Ideas from 'Review of Tait 'Provenance of Pure Reason'' by Charles Parsons [2009], by Theme Structure

[found in 'Philosophia Mathematica' (ed/tr -) [- ,]].

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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX

13418

The old problems with the axiom of choice are probably better ascribed to the law of excluded middle

6. Mathematics / C. Sources of Mathematics / 8. Finitism

13419

If functions are transfinite objects, finitists can have no conception of them

7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems

13417

If a mathematical structure is rejected from a physical theory, it retains its mathematical status