Combining Texts
Ideas for
'In Defense of Essentialism', 'Posterior Analytics' and 'On What There Is'
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8 ideas
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
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
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 / D. Assumptions for Logic / 2. Excluded Middle
12363
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Everything is either asserted or denied truly [Aristotle]
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5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic
1618
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We study bound variables not to know reality, but to know what reality language asserts [Quine]
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5. Theory of Logic / F. Referring in Logic / 1. Naming / f. Names eliminated
8455
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Canonical notation needs quantification, variables and predicates, but not names [Quine, by Orenstein]
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8456
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Quine extended Russell's defining away of definite descriptions, to also define away names [Quine, by Orenstein]
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5. Theory of Logic / F. Referring in Logic / 2. Descriptions / c. Theory of definite descriptions
1611
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Names can be converted to descriptions, and Russell showed how to eliminate those [Quine]
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5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
13004
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Aristotle's axioms (unlike Euclid's) are assumptions awaiting proof [Aristotle, by Leibniz]
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