Combining Texts

All the ideas for 'Mathematics without Numbers', 'fragments/reports' and 'Knowledge by Acquaintance and Description-1'

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8 ideas

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
8698 Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
9557 Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
10263 Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]
7. Existence / A. Nature of Existence / 3. Being / d. Non-being
18933 Not-Being obviously doesn't exist, and the five modes of Being are all impossible [Gorgias, by Diog. Laertius]
8. Modes of Existence / D. Universals / 2. Need for Universals
21710 We know a universal in 'yellow differs from blue' or 'yellow resembles blue less than green does' [Russell]
12. Knowledge Sources / B. Perception / 4. Sense Data / d. Sense-data problems
8854 My 'acquaintance' with sense-data is nothing like my knowing New York [Williams,M on Russell]
19. Language / F. Communication / 1. Rhetoric
9866 Gorgias says rhetoric is the best of arts, because it enslaves without using force [Gorgias, by Plato]
5864 Destroy seriousness with laughter, and laughter with seriousness [Gorgias]