In article <cc06eaeb-52e9-4dfa-9ab5-b7f9c794dbda@fw24g2000vbb.googlegroups.com>, WM <mueckenh@rz.fh-augsburg.de> wrote:
> On 7 Feb., 08:39, Virgil <vir...@ligriv.com> wrote: > > In article > > <bbdf841d-effe-48c8-b938-0825f9e82...@fv9g2000vbb.googlegroups.com>, > > > > WM <mueck...@rz.fh-augsburg.de> wrote: > > > Matheology § 222 Back to the roots > > > > > Consider a Cantor-list with entries a_n and anti-diagonal d: > > > > > For every n: (a_n1, a_n2, ..., a_nn) =/= (d_1, d_2, ..., d_n). > > > For every n: (a_n1, a_n2, ..., a_nn) is terminating. > > > For every n: (d_1, d_2, ..., d_n) is terminating. > > > > Even if there is last a_n and a last a_nn, n, the d_m's can still go > > on without end.. > > > > > > > > > For all n: (a_n1, a_n2, ..., a_nn) =/= (d_1, d_2, ..., d_n). > > > For all n: (a_n1, a_n2, ..., a_nn) is terminating. > > > For all n: (d_1, d_2, ..., d_n) is *not* terminating. > > > > While (d_1, d_2, ..., d_n) may be terminating, > > d_1, d_2, ..., d_n, ... need *not* ever terminate. > > The diagonal argument includes merely all (d_1, d_2, ..., d_n).
What WM's version of an argument is limited to is irrelevant outside WMYTHEOLOGY.
The diagonal of Cantor's diagonal argument is not limited at all. --
