  Derivations of two Bell's inequalities are given in a form appropriate to the
interpretation of experimental data for explicit determination of all the
correlations. They are arithmetic identities independent of statistical
reasoning and thus cannot be violated by data that meets the conditions for
their validity. Two experimentally performable procedures are described to meet
these conditions. Once such data are acquired, it follows that the measured
correlations cannot all equal a negative cosine of angular differences. The
relation between this finding and the predictions of quantum mechanics is
discussed in a companion paper.
