Reductive Evidentialism and the Normativity of Logic

'Reductive Evidentialism' seeks to explain away all 'structural' requirements of rationality - including norms of logical coherence - in terms of 'substantive' norms of rationality, i.e., responsiveness to evidence. While this view constitutes a novel take on the source of the normativity of logic, I argue that it faces serious difficulties. My argument, in a nutshell, is that on the assumption that individuals with the same evidence can have different rational responses (interpersonal permissivism), the view lacks the resources to maintain its central tenet that an individual's body of evidence cannot make it rationally permissible for the individual to believe logical inconsistencies (intrapersonal nonpermissivism).