Combining Texts

All the ideas for 'Posthumous notes', 'Letters to Samuel Masson' and 'Mathematics without Numbers'

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5 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite
I don't admit infinite numbers, and consider infinitesimals to be useful fictions [Leibniz]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
Transcendental philosophy is the subject becoming the originator of unified reality [Kant]