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Ideas for 'Philosophy of Mathematics', 'A World of Dispositions' and 'Word and Object'

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2 ideas

5. Theory of Logic / G. Quantification / 6. Plural Quantification

12798	Plurals can in principle be paraphrased away altogether [Quine]
	Full Idea: By certain standardizations of phrasing the contexts that call for plurals can in principle be paraphrased away altogether.
	From: Willard Quine (Word and Object [1960], §19)
	A reaction: Laycock, who quotes this, calls it 'unduly optimistic', but I presume that it was the standard view of plural reference until Boolos raised the subject.

5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms

10884	A theory is 'categorical' if it has just one model up to isomorphism [Horsten]
	Full Idea: If a theory has, up to isomorphism, exactly one model, then it is said to be 'categorical'.
	From: Leon Horsten (Philosophy of Mathematics [2007], §5.2)