From thinkit8@lycos.com Sat Jan 12 17:53:20 2002 Return-Path: X-Sender: thinkit8@lycos.com X-Apparently-To: lojban@yahoogroups.com Received: (EGP: mail-8_0_1_3); 13 Jan 2002 01:53:20 -0000 Received: (qmail 21072 invoked from network); 13 Jan 2002 01:53:19 -0000 Received: from unknown (216.115.97.171) by m4.grp.snv.yahoo.com with QMQP; 13 Jan 2002 01:53:19 -0000 Received: from unknown (HELO n13.groups.yahoo.com) (216.115.96.63) by mta3.grp.snv.yahoo.com with SMTP; 13 Jan 2002 01:53:19 -0000 Received: from [216.115.96.169] by n13.groups.yahoo.com with NNFMP; 13 Jan 2002 01:40:16 -0000 Date: Sun, 13 Jan 2002 01:53:19 -0000 To: lojban@yahoogroups.com Subject: multiple logical connectives Message-ID: User-Agent: eGroups-EW/0.82 MIME-Version: 1.0 Content-Type: text/plain; charset=ISO-8859-1 Content-Length: 516 X-Mailer: Yahoo Groups Message Poster From: "thinkit41" X-Originating-IP: 12.224.27.33 X-Yahoo-Group-Post: member; u=71054096 X-Yahoo-Profile: thinkit41 OK, this is lojban related so I hope I haven't been killfiled too much. Anyway, I was looking at the logical connective section and noticed it sort of glossed over how two or more connectives together work. Now in general a truth table or x arguments is 2^(2^x), right? Repeated connectives give you 16^(x-1). Now these happen to coincide for x=2 and 3, after which I think the general truth table becomes increasingly larger. My question is, for x=3, can the connectives give you the full trutch table?