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Ideas for
'Logical Pluralism', 'Ontology' and 'Reply to Professor Marcus'
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14 ideas
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
7681
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Logic describes inferences between sentences expressing possible properties of objects [Jacquette]
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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
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The view of logic as knowing a body of truths looks out-of-date [Beall/Restall]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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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 |=
13240
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A sentence follows from others if they always model it [Beall/Restall]
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5. Theory of Logic / C. Ontology of Logic / 2. Platonism in Logic
7682
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Logic is not just about signs, because it relates to states of affairs, objects, properties and truth-values [Jacquette]
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5. Theory of Logic / F. Referring in Logic / 2. Descriptions / c. Theory of definite descriptions
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On Russell's analysis, the sentence "The winged horse has wings" comes out as false [Jacquette]
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5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
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Either reference really matters, or we don't need to replace it with substitutions [Quine]
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5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
13236
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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 / 5. Paradoxes in Set Theory / d. Russell's paradox
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Can a Barber shave all and only those persons who do not shave themselves? [Jacquette]
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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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