I never said we’d be able to understand or prove everything, just that there is some logic underpinning reality. It might be that some things are fundamentally unknowable, but that doesn’t mean it doesn’t exist to be known, just that we’ll never know it.
I also don’t get what the halting problem proves about reality. It might be possible that infinities or unresolvable results are real, so long as we can still exist. The cosmological principle proves that we have to live in a reality that it is possible for us to exist in, otherwise we wouldn’t be here to observe it. So long as the infinities or uncomputable problems don’t prevent our existence, it might represent reality. If the equation doesn’t allow us to exist, then it doesn’t represent reality.