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Ideas for
'To be is to be the value of a variable..', 'English as a Formal Language' and 'Three Grades of Modal Involvement'
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11 ideas
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
10225
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Monadic second-order logic might be understood in terms of plural quantifiers [Boolos, by Shapiro]
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10736
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Boolos showed how plural quantifiers can interpret monadic second-order logic [Boolos, by Linnebo]
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10780
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Any sentence of monadic second-order logic can be translated into plural first-order logic [Boolos, by Linnebo]
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5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
12219
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Whether a modal claim is true depends on how the object is described [Quine, by Fine,K]
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5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
10697
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Identity is clearly a logical concept, and greatly enhances predicate calculus [Boolos]
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5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
18779
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'The' is a quantifier, like 'every' and 'a', and does not result in denotation [Montague]
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5. Theory of Logic / G. Quantification / 1. Quantification
10922
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Objects are the values of variables, so a referentially opaque context cannot be quantified into [Quine]
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5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
13671
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Second-order quantifiers are just like plural quantifiers in ordinary language, with no extra ontology [Boolos, by Shapiro]
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5. Theory of Logic / G. Quantification / 6. Plural Quantification
10267
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We should understand second-order existential quantifiers as plural quantifiers [Boolos, by Shapiro]
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10698
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Plural forms have no more ontological commitment than to first-order objects [Boolos]
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5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification
7806
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Boolos invented plural quantification [Boolos, by Benardete,JA]
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