Apart from the (well fundamented) critics to Tegmark's Mathematical Universe Hypothesis ( https://arxiv.org/abs/0704.0646 ) I´d like to know how he justifies the assumption of the Computable Universe Hypothesis.
It seems that it uses it to avoid Godel incompleteness but I can´t find in the cited paper where he explains why he assumes it.
In fact, in his book "Our Mathematical Universe" he says (bold is mine):
A first concern about the CUH is that it my sound like a surrender to philosophical high ground, effectively conceding that athough all possible mathematical structures are "out there", some have privileged status. However my guess is CUH turns out to be correct, it will be instead be because the rest of the mathematical landscape was mere illusion, fundamentally undefined and simply not existing in any meaningful sense
So does anybody know the reason for Tegmark´s CUH assumption?