Internal negation
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Internal negation is the internal negation of a generalized quantifier Q is the set of complements of the sets in Q with respect to E. Formally:
(i) Q Neg = { X subset E : (E - X) in Q }
The internal negation of all is no and the internal negation of a(n) is not all. See also external negation.
Link
Utrecht Lexicon of Linguistics
References
- Gamut, L.T.F. 1991. Logic, language, and meaning, Univ. of Chicago Press, Chicago.