From: "Dmitry A. Kazakov" <mailbox@dmitry-kazakov.de>
Subject: Re: and then... (a curiosity)
Date: Thu, 4 Sep 2008 18:33:30 +0200
Date: 2008-09-04T18:33:34+02:00 [thread overview]
Message-ID: <1tm4gzcy6psv7$.xon8yk0ehqlf.dlg@40tude.net> (raw)
In-Reply-To: Pine.LNX.4.64.0809041404570.22581@medsec1.medien.uni-weimar.de
On Thu, 4 Sep 2008 14:12:57 +0200, stefan-lucks@see-the.signature wrote:
> BTW, why do you think that an exception, such as a Constraint_Error,
> should logically count as a contradiction?
>
> Dividing something by zero is undefined, not a contradiction.
Undefined is a too vague term.
When a mathematician tells that X/0 > 100 is undefined he usually means
that X/0 > 100 has no interpretation.
But "X/0 > 100 = _|_" has an interpretation. Namely: m(X/0 in ]100,oo[)=1,
m(X/0 not in = ]100,oo[)=1. I.e. it is both possible for X/0 be in ]100,oo[
or in its complement. This is uncertainty.
"X/0 > 100 = T" means that neither is possible (contradiction). This
"contradiction" is closer to an intuitive understanding of X/0 > 100, yet
it is not the standard mathematical meaning of, which is that X/0 > 100 is
not a formula at all.
--
Regards,
Dmitry A. Kazakov
http://www.dmitry-kazakov.de
next prev parent reply other threads:[~2008-09-04 16:33 UTC|newest]
Thread overview: 93+ messages / expand[flat|nested] mbox.gz Atom feed top
2008-08-29 21:06 and then... (a curiosity) mockturtle
2008-08-29 21:47 ` Samuel Tardieu
2008-08-30 21:28 ` Maciej Sobczak
2008-08-31 8:28 ` Georg Bauhaus
2008-08-31 23:21 ` Ray Blaak
2008-09-01 8:05 ` Martin Krischik
2008-09-01 17:56 ` Ray Blaak
2008-09-02 6:53 ` Martin Krischik
2008-09-02 14:56 ` Adam Beneschan
2008-09-02 16:28 ` Ray Blaak
2008-09-02 16:26 ` Ray Blaak
2008-09-02 20:50 ` Robert A Duff
2008-09-03 12:35 ` Brian Drummond
2008-09-03 15:56 ` Robert A Duff
2008-09-04 22:09 ` Brian Drummond
2008-09-03 21:01 ` Vinzent Hoefler
2008-09-02 14:50 ` Adam Beneschan
2008-08-29 22:28 ` Adam Beneschan
2008-08-30 1:06 ` Jeffrey R. Carter
2008-08-30 11:21 ` Dmitry A. Kazakov
2008-08-30 15:35 ` Peter C. Chapin
2008-09-02 15:06 ` Adam Beneschan
2008-09-02 3:41 ` Steve
2008-09-02 7:48 ` stefan-lucks
2008-09-02 8:57 ` Martin Krischik
2008-09-02 10:50 ` stefan-lucks
2008-09-02 10:33 ` Ludovic Brenta
2008-09-02 13:32 ` stefan-lucks
2008-09-02 12:53 ` Ludovic Brenta
2008-09-02 17:32 ` Georg Bauhaus
2008-09-03 13:14 ` stefan-lucks
2008-09-03 12:44 ` Dmitry A. Kazakov
2008-09-02 13:39 ` stefan-lucks
2008-09-02 13:40 ` stefan-lucks
2008-09-02 16:48 ` Dmitry A. Kazakov
2008-09-02 17:00 ` Keith Thompson
2008-09-02 19:15 ` Simon Wright
2008-09-02 20:37 ` Robert A Duff
2008-09-02 20:58 ` Jeffrey R. Carter
2008-09-02 21:08 ` Robert A Duff
2008-09-03 12:24 ` Pascal Obry
2008-09-02 22:34 ` Santiago Urueña
2008-09-03 5:56 ` Robert A Duff
2008-09-03 6:55 ` Santiago Urueña
2008-09-03 14:14 ` Adam Beneschan
2008-09-03 0:11 ` Randy Brukardt
2008-09-02 17:20 ` Georg Bauhaus
2008-09-04 1:05 ` Stephen Leake
2008-09-04 6:45 ` stefan-lucks
2008-09-04 7:35 ` Dmitry A. Kazakov
2008-09-04 12:04 ` stefan-lucks
2008-09-04 13:00 ` Dmitry A. Kazakov
2008-09-04 19:05 ` stefan-lucks
2008-09-04 20:28 ` Dmitry A. Kazakov
2008-09-05 6:57 ` stefan-lucks
2008-09-05 6:34 ` Ray Blaak
2008-09-05 14:14 ` Robert A Duff
2008-09-05 15:04 ` Dmitry A. Kazakov
2008-09-07 16:45 ` stefan-lucks
2008-09-05 15:14 ` Hyman Rosen
2008-09-05 15:59 ` Adam Beneschan
2008-09-05 16:10 ` Hyman Rosen
2008-09-07 16:36 ` stefan-lucks
2008-09-07 16:08 ` Gautier
2008-09-04 7:39 ` Karel Th�nissen
2008-09-04 12:12 ` stefan-lucks
2008-09-04 15:13 ` Georg Bauhaus
2008-09-04 15:16 ` Karel Th�nissen
2008-09-04 15:42 ` Dmitry A. Kazakov
2008-09-04 19:27 ` stefan-lucks
2008-09-04 19:43 ` stefan-lucks
2008-09-04 19:40 ` Georg Bauhaus
2008-09-05 7:00 ` stefan-lucks
2008-09-05 6:35 ` Ray Blaak
2008-09-04 20:06 ` Karel Th�nissen
2008-09-05 7:44 ` stefan-lucks
2008-09-05 6:41 ` Vinzent Hoefler
2008-09-04 20:09 ` Karel Th�nissen
2008-09-05 7:25 ` stefan-lucks
2008-09-05 6:37 ` Ray Blaak
2008-09-05 8:20 ` stefan-lucks
2008-09-05 13:57 ` Robert A Duff
2008-09-04 16:33 ` Dmitry A. Kazakov [this message]
2008-09-04 19:31 ` stefan-lucks
2008-09-04 19:59 ` Karel Th�nissen
2008-09-05 7:27 ` stefan-lucks
2008-09-05 8:38 ` Ludovic Brenta
2008-09-04 20:17 ` Dmitry A. Kazakov
2008-09-05 13:26 ` Robert A Duff
2008-09-05 13:49 ` Robert A Duff
2008-09-03 1:24 ` Stephen Leake
2008-09-03 3:31 ` tmoran
2008-09-03 13:22 ` stefan-lucks
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