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'Logical Pluralism', '17: Of Superstition' and 'To be is to be the value of a variable..'
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8 ideas
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
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13235
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Logic studies consequence; logical truths are consequences of everything, or nothing [Beall/Restall]
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13238
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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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13234
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The view of logic as knowing a body of truths looks out-of-date [Beall/Restall]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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13232
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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 / 7. Second-Order Logic
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10225
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Monadic second-order logic might be understood in terms of plural quantifiers [Boolos, by Shapiro]
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10736
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Boolos showed how plural quantifiers can interpret monadic second-order logic [Boolos, by Linnebo]
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10780
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Any sentence of monadic second-order logic can be translated into plural first-order logic [Boolos, by Linnebo]
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5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
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13241
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The model theory of classical predicate logic is mathematics [Beall/Restall]
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