Return-Path: LOJBAN%CUVMB.BITNET@vms.dc.LSOFT.COM Received: from SEGATE.SUNET.SE (segate.sunet.se [192.36.125.6]) by xiron.pc.helsinki.fi (8.7.1/8.7.1) with ESMTP id AAA13792 for ; Mon, 15 Jan 1996 00:58:37 +0200 Message-Id: <199601142258.AAA13792@xiron.pc.helsinki.fi> Received: from listmail.sunet.se by SEGATE.SUNET.SE (LSMTP for OpenVMS v1.0a) with SMTP id AED8E279 ; Sun, 14 Jan 1996 23:58:36 +0100 Date: Sun, 14 Jan 1996 14:49:53 -0800 Reply-To: "John E. Clifford" Sender: Lojban list From: "John E. Clifford" Subject: tech:logical matters To: lojban list Content-Length: 3068 Lines: 46 &: I think it's likely that people who thought they were arguing with you about existential import were in reality arguing about restricted quantifiers. - That is, there really was a communication failure. pc: I don't think so. Looking back at the record, I see that I was always careful to distinguish between Ax:Fx => Gx and (AxFx)Gx, between _ro da poi broda cu brode_ and all the other forms, between AxFx and (AxFx)Gx, and to say what the differences were. And, so far as I can tell, everyone else in the discussion followed my lead in making those distinctions, except that they insisted that 1) _ro da poi broda_ did not mean anything different from _ro broda_ (etc.), 2) AxFx did not entail ExFx, 3) (AxFx)Gx did not entail (ExFx)Gx, 4) (AxFx)Gx did not mean anything different from Ax:Fx=>Gx and 5) that only the latter form was a correct symbolization of "All F are G." and I repeatedly pointed out that 1) might be true now but was historically inaccurate and left a major gap in the the Lojban system, that 2) was simply false, that 3)& 4) were generally taken to be false (though the symbolism was used by all sorts) and that 5) was flat false (with citations). But we were clearly talking about the same things, as repeated counterarguments showed (thought there was a group who, contrary to your scenario, thought universals had no existential import but denied that the "All F are" forms were conditional). I even got someone (I thought it was &, but apparently not, since he claims only now to notice the distinction) at some point to admit that restricted quantifiers ought to be treated just like unrestricted quantifiers in this matter, but he then went on to infer therefrom that restricted quantifiers did not have existential import because the unrestricted ones did not. (BTW, the discussion started from my saying that, if the implicit internal quantifier in _lo broda_ was _ro_, then logically all forms of _lo broda_ required that there be brodas. For those who denied that -- most people in the discussion, I think -- there is no way to get existential import (without adding "and there are brodas" somewhere) because, while _(su'o) lo (ro) broda_ does say there are brodas, because of the _su'o_, _ro lo (ro) broda_ would not, for neither _ro_ would have that implication). Rather than a failure of communication, it looks to me a lot more like a case of of people getting half of a half-understood idea in their mind, then generalizing it illegitimately, thus making it their own. So, when they were exposed to the full content of the full idea, they reject it as not being the standard stuff, which is what they take their creation to be. And, of course, since they got their stuff (so they think) from the standard source, there is no point in checking just to be sure. I take it that the fact that my say-so was not enough to even get someone to check whether there was something more in that note they half remembered and generalized upon is a reductio ad absurdum on any claim that I have some influence around here. pc>|83