Combining Texts

All the ideas for 'Mathematics without Numbers', 'Quaestiones de Potentia Dei' and 'Introduction to Aesthetics'

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5 ideas

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]
9. Objects / B. Unity of Objects / 1. Unifying an Object / b. Unifying aggregates
'One' can mean undivided and not a multitude, or it can add measurement, giving number [Aquinas]
21. Aesthetics / B. Nature of Art / 6. Art as Institution
The institutional theory says only a competent expert can decree something to be an art work [Dickie, by Gardner]