Combining Texts

Ideas for 'On the Natural Faculties', 'Frege Philosophy of Language (2nd ed)' and 'Expositio super viii libros'

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4. Formal Logic / F. Set Theory ST / 2. Mechanics of Set Theory / c. Basic theorems of ST

10537

The ordered pairs <x,y> can be reduced to the class of sets of the form {{x},{x,y}} [Dummett]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX

10542

To associate a cardinal with each set, we need the Axiom of Choice to find a representative [Dummett]