Combining Texts

All the ideas for 'Universals and Particulars', 'Proof of an External World' 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]
8. Modes of Existence / D. Universals / 6. Platonic Forms / c. Self-predication
Most thinkers now reject self-predication (whiteness is NOT white) so there is no Third Man problem [Armstrong]
11. Knowledge Aims / B. Certain Knowledge / 2. Common Sense Certainty
I can prove a hand exists, by holding one up, pointing to it, and saying 'here is one hand' [Moore,GE]