Combining Texts
Ideas for
'In Defense of Essentialism', 'Posterior Analytics' and 'Penguin Dictionary of Philosophy'
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10 ideas
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
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12376
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Demonstrations by reductio assume excluded middle [Aristotle]
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5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
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12373
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Something holds universally when it is proved of an arbitrary and primitive case [Aristotle]
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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 / D. Assumptions for Logic / 2. Excluded Middle
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12363
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Everything is either asserted or denied truly [Aristotle]
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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 / K. Features of Logics / 1. Axiomatisation
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13004
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Aristotle's axioms (unlike Euclid's) are assumptions awaiting proof [Aristotle, by Leibniz]
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