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Re: Why does Cantor's diagonal argument fail?
Posted:
Jan 18, 2014 2:25 PM


mueckenh@rz.fhaugsburg.de writes:
> On Saturday, 18 January 2014 14:53:43 UTC+1, Ben Bacarisse wrote: >> mueckenh@rz.fhaugsburg.de writes: >> >> <snip> >> >> > Of course. I have been quoting an exceptionally simple example for years: >> > >> > 0.0 >> > 0.1 >> > 0.11 >> > 0.111 >> > ... >> > >> > If the antidiagonal is constructed by the replacement of 0 by 1 then >> > list and diagonal and antidiagonal are all well defined: The list as >> > the sequence of finite approximations of 1/9, the diagonal as zero, >> > and the antidiagonal as 1/9. >> >> ...which differs from all entries. > > Of course, but
Ha! Does it differ from all entries or not? Is this a question that can be answered in WMaths? Can two numbers differ and not differ in WMaths?
<snip>
 Ben.



