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Ideas for 'Defending the Axioms', 'Empty Names' and 'On Formally Undecidable Propositions'

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2 ideas

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

17835

Gödel show that the incompleteness of set theory was a necessity [Gödel, by Hallett,M]

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

17610

The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy]