>The question is, does that mean that the theory space is infinite? If so, that would mean that it would be impossible to know that we've found the truth (as a

>The question is, does that mean that the theory space is infinite? If so, that would mean that it would be impossible to know that we've found the truth (as a single point within this infinite space) - we'd only ever be able to conclude that we've found a closer approximation. Scientists may never run out of work. The theory space is definitely infinite, in either the interesting sense of something like "the space of all possible programs, treated as causal or directed-generative models" or in the trivial sense that you can take any simple, well-supported theory and come up with mathematical elaborations that don't change any of the pre-existing empirical predictions. In a certain sense, "the truth" may constitute an infinitely small point in a space that's more continuous than discrete.