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'works', 'Logical Pluralism' and 'Principles of Philosophy'
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15 ideas
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
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The view of logic as knowing a body of truths looks out-of-date [Beall/Restall]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 / 3. Value of Logic
9179
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Frege frequently expressed a contempt for language [Frege, by Dummett]
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5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
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 / 8. Logic of Mathematics
13241
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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
13253
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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
13473
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Frege thinks there is an independent logical order of the truths, which we must try to discover [Frege, by Hart,WD]
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5. Theory of Logic / E. Structures of Logic / 7. Predicates in Logic
6076
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For Frege, predicates are names of functions that map objects onto the True and False [Frege, by McGinn]
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3319
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Frege gives a functional account of predication so that we can dispense with predicates [Frege, by Benardete,JA]
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5. Theory of Logic / G. Quantification / 2. Domain of Quantification
9871
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Frege always, and fatally, neglected the domain of quantification [Dummett on Frege]
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5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
16884
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Basic truths of logic are not proved, but seen as true when they are understood [Frege, by Burge]
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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 / 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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