Combining Philosophers

All the ideas for Celsus, Xenophon and Michael Hallett

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8 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]
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]
25. Social Practice / F. Life Issues / 6. Animal Rights
The world was made as much for animals as for man [Celsus]
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
Christians presented Jesus as a new kind of logos to oppose that of the philosophers [Celsus]