Combining Texts

All the ideas for 'Fragments of Anaxagoras', 'Fact, Fiction and Forecast (4th ed)' and 'Introduction to Zermelo's 1930 paper'

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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]
5. Theory of Logic / C. Ontology of Logic / 4. Logic by Convention
12394 If the result is bad, we change the rule; if we like the rule, we reject the result [Goodman]
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]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / a. Dispositions
14292 Dispositions seem more ethereal than behaviour; a non-occult account of them would be nice [Goodman]
14. Science / C. Induction / 5. Paradoxes of Induction / a. Grue problem
18749 Goodman argued that the confirmation relation can never be formalised [Goodman, by Horsten/Pettigrew]
17646 Goodman showed that every sound inductive argument has an unsound one of the same form [Goodman, by Putnam]
26. Natural Theory / D. Laws of Nature / 3. Laws and Generalities
4794 We don't use laws to make predictions, we call things laws if we make predictions with them [Goodman]