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Ideas for 'Parmenides', 'True in Theory, but not in Practice' and 'Penguin Dictionary of Philosophy'

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8 ideas

5. Theory of Logic / B. Logical Consequence / 6. Entailment
Entailment is logical requirement; it may be not(p and not-q), but that has problems [Mautner]
5. Theory of Logic / B. Logical Consequence / 7. Strict Implication
Strict implication says false propositions imply everything, and everything implies true propositions [Mautner]
5. Theory of Logic / B. Logical Consequence / 8. Material Implication
'Material implication' is defined as 'not(p and not-q)', but seems to imply a connection between p and q [Mautner]
A person who 'infers' draws the conclusion, but a person who 'implies' leaves it to the audience [Mautner]
5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
Vagueness seems to be inconsistent with the view that every proposition is true or false [Mautner]
5. Theory of Logic / G. Quantification / 1. Quantification
Quantifiers turn an open sentence into one to which a truth-value can be assigned [Mautner]
5. Theory of Logic / L. Paradox / 3. Antinomies
Plato found antinomies in ideas, Kant in space and time, and Bradley in relations [Plato, by Ryle]
Plato's 'Parmenides' is perhaps the best collection of antinomies ever made [Russell on Plato]