Fixed the typo. Also changed the argument there entirely: I think that the easy reason to assume we’re talking about real numbers instead of rationals is just that that’s the default when doing math, not because 0.999… looks like a real number due to the decimal representation. Skips the problem entirely.
Fixed the typo. Also changed the argument there entirely: I think that the easy reason to assume we’re talking about real numbers instead of rationals is just that that’s the default when doing math, not because 0.999… looks like a real number due to the decimal representation. Skips the problem entirely.