Computation arises from very simple axiomatic systems, in surprising ways, and that in turn has profound implications for quite a number of things.
But people have been playing with constructive mathematics as a foundation for a long time, but Wolfram doesn't seem to acknowledge that.
I think a lot of us who studied computer science forgot some of the magical epiphanies we had when learning about the nature of computation, so it's always fascinating when Physicists re-derive something in the field.
It's probably similar to how they view it when CS folk wade into discussion on QM and reach enlightenment.
Finally though, I give Wolfram a ton of credit not necessarily for his book, but for actually trying to derive modern physics from (his) version of constructive mathematics.
It's not often you see someone really pushing on something like this in public and willing to discuss their progress in real time.