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Re: Anselmisms and gadro



At 05:18 AM 8/25/99 -0400, you wrote:
>From: Pycyn@aol.com
>In logic, the article-like objects function like quantifiers, with variables.
>  The stock form is "the x such that Fx."

da poi da broda
or
da voi da broda
for the non-veridical "the"
you can use ke'a in place of da after the relative clause operator
You can also insert a prenex with scope only over the relative clause for 
handling the next problem:

>   The corresponding Lojban would be
>"le da da broda" then (maybe with a separator between the das).  But Lojban,
>of course, does not exactly replicate this version but drops the das
>altogether, "le broda."  With more complicated predicates, the variable
>becomes more important, "the x such that Fyx" can be handled in Lojban with
>conversion, "le se broda y," say.

da poi de broda da
where you could localize de or globalize it:
da de zo'u da poi de broda da
or
da zo'u da poi de zo'u de broda da

>   But what about genuine and functioning
>complexity?  Though there are several intervening levels of complexity, the
>one I am now working with and can not make any headway on is
>"the x such that it is not possible that someone conceive that there is a y
>greater than x"  conversions and collapsed or permuted tanru cannot be used
>here as the scopes of the various operators (possibility, conception,
>quantifiers) are crucial in the argument this leads up to.  Suggestions (and,
>best of all, citations from the Red Book on how to do it legally) would be
>most welcome.

da poi node zo'u de zmadu da
x such that for no y: y is greater than x

We should have sufficient flexibility in scope specification at the 
different levels of prenex, and with nearly the full range of sentence 
structure possible within a relative clause, all of the quantifiers and 
operators should be usable with no particular trouble.

Clearly the chapter on relative clauses - the whole chapter, is relevant to 
the problem.

lojbab



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lojbab                     ***NOTE NEW ADDRESS***           lojbab@lojban.org
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