Combining Texts

All the ideas for 'Constitutional Code I', 'Introduction to Zermelo's 1930 paper' and 'In Defence of Three-Dimensionalism'

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10 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]
9. Objects / E. Objects over Time / 3. Three-Dimensionalism
12295 3-D says things are stretched in space but not in time, and entire at a time but not at a location [Fine,K]
12298 Genuine motion, rather than variation of position, requires the 'entire presence' of the object [Fine,K]
9. Objects / E. Objects over Time / 4. Four-Dimensionalism
12296 4-D says things are stretched in space and in time, and not entire at a time or at a location [Fine,K]
18882 You can ask when the wedding was, but not (usually) when the bride was [Fine,K, by Simons]
9. Objects / E. Objects over Time / 5. Temporal Parts
12297 Three-dimensionalist can accept temporal parts, as things enduring only for an instant [Fine,K]
22. Metaethics / C. The Good / 3. Pleasure / b. Types of pleasure
5271 Prejudice apart, push-pin has equal value with music and poetry [Bentham]