Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: Matheology � 300
Replies: 27   Last Post: Jul 9, 2013 2:50 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Virgil

Posts: 9,012
Registered: 1/6/11
Re: Matheology � 300
Posted: Jul 9, 2013 2:50 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

In article <539a0165-24da-4a63-8069-a220d93c3a68@googlegroups.com>,
mueckenh@rz.fh-augsburg.de wrote:

> On Tuesday, 9 July 2013 00:59:26 UTC+2, Virgil wrote:
>

> > Consider the strictly increasing sequence f(n) = (n-1)/n.
>
> > While there is never a last term to that sequence, but when one has
> > increases to 1, one has past by all the terms of that sequence.

>
>
> The limit 1 will never be reached by passing through infinitely many terms.
> The limit 1 only says that no term will be 1 but many terms will come as
> close as you like.


When one has passed every n in (n-1)/n, the difference from 1 will be 0.
>
>
> It is impossible to reach pi by its rational approximations. It is impossible
> to define Cantor's diagonal by digits.


It is outside of WM's wild weird world of WMytheology.


> All its digits belong to rational
> approximations.


All its digits belong to {0,1,2,3,4,5,6,7,8,9}, but it does not belong
to the list from which it was derived.


> But all rational approximations can be in a
> rationals-complete list.


That is irrelevant!
The point is that no list (countable set) of reals can contain all reals.
>
> For every index n exist infinitely many lines


>
> Since it is impossible to find

any logic in WMytheology

None of WM's arguments in any way repudiate EITHER of Cantor's proofs
that there is no ennumeration (listing) or reals containing all reals.
--





Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.