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'', 'Penguin Dictionary of Philosophy' and 'Intro to 'The Reason's Proper Study''
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10 ideas
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
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11211
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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 / 6. Entailment
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6877
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Entailment is logical requirement; it may be not(p and not-q), but that has problems [Mautner]
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5. Theory of Logic / B. Logical Consequence / 7. Strict Implication
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6880
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Strict implication says false propositions imply everything, and everything implies true propositions [Mautner]
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5. Theory of Logic / B. Logical Consequence / 8. Material Implication
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6879
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'Material implication' is defined as 'not(p and not-q)', but seems to imply a connection between p and q [Mautner]
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6878
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A person who 'infers' draws the conclusion, but a person who 'implies' leaves it to the audience [Mautner]
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5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
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6889
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Vagueness seems to be inconsistent with the view that every proposition is true or false [Mautner]
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5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
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11212
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The sense of a connective comes from primitively obvious rules of inference [Rumfitt]
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11210
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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 / 1. Quantification
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6890
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Quantifiers turn an open sentence into one to which a truth-value can be assigned [Mautner]
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5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / c. Grelling's paradox
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10631
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If 'x is heterological' iff it does not apply to itself, then 'heterological' is heterological if it isn't heterological [Hale/Wright]
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