Combining Texts

All the ideas for 'works', 'Notice of Fine's 'Limits of Abstraction'' and 'On the Foundations of Logic and Arithmetic'

expand these ideas     |    start again     |     specify just one area for these texts


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]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
Abstraction theories build mathematics out of second-order equivalence principles [Cook/Ebert]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
Unlike us, the early Greeks thought envy was a good thing, and hope a bad thing [Hesiod, by Nietzsche]