Combining Texts
Ideas for
'Logical Pluralism', 'The Elm and the Expert' and 'Vagueness and Contradiction'
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14 ideas
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
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Logic studies consequence; logical truths are consequences of everything, or nothing [Beall/Restall]
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Syllogisms are only logic when they use variables, and not concrete terms [Beall/Restall]
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5. Theory of Logic / A. Overview of Logic / 2. History of Logic
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The view of logic as knowing a body of truths looks out-of-date [Beall/Restall]
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5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
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Inferences are surely part of the causal structure of the world [Fodor]
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Logic studies arguments, not formal languages; this involves interpretations [Beall/Restall]
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5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
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The model theory of classical predicate logic is mathematics [Beall/Restall]
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5. Theory of Logic / B. Logical Consequence / 2. Types of Consequence
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There are several different consequence relations [Beall/Restall]
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5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
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A sentence follows from others if they always model it [Beall/Restall]
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5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
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No attempt to deny bivalence has ever been accepted [Sorensen]
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5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic
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We now see that generalizations use variables rather than abstract entities [Sorensen]
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5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
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Logical truth is much more important if mathematics rests on it, as logicism claims [Beall/Restall]
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5. Theory of Logic / L. Paradox / 3. Antinomies
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Denying problems, or being romantically defeated by them, won't make them go away [Sorensen]
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5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
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Banning self-reference would outlaw 'This very sentence is in English' [Sorensen]
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5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / d. The Preface paradox
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Preface Paradox affirms and denies the conjunction of propositions in the book [Beall/Restall]
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