Combining Texts
Ideas for
'Logical Pluralism', 'The Foundations of Empirical Knowledge' and 'A Plea for Substitutional Quantification'
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11 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The view of logic as knowing a body of truths looks out-of-date [Beall/Restall]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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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 / G. Quantification / 4. Substitutional Quantification
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Substitutional existential quantifier may explain the existence of linguistic entities [Parsons,C]
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9468
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On the substitutional interpretation, '(∃x) Fx' is true iff a closed term 't' makes Ft true [Parsons,C]
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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 / 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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