Anti-exceptionalism about logic is multi-motivated historically and theoretically. This paper chooses to explore its rise from the perspective of demarcating logical constants, trying to consider various deep difficulties of exceptionalism about logic and thereby to show the theoretical appeal of anti-exceptionalism about logic, in view of some historical facts of modern logic and recent debates in philosophy of logic. In the framework of anti-exceptionalism about logic, an important role of logical constants played in philosophy and the sciences can be retained, but it is relative to a non-a-priori adjudication on the matter of logical vocabulary.