Combining Texts

All the ideas for 'Science and Method', 'Vagaries of Definition' and 'Concepts and Counting'

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6 ideas

6. Mathematics / A. Nature of Mathematics / 2. Geometry
10245 One geometry cannot be more true than another [Poincaré]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
17462 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
17461 Some 'how many?' answers are not predications of a concept, like 'how many gallons?' [Rumfitt]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
8203 All the arithmetical entities can be reduced to classes of integers, and hence to sets [Quine]
19. Language / A. Nature of Meaning / 10. Denial of Meanings
8202 Meaning is essence divorced from things and wedded to words [Quine]
19. Language / E. Analyticity / 4. Analytic/Synthetic Critique
8201 The distinction between meaning and further information is as vague as the essence/accident distinction [Quine]