Combining Texts

All the ideas for 'Lectures on the History of Philosophy', 'Intro to 'Rationality in Greek Thought'' and 'works'

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6 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined

21757

Philosophy is the conceptual essence of the shape of history [Hegel]

2. Reason / A. Nature of Reason / 1. On Reason

23249

The early philosophers thought that reason has its own needs and desires [Frede,M]

6. Mathematics / A. Nature of Mathematics / 1. Mathematics

8717	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

10113

The grounding of mathematics is 'in the beginning was the sign' [Hilbert]

10115

Hilbert substituted a syntactic for a semantic account of consistency [Hilbert, by George/Velleman]

6. Mathematics / C. Sources of Mathematics / 8. Finitism

10116

Hilbert aimed to prove the consistency of mathematics finitely, to show infinities won't produce contradictions [Hilbert, by George/Velleman]