Combining Philosophers

All the ideas for Pherecydes, Michael Hallett and Averroes (Ibn Rushd)

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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]

7. Existence / A. Nature of Existence / 3. Being / e. Being and nothing

16587

Prime matter is halfway between non-existence and existence [Averroes]

26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / c. Ultimate substances

22745

Pherecydes said the first principle and element is earth [Pherecydes, by Sext.Empiricus]

29. Religion / D. Religious Issues / 2. Immortality / a. Immortality

5883	Pherecydes was the first to say that the soul is eternal [Pherecydes, by Cicero]