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'works', 'A Mathematical Introduction to Logic (2nd)' and 'Writing the Book of the World'
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15 ideas
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
9722
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Inference not from content, but from the fact that it was said, is 'conversational implicature' [Enderton]
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14980
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There is a real issue over what is the 'correct' logic [Sider]
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15000
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'It is raining' and 'it is not raining' can't be legislated, so we can't legislate 'p or ¬p' [Sider]
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5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
15020
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Classical logic is good for mathematics and science, but less good for natural language [Sider]
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5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
15029
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Modal accounts of logical consequence are simple necessity, or essential use of logical words [Sider]
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5. Theory of Logic / B. Logical Consequence / 2. Types of Consequence
9718
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Validity is either semantic (what preserves truth), or proof-theoretic (following procedures) [Enderton]
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5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
15019
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Define logical constants by role in proofs, or as fixed in meaning, or as topic-neutral [Sider]
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5. Theory of Logic / H. Proof Systems / 4. Natural Deduction
15001
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'Tonk' is supposed to follow the elimination and introduction rules, but it can't be so interpreted [Sider]
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5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
9721
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A logical truth or tautology is a logical consequence of the empty set [Enderton]
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5. Theory of Logic / I. Semantics of Logic / 4. Satisfaction
9994
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A truth assignment to the components of a wff 'satisfy' it if the wff is then True [Enderton]
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5. Theory of Logic / K. Features of Logics / 3. Soundness
9719
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A proof theory is 'sound' if its valid inferences entail semantic validity [Enderton]
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5. Theory of Logic / K. Features of Logics / 4. Completeness
9720
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A proof theory is 'complete' if semantically valid inferences entail proof-theoretic validity [Enderton]
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5. Theory of Logic / K. Features of Logics / 6. Compactness
9995
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Proof in finite subsets is sufficient for proof in an infinite set [Enderton]
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5. Theory of Logic / K. Features of Logics / 7. Decidability
9996
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Expressions are 'decidable' if inclusion in them (or not) can be proved [Enderton]
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5. Theory of Logic / K. Features of Logics / 8. Enumerability
9997
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For a reasonable language, the set of valid wff's can always be enumerated [Enderton]
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