Combining Texts

All the ideas for 'fragments/reports', 'On Perceptions' 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]
11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism
If we are dreaming, it is sufficient that the events are coherent, and obey laws [Leibniz]
14. Science / A. Basis of Science / 4. Prediction
Successful prediction shows proficiency in nature [Leibniz]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]