Combining Texts

All the ideas for 'reports', 'Collins Dictionary of Philosophy' 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]
10. Modality / A. Necessity / 8. Transcendental Necessity
Even the gods cannot strive against necessity [Pittacus, by Diog. Laertius]
12. Knowledge Sources / B. Perception / 4. Sense Data / b. Nature of sense-data
Sensations are mental, but sense-data could be mind-independent [Vesey]