Combining Texts

All the ideas for 'Mathematics without Numbers', 'Individuals in Aristotle' and 'works'

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6 ideas

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]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
The 'simple theory of types' distinguishes levels among properties [Ramsey, by Grayling]
9. Objects / E. Objects over Time / 9. Ship of Theseus
Insurance on the original ship would hardly be paid out if the plank version was wrecked! [Frede,M]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
Beliefs are maps by which we steer [Ramsey]