Combining Texts

All the ideas for 'Mathematics without Numbers', 'talk' and 'Proof of an External World'

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5 ideas

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 / 2. Common Sense Certainty

6349	I can prove a hand exists, by holding one up, pointing to it, and saying 'here is one hand' [Moore,GE]

14. Science / C. Induction / 5. Paradoxes of Induction / b. Raven paradox

7006	Observing irrelevant items supports both 'all x are y' and 'all x are non-y', revealing its absurdity [Schofield,J]