Combining Texts

All the ideas for 'Laches', 'The Nature of Universals and Propositions' and 'Mathematics without Foundations'

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9 ideas

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

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

4. Formal Logic / F. Set Theory ST / 3. Types of Set / d. Infinite Sets

9944	We understand some statements about all sets [Putnam]

6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics

9937	I do not believe mathematics either has or needs 'foundations' [Putnam]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers

9939	It is conceivable that the axioms of arithmetic or propositional logic might be changed [Putnam]

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism

9940	Maybe mathematics is empirical in that we could try to change it [Putnam]

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

9941	Science requires more than consistency of mathematics [Putnam]

7. Existence / D. Theories of Reality / 4. Anti-realism

9943	You can't deny a hypothesis a truth-value simply because we may never know it! [Putnam]

8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes

8511	Stout first explicitly proposed that properties and relations are particulars [Stout,GF, by Campbell,K]

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

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