Combining Texts

All the ideas for 'Mathematics without Numbers', 'The Logic of Infinity' and 'Essays on Intellectual Powers 1: Preliminary'

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8 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]

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism

18203

Avoid non-predicative classifications and definitions [Poincaré]

12. Knowledge Sources / E. Direct Knowledge / 1. Common Sense

23633

Many truths seem obvious, and point to universal agreement - which is what we find [Reid]

18. Thought / C. Content / 2. Ideas

23630

Only philosophers treat ideas as objects [Reid]

19. Language / A. Nature of Meaning / 9. Ambiguity

23629

The ambiguity of words impedes the advancement of knowledge [Reid]

26. Natural Theory / C. Causation / 1. Causation

23632

Similar effects come from similar causes, and causes are only what are sufficient for the effects [Reid]