Combining Texts

All the ideas for 'fragments/reports', 'Introduction to 'Hippias Minor'' and 'On the Foundations of Logic and Arithmetic'

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4 ideas

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
17697 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
17698 Logic already contains some arithmetic, so the two must be developed together [Hilbert]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
9548 A mathematical object exists if there is no contradiction in its definition [Waterfield]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / c. Ultimate substances
1497 For Anaximenes nature is air, which takes different forms by rarefaction and condensation [Anaximenes, by Simplicius]