Combining Texts

All the ideas for 'Later Letters to Dedekind', 'The Architecture of Mathematics' and 'New Foundations for Mathematical Logic'

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3 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets

9879	NF has no models, but just blocks the comprehension axiom, to avoid contradictions [Quine, by Dummett]

17831

Cantor gives informal versions of ZF axioms as ways of getting from one set to another [Cantor, by Lake]

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism

10190

From the axiomatic point of view, mathematics is a storehouse of abstract structures [Bourbaki]