From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/7079 Path: news.gmane.org!not-for-mail From: "Fred E.J. Linton" Newsgroups: gmane.science.mathematics.categories Subject: Re: Dualities arising via pairs of schizophrenic objects Date: Mon, 28 Nov 2011 01:18:19 -0500 Message-ID: Reply-To: "Fred E.J. Linton" NNTP-Posting-Host: lo.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: quoted-printable X-Trace: dough.gmane.org 1322486759 17007 80.91.229.12 (28 Nov 2011 13:25:59 GMT) X-Complaints-To: usenet@dough.gmane.org NNTP-Posting-Date: Mon, 28 Nov 2011 13:25:59 +0000 (UTC) To: Original-X-From: majordomo@mlist.mta.ca Mon Nov 28 14:25:54 2011 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from smtpx.mta.ca ([138.73.1.4]) by lo.gmane.org with esmtp (Exim 4.69) (envelope-from ) id 1RV1DW-00038u-6I for gsmc-categories@m.gmane.org; Mon, 28 Nov 2011 14:25:54 +0100 Original-Received: from mlist.mta.ca ([138.73.1.63]:54301) by smtpx.mta.ca with esmtp (Exim 4.76) (envelope-from ) id 1RV1CW-0007m4-Md; Mon, 28 Nov 2011 09:24:52 -0400 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1RV1CV-0006y2-5G for categories-list@mlist.mta.ca; Mon, 28 Nov 2011 09:24:51 -0400 Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:7079 Archived-At: Anent Graham White's suggestions, > Two possible names are "liminal" (from limen, a doorway), or > "bifrontal" (from frons, which means face: one of the titles of Janus > is Janus bifrons). I kind of like liminal, because it emphasises the > function of the twofacedness, rather than simply the fact that the > object is twofaced. Perhaps "liminal" suggests two-facedness to some, but not to Merriam- Webster ( http://www.merriam-webster.com/dictionary/liminal ), who believ= e = it stands for 1: of or relating to a sensory threshold; 2: barely perceptible; or 3: of, relating to, or being an intermediate state, phase, or condition := in-between, transitional . = And never mind that "two-facedness" in common parlance has to do with a person's being (not liminal, but) deceitful, insincere, or hypocritical= =2E OtOH, liminal does accept prefixes nicely, as: subliminal, supraliminal := -) . As for "bifrontal", often one is faced (sorry :-) ) with an object having= = far more "fronts" than just two. Good old 2 =3D {0, 1}, for example, is: = a set, a pointed set, a bi-pointed set, a poset, a poset with top, a pose= t with bottom, a compact T2 space, a pointed compact T2 space, an abelian g= roup, a meet-semilattice, a frame (though others will insist I should be = saying "locale"), a Boolean Ring, a Boolean Rng, and much much more. Does the prefix "bi-" really adequately capture the potential of having = all that many ... umm ... hate to use this term ... personalities? Cheers, -- Fred "it takes two to tango" Linton, (now [re]tiring from -- sitting out the rest of -- this year's dance) [For admin and other information see: http://www.mta.ca/~cat-dist/ ]