This is a bit of an overspill from the Religion post, but I'd be interested to find out if true randomness exists in maths? I've done a bit of a google, but cannot understand much of what I've read, though one site said that randomness cannot be achieved by any algorithm, and that implies it is absolutely impossible to describe randomness in any logical way. Is this correct. I believe the slot machines in Vegas use a pseudo random number generator; and I'm guessing that a true random number generator would be better? So, simple question, does true randomness exist in mathematics?