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'', 'The Concept of Logical Consequence' and 'works'
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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 / B. Logical Consequence / 1. Logical Consequence
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Split out the logical vocabulary, make an assignment to the rest. It's logical if premises and conclusion match [Tarski, by Rumfitt]
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5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
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X follows from sentences K iff every model of K also models X [Tarski]
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5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
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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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The sense of a connective comes from primitively obvious rules of inference [Rumfitt]
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5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
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A 'model' is a sequence of objects which satisfies a complete set of sentential functions [Tarski]
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