Combining Philosophers

All the ideas for Antiphon, Michael Hallett and Critias

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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]

22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention

536	We should follow the law in public, and nature in private [Antiphon]

1557	To gain the greatest advantage only treat law as important when other people are present [Antiphon]

23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character

541	Virtue comes more from habit than character [Critias]

540	The way you spend your time will form your character [Antiphon]

24. Political Theory / D. Ideologies / 2. Anarchism

539	Nothing is worse for mankind than anarchy [Antiphon]

28. God / C. Attitudes to God / 5. Atheism

542	Fear of the gods was invented to discourage secret sin [Critias]