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Re: [lojban] Trivalent logic [was: Re: the logical language]



Robin wrote:

> For example, let's say we give the statement "Foobars like to be
> globbed" a truth value of 0.8 .

The trouble with your reanalysis is that we can do it for ordinary truth
values too.  Consider "snow is white" (true).

>  I would interpret this as either
> 
>  "80% of foobars like to be globbed"

"100% of snow is white."

> or
> 
>    "There is 80% certainty that all foobars like to be globbed"

It is certain that snow is white.

> or
> 
>   "A typical foobar, if asked to express its liking for being globbed on
> a scale from 0 to 1, would give an answer of 0.8"

?When we ask snow whether it is white, it replies "Yes".
?When we ask anyone whether snow is white, he/she replies "Yes".

We can get rid of truth, at least singly, by employing quotation instead:
snow is white if and only if "snow is white" is true.  Unfortunately
this does not extend to quantified uses of it:  (Ex) (x is true) cannot
be disposed of in such a way, and no more can (Ex) (x is 80% true).

-- 

Schlingt dreifach einen Kreis um 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)