Combining Texts

All the ideas for 'Isagoge ('Introduction')', 'works' and 'Rationality'

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7 ideas

6. Mathematics / A. Nature of Mathematics / 1. Mathematics
Hilbert wanted to prove the consistency of all of mathematics (which realists take for granted) [Hilbert, by Friend]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
The grounding of mathematics is 'in the beginning was the sign' [Hilbert]
Hilbert substituted a syntactic for a semantic account of consistency [Hilbert, by George/Velleman]
6. Mathematics / C. Sources of Mathematics / 8. Finitism
Hilbert aimed to prove the consistency of mathematics finitely, to show infinities won't produce contradictions [Hilbert, by George/Velleman]
8. Modes of Existence / D. Universals / 1. Universals
Are genera and species real or conceptual? bodies or incorporeal? in sensibles or separate from them? [Porphyry]
12. Knowledge Sources / E. Direct Knowledge / 4. Memory
The ancient Memorists said virtually all types of thinking could be done simply by memory [Sorabji]
Stoics say true memory needs reflection and assent, but animals only have perceptual recognition [Sorabji]