounding, no self-grounding, and the existence of both parties [Fine,K]
21. Aesthetics / A. Aesthetic Experience / 1. Aesthetics
Aesthetics has risen and fallen with Romanticism [Scruton]
21. Aesthetics / A. Aesthetic Experience / 2. Aesthetic Attitude
Aesthetic experience informs the world with the values of the observer [Scruton]