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Ideas for 'Defending the Axioms', 'works' and 'Elements of Geometry'

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4. Formal Logic / C. Predicate Calculus PC / 2. Tools of Predicate Calculus / c. Derivations rules of PC

13907

If you pick an arbitrary triangle, things proved of it are true of all triangles [Euclid, by Lemmon]

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

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