On Mon, Jul 28, 2008 at 11:10 AM, YKY (Yan King Yin) <
[EMAIL PROTECTED]> wrote:

> On 7/28/08, Ben Goertzel <[EMAIL PROTECTED]> wrote:
> >
> > Your inference trajectory assumes that "cybersex" and "STD" are
> probabilistically independent within "sex" but this is not the case.
>
> We only know that:
>   P(sex | cybersex) = high
>   P(STD | sex) = high
>
> If we're also given that
>   P(STD | cybersex) = 0
> then the question is moot -- it is already answered.
>
> It is a problem because we're not given the 3rd piece of information...
>


Yes, if there is no other background knowledge that is relevant, then this
error is unavoidable.

If however indirect background knowledge is available, such as the fact that
"cyber-" often refers to things occurring online, then a reasoning engine
may be able to incorporate this to guess that

P(STD | cybersex)

is small, which will then (if it is a confident conclusion) override the
erroneous independence-assumption-based inference you cite.


>
> > PLN would make this error using the independence-assumption-based term
> logic deduction rule; but in practice this rule is supposed to be overridden
> in cases of known dependencies.
>
>
> Why don't PLN use Pei-Wang-style confidence?


PLN uses confidence values within its truth values, with a different
underlying semantics and math than NARS; but that doesn't help much with the
above problem...

There is a confidence-penalty used in PLN whenever an independence
assumption is invoked, but it's not that severe of a penalty -- and nor
should it be.  When additional evidence is not available, making an
independence assumption is appropriate, even though sometimes it will turn
out to be wrong.

Ben



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agi
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