Combining Philosophers
Ideas for Melvin Fitting, Thrasymachus and Feferman / Feferman
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9 ideas
4. Formal Logic / E. Nonclassical Logics / 8. Intensional Logic
15375
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If terms change their designations in different states, they are functions from states to objects [Fitting]
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15376
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Intensional logic adds a second type of quantification, over intensional objects, or individual concepts [Fitting]
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4. Formal Logic / E. Nonclassical Logics / 9. Awareness Logic
15378
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Awareness logic adds the restriction of an awareness function to epistemic logic [Fitting]
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4. Formal Logic / E. Nonclassical Logics / 10. Justification Logics
15379
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Justication logics make explicit the reasons for mathematical truth in proofs [Fitting]
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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
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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