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8 ideas
5. Theory of Logic / B. Logical Consequence / 5. Modus Ponens
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8078
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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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6023
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Every proposition is either true or false [Chrysippus, by Cicero]
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5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
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8453
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If we had to name objects to make existence claims, we couldn't discuss all the real numbers [Quine]
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5. Theory of Logic / G. Quantification / 1. Quantification
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10311
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No sense can be made of quantification into opaque contexts [Quine, by Hale]
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10538
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Finite quantification can be eliminated in favour of disjunction and conjunction [Quine, by Dummett]
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5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
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10793
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Quine thought substitutional quantification confused use and mention, but then saw its nominalist appeal [Quine, by Marcus (Barcan)]
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5. Theory of Logic / I. Semantics of Logic / 2. Formal Truth
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10819
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Tarski gives us the account of truth needed to build a group of true sentences in a model [Field,H]
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5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
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10827
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Model theory is unusual in restricting the range of the quantifiers [Field,H]
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