Combining Texts

All the ideas for 'Mathematics without Numbers', 'Artistic Value and Opportunistic Moralism' and 'Comments on a Certain Broadsheet'

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10 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]
12. Knowledge Sources / A. A Priori Knowledge / 4. A Priori as Necessities
What experience could prove 'If a=c and b=c then a=b'? [Descartes]
18. Thought / D. Concepts / 2. Origin of Concepts / c. Nativist concepts
The mind's innate ideas are part of its capacity for thought [Descartes]
Qualia must be innate, because physical motions do not contain them [Descartes]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
The works we value most are in sympathy with our own moral views [John,E]
We should understand what is morally important in a story, without having to endorse it [John,E]
We value morality in art because that is what we care about - but it is a contingent fact [John,E]
A work can be morally and artistically excellent, despite rejecting moral truth [John,E]