Way back in high school, I remember learning the Mean Value Theorem in calculus, and I asked the teacher (little annoying asshole that I was) whether the conseq

Way back in high school, I remember learning the Mean Value Theorem in calculus, and I asked the teacher (little annoying asshole that I was) whether the consequence of the theorem that "for a continuous function, the mean of the values in the interval is one of the values in the interval" implies that you could track how long it took someone to get from point A to point B on the highway and conclude that even if you didn't see them speed, they must have sped. He paused and responded "yes, but nobody will stand for getting tickets like that." Fast-forward to the 2020s and I find there are actually plenty of people who would, in fact, stand for that.