Nah, Omega is just defined as a number which contains countably infinite bits of algorithmic information. Since algorithmic information is equivalent to thermo

Nah, Omega is just defined as a number which contains countably infinite bits of algorithmic information. Since algorithmic information is equivalent to thermodynamic information (and likewise relates to quantum information if you head in that direction...), the whole "you can't calculate Omega" thing is really just a way of saying, "You can't have an infinite-precision physical measurement encoded into a finite physical system." Chaitin makes far too much metaphysics of his work.