 The notion of negation as definite falsity, in contrast to negation as absence of truth, does not support the failure of Conjunctive Simplification but rather the failure of ex contradictione quodlibet if it is coupled with an understanding of inference as information flow, because the information that A ∧ ~A does not necessarily give the information that B, for any B whatsoever. This suggests a separate treatment of (support of) truth and (support of) falsity conditions, which enables adopting the falsity conditions for implications represented by BTe′.