Combining Texts

All the ideas for 'fragments/reports', 'Contextualism Contested (and reply)' and 'Mathematics without Numbers'

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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]
13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / a. Contextualism
People begin to doubt whether they 'know' when the answer becomes more significant [Conee]
13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / b. Invariantism
Maybe low knowledge standards are loose talk; people will deny that it is 'really and truly' knowledge [Conee]
Maybe knowledge has fixed standards (high, but attainable), although people apply contextual standards [Conee]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]