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'Parmenides', 'On the Syllogism IV' and 'W.V. Quine'
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6 ideas
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
17744
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De Morgan started the study of relations and their properties [De Morgan, by Walicki]
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13501
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De Morgan found inferences involving relations, which eluded Aristotle's syllogistic [De Morgan, by Hart,WD]
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5. Theory of Logic / G. Quantification / 1. Quantification
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Traditionally, universal sentences had existential import, but were later treated as conditional claims [Orenstein]
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5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
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The substitution view of quantification says a sentence is true when there is a substitution instance [Orenstein]
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5. Theory of Logic / L. Paradox / 3. Antinomies
13986
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Plato found antinomies in ideas, Kant in space and time, and Bradley in relations [Plato, by Ryle]
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Plato's 'Parmenides' is perhaps the best collection of antinomies ever made [Russell on Plato]
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