Combining Texts

All the ideas for 'Scientific Explanation', 'Letters to Jacques Lenfant' and 'Continuity and Irrational Numbers'

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6 ideas

2. Reason / F. Fallacies / 4. Circularity
9355 One sort of circularity presupposes a premise, the other presupposes a rule being used [Braithwaite, by Devitt]
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]
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
12723 The most primitive thing in substances is force, which leads to their actions and dispositions [Leibniz]