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So, rather than using Pi, is there any way that isn't overly complicated, (and can be calculated on a computer without taking a year) how could I generate an infinite string of numbers that could ultimately contain any string of numbers? Or, if this wouldn't work, do the same but only containing 0s and 1s? Must also be able to generate the exact same string every time.
You're not alone in being confused about how to think of a set. Working out a sensible language for talking about sets cost mathematicians a great deal of sweat and tears. It's now considered one of the major achievements of 20th-century mathematics, and it's still being built upon today. If you set out to explore our universe of sets, or the universes just beyond it, you'll quickly encounter sets that are dizzyingly, terrifyingly, hilariously counterintuitive.
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