g(x) is mind-bending. I can write out a proof that it is continuous at 0 and nowhere else, but it still barely makes sense. I can understand the reactions of

g(x) is mind-bending. I can write out a proof that it is continuous at 0 and nowhere else, but it still barely makes sense. I can understand the reactions of the late 19th Century mathematicians, though I suspect much of it was exaggerated rhetoric, not real horror.