Combining Philosophers

All the ideas for Lynch,MP/Glasgow,JM, Nicholas Rescher and Michael Hallett

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11 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]
7. Existence / B. Change in Existence / 2. Processes
22626 Process philosophy insists that processes are not inferior in being to substances [Rescher]
7. Existence / C. Structure of Existence / 3. Levels of Reality
16062 A necessary relation between fact-levels seems to be a further irreducible fact [Lynch/Glasgow]
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
16061 If some facts 'logically supervene' on some others, they just redescribe them, adding nothing [Lynch/Glasgow]
7. Existence / D. Theories of Reality / 6. Physicalism
16060 Nonreductive materialism says upper 'levels' depend on lower, but don't 'reduce' [Lynch/Glasgow]
16064 The hallmark of physicalism is that each causal power has a base causal power under it [Lynch/Glasgow]
9. Objects / C. Structure of Objects / 8. Parts of Objects / a. Parts of objects
10650 In the military, persons are parts of parts of large units, but not parts of those large units [Rescher]
27. Natural Reality / A. Classical Physics / 1. Mechanics / a. Explaining movement
20365 We only see points in motion, and thereby infer movement [Rescher]