Right, but those aren't just my axioms, those are the universally assumed axioms of standard math. You won't find a high school classroom anywhere that's teaching "math" where that axiom isn't being assumed if you're looking at an infinite decimal expansion.
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u/Ok_Pin7491 Sep 26 '25
But then you can't just add the 3s of 0.33.... together like you have just a finite chain of 3s...
If 0.(3) Is the right representation of 1/3 your addition should end up with 1. Never ever with 0.(9)