my favorite comprehensible math fact is that 1 + 1/2 + 1/4 + 1/8 + 1/16 + 1/32... all the way on, forever, equals exactly 2. and i love it because it sounds totally mystical and then you see the proof for it and its just like a little drawing that makes you go, oh, right, duh. like all you need is a square that you have decided has an area of 2, and then you just start coloring in.
i see what you're referring to, but that "never get that final block in place" thing is what infinity is for. the infinity is kind of for the moment when you do the final thing in a never ending pattern. its the last number. there is no last number. its there. you can see it. you cannot get there. but what if you did? then you'd be at two. you are at two. you measure the corners of your house. its a little bigger on the inside than the out. hm.
uh oh.
we dont talk about the ramanujan sum in this house. that is an incomprehensible math fact and the way that it repeatedly pops up in high level physics is proof that there is something wrong with our high level physics, or something wrong with the idea of addition itself. it scares me. genuinely.














