Combining Texts

All the ideas for 'Mathematics without Numbers', 'Concepts and Counting' and 'Public Text and Common Reader'

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10 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
A single object must not be counted twice, which needs knowledge of distinctness (negative identity) [Rumfitt]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
Some 'how many?' answers are not predications of a concept, like 'how many gallons?' [Rumfitt]
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]
21. Aesthetics / A. Aesthetic Experience / 3. Taste
Literary meaning emerges in comparisons, and tradition shows which comparisons are relevant [Scruton]
21. Aesthetics / B. Nature of Art / 5. Art as Language
In literature, word replacement changes literary meaning [Scruton]
21. Aesthetics / C. Artistic Issues / 1. Artistic Intentions
Without intentions we can't perceive sculpture, but that is not the whole story [Scruton]
21. Aesthetics / C. Artistic Issues / 3. Artistic Representation
In aesthetic interest, even what is true is treated as though it were not [Scruton]
21. Aesthetics / C. Artistic Issues / 5. Objectivism in Art
We can be objective about conventions, but love of art is needed to understand its traditions [Scruton]