# Internal negation

**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.