Combining Texts

All the ideas for 'Letters to Wagner', 'The Iliad or the Poem of Force' and 'Introduction to Zermelo's 1930 paper'

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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]
24. Political Theory / C. Ruling a State / 1. Social Power
Force is what turns man into a thing, and ultimately into a corpse [Weil]
25. Social Practice / D. Justice / 1. Basis of justice
Only people who understand force, and don't respect it, are capable of justice [Weil]
26. Natural Theory / A. Speculations on Nature / 7. Later Matter Theories / a. Early Modern matter
Bare or primary matter is passive; it is clothed or secondary matter which contains action [Leibniz]