Combining Texts

All the ideas for 'Leibniz', 'Necessary Truth' 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]

9. Objects / F. Identity among Objects / 7. Indiscernible Objects

7566	The Identity of Indiscernibles is really the same as the verification principle [Jolley]

10. Modality / A. Necessity / 11. Denial of Necessity

4577	There is no necessity higher than natural necessity, and that is just regularity [Quine]