Actually, curiously enough, I didn't have that reaction - not exactly sure why. I think I even thought it was really cool, as in, "Hah! The carry is infinitely far away!" (I even remember coming up with some trick for calculating fractions based on using 0.999... instead of 1.) I think it's some sort of brain-wiring thing.
...but it's hard (if not impossible) to counter the proofs.
Some proofs more than others, of course - although it's a good reference, I count Sam Hughes's "Quickest Proof" (http://qntm.org/?pointnine) (and, in fact, his Preliminary Note) as dubious.
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...but it's hard (if not impossible) to counter the proofs.
Some proofs more than others, of course - although it's a good reference, I count Sam Hughes's "Quickest Proof" (http://qntm.org/?pointnine) (and, in fact, his Preliminary Note) as dubious.