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'Defending the Axioms', 'The philosophical basis of intuitionist logic' and 'Set Theory and related topics (2nd ed)'
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4. Formal Logic / F. Set Theory ST / 3. Types of Set / e. Equivalence classes
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Equivalence relations are reflexive, symmetric and transitive, and classify similar objects [Lipschutz]
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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]
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