Combining Philosophers
Ideas for Melvin Fitting, Wilhelm Dilthey and Kurt Gdel
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9 ideas
4. Formal Logic / C. Predicate Calculus PC / 3. Completeness of PC
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17751
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Gödel proved the completeness of first order predicate logic in 1930 [Gödel, by Walicki]
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4. Formal Logic / E. Nonclassical Logics / 8. Intensional Logic
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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
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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
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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 / a. Axioms for sets
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17835
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Gödel show that the incompleteness of set theory was a necessity [Gödel, by Hallett,M]
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8679
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We perceive the objects of set theory, just as we perceive with our senses [Gödel]
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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / o. Axiom of Constructibility V = L
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9942
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Gödel proved the classical relative consistency of the axiom V = L [Gödel, by Putnam]
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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
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21716
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In simple type theory the axiom of Separation is better than Reducibility [Gödel, by Linsky,B]
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