Combining Texts

All the ideas for 'The Wanderer and his Shadow', 'On the Foundations of Logic and Arithmetic' and 'Kant's Analytic'

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4 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]
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / b. Limited purposes
The end need not be the goal, as in the playing of a melody (and yet it must be completed) [Nietzsche]
27. Natural Reality / C. Space / 4. Substantival Space
Empty space is measurable in ways in which empty time necessarily is not [Bennett, by Shoemaker]