Combining Texts

All the ideas for 'Philosophical Fragments', 'Review of Tait 'Provenance of Pure Reason'' and 'Ways Worlds Could Be'

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6 ideas

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 [Parsons,C]

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

13419

If functions are transfinite objects, finitists can have no conception of them [Parsons,C]

7. Existence / A. Nature of Existence / 5. Reason for Existence

16007

I assume existence, rather than reasoning towards it [Kierkegaard]

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 [Parsons,C]

10. Modality / A. Necessity / 2. Nature of Necessity

16013

Nothing necessary can come into existence, since it already 'is' [Kierkegaard]

10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds

15432

Structural universals might serve as possible worlds [Forrest, by Lewis]