Pi is an infinite series of non-repeating digits, and yet you will never find the letter A in pi because there is a 0% chance of the letter A being a digit in a decimal system. By the same logic, infinite possibilities do not guarantee that every conceivable state occurs, if that conceivable state has a 0% probability. As finite beings, it is very difficult for us to accurately distinguish between a 0% probability and a infinitesimal probability, so we end up circling back to “we don’t know”
While pi is irrational, there is no guarantee every conceivable sequence of digits will be in pi. However the library of babel contains all letter sequences under a certain length.
Pi is an infinite series of non-repeating digits, and yet you will never find the letter A in pi because there is a 0% chance of the letter A being a digit in a decimal system. By the same logic, infinite possibilities do not guarantee that every conceivable state occurs, if that conceivable state has a 0% probability. As finite beings, it is very difficult for us to accurately distinguish between a 0% probability and a infinitesimal probability, so we end up circling back to “we don’t know”
One the one hand you are correct.
On the other hand… Behold! An A in pi! https://www.spoj.com/problems/PIHEX2/
Haha, I figured it was 50/50 on whether I would get this comment or something about the ASCII representation of the letter A
Shower thought: Pi in base 36 contains every string of characters somewhere.
While pi is irrational, there is no guarantee every conceivable sequence of digits will be in pi. However the library of babel contains all letter sequences under a certain length.
3200 characters, using only the lowercase alphabet, space, comma, and full stop.