User blog comment:Vel!/Ramblings on Iota/@comment-1605058-20130704163128

I can define sort of more formal Kappa function - let's say we have machine in Conway's Game of Life with current configuration of the Universe together with it's position in spacetime as an input. Machine does following: it checks all automata in order for number of steps computed from spacetime position. If configuration of automaton matches state of the Universe, we found what we wanted. We simulate our machine for N steps. Largest number defined in that automaton at this point is Kappa(N). This is better than your function, because if we had 2 automata simulating Universe, we would get many values.