Abram,

>
> Anyway, perhaps I can try to shed some light on the broader exchange?
> My route has been to understand "A is B" as not P(A|B), but instead
> P("A is X" | "B is X") plus the extensional equivalent... under this
> light, the negative evidence presented by two statements "B is C" and
> "A is not C" reduces the frequency of "A is B", but does not obviously
> have any bearing on "B is A". (Perhaps it does have some indirect
> bearing, for example through some rule of inversion... but of course
> the system is not yet even well-defined, so I'll not speculate.)



The way we deal with intension in PLN is a little different..

We define a fuzzy set A_PAT associated with a term A, and then the degree of
membership of W in A_PAT is of the form

x*y

where

x is a term measuring the simplicity of W relative to A

and

y = [P(W | A) - P(W)]^+

(where []^+ denotes the positive part)

We can then measure

P( A_PAT | B_PAT)

and so forth...

-- Ben



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agi
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