Combining Texts

All the ideas for 'On the Foundations of Logic and Arithmetic', 'The Value of Knowledge and the Pursuit of Understanding' and 'An Essay on Free Will'

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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]
11. Knowledge Aims / A. Knowledge / 2. Understanding
Understanding is seeing coherent relationships in the relevant information [Kvanvig]
16. Persons / F. Free Will / 7. Compatibilism
Determinism clashes with free will, as the past determines action, and is beyond our control [Inwagen, by Jackson]