Combining Philosophers
Ideas for Eubulides, Edwin D. Mares and Leo Tolstoy
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11 ideas
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
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18793
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Material implication (and classical logic) considers nothing but truth values for implications [Mares]
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18784
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In classical logic the connectives can be related elegantly, as in De Morgan's laws [Mares]
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5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
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18786
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Excluded middle standardly implies bivalence; attacks use non-contradiction, De M 3, or double negation [Mares]
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18780
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Standard disjunction and negation force us to accept the principle of bivalence [Mares]
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5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
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18782
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The connectives are studied either through model theory or through proof theory [Mares]
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5. Theory of Logic / H. Proof Systems / 4. Natural Deduction
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18783
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Many-valued logics lack a natural deduction system [Mares]
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5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
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18792
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Situation semantics for logics: not possible worlds, but information in situations [Mares]
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5. Theory of Logic / K. Features of Logics / 2. Consistency
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18785
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Consistency is semantic, but non-contradiction is syntactic [Mares]
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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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