Combining Philosophers

All the ideas for Roger Penrose, Michael Hallett and John Austin

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6 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]

15. Nature of Minds / B. Features of Minds / 1. Consciousness / e. Cause of consciousness

4921	Quantum states in microtubules could bind brain activity to produce consciousness [Penrose]

25. Social Practice / D. Justice / 2. The Law / d. Legal positivism

20930

The existence of law is one thing, its merits and demerits another [Austin,J]