BPFK Section: Inexact Numbers
> Sanity check. Are you saying that {pa fi'u re} is different as an outer
> quantifier than {pi mu}?
Right. The proposed definitions are:
PA1 fi'u PA2 sumti = PA1 out of every PA2 of the referents of sumti.
piPA sumti = A piPA fraction of one of the referents of sumti.
> Are you saying that {pi mu broda} means half of one broda, while {pa fi'u re
> broda} means half of all brodas?
"One out of every two brodas", yes.
> If so, why?
To be consistent with other definitions.
We want masses to be things: {loi broda} = {lo gunma be lo broda}
We want {piso'i loi broda} to be "a lot of brodas".
>I thought it was concluded a while ago that outer quantifiers
> that
> don't somehow resolve to an integer don't make sense. (As in, you can't
> really
> say you have 0.5 apples, when what you have is a single half-apple, because
> you could also have two half-apples that are different from one apple.)
piPA quantifiers, as can be seen from the definition, are not true
quantifiers. They are a shorthand for a description.
piPA sumti = lo piPA si'e be pa me sumti
(The same is true for inner quantifiers, which are also part of a
description.)
I am not especially committed to this definition of piPA quantifiers.
If we want to identify {pimu} with {pa fi'u re} as quantifiers, then
we must:
1) Drop CLL's interpretation of piPA's with masses and sets,
or
2) Drop the idea that masses and sets are possible values of da,
or
3) Drop the interpretation of {PA1fi'uPA2} as PA1 out of every PA2,
or
4) Find some other definitions that are consistent with all of that.
Any suggestions?
mu'o mi'e xorxes
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