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Re: Matheology § 203
Posted:
Jan 30, 2013 4:05 AM
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On Jan 30, 9:57 am, WM <mueck...@rz.fh-augsburg.de> wrote: > On 30 Jan., 09:40, William Hughes <wpihug...@gmail.com> wrote: > > > > > > > > > > > On Jan 30, 9:28 am, WM <mueck...@rz.fh-augsburg.de> wrote: > > > > On 30 Jan., 00:16, William Hughes <wpihug...@gmail.com> wrote: > > > > > On Jan 29, 10:11 pm, WM <mueck...@rz.fh-augsburg.de> wrote: > > > > > > On 29 Jan., 21:28, William Hughes <wpihug...@gmail.com> wrote: > > > > > <snip> > > > > > > > It does, however, imply that d in not one > > > > > > of the lines of the list L > > > > > > For that sake you must check all lines. Can you check what is not > > > > > existing? > > > > > So now your claim is > > > > > We can know > > > > > There does not exist a natural number n > > > > such that d is equal to the nth line > > > > of L > > > > > but we cannot know > > > > > d is not one of the lines of L > > > > You are trying hard to misunderstand! > > > Do you agree > > > i. There does not exist a natural number n > > such that d is equal to the nth line > > of L > > > and > > > ii. d is one of the lines of L > > > are mutually exclusive?- > > In existing finite sets this is true. In actually infinite sets it is > not true,
Does
ii. d is one of the lines of L
imply
iii. there is a natural number n such that d is equal to the nth line of L
?
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