  Assumed data streams from a delayed choice gedanken experiment must satisfy a
Bell's identity independently of locality assumptions. The violation of Bell's
inequality by assumed correlations of identical form among these data streams
implies that they cannot all result from statistically equivalent variables of
a homogeneous process. This is consistent with both the requirements of
arithmetic and distinctions between commuting and noncommuting observables in
quantum mechanics. Neglect of these distinctions implies a logical loophole in
the conventional interpretation of Bell's inequalities.
