Combining Texts
Ideas for
'To be is to be the value of a variable..', 'Brainstorms:Essays on Mind and Psychology' and 'works'
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11 ideas
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
10048
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There is no clear boundary between the logical and the non-logical [Tarski]
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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 / B. Logical Consequence / 4. Semantic Consequence |=
10694
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Logical consequence is when in any model in which the premises are true, the conclusion is true [Tarski, by Beall/Restall]
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10479
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Logical consequence: true premises give true conclusions under all interpretations [Tarski, by Hodges,W]
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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 / 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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