 With Weakening present, we loose track of which pieces of information were actually used in an inference. This is precisely why it is that the rejection of Weakening is the mark of relevant logics, where the preservation of bodies of information relevant to the derivation of the conclusion is the motivation. By rejecting Weakening, we highlight a certain type of informational taxonomy, in the sense that we know which bodies of information were used. To preserve more structural detail than simply which bodies of information were used, we need to consider rejecting further structural rules.