Combining Philosophers
Ideas for Herodotus, C.I. Lewis and JC Beall / G Restall
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18 ideas
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
9358
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There are several logics, none of which will ever derive falsehoods from truth [Lewis,CI]
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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The view of logic as knowing a body of truths looks out-of-date [Beall/Restall]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
13232
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Logic studies arguments, not formal languages; this involves interpretations [Beall/Restall]
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10690
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Formal logic is invariant under permutations, or devoid of content, or gives the norms for thought [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
10691
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Logical consequence needs either proofs, or absence of counterexamples [Beall/Restall]
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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 |=
10695
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Logical consequence is either necessary truth preservation, or preservation based on interpretation [Beall/Restall]
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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 / B. Logical Consequence / 8. Material Implication
10689
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A step is a 'material consequence' if we need contents as well as form [Beall/Restall]
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5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
9357
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Excluded middle is just our preference for a simplified dichotomy in experience [Lewis,CI]
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5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
9364
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Names represent a uniformity in experience, or they name nothing [Lewis,CI]
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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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10696
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A 'logical truth' (or 'tautology', or 'theorem') follows from empty premises [Beall/Restall]
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5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
10693
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Models are mathematical structures which interpret the non-logical primitives [Beall/Restall]
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5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / d. The Preface paradox
13237
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Preface Paradox affirms and denies the conjunction of propositions in the book [Beall/Restall]
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