Combining Philosophers
Ideas for Eubulides, Anon (Gilg) and JC Beall / G Restall
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18 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The view of logic as knowing a body of truths looks out-of-date [Beall/Restall]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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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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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
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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
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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 |=
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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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10695
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Logical consequence is either necessary truth preservation, or preservation based on interpretation [Beall/Restall]
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5. Theory of Logic / B. Logical Consequence / 8. Material Implication
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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 / I. Semantics of Logic / 3. Logical Truth
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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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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 / J. Model Theory in Logic / 1. Logical Models
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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 / 1. Paradox
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6007
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If you know your father, but don't recognise your father veiled, you know and don't know the same person [Eubulides, by Dancy,R]
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5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
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6006
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If you say truly that you are lying, you are lying [Eubulides, by Dancy,R]
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5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / b. The Heap paradox ('Sorites')
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6008
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Removing one grain doesn't destroy a heap, so a heap can't be destroyed [Eubulides, by Dancy,R]
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5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / d. The Preface paradox
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13237
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Preface Paradox affirms and denies the conjunction of propositions in the book [Beall/Restall]
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