Combining Texts

All the ideas for 'fragments/reports', 'Continuity and Irrational Numbers' and 'Against 'Ostrich Nominalism''

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8 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
17611 We want the essence of continuity, by showing its origin in arithmetic [Dedekind]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
10572 A cut between rational numbers creates and defines an irrational number [Dedekind]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
17612 Arithmetic is just the consequence of counting, which is the successor operation [Dedekind]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
18087 If x changes by less and less, it must approach a limit [Dedekind]
7. Existence / D. Theories of Reality / 3. Reality
8507 Some think of reality as made of things; I prefer facts or states of affairs [Armstrong]
8. Modes of Existence / D. Universals / 1. Universals
8506 Particulars and properties are distinguishable, but too close to speak of a relation [Armstrong]
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
8505 Refusal to explain why different tokens are of the same type is to be an ostrich [Armstrong]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
468 Musical performance can reveal a range of virtues [Damon of Ath.]