From nobody@digitalkingdom.org Fri Jul 14 08:34:02 2006 Received: with ECARTIS (v1.0.0; list lojban-list); Fri, 14 Jul 2006 08:34:02 -0700 (PDT) Received: from nobody by chain.digitalkingdom.org with local (Exim 4.62) (envelope-from ) id 1G1Pfj-0008Na-2c for lojban-list-real@lojban.org; Fri, 14 Jul 2006 08:33:43 -0700 Received: from web81306.mail.mud.yahoo.com ([68.142.199.122]) by chain.digitalkingdom.org with smtp (Exim 4.62) (envelope-from ) id 1G1Pfi-0008NT-1S for lojban-list@lojban.org; Fri, 14 Jul 2006 08:33:42 -0700 Received: (qmail 50907 invoked by uid 60001); 14 Jul 2006 15:33:40 -0000 DomainKey-Signature: a=rsa-sha1; q=dns; c=nofws; s=s1024; d=sbcglobal.net; h=Message-ID:Received:Date:From:Subject:To:In-Reply-To:MIME-Version:Content-Type:Content-Transfer-Encoding; b=frh/wCfzlJCw3bvg/Wp2INPYRf+spzrEKH/H+PidFw5y9txmjCOuwMUEZDyPuPQGCBhmXczkdJiJdXBhMP+moXgTvruNegwE2x/tcvyRb4EKeVgDSYD97yF2/O3xztQnSi1zOvENGKaE9HetwbxSK/b4PRpfxWuOml2IP68aHqQ= ; Message-ID: <20060714153340.50905.qmail@web81306.mail.mud.yahoo.com> Received: from [70.230.169.179] by web81306.mail.mud.yahoo.com via HTTP; Fri, 14 Jul 2006 08:33:40 PDT Date: Fri, 14 Jul 2006 08:33:40 -0700 (PDT) From: John E Clifford Subject: [lojban] Re: A (rather long) discussion of {all} To: lojban-list@lojban.org In-Reply-To: <925d17560607131846jb3d95d1wf9559cf162677db5@mail.gmail.com> MIME-Version: 1.0 Content-Type: text/plain; charset=iso-8859-1 Content-Transfer-Encoding: 8bit X-Spam-Score: -0.6 (/) X-archive-position: 12195 X-ecartis-version: Ecartis v1.0.0 Sender: lojban-list-bounce@lojban.org Errors-to: lojban-list-bounce@lojban.org X-original-sender: clifford-j@sbcglobal.net Precedence: bulk Reply-to: lojban-list@lojban.org X-list: lojban-list --- Jorge Llamb�as wrote: > On 7/13/06, John E Clifford wrote: > > > > > A is an assignment iff A is a function from variables to concepts > > A(c/x) is an assignment just like A except that it assigns the concept c to variable x instead > of > > A(x). > > (I assume assignment A and relation A are different things, it might > be a good idea to use different letters.) Yeah; this thing went through at least three versions so somethings didn't get caught up from one version to the next. Will fix. thanks. > Question: Given an assignment A, is the assignment A(c/x) also given, > or are they independent functions? Yes, that is, given A and c and x, A(c/x) is defined. > > If a is a term, R(a) = I(a) if a is a name, R(a) = A(a) if a is a variable, R(a) is a concept > c > > such that F is true for A(c/x), if a = txF > > So R is a function from terms to concepts. Is it called something? Well, the usual expressions is "reference" but that doesn't seem appropriate here. > We don't know what "F is true" means at this point, not sure if this > could lead to circularity. These definitions are all collapsed forms of recursive definitions (I was trying to keep this as uncomplicated as possible -- but when you simplify one place it always makes a probelm sowhere else). So txF ia > > Where P is a predicate and a a term, Pa is d-true for I and A iff for every individual i > included > > in R(a) and for every concept c s.t. I(c) = i, I(P)(c) = 1 > > That would be "every individual i included in I(R(a))", I think. > > > A Pluralist model > ... > > C is a relation between concepts and items in D, such that for every d in D, there is at least > > once c such that c is related by C only to d (C/d) > > What's (C/d) ? > > The restriction for every d doesn't seem to have an equivalent in the > singularist model. > > > And interpretation I is a function which assigns > ... > > To A the function from pairs of concepts into {0,1} such that I(A)(R(a)R(b)) = 1 iff > > for every thing d such that R(a)Cd holds, R(b)Cd holds > > Couldn't A be defined more generaly for any c1,c2 like for the singularist > model, instead of just for R(a)R(b)? > > mu'o mi'e xorxes > > > To unsubscribe from this list, send mail to lojban-list-request@lojban.org > with the subject unsubscribe, or go to http://www.lojban.org/lsg2/, or if > you're really stuck, send mail to secretary@lojban.org for help. > > To unsubscribe from this list, send mail to lojban-list-request@lojban.org with the subject unsubscribe, or go to http://www.lojban.org/lsg2/, or if you're really stuck, send mail to secretary@lojban.org for help.