> Beside the problem you mentioned, there are other issues. Let me start
> at the basic ones:
>
> (1) In probability theory, an event E has a constant probability P(E)
> (which can be unknown). Given the assumption of insufficient knowledge
> and resources, in NARS P(A-->B) would change over time, when more and
> more evidence is taken into account. This process cannot be treated as
> conditioning, because, among other things, the system can neither
> explicitly list all evidence as condition, nor update the probability
> of all statements in the system for each piece of new evidence (so as
> to treat all background knowledge as a default condition).
> Consequently, at any moment P(A-->B) and P(B-->C) may be based on
> different, though unspecified, data, so it is invalid to use them in a
> rule to calculate the "probability" of A-->C --- probability theory
> does not allow cross-distribution probability calculation.
>
> (2) For the same reason, in NARS a statement might get different
> "probability" attached, when derived from different evidence.
> Probability theory does not have a general rule to handle
> inconsistency within a probability distribution.



Of course, these issues can be handled in probability theory via introducing
higher-order probabilities ...

ben



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agi
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