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Universal instantiation
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== Quine == According to [[Willard Van Orman Quine]], universal instantiation and [[existential generalization]] are two aspects of a single principle, for instead of saying that "β''x'' ''x'' = ''x''" implies "Socrates = Socrates", we could as well say that the denial "Socrates β Socrates" implies "β''x'' ''x'' β ''x''". The principle embodied in these two operations is the link between [[Quantification (logic)|quantification]]s and the singular statements that are related to them as instances. Yet it is a principle only by courtesy. It holds only in the case where a term names and, furthermore, occurs [[Reference#Semantics|referentially]].<ref>{{cite book |author1=Willard Van Orman Quine |author1-link=Willard Van Orman Quine|author2=Roger F. Gibson |title=Quintessence |contribution= V.24. Reference and Modality |location=Cambridge, Mass |publisher=Belknap Press of Harvard University Press |year=2008 |oclc=728954096}} Here: p. 366.</ref>
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