Stephen Wolfram recently wrote an interesting article about his proposed relationship between mathematics and physics (The Physicalization of Metamathematics and Its Implications for the Foundations of Mathematics—Stephen Wolfram Writings).
There, Wolfram talks about the physicalization of mathematics and adopts some sort of platonic position saying that mathematics does really exist in some sense or another because mathematics and all the relations between abstract concepts would exist in a space he calls “ruliad” (more information in the article).
This reminded me of Tegmark’s thesis of the “Mathematical Universe Hypothesis” where all mathematical structures would exist as separated universes (Mathematical universe hypothesis - Wikipedia).
There’s even a comment in that article asking what is the relation between Wolfram’s and Tegmark’s ideas, but unfortunately nobody replied.
Therefore, basically my question is: Since Wolfram says that all possible mathematical concepts and structures would exist in the rulial space, and the ruliad is what makes reality and every possibility is realized by it, couldn’t we say that all the universes proposed by Tegmark would exist in some way according to Wolfram’s ideas?
Thank you