Combining Texts

All the ideas for 'Mathematics without Numbers', 'Letter to Weber' and 'The Life of Reason'

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5 ideas

1. Philosophy / C. History of Philosophy / 1. History of Philosophy

8000	He who is ignorant of the history of philosophy is doomed to repeat it [Santayana, by MacIntyre]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts

18244

I say the irrational is not the cut itself, but a new creation which corresponds to the cut [Dedekind]

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]