Combining Texts
Ideas for
'Parmenides', 'Scientific Essentialism' and 'To be is to be the value of a variable..'
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11 ideas
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
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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 / D. Assumptions for Logic / 4. Identity in Logic
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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
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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
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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
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7806
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Boolos invented plural quantification [Boolos, by Benardete,JA]
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5. Theory of Logic / I. Semantics of Logic / 5. Extensionalism
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13606
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Humean conceptions of reality drive the adoption of extensional logic [Ellis]
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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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