Combining Texts

All the ideas for 'On 'Generation and Corruption'', 'Ethical Studies' and 'Introduction to Zermelo's 1930 paper'

expand these ideas     |    start again     |     specify just one area for these texts

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6 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]

22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness

5655	Happiness is not satisfaction of desires, but fulfilment of values [Bradley, by Scruton]

26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / f. Ancient elements

16570

Elements are found last in dismantling bodies, and first in generating them [Albert of Saxony]