Philosophy Lexicon of Arguments

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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

Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments.

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Books on Amazon

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).
II 353
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.

Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution.

Fie I
H. Field
Realism, Mathematics and Modality Oxford New York 1989

Fie II
H. Field
Truth and the Absence of Fact Oxford New York 2001

H. Field
Science without numbers Princeton New Jersey 1980

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Ed. Martin Schulz, access date 2018-04-24