Combining Texts

All the ideas for 'The Great Event', 'Introduction to Zermelo's 1930 paper' and 'Mathematical Thought from Ancient to Modern Times'

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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]

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation

17606

Axioms reveal the underlying assumptions, and reveal relationships between different areas [Kline]

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]

28. God / B. Proving God / 3. Proofs of Evidence / e. Miracles

7902	The Buddha made flowers float in the air, to impress people, and make them listen [Mahavastu]