  We construct a `mutant' form of quantum mechanics on a vector space over the
finite Galois field GF(q). We find that the correlations in our model do not
violate the Clauser-Horne-Shimony-Holt (CHSH) version of Bell's inequality,
despite the fact that the predictions of this discretized quantum mechanics
cannot be reproduced with any hidden variable theory. An alternative `mutation'
is also suggested.
