Combining Texts

All the ideas for 'Philosophical Letters from England', 'Entity and Identity' and 'Introduction to Zermelo's 1930 paper'

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7 ideas

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]

9. Objects / A. Existence of Objects / 2. Abstract Objects / b. Need for abstracta

16980

We need a logical use of 'object' as predicate-worthy, and an 'ontological' use [Strawson,P]

9. Objects / D. Essence of Objects / 3. Individual Essences

16979

It makes no sense to ask of some individual thing what it is that makes it that individual [Strawson,P]

23. Ethics / B. Contract Ethics / 2. Golden Rule

7844	The Golden Rule is accepted everywhere, and gives a fixed target for morality [Voltaire]