I don't think it's fair to say math is limited too much by our minds.
In some ways this is true, but maths, as we use it, is a tool created by the human mind, and its use, if not its potential, is limited by our minds. It might be argued that because maths describes the universe so well, the universe must be mathematical, but this can be a circular argument. One could say that Constable's paintings depicted the Suffolk countryside extremely well, but I think it would require a particular degree of madness to extrapolate from that that the Suffolk countryside was composed of canvass and paint.
I accept that maths can be used to produce representations of more dimensions than our minds can readily visualise, so to that extent maths is not restricted by the limitations of our minds, but what we do with those representations, and how we interpret them is strictly limited by our mental capabilities.
