Combining Texts

All the ideas for 'The Value of Science', 'Review of Tait 'Provenance of Pure Reason'' and 'Explanatory Coherence'

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10 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
The old problems with the axiom of choice are probably better ascribed to the law of excluded middle [Parsons,C]
6. Mathematics / C. Sources of Mathematics / 8. Finitism
If functions are transfinite objects, finitists can have no conception of them [Parsons,C]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
If a mathematical structure is rejected from a physical theory, it retains its mathematical status [Parsons,C]
14. Science / D. Explanation / 2. Types of Explanation / c. Explanations by coherence
2: An explanation must wholly cohere internally, and with the new fact [Thagard, by Smart]
3: If an analogous pair explain another analogous pair, then they all cohere [Thagard, by Smart]
1: Coherence is a symmetrical relation between two propositions [Thagard, by Smart]
4: For coherence, observation reports have a degree of intrinsic acceptability [Thagard, by Smart]
5: Contradictory propositions incohere [Thagard, by Smart]
6: A proposition's acceptability depends on its coherence with a system [Thagard, by Smart]
26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature
The aim of science is just to create a comprehensive, elegant language to describe brute facts [Poincaré, by Harré]