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Re: Matheology § 198
Posted:
Jan 25, 2013 8:23 AM
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On Jan 25, 9:56 am, WM <mueck...@rz.fh-augsburg.de> wrote: > On 25 Jan., 09:20, William Hughes <wpihug...@gmail.com> wrote: > > > > > > > > > > > On Jan 25, 9:11 am, WM <mueck...@rz.fh-augsburg.de> wrote: > > > > On 25 Jan., 09:07, William Hughes <wpihug...@gmail.com> wrote: > > > > > On Jan 25, 8:57 am, WM <mueck...@rz.fh-augsburg.de> wrote: > > > > > "Write a sequence like xxxxxxxxxx... and do never stop" > > > > > Perfectly acceptable finite description of an infinite sequence. > > > > Of course, nothing however that could be diagonalized in a Cantor-list > > > or could be the result of diagonalization. > > > Why not? The diagonalization of a list with finite description is a > > finite > > desciption. > > The diagonalization of finite descriptions does not necessarily supply > a description at all.
Nope.
If list L has a finite description, then the antidiagonal of L has a finite description.
> > > > > Consider the list with every element 0 > > > The result of diagonalization is 111...
Note, that you said that 111... could not be the result of a diagonalization.
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