Difference between revisions of "Binding"
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| − | In | + | In generative syntax, '''binding''' refers to a relation in which the reference of a certain element is dependent on the reference of another element. |
In semantics, '''binding''' is a term that is used to refer the relation obtaining between a [[quantifier]] All(''v'') or Exists(''v'') and the occurrences of the [[variable]] ''v'' in its [[scope]]: | In semantics, '''binding''' is a term that is used to refer the relation obtaining between a [[quantifier]] All(''v'') or Exists(''v'') and the occurrences of the [[variable]] ''v'' in its [[scope]]: | ||
Revision as of 04:04, 13 March 2008
In generative syntax, binding refers to a relation in which the reference of a certain element is dependent on the reference of another element.
In semantics, binding is a term that is used to refer the relation obtaining between a quantifier All(v) or Exists(v) and the occurrences of the variable v in its scope:
(i) All(v)[ ... v ... ] (ii) Exists(v)[ ... v ... ]
Comments
In the following formula only the first occurrence of x is bound by All but not the second (which is not in the scope of All):
(iii) All(x)[P(x) -> Q(y)] & R(x)
The first occurrence of x is called a bound variable, the second occurrence is called a free variable.
See also
Link
Utrecht Lexicon of Linguistics
References
Gamut, L.T.F. 1991. Logic, language, and meaning. Chicago: University of Chicago Press.
