From a.rosta@ntlworld.com Sun Aug 12 07:59:42 2001
Return-Path: <a.rosta@ntlworld.com>
X-Sender: a.rosta@ntlworld.com
X-Apparently-To: lojban@yahoogroups.com
Received: (EGP: mail-7_3_1); 12 Aug 2001 14:59:42 -0000
Received: (qmail 68551 invoked from network); 12 Aug 2001 14:59:41 -0000
Received: from unknown (10.1.10.26)
  by l10.egroups.com with QMQP; 12 Aug 2001 14:59:41 -0000
Received: from unknown (HELO mta02-svc.ntlworld.com) (62.253.162.42)
  by mta1 with SMTP; 12 Aug 2001 14:59:41 -0000
Received: from andrew ([62.253.90.159]) by mta02-svc.ntlworld.com
  (InterMail vM.4.01.03.00 201-229-121) with SMTP
  id <20010812145939.BNSC29790.mta02-svc.ntlworld.com@andrew>
  for <lojban@yahoogroups.com>; Sun, 12 Aug 2001 15:59:39 +0100
To: "Lojban@Yahoogroups. Com" <lojban@yahoogroups.com>
Subject: negating connectives
Date: Sun, 12 Aug 2001 15:58:44 +0100
Message-ID: <LPBBJKMNINKHACNDIIGMAEPEEIAA.a.rosta@ntlworld.com>
MIME-Version: 1.0
Content-Type: text/plain;
  charset="iso-8859-1"
Content-Transfer-Encoding: 7bit
X-Priority: 3 (Normal)
X-MSMail-Priority: Normal
X-Mailer: Microsoft Outlook IMO, Build 9.0.2416 (9.0.2910.0)
Importance: Normal
X-MimeOLE: Produced By Microsoft MimeOLE V5.00.2615.200
From: "And Rosta" <a.rosta@ntlworld.com>

As per standard logic, negating a connective reverses its truth table. E.g.

E na E
T T : T F
T F : F T
F T : F T
F F : F T

My question is, firstly:
How do we negate a connective so as to mean "this connective yields a
false/wrong truth table, but its truth-reversal does not necessarily yield a
true/correct truth table"?
For example, if I know that p iff q, I would like to be able to somehow say
that I know that it is false/wrong that p and q.

And secondly:
In asking the first question, am I falling victim to the fallacy of
construing connectives as possible-worlds operators, so that the answer
to my question needs to be sought amid the logic of possible-world
operators rather than the logic of connectives?

--And.




