Combining Texts
Ideas for
'Intensional Logic', 'Introspection' and 'Naturalism in Mathematics'
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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
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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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Justication logics make explicit the reasons for mathematical truth in proofs [Fitting]
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4. Formal Logic / F. Set Theory ST / 2. Mechanics of Set Theory / b. Terminology of ST
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'Forcing' can produce new models of ZFC from old models [Maddy]
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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
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A Large Cardinal Axiom would assert ever-increasing stages in the hierarchy [Maddy]
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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
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Axiom of Infinity: completed infinite collections can be treated mathematically [Maddy]
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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / i. Axiom of Foundation VIII
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The Axiom of Foundation says every set exists at a level in the set hierarchy [Maddy]
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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
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Axiom of Reducibility: propositional functions are extensionally predicative [Maddy]
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