Wow! I did not mean to stir up such an argument between you two!!

Pei,

What if instead of using "node probability", the knowledge that "wrote
an AGI book" is rare was inserted as a low frequency (high confidence)
truth value on "human" => "wrote an AGI book"? Could NARS use that to
do what Ben wants? More specifically, could it do so with only the
knowledge:

Ben is agi-author <high, high>
guy is agi-author <high, high>
Ben is human <high, high>
guy is human <high, high>
human is agi-author <low, high>

If this was literally all NARS knew, what difference would
adding/removing the last item make to the system's opinion of "guy is
Ben"?

To answer your earlier question, I am still ignoring confidence. It
could always be calculated from the frequencies, of course. But, that
does not justify using them in the calculations the way you do.
Perhaps once I figure out the exact formulas for everything, I will
see if they match up to a particular value of the parameter k. Or,
perhaps, a value of k that moves according to the specific situation.
Hmm... actually... that could be used as a fudge factor to get
everything to "match up"... :)

Also, attached is my latest revision. I have found that NARS deduction
does not quite fit with my definitions. Induction and abduction are OK
so far. If in the end I merely have something "close" to NARS, I will
consider this a success-- it is an interpretation that fits well
enough to show where NARS essentially differs from probability theory.

On Tue, Sep 23, 2008 at 5:54 PM, Pei Wang <[EMAIL PROTECTED]> wrote:
> Yes, I know them, though I don't like any of them that I've seen. I
> wonder Abram can find something better.
>
> To tell you the truth, my whole idea of confidence actually came from
> a probabilistic formula, after my re-interpretation of it.
>
> Pei
>
> On Tue, Sep 23, 2008 at 4:35 PM, Ben Goertzel <[EMAIL PROTECTED]> wrote:
>>
>> Note that formally, the
>>
>> c = n/(n+k)
>>
>> equation also exists in the math of the beta distribution, which is used
>> in Walley's imprecise probability theory and also in PLN's indefinite
>> probabilities...
>>
>> So there seems some hope of making such a correspondence, based on
>> algebraic evidence...
>>
>> ben
>>
>> On Tue, Sep 23, 2008 at 4:29 PM, Pei Wang <[EMAIL PROTECTED]> wrote:
>>>
>>> Abram,
>>>
>>> Can your approach gives the Confidence measurement a probabilistic
>>> interpretation? It is what really differs NARS from the other
>>> approaches.
>>>
>>> Pei
>>>
>>> On Mon, Sep 22, 2008 at 11:22 PM, Abram Demski <[EMAIL PROTECTED]>
>>> wrote:
>>> >>> This example also shows why NARS and PLN are similar on deduction, but
>>> >>> very different in abduction and induction.
>>> >>
>>> >> Yes.  One of my biggest practical complaints with NARS is that the
>>> >> induction
>>> >> and abduction truth value formulas don't make that much sense to me.
>>> >
>>> > Interesting in the context of these statements that my current
>>> > "justification" for NARS probabilistically justifies induction and
>>> > abduction but isn't as clear concerning deduction. (I'm working on
>>> > it...)
>>> >
>>> > --Abram Demski
>>> >
>>> >
>>> > -------------------------------------------
>>> > agi
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>>>
>>> -------------------------------------------
>>> agi
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>>
>>
>>
>> --
>> Ben Goertzel, PhD
>> CEO, Novamente LLC and Biomind LLC
>> Director of Research, SIAI
>> [EMAIL PROTECTED]
>>
>> "Nothing will ever be attempted if all possible objections must be first
>> overcome " - Dr Samuel Johnson
>>
>>
>> ________________________________
>> agi | Archives | Modify Your Subscription
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>
> -------------------------------------------
> agi
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