Combining Texts

All the ideas for 'Paradoxes: Form and Predication', 'Letters to Wagner' and 'Review of Tait 'Provenance of Pure Reason''

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

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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]

5. Theory of Logic / G. Quantification / 6. Plural Quantification

14235

Saying 'they can become a set' is a tautology, because reference to 'they' implies a collection [Cargile]

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]

26. Natural Theory / A. Speculations on Nature / 7. Later Matter Theories / a. Early Modern matter

19436

Bare or primary matter is passive; it is clothed or secondary matter which contains action [Leibniz]