Combining Texts

All the ideas for 'Space and Time', 'Introduction to Zermelo's 1930 paper' and 'Contemporary Efficient Causation: Aristotelian themes'

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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]

26. Natural Theory / C. Causation / 1. Causation

19068

Causation interests us because we want to explain change [Mumford]

27. Natural Reality / C. Space / 6. Space-Time

14014

Space alone, and time alone, will fade away, and only their union has an independent reality [Minkowski]