Would it be safe to assume that any string of integers will appear as consecutive digits of pi?
thats a float not an integer.
for integers though I see your point and you are correct can have different series outside of PI
Note : that would be getting into the other structures that are similar to PI
and other artificial constructs for whatever reason.. but eventually and .. normally it will come back to Pi..
If you can prove something along those lines, you'll have shown that pi is normal,and you'll have a publishable math paper on your resume. Until then, no, it's not safe to assume that.
But can can you do it without the axiom of choice?