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Re: [lojban] Trivalent logic [was: Re: the logical language]
In a message dated 00-06-18 19:16:32 EDT, xorxes writes:
<< in a trivalent logic the unary operations already
have lots of interesting things (necessary, probable,
possible, impossible, etc, are some of the things that
Aymara handles this way).>>
It is not clear just how necessity, probability, etc. would be handled as
trivalent connectives in any useful way. They tend to be about the range of
assignements, rather than expressible in a single assignment. And hence also
to be capable of being treated in any-valent logics. I can imagine trivalent
readings that would resemble these properties, though they would not actually
be them. I can even more easily imagine a natural bivalent language which
had these notion incorporated in some clever way into verb structure. Is
there any evidence of 3^9 binary connectives in Aymara -- or an easy way to
create them? Of half a dozen distinct negations even?
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