this numberphile video shows a fun phenomenon of mathematics that completely blows my mind every time:
1 + 2 + 3 + 4 + 5 + ... = -1/12
what?!?
first of all, infinity is crazy. we use infinity as a tool to understand physics, but we dont really get answers that are infinite. well, i would describe to someone that the universe is infinitely large, but that doesnt mean i'm completely satisfied by it, it's just the best way to describe it right now.
this quote from dennis overbye in his new york times article on the video puts the issue slightly differently:
"Cosmologists do not know if the universe is physically infinite in either space or time, or what it means if it is or isn’t. Or if these are even sensible questions. They don’t know whether someday they will find that higher orders of infinity are unreasonably effective in understanding existence, whatever that is."
we dont understand existence; we dont understand consciousness; we dont understand infinity. but we do understand a lot about physics - enough to gravitationally slingshot little robots around some planets in order to land on and explore other planets. that's awesome.
1 + 2 + 3 + 4 + 5 + ... = -1/12
what?!?
first of all, infinity is crazy. we use infinity as a tool to understand physics, but we dont really get answers that are infinite. well, i would describe to someone that the universe is infinitely large, but that doesnt mean i'm completely satisfied by it, it's just the best way to describe it right now.
this quote from dennis overbye in his new york times article on the video puts the issue slightly differently:
"Cosmologists do not know if the universe is physically infinite in either space or time, or what it means if it is or isn’t. Or if these are even sensible questions. They don’t know whether someday they will find that higher orders of infinity are unreasonably effective in understanding existence, whatever that is."
we dont understand existence; we dont understand consciousness; we dont understand infinity. but we do understand a lot about physics - enough to gravitationally slingshot little robots around some planets in order to land on and explore other planets. that's awesome.
let's keep exploring and pushing the boundaries of existing knowledge!