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Ideas for
'Identity and Spatio-Temporal Continuity', 'Negation' and 'Intros to Russell's 'Essays in Analysis''
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10 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 / 5. Paradoxes in Set Theory / b. Cantor's paradox
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21554
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Sets always exceed terms, so all the sets must exceed all the sets [Lackey]
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5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / c. Burali-Forti's paradox
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21553
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It seems that the ordinal number of all the ordinals must be bigger than itself [Lackey]
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