Presented in the criticism sections of your mentioned Wikipedia articles, Gödel's incompleteness theorem is there as a strong rejection to mathematics = reality

Presented in the criticism sections of your mentioned Wikipedia articles, Gödel's incompleteness theorem is there as a strong rejection to mathematics = reality argument. No mathematics is self-contained, which means it's incomplete to describe the totality of reality. We shouldn't forget that mathematics is an invention of mortal human beings. For the dwellers in quantum space, the mathematical fundamental might be totally different from our one.