Combining Texts

All the ideas for 'Philosophical Explanations', 'Introduction to Russell's Theory of Types' and 'Recent Debates on the A Priori'

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

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4 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility

18170

The Axiom of Reducibility is self-effacing: if true, it isn't needed [Quine]

6. Mathematics / A. Nature of Mathematics / 1. Mathematics

9226	If mathematical theories conflict, it may just be that they have different subject matter [Field,H]

11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs

3570	Maybe knowledge is belief which 'tracks' the truth [Nozick, by Williams,M]

13. Knowledge Criteria / C. External Justification / 4. Tracking the Facts

2748	A true belief isn't knowledge if it would be believed even if false. It should 'track the truth' [Nozick, by Dancy,J]