Re: Attempts to Refute Cantor's Uncountability Proof?



Hatto von Aquitanien wrote (to kunzmilan):

So your method of generating all the members of an infinite
set failed.

Try this: Since I am told that it is meaningful to talk about
generation ad infinitum, why not start by something simple.
I have an algorithm which generates n.0, n.1,..., n.9, on the
first pass. On the second, it generates n.01, n.02, ..., n.09,
n.10, n.11, ..., n.19...,n.99. Where n is the non-negative
integer being visited. First visit 0, and make one pass,
then visit 1 and make one pass, return to 0 and make a second
pass, then to 1 and make a second pass, then visit two, etc....
Eventually, you will construct every number representable in
decimal notation.

At what point in your list will 1/3 be reached? A rough estimate
would be acceptable.

Dave L. Renfro

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