Combining Texts

All the ideas for 'Mathematics without Numbers', 'The Principles of Art' and 'Letter to G.H. Schaller'

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7 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]
16. Persons / F. Free Will / 5. Against Free Will
A thing is free if it acts only by the necessity of its own nature [Spinoza]
21. Aesthetics / B. Nature of Art / 4. Art as Expression
The emotion expressed is non-conscious, but feels oppressive until expression relieves it [Collingwood]
21. Aesthetics / B. Nature of Art / 7. Ontology of Art
Art exists ideally, purely as experiences in the mind of the perceiver [Collingwood, by Kemp]
21. Aesthetics / C. Artistic Issues / 6. Value of Art
Art clarifies the artist's mind and feelings, thus leading to self-knowledge [Collingwood, by Davies,S]