Combining Texts

All the ideas for 'A Puzzle about Belief', 'Explanatory Coherence' and 'Introduction to Zermelo's 1930 paper'

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11 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]
14. Science / D. Explanation / 2. Types of Explanation / c. Explanations by coherence
17065 2: An explanation must wholly cohere internally, and with the new fact [Thagard, by Smart]
17066 3: If an analogous pair explain another analogous pair, then they all cohere [Thagard, by Smart]
17064 1: Coherence is a symmetrical relation between two propositions [Thagard, by Smart]
17067 4: For coherence, observation reports have a degree of intrinsic acceptability [Thagard, by Smart]
17068 5: Contradictory propositions incohere [Thagard, by Smart]
17069 6: A proposition's acceptability depends on its coherence with a system [Thagard, by Smart]
18. Thought / B. Mechanics of Thought / 5. Mental Files
16383 Puzzled Pierre has two mental files about the same object [Recanati on Kripke]