BPFK Section: Inexact Numbers
pc:
> > Re: BPFK Section: Inexact Numbers
> >
> > Will this work for fractional quantifiers?
> >
> > piPA sumti == lo piPA si'e be sumti
> >
> > When a sumti has a single referent (which may
> > be a simple individual, a group, a set, etc.)
> > then a fractional quantifier refers to a
> > corresponding fraction of the referent. In
> > particular, a fraction of a group or a set is a
> > subgroup or subset whose cardinality is the
> > corresponding fraction of the cardinality of
> > the whole.
>
> Yes, this seems the reasonable way to go — most
> useful and nearest tradition (I think many peopel
> have done it this way even when JCB was
> explicitly chopping objects in the set to
> pieces.)
>
> >
> > When a sumti has more than one referent (e.g.
> > le ci plise) then a fractional quantifier
> > refers to a fraction of one (which one is not
> > specified) of the referents. Then {pimu le ci
> > plise} is "half of one of the three apples.
>
> Well, this is still one referent due to Lojban's
> plural problem, so why not keep the same pattern
> (except now we know what we are taking the
> fraction of)? Consistency in the roles of these
> various items is a major virtue for me and for
> several other people who have voiced opinions.
> Partitive is again the most common usage — at
> least in English (which in this case gives no
> evidence of being peculiar).
>
> > Then more generally we can define:
> > piPA sumti == lo piPA si'e be pa me
> > sumti
> >
> > which will also cover the case of a single
> > referent.
> >
> > We may then generalize to things like {repimu
> > le ci plise} for "two and a half of the three
> > apples".
>
> This looks to be back at the first definition;
> why the divergence in the middle? Or have I
> missed something about that middle case (or the
> one enclosing it)?
I don't know, I can't figure it out from your comments.
The proposal gives a set of two apples for {pimu le'i vo plise},
a group of two apples for {pimu lei vo plise}, half an apple
for {pimu le vo plise}, and three and a half apples
for {cipimu le vo plise}.
mu'o mi'e xorxes
___
Do you Yahoo!?
Declare Yourself - Register online to vote today!
http://vote.yahoo.com