Max Tegmark has an opinion piece in the Huffington Post arguing that the universe is not just described by mathematics, but is in fact purely mathematical. As such, it exists within some huge ensemble of other universes.
I find it rather light...in other words, not terribly convincing but giving us so little in the way of actual argument that there's little to say. I do wonder what it would take for one to construct some new, mathematical universe...can one just have a set of numbers? Do you need an operator?
Apparently, he's got a book to sell, but this piece doesn't prod me to look at it.