Combining Texts
Ideas for
'Parmenides', 'Begriffsschrift' and 'Categories, Classification, Cogn. Anthropology'
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13 ideas
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
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7728
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Frege has a judgement stroke (vertical, asserting or judging) and a content stroke (horizontal, expressing) [Frege, by Weiner]
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16881
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The laws of logic are boundless, so we want the few whose power contains the others [Frege]
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5. Theory of Logic / A. Overview of Logic / 2. History of Logic
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7622
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In 1879 Frege developed second order logic [Frege, by Putnam]
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5. Theory of Logic / E. Structures of Logic / 1. Logical Form
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7729
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Frege replaced Aristotle's subject/predicate form with function/argument form [Frege, by Weiner]
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5. Theory of Logic / G. Quantification / 1. Quantification
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9950
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A quantifier is a second-level predicate (which explains how it contributes to truth-conditions) [Frege, by George/Velleman]
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5. Theory of Logic / G. Quantification / 2. Domain of Quantification
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9991
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For Frege the variable ranges over all objects [Frege, by Tait]
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10536
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Frege's domain for variables is all objects, but modern interpretations first fix the domain [Dummett on Frege]
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5. Theory of Logic / G. Quantification / 3. Objectual Quantification
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7730
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Frege introduced quantifiers for generality [Frege, by Weiner]
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7742
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Frege reduced most quantifiers to 'everything' combined with 'not' [Frege, by McCullogh]
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5. Theory of Logic / H. Proof Systems / 1. Proof Systems
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13824
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Proof theory began with Frege's definition of derivability [Frege, by Prawitz]
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5. Theory of Logic / H. Proof Systems / 2. Axiomatic Proof
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13609
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Frege produced axioms for logic, though that does not now seem the natural basis for logic [Frege, by Kaplan]
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5. Theory of Logic / L. Paradox / 3. Antinomies
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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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14150
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Plato's 'Parmenides' is perhaps the best collection of antinomies ever made [Russell on Plato]
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