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'fragments/reports', 'The Evolution of Logic' and 'works'
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15 ideas
5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
9179
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Frege frequently expressed a contempt for language [Frege, by Dummett]
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5. Theory of Logic / C. Ontology of Logic / 2. Platonism in Logic
13473
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Frege thinks there is an independent logical order of the truths, which we must try to discover [Frege, by Hart,WD]
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5. Theory of Logic / E. Structures of Logic / 7. Predicates in Logic
6076
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For Frege, predicates are names of functions that map objects onto the True and False [Frege, by McGinn]
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3319
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Frege gives a functional account of predication so that we can dispense with predicates [Frege, by Benardete,JA]
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5. Theory of Logic / G. Quantification / 2. Domain of Quantification
9871
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Frege always, and fatally, neglected the domain of quantification [Dummett on Frege]
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5. Theory of Logic / G. Quantification / 3. Objectual Quantification
13506
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The universal quantifier can't really mean 'all', because there is no universal set [Hart,WD]
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5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
16884
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Basic truths of logic are not proved, but seen as true when they are understood [Frege, by Burge]
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5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
13505
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Model theory studies how set theory can model sets of sentences [Hart,WD]
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13511
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Model theory is mostly confined to first-order theories [Hart,WD]
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13512
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Modern model theory begins with the proof of Los's Conjecture in 1962 [Hart,WD]
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13513
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Models are ways the world might be from a first-order point of view [Hart,WD]
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5. Theory of Logic / K. Features of Logics / 6. Compactness
13496
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First-order logic is 'compact': consequences of a set are consequences of a finite subset [Hart,WD]
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5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / c. Berry's paradox
13484
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Berry's Paradox: we succeed in referring to a number, with a term which says we can't do that [Hart,WD]
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5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / c. Burali-Forti's paradox
13482
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The Burali-Forti paradox is a crisis for Cantor's ordinals [Hart,WD]
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5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
13507
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The machinery used to solve the Liar can be rejigged to produce a new Liar [Hart,WD]
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