Combining Philosophers
Ideas for Paul Bernays, Feferman / Feferman and Mikhail Bakunin
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6 ideas
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
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10147
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The Axiom of Choice is consistent with the other axioms of set theory [Feferman/Feferman]
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10148
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Axiom of Choice: a set exists which chooses just one element each of any set of sets [Feferman/Feferman]
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10149
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Platonist will accept the Axiom of Choice, but others want criteria of selection or definition [Feferman/Feferman]
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10150
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The Trichotomy Principle is equivalent to the Axiom of Choice [Feferman/Feferman]
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10146
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Cantor's theories needed the Axiom of Choice, but it has led to great controversy [Feferman/Feferman]
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4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
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10304
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Very few things in set theory remain valid in intuitionist mathematics [Bernays]
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