Combining Texts

All the ideas for 'Laches', 'Frege on Apriority (with ps)' and 'The Philosophy of Logic'

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8 ideas

1. Philosophy / A. Wisdom / 3. Wisdom Deflated

291	Don't assume that wisdom is the automatic consequence of old age [Plato]

6. Mathematics / A. Nature of Mathematics / 2. Geometry

16901

The equivalent algebra model of geometry loses some essential spatial meaning [Burge]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity

18200

Very large sets should be studied in an 'if-then' spirit [Putnam]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic

16902

Peano arithmetic requires grasping 0 as a primitive number [Burge]

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics

18199

Indispensability strongly supports predicative sets, and somewhat supports impredicative sets [Putnam]

8857	We must quantify over numbers for science; but that commits us to their existence [Putnam]

12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori

16892

Is apriority predicated mainly of truths and proofs, or of human cognition? [Burge]

23. Ethics / C. Virtue Theory / 3. Virtues / d. Courage

293	Being unafraid (perhaps through ignorance) and being brave are two different things [Plato]