Combining Philosophers

All the ideas for DH Mellor / A Oliver, Michael Hallett and St Mark

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9 ideas

2. Reason / B. Laws of Thought / 6. Ockham's Razor

4037	Ockham's Razor is the principle that we need reasons to believe in entities [Mellor/Oliver]

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 / 6. Categorical Properties

4027	Properties are respects in which particular objects may be alike or differ [Mellor/Oliver]

8. Modes of Existence / B. Properties / 12. Denial of Properties

4029	Nominalists ask why we should postulate properties at all [Mellor/Oliver]

18. Thought / E. Abstraction / 5. Abstracta by Negation

4039	Abstractions lack causes, effects and spatio-temporal locations [Mellor/Oliver]

28. God / B. Proving God / 3. Proofs of Evidence / e. Miracles

20716

False prophets will perform wonders to deceive even the elect [Mark]