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'', 'Philosophy of Mind (Encylopedia III)' and 'The Philosophy of Mathematics'
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6 ideas
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
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If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt]
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5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
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Intuitionists reject excluded middle, not for a third value, but for possibility of proof [Dummett]
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5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
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The sense of a connective comes from primitively obvious rules of inference [Rumfitt]
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Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt]
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5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
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First-order logic concerns objects; second-order adds properties, kinds, relations and functions [Dummett]
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5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
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Logical truths and inference are characterized either syntactically or semantically [Dummett]
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