Combining Texts

All the ideas for 'works', 'Space, Knowledge and Power (interview)' and 'Introduction to Zermelo's 1930 paper'

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7 ideas

1. Philosophy / C. History of Philosophy / 4. Later European Philosophy / c. Eighteenth century philosophy

15045

The big issue since the eighteenth century has been: what is Reason? Its effect, limits and dangers? [Foucault]

1. Philosophy / G. Scientific Philosophy / 1. Aims of Science

6782	Realism is the only philosophy of science that doesn't make the success of science a miracle [Putnam]

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 / D. Theories of Reality / 4. Anti-realism

22181

Putnam says anti-realism is a bad explanation of accurate predictions [Putnam, by Okasha]