Domain of quantification
| Abstract | When we utter sentences containing quantifiers, typically we are not to be taken to speak about absolutely everything there is. Suppose Mary has invited her friend John to a party to which she is going. If, upon entering the party, Mary turns to Jack and utters (1), it would be rather odd of Jack to object by pointing out that John in fact knows several people who are not present. | |||||||||
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Øystein Linnebo (2006). Sets, Properties, and Unrestricted Quantification. In Gabriel Uzquiano & Agustin Rayo (eds.), Absolute Generality. Oxford University Press.
Ken Akiba (2009). A New Theory of Quantifiers and Term Connectives. Journal of Logic, Language and Information 18 (3):403-431.
Gregory Landini (2005). Quantification Theory in *8 ofPrincipia Mathematicaand the Empty Domain. History and Philosophy of Logic 26 (1):47-59.
Philip Hugly & Charles Sayward (1982). Indenumerability and Substitutional Quantification. Notre Dame Journal of Formal Logic 23 (4):358-366.
Ed Keenan (1999). Quantification in English is Inherently Sortal. History and Philosophy of Logic 20 (3-4):251-265.
Gabriel Uzquiano (2006). The Price of Universality. Philosophical Studies 129 (1):137 - 169.
Daniel Z. Korman (2007). Unrestricted Composition and Restricted Quantification. Philosophical Studies 140 (3):319-334.
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