Combining Philosophers

All the ideas for Speussipus, A.R. Hall and Michael Hallett

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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 / B. Unity of Objects / 2. Substance / c. Types of substance

594	Speusippus suggested underlying principles for every substance, and ended with a huge list [Speussipus, by Aristotle]

26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature

5470	The idea of laws of nature arose in the Middle Ages [Hall,AR, by Ellis]

28. God / C. Attitudes to God / 5. Atheism

2632	Speusippus said things were governed by some animal force rather than the gods [Speussipus, by Cicero]