Combining Texts

All the ideas for 'fragments/reports', 'Notice of Fine's 'Limits of Abstraction'' and 'Review of Tait 'Provenance of Pure Reason''

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5 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]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
Abstraction theories build mathematics out of second-order equivalence principles [Cook/Ebert]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
A virtue is a combination of intelligence, strength and luck [Ion]