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Re: [jboske] The ugly head of ni



In a message dated 11/3/2002 2:41:26 PM Central Standard Time, xod@hidden.email writes:
<<
It seems we're down to two uses of ni: ni + ce'u, used for counting the
valid sumti in a tergi'u, and ni without any ce'u, which is like jei, but
not restricted to [0, 1].

>>
But that is not what {ni} + {ce'u} does -- well any case that anyone has presented so far as I can find, thought it is a possibility for something like "is numerous," I suppose.  And the non-restriction to [0,1] and, indeed, to any special frame for all cases, is a crucial difference.  That and the need for a correlation to get from "how much" to "whether."

<<
I can see how it might also be
> useful to be able to conflate them.



Yes, indeed. The conflation is the essential insight of fuzzy logic.
>>
Well, not really, since it does not occur exactly in fuzzy logic.  The epsilon function is a measure of how much an object is in a set, where the range is already restricted to [0,1], not the quantity of the quality in the situation (the only situation considered being "x is a member of y").  Pretty clearly, the epsilon function was conceived as a truth generator from the get-go (whatever Zahdi said most recently) and not a direct attempt to deal with quantitative factors in qualitities -- except by correlation again, which is just what happens with truth values, but not with {ni}.