Combining Texts

All the ideas for 'Croce and Collingwood', 'Introduction to Zermelo's 1930 paper' and 'fragments/reports'

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

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9 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]

20. Action / B. Preliminaries of Action / 2. Willed Action / d. Weakness of will

22511

Some reasonings are stronger than we are [Philolaus]

21. Aesthetics / A. Aesthetic Experience / 1. Aesthetics

20416

By 1790 aestheticians were mainly trying to explain individual artistic genius [Kemp]

21. Aesthetics / B. Nature of Art / 4. Art as Expression

20417

Expression can be either necessary for art, or sufficient for art (or even both) [Kemp]

20419

We don't already know what to express, and then seek means of expressing it [Kemp]

20418

The horror expressed in some works of art could equallly be expressed by other means [Kemp]