Combining Texts

All the ideas for 'Scattered Objects', 'Mechanism, purpose and explan. exclusion' and 'Continuity and Irrational Numbers'

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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 / 3. Unity Problems / a. Scattered objects
14961 Clearly a pipe can survive being taken apart [Cartwright,R]
14962 Bodies don't becomes scattered by losing small or minor parts [Cartwright,R]
14. Science / D. Explanation / 1. Explanation / a. Explanation
14470 Explanatory exclusion: there cannot be two separate complete explanations of a single event [Kim]