Combining Philosophers
Ideas for Oliver,A/Smiley,T, Thomas Mautner and Micklethwait,J/Wooldridge,A
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10 ideas
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
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20100
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Classical liberalism seeks freedom of opinion, of private life, of expression, and of property [Micklethwait/Wooldridge]
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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 / 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 / G. Quantification / 6. Plural Quantification
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14234
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If you only refer to objects one at a time, you need sets in order to refer to a plurality [Oliver/Smiley]
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14237
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We can use plural language to refer to the set theory domain, to avoid calling it a 'set' [Oliver/Smiley]
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5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
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14245
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Logical truths are true no matter what exists - but predicate calculus insists that something exists [Oliver/Smiley]
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