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Perhaps if he spent more time studying and less time bashing students, he would know that this is what logicians call a false dichotomy.

Named after Cambridge University mathematician and logician John Venn, they first appeared in his book "Symbolic Logic" in 1880.

It’s often been said, given Scott’s skills as a superb visual craftsman and cinematic logician, that he’s only ever as good as his material — a reductive formulation that happens to be true in this instance.

Some logicians find the principle of explosion so disturbing that they propose altering the rules of logic into a so-called paraconsistent logic, specifically designed to invalidate the arguments we’ve seen above.

“Euclid famously starts with ‘definitions’ that are almost poetic,” Jeremy Avigad, a logician at Carnegie Mellon University, said in an email.