Combining Texts
Ideas for
'fragments/reports', 'The Concept of Logical Consequence' and 'The Lagoon: how Aristotle invented science'
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5 ideas
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
18812
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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 / B. Logical Consequence / 5. Modus Ponens
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Modus ponens is one of five inference rules identified by the Stoics [Chrysippus, by Devlin]
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5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
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Every proposition is either true or false [Chrysippus, by Cicero]
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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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