This is why the liberal arts need to survive. Because since at least the Greeks, man has known that persuasion involves more than simply a structuring of facts into aesthetically pleasing syllogisms. But there are some folks who forget that logic begins and ends with axioms, and if your axioms don't map to anything about the world, all your arguments are navel-gazing. One goal of argumentation is to convince other people to accept your axioms, which will not be achieved when you scoff at them for being so illogical by not accepting -- a priori -- your arbitrary and private set of rules.

tl;dr -- Logical operations are universal, but not the axioms.