|Universal quantification: an operator, which indicates that the following expression is a statement about all the objects in the considered domain. Notation "(x)" or "∀x". Ex. E.g. (x) (Fx ∧ Gx) everyday language "All Fs are Gs." .- Antonym|
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|Universal Quantification||II 348
Everything/absolutely everything/Universal Quantification/Truth-Theory/Field: the object-language quantifiers of a Truth-theory cannot go beyond everything. - ((s) Otherwise the theory becomes circular).
Universal Quantification/indeterminacy/McGee/Field: McGee: we must exclude the hypothesis that a person's apparently unrestricted quantifiers only go via entities of the type F if the person has a concept of F. This excludes the normal attempts to show the indeterminacy of universal quantification. - FieldVsMcGee: that does not work. - Question: do our own quantifiers have any particular area? - It is not clear what it means to have the concept of a restricted area, because if universal quantification is indeterminate, then also the terms that are used to restrict the area.
Realism, Mathematics and Modality Oxford New York 1989
Truth and the Absence of Fact Oxford New York 2001
Science without numbers Princeton New Jersey 1980