this post was submitted on 22 Jan 2024
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Take a look at 0.101001000100001... This number is also non-repeating, but obviously doesn't contain all numbers with finite digits.
The property you're looking for is called to be a normal number. Pi is assumed to be one, but it hasn't yet been proven.
However, in a sense this is an unremarkable property as almost all real numbers are normal. :)
I was just claiming possibility because we haven’t calculated the infinite string