  We show how to construct states for which a Greenberger-Horne-Zeilinger type
paradox occurs if each party measures either the position or momentum of his
particle. The paradox can be ascribed to the anticommutation of certain
translation operators in phase space. We then rephrase the paradox in terms of
modular and binary variables. The origin of the paradox is then due to the fact
that the associativity of addition of modular variables is true only for
c-numbers but does not hold for operators.
