Helloo.

I've been reading a Paul Davies book, and in it he suggests that human's ability to do maths is related to the physical structure of their brains and the physics of the universe in general - we can only understand maths as it is because we can only compute physically computable things, which is defined by the physics of the universe.

So, obviously humans figured out a system that included a solution to the square root of minus one - the imaginary unit. When I use my old-fashioned calculator, it has no idea what I mean. Neither does Excel. It doesn't tell me, Yes there is a solution to the square root of minus one. It tells me, What? That's not maths.

So I have two questions. Can computers solve the square root of minus one? And if they can't, why can't they when human minds can?