Combining Philosophers

All the ideas for Benjamin Constant, Michael Hallett and Myles F. Burnyeat

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7 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
The first-order ZF axiomatisation is highly non-categorical [Hallett,M]
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
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
The General Continuum Hypothesis and its negation are both consistent with ZF [Hallett,M]
20. Action / C. Motives for Action / 3. Acting on Reason / b. Intellectualism
Intellectualism is an excessive emphasis on reasoning in moral philosophy [Burnyeat]
24. Political Theory / D. Ideologies / 6. Liberalism / b. Liberal individualism
Liberty is the triumph of the individual, over both despotic government and enslaving majorities [Constant]
24. Political Theory / D. Ideologies / 6. Liberalism / c. Liberal equality
Minority rights are everyone's rights, because we all have turns in the minority [Constant]