"0.999... = 1" isn't really a "claim", it's a definition. Well, it's technically a claim, but one that is obviously true once we agree on what 0.999... means.

"0.999... = 1" isn't really a "claim", it's a definition. Well, it's technically a claim, but one that is obviously true once we agree on what 0.999... means. Anyone who doesn't agree that 0.999... = 1 has a different definition of 0.999... from the one used in mainstream math notation.