Why do programmers assume they are mathematicians? There is a huge difference between those disciplines. Trying to uphold the HN principles here, with a civil

Why do programmers assume they are mathematicians? There is a huge difference between those disciplines. Trying to uphold the HN principles here, with a civil but pointed question. Computer science is deep, so is physics, and mathematics as well but they are distinct and quite different. Steven Hawking fumbled the proof of the infinitude of primes in his excellent survey of mathematical history "God Created the Integers," as usual for physicists he saw his way to the proof without traversing each step. Infinity is a difficult but knowable concept. Calculus is a good teacher of this, and Euclid is a good teacher of proof. That's what's missing I say: the standard of proof. For physicists and computer scientists that standard depends on the outcome of physical events, but mathematics requires a purity that doesn't exist in the physical world.