Combining Philosophers

All the ideas for Xenophon, Michael Hallett and Henri Bergson

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10 ideas

1. Philosophy / D. Nature of Philosophy / 6. Hopes for Philosophy
A well-posed problem is a problem solved [Bergson, by Deleuze/Guattari]
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]
7. Existence / A. Nature of Existence / 3. Being / c. Becoming
Bergson was a rallying point, because he emphasised becomings and multiplicities [Bergson, by Deleuze]
12. Knowledge Sources / E. Direct Knowledge / 4. Memory
Bergson showed that memory is not after the event, but coexists with it [Bergson, by Deleuze]
17. Mind and Body / E. Mind as Physical / 5. Causal Argument
Experienced time means no two mental moments are ever alike [Bergson]
22. Metaethics / B. Value / 2. Values / h. Fine deeds
Niceratus learnt the whole of Homer by heart, as a guide to goodness [Xenophon]
25. Social Practice / E. Policies / 5. Education / b. Education principles
Education is the greatest of human goods [Xenophon]