Message-Id: <199709251759.MAA11961@locke.ccil.org> Reply-To: And Rosta Date: Thu Sep 25 12:59:56 1997 Sender: Lojban list From: And Rosta Organization: University of Central Lancashire Subject: Re: RV: na'e entails na? X-To: LOJBAN@cuvmb.cc.columbia.edu To: John Cowan X-Mozilla-Status: 0011 Content-Length: 2114 X-From-Space-Date: Thu Sep 25 12:59:56 1997 X-From-Space-Address: LOJBAN@CUVMB.CC.COLUMBIA.EDU Jorge: > Ok, once again I have been persuaded by And to change my > mind. My position now is that na'e by itself does not entail na. > It only does so when the selbri in question partitions its domain > into exclusive regions (I try to explain what I mean by this below). > > >For example, everyone is either citizen of France or citizen of > >some other country. [NB INCLUSIVE OR] I want to describe > >the latter group as "na`e fraso zei selgugde" > [...] > > but will not be > >able to if everyone bar me gets their way! > > I now agree with your position, as long as it is clear that {na'e broda} > asserts not just any relationship other than broda. It must claim that a > relationship from a very reduced group holds among the arguments. > For the case of fraso, the relationships that may hold can be glico, > dotco, spano, brito, etc, but not for example ropno, since {ko'a ropno} > does not allow us to conclude that {ko'a na'e fraso}. In the case of > glico we cannot have brito as one of the possible "others", and so on. > > How this very restricted group of relationships is selected is the > difficult part, and probably very context dependent. In many cases > the domain of arguments gets partitioned into exclusive regions > by the predicates, and then na'e does entail na. For example, > taking {zmana'u} to mean "x1 is positive", then {ko'a na'e zmana'u}, > "k is non-positive", does entail {ko'a na zmana'u}, because the only > possibilities left are that k is negative or that k is zero. All other > relationships that may be true of ko'a are irrelevant. > > With this strong restriction, I think there isn't really that much of > a distance between the strong and weak forms of na'e. In many > cases it makes no difference which one we choose. I prefer the > weak form because, as And pointed out, the strong form can be > easily obtained with an end-of-bridi naku, whereas the weak > form cannot. I am happy to go along with this as the final verdict on {na`e}, but I do note that now that Don has brought "na ... po`o" into the arena the necessity of that verdict may be diminished. --And