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Re: Matheology § 203
Posted:
Jan 29, 2013 6:28 AM
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On 29 Jan., 12:02, William Hughes <wpihug...@gmail.com> wrote:
> To summarize
>
> For every natural number, n, the antidiagonal,d, of a list L
> is not equal to the nth line of L
>
> A statement WM has made.
>
> A) For every natural number n, P(n) is true.
> implies
> B) There does not exist a natural number n such that P(n) is
> false.
>
> A statement WM has made.
>
> There does not exist a natural number n such that d is
> equal to the nth line of L
>
> A statement WM disputes
I do not dispute this statement (as I erroneously had said yesterday,
when being in a hurry). I dispute that this statement implies the
statement:
d is not in one of all lines of the infinite list L and, hence, cannot
be used to argue that cardinality is increased.
(The reson is that "all" is maeningless here.)
What about C1, C2, C3?
Regards, WM
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