I'll also add where I see math fitting in: imagine some complex 3d object changing in time. Now imagine it's wrapped in a kind of net, like you see in 'wirefram

I'll also add where I see math fitting in: imagine some complex 3d object changing in time. Now imagine it's wrapped in a kind of net, like you see in 'wireframes' in computer graphics. If that complex 3D object is our universe, I see math as like that wrapping wireframe: there is a strong correspondence of some kind, and it covers the full extent of what's out there in some sense, but there are still gaps and extents into other directions etc. which are not math (or any form of human description).