 In terms of statistical mechanics, this law would have the effect of making the phase space density associated with a system at a time determined by earlier events but not later events. This would more or less directly preclude the temporal "parity of reasoning" motivated transitions assumed in the problem of the direction of time, transition of type (2). To achieve this, the Law of Conditional Independence must be time asymmetric, which it is, and it must be a kind of fundamental principle that restricts the lawlike correlation otherwise allowed. After all, if we assume that the laws of nature are time reversal invariant, then there is no asymmetry between pre- and post-interaction correlations.