Combining Philosophers

All the ideas for Jenny Teichmann, David H. Sanford and Michael Hallett

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10 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]
8. Modes of Existence / B. Properties / 1. Nature of Properties
9295 Not only substances have attributes; events, actions, states and qualities can have them [Teichmann]
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
8406 Not all explanations are causal, but if a thing can be explained at all, it can be explained causally [Sanford]
17. Mind and Body / A. Mind-Body Dualism / 2. Interactionism
9293 Body-spirit interaction ought to result in losses and increases of energy in the material world [Teichmann]
26. Natural Theory / C. Causation / 8. Particular Causation / c. Conditions of causation
8407 A totality of conditions necessary for an occurrence is usually held to be jointly sufficient for it [Sanford]
29. Religion / D. Religious Issues / 2. Immortality / b. Soul
9292 The Soul has no particular capacity (in the way thinking belongs to the mind) [Teichmann]
9294 No individuating marks distinguish between Souls [Teichmann]