Date: Thu, 20 Nov 1997 12:49:22 -0500 (EST) Message-Id: <199711201749.MAA10405@locke.ccil.org> Reply-To: And Rosta Sender: Lojban list From: And Rosta Organization: University of Central Lancashire Subject: singular/plural (was: Re: veridicality in English) X-To: LOJBAN@cuvmb.cc.columbia.edu To: John Cowan X-Mozilla-Status: 0001 Content-Length: 4333 X-From-Space-Date: Thu Nov 20 12:49:29 1997 X-From-Space-Address: LOJBAN@CUVMB.CC.COLUMBIA.EDU Lojbab: > >I don't accept these as counterexamples. "Veridical/nonveridical" > >do not mean "true/false". They mean "asserted (by the speaker) > >to be true/false". > > Please amend that. How about "asserted (by the speaker) to be true/ > not-necessarily-true". A non-veridical description is not necessarily a > false one,merely a convenient one. Yes: I erred, as others have pointed out. They mean "asserted/ not asserted to be true" (to use Jorge's correction). > >> So you want to reintroduce grammatical number after all the work we went to > >> to get rid of it? Even after the baseline? Aren't there cmavo for 'single' > >> and 'multiple' to take care of this requirement? > > > >The baseline is irrelevant. This is purely a matter of usage, > >not of design. Furthermore, I don't want to reintroduce > >grammatical number. In contexts where the contrast between > >singular and plural referents is logically irrelevant, I > >am all in favour of letting the distinction be blurred, and I > >recommend lei/loi for this. However, as previously established > >on this list, there are plenty of contexts where the difference > >between singular & plural referents makes a *logical* difference. > >(E.g. {le} with plural ref is scope-sensitive; with singular > >ref it is scope-insensensitive.) Hence a logical language *should* > >distinguish at least between singulars and distributive plurals. > > Well, Lojban is more than just a logical language, and it strives to > eliminate uneccessary assumptions. singular/plural distinction is not > necessary, given what you say, since scope-insensitivity is not harmed if > you treat everything as scope sensitive. Thus, in a logical language, > if it is not absolutely clear that only singulars are being used, then > the speaker *should* treat sumti as scope-sensitive, whether or not this > is truly necessary. It looks like we're not far from agreeing. We agree that {le pa} and {lei} are scope-insensitive. {pa lo} and {loi} are not sensitive to scope relative to other existential quantifiers (I think), though they are sensitive to scope relative to other logical elements. In other words {pa lo} and {loi} are scope-sensitive because of their existential quantifier. {su`o re lo} is scope-sensitive both to ex. quantifiers (because it is plural ({su`o re lo} = {ro lo su`o re lo})) and to other elements (because of its ex. quantifier). {le su`o re} (= {ro le su`o re} is scope-sensitive because it is a plural. Maybe it would be simpler to say that plurals introduce an extra universal quantifier. Yes: that is a simpler way of making the point. (You could see all sumti as having an outermost universal quantifier. This would be vacuous when the quantification is over a singleton set, as is the case with singulars and collectives.) Summarizing so far: singulars: the outermost universal quantifier is vacuous the collective/distributive distinction is vacuous collective plurals: the outermost universal quantifier is vacuous distributive plurals: the outermost universal quantifier is not vacuous If you know you want to refer to a collective plural, then clearly you use {lei/loi}. If you know you want to refer to a distributive plural, then clearly you use {le/lo}. If you know you want to refer collectively to a group of unknown cardinality, then you use {lei/loi}. If you know you want to refer distributively to members of a group of unknown cardinality, then clearly you use {le/lo}. Now, if you know you want to refer to a singular, then in principle you can choose either {le/lo} or {lei/loi} - it makes no difference, and people generally just opt for the shorter one. That then starts to imply that {lei/loi} is used for collective plurals. I, however, advocate using {lei/loi}, because it saves the hearer the redundant and pointless mental effort in processing the appropriate scope that using {le/lo} would entail. Unless {le/lo} are explicitly marked as singular ({le pa}, {pa (lo)}), the hearer must by default assume them to be plural. (As I have said many times before, it would, for the reasons I have given, have been nice to have shorter versions of {le pa}, {le su`o re} and {su`o re}. That would encourage people to encode number distinctions when they are known, and thereby make communication easier.) --And