Combining Philosophers

All the ideas for Hermarchus, Eric T. Olson and Michael Hallett

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7 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]

16. Persons / B. Nature of the Self / 7. Self and Body / a. Self needs body

16236

Maybe our persistence conditions concern bodies, rather than persons [Olson, by Hawley]

6669	For 'animalism', I exist before I became a person, and can continue after it, so I am not a person [Olson, by Lowe]

25. Social Practice / F. Life Issues / 6. Animal Rights

6005	Animals are dangerous and nourishing, and can't form contracts of justice [Hermarchus, by Sedley]