Combining Philosophers
Ideas for H.Putnam/P.Oppenheim, Edwin D. Mares and Feferman / Feferman
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8 ideas
4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic
18789
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Intuitionist logic looks best as natural deduction [Mares]
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18790
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Intuitionism as natural deduction has no rule for negation [Mares]
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4. Formal Logic / E. Nonclassical Logics / 3. Many-Valued Logic
18787
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Three-valued logic is useful for a theory of presupposition [Mares]
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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
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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10147
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The Axiom of Choice is consistent with the other axioms of set theory [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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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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