For example, here Barry claims, "Kolmogorov complexity is a measure of randomness (i.e., probability). Don’t believe me? Just ask your buddy Jeffrey Shallit (see here)".
Barry doesn't have even a glimmer about why he's completely wrong. In contrast to Shannon, Kolmogorov complexity is a completely probability-free theory of information. That is, in fact, its virtue: it assigns a measure of complexity that is independent of a probability distribution. It makes no sense at all to say Kolmogorov is a "measure of randomness (i.e., probability)". You can define a certain probability measure based on Kolmogorov complexity, but that's another matter entirely.
But that's Barry's M. O.: spout nonsense, never admit he's wrong, claim victory, and ban dissenters. I'm guessing he'll apply the same strategy here. If there's any better example of how a religion-addled mind works, I don't know one.