Ideas of Michael Hallett, by Theme
[British, fl. 1996, Professor at McGill University, Montreal.]
green numbers give full details |
back to list of philosophers |
expand these 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
|
17834
|
Non-categoricity reveals a sort of incompleteness, with sets existing that the axioms don't reveal
|
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
17837
|
Zermelo allows ur-elements, to enable the widespread application of set-theory
|
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
|