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Re: [lojban] multiple logical connectives



At 01:53 AM 1/13/02 +0000, thinkit41 wrote:
OK, this is lojban related so I hope I haven't been killfiled too
much. Anyway, I was looking at the logical connective section and
noticed it sort of glossed over how two or more connectives together
work. Now in general a truth table or x arguments is 2^(2^x),
right? Repeated connectives give you 16^(x-1). Now these happen to
coincide for x=2 and 3, after which I think the general truth table
becomes increasingly larger.

My question is, for x=3, can the connectives give you the full
trutch table?

Not without repeating terms.

lojbab
--
lojbab lojbab@lojban.org
Bob LeChevalier, President, The Logical Language Group, Inc.
2904 Beau Lane, Fairfax VA 22031-1303 USA 703-385-0273
Artificial language Loglan/Lojban: http://www.lojban.org