Re: [lojban] Use and abuse of sets

[John Cowan <jcowan@reutershealth.com>]

From: John Cowan <jcowan@reutershealth.com>

Adam Raizen wrote:

> > "klesi" is the gismu for "set", because classes and sets are the same
> > concept, except for certain exceptions among the transfinite classes.
> 
> Not that I know much about set theory, but wouldn't the place
> structure of the bridi for "mathematical set" have to be close to "x1
> is the set with members x2 (complete specification)".

Predicates can't compel their arguments to be a complete specification,
unless the argument is (you guessed it!) a set.  That would be awfully
close to circularity for "klesi".  Therefore, klesi are defined in terms of the
superset x2 and a membership property x3, the "such that" which in
Lojban is "lo ka".

-- 

Schlingt dreifach einen Kreis vom dies! || John Cowan <jcowan@reutershealth.com>
Schliesst euer Aug vor heiliger Schau,  || http://www.reutershealth.com
Denn er genoss vom Honig-Tau,           || http://www.ccil.org/~cowan
Und trank die Milch vom Paradies.            -- Coleridge (tr. Politzer)

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