But as you may know, not correct. You've made the same mistake Nietzsche did, re infinite sequences implying uniform recurrence. They could, but they don't, necessarily. Not even if the digits are evenly distributed.
Think of it this way. Take a sequence that's evenly distributed the way you've envisioned, where every sequence is there somewhere. Now take away (possibly an infinite set) of various sequences that, as a set are also evenly distributed (and every instance of those sequences). This yields a new sequence that's still evenly distributed but obviously doesn't include every possible sequence. Q.E.D.
So there, Nietzsche. You were desperately worried about nothing.
But as you may know, not correct. You've made the same mistake Nietzsche did, re infinite sequences implying uniform recurrence. They could, but they don't, necessarily. Not even if the digits are evenly distributed.
Think of it this way. Take a sequence that's evenly distributed the way you've envisioned, where every sequence is there somewhere. Now take away (possibly an infinite set) of various sequences that, as a set are also evenly distributed (and every instance of those sequences). This yields a new sequence that's still evenly distributed but obviously doesn't include every possible sequence. Q.E.D.
So there, Nietzsche. You were desperately worried about nothing.