Combining Texts

All the ideas for 'fragments/reports', 'Continuity and Irrational Numbers' and 'Definitiones cogitationesque metaphysicae'

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7 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]
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
12712 Substance is that which can act [Leibniz]
14. Science / D. Explanation / 3. Best Explanation / b. Ultimate explanation
12737 Nature can be fully explained by final causes alone, or by efficient causes alone [Leibniz]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
468 Musical performance can reveal a range of virtues [Damon of Ath.]