i wish someone had explained this to me about 15 years ago. i had sought, and settled on the unsatisfying explanation that it is a conventional notation with useful ways to do coordinate geometry. non essential, but a way of doing it. though i have looked at euler's identity with awe, it's mostly been a mystical sort of awe.

I hate to admit it but i had started using a line of argument to certain theist friends, that if god helps you, as a concept, no need to be bothered, think no more of it than a concept such as the the mathematical concept of i, its a number that does not exist but has real consequences. now I feel stupid for doubting the existence of i.

I keep trying to relearn my fundamentals, and this article does that beautifully. i would otherwise have died a disbeliever.