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Okay, now I'm pretty sure the Prof is messing with Al and the other students.
I even agree with him. On the A is A thing at least. Not sure about the tyrant thing.
Sure, Alison's axiom is something a tyrant would say, but I'm pretty sure the meaning would be different.
On the other hand the original meaning was less negative. Professor Gurwara might simply use it as another word for ruler.
Just to provoke Al a bit, to challenge her world view.