Is it there any computer or cellular automaton or model of the brain where they could compute logically impossible things and incomputable things?
For example, if we wanted to compute/simulate/think about a universe where 1+1=3 (which would gives as result a universe where literally everything could happen, possible or impossible things; where we could do logically impossible things like drawing a line that intersects a circle at three points, factorizing number 181 or finding a solution to Russell's Set, defined as a list of things that both contains itself and does not contain itself at the same time, without resorting to weird definitions of list/contain/etc, i.e. in the context of naive set theory) we would find immediately important problems:
If 1+1=3, everything equals everything at the same time. Everything is also unequal to everything at the same time. If you hold that as a general assumption, then everything is inconsistent. What this means is that given an algorithm and an input, there is no one output. There are infinitely many outputs. In some contexts infinite possible outputs is not an issue (subject to whether or not you assume the axiom of choice) if those outputs fall on a computable distribution. But in the event that we have exploded logic, there is no such computable distribution. Which means that everything both is and isn't an appropriate output. "1+1=apple".
So could there ever be some computer/cellular automaton/brain that could compute these? Is it there any model of such machine/brain? Even if it is physically impossible given the physics that we have in our universe, is it there any model of that?