Combining Texts

All the ideas for 'reports', 'Review of Tait 'Provenance of Pure Reason'' and 'Postscripts on supervenience'

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6 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 / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
Supervenience is just a 'surface' relation of pattern covariation, which still needs deeper explanation [Kim]
Supervenience is not a dependence relation, on the lines of causal, mereological or semantic dependence [Kim]
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]
10. Modality / A. Necessity / 8. Transcendental Necessity
Even the gods cannot strive against necessity [Pittacus, by Diog. Laertius]