BPFK Section: Inexact Numbers
pc:
> --- Jorge LlambÃas wrote:
> > I understand external PA as {PA fi'u ro}, i.e.
> > PA out of all the referents of the sumti.
>
> But, but, but ... if they are fractional, why are
> the other fractions not fractional? I gather
> that you want to distinguish between {pimu}, {pa
> fi'u re} (and {mu fi'u pano}) and probably
> {nopimu}.
I would say {nopimu} and {pimu} are the same, just
as {pa fi'u re} is also {fi'u re}.
> this is legitimate, but does seem to
> need an explanation, since these are normally the
> same.
The need to differentiate arises from the reified
groups and sets. With lo/le/la we refer to many things
at once, with loi/lei/lai/lo'i/le'i/la'i we refer to
a single thing (with many members). Then we need ways
to talk about a number of things as a fraction of the
total number of things on the one hand, and about a
fraction of a (possibly membered) thing on the other.
Using the same expression for both would lead to
unclear cases. For example, {pimu le selcmi} is
half the set, i.e. a set with half of the members of
le selcmi, whereas {pa fi'u re le selcmi} gives
half of the sets. One out of every two of the sets.
We can't conflate them.
mu'o mi'e xorxes
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