Combining Texts

All the ideas for 'Lectures on the History of Philosophy', 'Mathematics without Numbers' and 'Reply to Second Objections'

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5 ideas

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

21757

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

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism

8698	Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]

9557	Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]

10263

Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]

11. Knowledge Aims / B. Certain Knowledge / 4. The Cogito

3622	The Cogito is not a syllogism but a self-evident intuition [Descartes]