xeno6696: "As for transcendental functions being "in the mind of the mathematician" only, I used to think that too except you can observe PI, e, and the golden ratio in nature." - No you can't. Only approximations to them. And probably only to a few decimal places. 3.14159, 2.71828, 1.61803 are probably more than sufficent for most purposes. - What you have said about Nietsche confirms my view that he didn't want to be understood, at least among the hoi polloi like me!