Re: 0.999... = 1? (I know, a beaten dead horse)

it's just that the matter of "one" is left unreal, in the sense
that what is really meant is 1.0000..., or "one point repeating-zero."

then, that is the sole ambiguity of "decimals" per se & in any base,
that between, say, 139.90004679999... and
139.90004680000... and so on.

(to be compleat, one also needs "leading zeroes,"
which I leave as an exercise .-)

> But in the case of 0.999... = 1, I can't understand how both can be in
> the same set of real numbers and be equal to each other too. I think it
> has to do with the fact that 0.999... isn't really a number you can
> calculate with since the string of 9s is infinite so it is really more
> of a limit representation. But that makes me think, well, is there a
> discontinuity in what we think of as the real number line? If 0.999...
> is equal to 1, then what value is given to the point just to the left
> of 1 on the real number line?

--Hemp for Haemarrhoids (Bogart that Poultice, Friend) !!
http://members.tripod.com/~american_almanac

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