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Re: [FWP] japhy had a silly idea...
- To: "Pense, Joachim" <joachim.pense@eds.com>
- Subject: Re: [FWP] japhy had a silly idea...
- From: andrew@pimlott.ne.mediaone.net (Andrew Pimlott)
- Date: Tue, 29 May 2001 01:37:48 -0400
- Cc: "'Daniel S. Wilkerson'" <dsw@digital-integrity.com>, Bernie Cosell <bernie@fantasyfarm.com>, fwp@technofile.org
- Content-Disposition: inline
- Delivered-To: irons-bumppo:net-mpfwp@bumppo.net
- In-Reply-To: <43EB41D0BCEDD2118C310020AFFC1669010CA348@es160298.ws.ru.de.eds.com>; from joachim.pense@eds.com on Tue, May 29, 2001 at 05:48:00AM +0100
- Mail-Followup-To: "Pense, Joachim" <joachim.pense@eds.com>,"'Daniel S. Wilkerson'" <dsw@digital-integrity.com>,Bernie Cosell <bernie@fantasyfarm.com>, fwp@technofile.org
- References: <43EB41D0BCEDD2118C310020AFFC1669010CA348@es160298.ws.ru.de.eds.com>
On Tue, May 29, 2001 at 05:48:00AM +0100, Pense, Joachim wrote:
> Daniel S.Wilkerson wrote:
> >Therefore, R1 and S have the same cardinality. By the
> Schroeder-Cantor-Bernstein
> >theorem
> >(http://www.math.lsa.umich.edu/~mathsch/courses/Infinity/Cardinality/Lesson
> 4.shtml),
> >there is a 1-1 onto map between R1 and S. (Perhaps I could be accused of
>
> The objective of the sub-discussion is not the existence of an 1-1 mapping
> between the two sets, but the presentation of an "obvious" one.
People have different ideas of obvious :-)
But his point is that the "obvious" "almost mapping" really is good
enough, in the sense that the corner cases are negligible--which, to
a mathematician, is obvious.
Really--this mapping would be immediately accepted by any
mathematician who wasn't being intentionally pedantic.
Andrew
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