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

Topic: Matheology � 258
Replies: 3   Last Post: May 3, 2013 12:49 PM

Advanced Search

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

Posts: 8,833
Registered: 1/6/11
Re: Matheology � 258
Posted: May 3, 2013 3:08 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

In article
<37bbec6d-1608-4cd2-b5a4-63b4f4e95919@r7g2000vbw.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.de> wrote:

> In mathematics, there are two fundamental axioms, they are so obvious
> that they are not spoken out:
>
> 1) The limit of a sequence of numbers or of sets or of anything else
> is determined by the finite terms of the sequence only.
>
> 2) The limit of a sequence of numbers or of sets or of anything else
> cannot be changed by some ado that does not belong to the sequence.


Both of which, while true, do not in any way support WM's delusions or
comradict the actual infiniteness of certain sets like the set of al;l
natural numbers.

Note that, in general, the limit, if it exists, of a sequence or series
need not be a member of that sequence or series, not even in
Wolkenmuekenheim.

For example the sequence of all FISONs (finite initials sets of
naturals), taken in order of increasing size, has a limitset which is
not a FISON but is the union of all FISONs or, equivalently, of any
infinite set of FISONs.

At least everywhere outside of Wolkenmuekenheim.
--
--




Date Subject Author
5/3/13
Read Re: Matheology � 258
Virgil
5/3/13
Read Re: Matheology § 258
rt servo

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.