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'fragments/reports', 'Logical Consequence' and 'On the Philosophy of Logic'
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8 ideas
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
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Classical logic is: excluded middle, non-contradiction, contradictions imply all, disjunctive syllogism [Fisher]
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5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
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Validity is explained as truth in all models, because that relies on the logical terms [McGee]
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5. Theory of Logic / C. Ontology of Logic / 2. Platonism in Logic
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Logic formalizes how we should reason, but it shouldn't determine whether we are realists [Fisher]
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5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
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Natural language includes connectives like 'because' which are not truth-functional [McGee]
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5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
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Second-order variables need to range over more than collections of first-order objects [McGee]
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5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
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An ontologically secure semantics for predicate calculus relies on sets [McGee]
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5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
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Logically valid sentences are analytic truths which are just true because of their logical words [McGee]
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5. Theory of Logic / K. Features of Logics / 3. Soundness
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Soundness theorems are uninformative, because they rely on soundness in their proofs [McGee]
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