Re: .999... ?= 1

From: Eckard Blumschein (blumschein_at_et.uni-magdeburg.de)
Date: 06/10/04 

Date: Thu, 10 Jun 2004 18:23:23 +0100

Virgil wrote:

> But if you do away with zero, then you automatically do away too with
> all "numbers" that need the digit zero in their decimal representation,
> which would leave an immense number of ponderable excisions in the
> "real" line.

Fist: I do not throw away zero. I merely say there is no actually
accessible real "number" zero but scores of doubles instead. So I do not
have to bother about the possibility to simply separate the reals in
positive ans negative one with nothing, in other words with -0.0 oberbar
  = +0.0 overbar in between.

Second: Our decimal system uses integers including zero as to
approximate reals.

Third: Removal of a finite number of real "numbers" from Q or R does not
harm the continuum at all. In order to get a deficite, one would have to
remove infinitely much.

Eckard Blumschein

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