Combining Texts

All the ideas for 'Reply to Foucher', 'Review of Tait 'Provenance of Pure Reason'' and 'The Nature of Existence vol.1'

expand these ideas     |    start again     |     specify just one area for these texts

---

5 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 / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite

19406

I strongly believe in the actual infinite, which indicates the perfections of its author [Leibniz]

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 / 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]

9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined

22628

Substance has to exist, with no intrinsic qualities or relations [McTaggart]