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From: "And Rosta" <a.rosta@v21.me.uk>
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Date: Mon, 24 Jan 2005 19:43:09 -0000
Subject: [lojban] Re: outer and inner quantifiers on "le"
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xorxes:
> --- And:
>> Anyway, the half-an-apple reading has some strange consequences:
>>
>> pi mu (lo) plise cu se citka
>> = pi mu da poi plise cu se citka
>> = pi mu da ge plise gi se citka
>> = "Half something is an apple and is eaten"
>>
>> Now *that* looks like gobbledygook!
>
> Yes, but it is still almost gobbledygook under the other
> interpretation: "one out of every two things is both an apple
> and is eaten".
>
> The move from restricted to unrestricted quantificaton for
> fractional quantifiers, under any interpretation, won't work
> like for regular quantifiers.

True. But partitive fractional quantifiers will not make sense with
any {da}, whereas 'frequency'/'incidence' fractional quantifiers
will at least make sense with restricted da.

>> Likewise, if {mi citka pi mu plise}, is the cardinality of {lo'i se citka
>> plise} 0.5? Hardly.
>
> That doesn't bother me so much, it is a reasonable extension of the
> idea of cardinality.

To my unmathematical mind, cardinalities must be positive integers (or
0); nothing else makes sense.

> It seems to me that any convention we adopt will have its unintuitive
> side, so it's just a question of what is more useful.

In that case, I suppose {pi mu lo'i broda} might serve for "one in every
two broda".

--And. 


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