Combining Texts

All the ideas for 'Philosophical Explanations', 'Metaphysics: a very short introduction' and 'Mathematics: Form and Function'

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7 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
18189 ZFC could contain a contradiction, and it can never prove its own consistency [MacLane]
9. Objects / B. Unity of Objects / 2. Substance / a. Substance
18617 Substances, unlike aggregates, can survive a change of parts [Mumford]
10. Modality / B. Possibility / 3. Combinatorial possibility
18618 Maybe possibilities are recombinations of the existing elements of reality [Mumford]
18619 Combinatorial possibility has to allow all elements to be combinable, which seems unlikely [Mumford]
18620 Combinatorial possibility relies on what actually exists (even over time), but there could be more [Mumford]
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]