Combining Texts
Ideas for
'Intensional Logic', 'Letters to William Molyneux' and 'Logical Pluralism'
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12 ideas
4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic
13249
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(∀x)(A v B) |- (∀x)A v (∃x)B) is valid in classical logic but invalid intuitionistically [Beall/Restall]
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4. Formal Logic / E. Nonclassical Logics / 5. Relevant Logic
13243
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Excluded middle must be true for some situation, not for all situations [Beall/Restall]
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13242
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It's 'relevantly' valid if all those situations make it true [Beall/Restall]
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13246
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Relevant logic does not abandon classical logic [Beall/Restall]
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13245
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Relevant consequence says invalidity is the conclusion not being 'in' the premises [Beall/Restall]
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13254
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A doesn't imply A - that would be circular [Beall/Restall]
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13255
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Relevant logic may reject transitivity [Beall/Restall]
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4. Formal Logic / E. Nonclassical Logics / 6. Free Logic
13250
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Free logic terms aren't existential; classical is non-empty, with referring names [Beall/Restall]
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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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