Combining Philosophers

All the ideas for Anaxarchus, Michael Hallett and Mary Louise Gill

expand these ideas     |    start again     |     specify just one area for these philosophers

8 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 / C. Structure of Objects / 3. Matter of an Object
16083 Aristotelian matter seriously threatens the intrinsic unity and substantiality of its object [Gill,ML]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
3061 Anaxarchus said that he was not even sure that he knew nothing [Anaxarchus, by Diog. Laertius]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / b. Prime matter
17006 Prime matter has no place in Aristotle's theories, and passages claiming it are misread [Gill,ML]
16093 Prime matter is actually nothing and potentially everything (or potentially an element) [Gill,ML]