Combining Philosophers

All the ideas for Hecato, Michael Hallett and Einstein,A/Infeld,L

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6 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]

23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues

6004	The cardinal virtues are theoretical (based on knowledge), and others are 'non-theoretical' [Hecato, by Dorandi]

27. Natural Reality / B. Modern Physics / 2. Electrodynamics / b. Fields

18202

The concept of a field gradually replaced the substances in explaining relations between charges [Einstein/Infeld]