Combining Texts

All the ideas for 'Laches', 'Many, but almost one' and 'Introduction to Zermelo's 1930 paper'

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10 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 / 4. Axioms for Sets / a. Axioms for sets

17833

The first-order ZF axiomatisation is highly non-categorical [Hallett,M]

17834

Non-categoricity reveals a sort of incompleteness, with sets existing that the axioms don't reveal [Hallett,M]

4. Formal Logic / F. Set Theory ST / 7. Natural Sets

17837

Zermelo allows ur-elements, to enable the widespread application of set-theory [Hallett,M]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis

17836

The General Continuum Hypothesis and its negation are both consistent with ZF [Hallett,M]

7. Existence / D. Theories of Reality / 10. Vagueness / d. Vagueness as linguistic

15538

Semantic indecision explains vagueness (if we have precisifications to be undecided about) [Lewis]

9. Objects / B. Unity of Objects / 3. Unity Problems / b. Cat and its tail

15537

If cats are vague, we deny that the many cats are one, or deny that the one cat is many [Lewis]

9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects

15536

We have one cloud, but many possible boundaries and aggregates for it [Lewis]

19. Language / F. Communication / 6. Interpreting Language / c. Principle of charity

15539

Basic to pragmatics is taking a message in a way that makes sense of it [Lewis]

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

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