As far as I understand, if you look at a number between 0 and 1 with a truly random infinite decimal expansion: 0.22134967842153005356... then there is ab

As far as I understand, if you look at a number between 0 and 1 with a truly random infinite decimal expansion: 0.22134967842153005356... then there is absolutely no pattern in the digits, so a program that wants to compute it can do no better than storing all the digits. But then the program would have infinite size.