Combining Texts

All the ideas for 'works', 'Introduction to Zermelo's 1930 paper' and 'Dialogue on human freedom and origin of evil'

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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 / 2. Geometry

13163

Circles must be bounded, so cannot be infinite [Leibniz]

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]

16. Persons / F. Free Will / 6. Determinism / b. Fate

13162

Sloth's Syllogism: either it can't happen, or it is inevitable without my effort [Leibniz]

29. Religion / A. Polytheistic Religion / 2. Greek Polytheism

9287	Bruno said that ancient Egyptian magic was the true religion [Bruno, by Yates]

29. Religion / D. Religious Issues / 3. Problem of Evil / a. Problem of Evil

19339

Evil is a negation of good, which arises from non-being [Leibniz]

13164

God only made sin possible because a much greater good can be derived from it [Leibniz]