Combining Texts

All the ideas for 'Set Theory and related topics (2nd ed)', 'What is innate and why' and 'Remarks on the definition and nature of mathematics'

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6 ideas

4. Formal Logic / F. Set Theory ST / 3. Types of Set / e. Equivalence classes
8920 Equivalence relations are reflexive, symmetric and transitive, and classify similar objects [Lipschutz]
5. Theory of Logic / E. Structures of Logic / 8. Theories in Logic
17807 To study formal systems, look at the whole thing, and not just how it is constructed in steps [Curry]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
17806 It is untenable that mathematics is general physical truths, because it needs infinity [Curry]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
17808 Saying mathematics is logic is merely replacing one undefined term by another [Curry]
18. Thought / B. Mechanics of Thought / 4. Language of Thought
2605 If everything uses mentalese, ALL concepts must be innate! [Putnam]
2606 No machine language can express generalisations [Putnam]