Combining Texts

All the ideas for 'The Internalist Conception of Justification', 'Proof that every set can be well-ordered' and 'works'

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


4 ideas

2. Reason / A. Nature of Reason / 6. Coherence
If the only aim was consistent beliefs then new evidence and experiments would be irrelevant [Goldman]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
Zermelo made 'set' and 'member' undefined axioms [Zermelo, by Chihara]
For Zermelo's set theory the empty set is zero and the successor of each number is its unit set [Zermelo, by Blackburn]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / e. Countable infinity
Zermelo realised that Choice would facilitate the sort of 'counting' Cantor needed [Zermelo, by Lavine]