Combining Texts

All the ideas for 'Scattered Objects', 'Mechanism, purpose and explan. exclusion' and 'On the Foundations of Logic and Arithmetic'

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5 ideas

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
The existence of an arbitrarily large number refutes the idea that numbers come from experience [Hilbert]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Logic already contains some arithmetic, so the two must be developed together [Hilbert]
9. Objects / B. Unity of Objects / 3. Unity Problems / a. Scattered objects
Clearly a pipe can survive being taken apart [Cartwright,R]
Bodies don't becomes scattered by losing small or minor parts [Cartwright,R]
14. Science / D. Explanation / 1. Explanation / a. Explanation
Explanatory exclusion: there cannot be two separate complete explanations of a single event [Kim]