MathFoundations191: Numbers, polynumbers, and arithmetic with vexels II
Why do you not learn Vexel theory?
why do you still care about carrying like a brianlet?
Why do you limit yourself to count to 10^200?
look at this brainlets and their carrying
Because there are weird formal problems that arise depending on how you implement these data structures. If you're not careful it is possible to introduce paradoxes.
That said you don't need a PhD to do this sort of thing and there are many different approaches towards the problem of foundations. Wildbergers approach is of interest because he is often critical of other approaches and because his goal doesn't include real numbers so it may not have the weirdness associated with such systems.