Hello, I have been reading quite a bit about Tegmark's mathematical universe hypothesis. I realise that it is overly speculative in nature, or at least perceived that way. I am unsure if my question is better suited for the philosophy forum as it seems to me inherently unfalsifiable. Despite this I shall proceed. Tegmark claims that viewing the ultimate ensemble of mathematical universes (possibly Gödel complete ones) is the best basis upon which to base our scientific models. He thus creates 4 levels of the ensemble, the “uppermost” of which is the ensemble of all possible mathematical worlds. My question is, why stop there? Is it not possible for there to be an ensemble of universes with entirely different logic and mathematics, if you could call it such? Does Tegmark’s hypothesis only pertain to universes in which there is order of the form we perceive in our universe? Is a level V any more unscientific than a level IV?