Re: Cantor and the binary tree
- From: "*** T. Winter" <***.Winter@xxxxxx>
- Date: Thu, 2 Jun 2005 23:54:06 GMT
In article <1117743718.175728.184440@xxxxxxxxxxxxxxxxxxxxxxxxxxxx> mueckenh@xxxxxxxxxxxxxxxxx writes:
> Robert Kolker wrote:
....
> > Consider the identity map from the natural numbers to the natural
> > nubers. There is no infinite natural number.
>
> Consider the mapping
>
> 1 --> {1}
> 2 --> {1,2}
> 3 --> {1,2,3}
> ...
> n --> {1,2,3,...,n}
> ...
> ? --> {1,2,3,...} = N
There is no such number.
> Do you see the contradiction arising from the "infinite set of finite
> numbers"?
What contradiction?
--
*** t. winter, cwi, kruislaan 413, 1098 sj amsterdam, nederland, +31205924131
home: bovenover 215, 1025 jn amsterdam, nederland; http://www.cwi.nl/~***/
.
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