Pearl's book on causality is a nice one, but I don't think that his
idea of causality fully encompasses the (very useful) folk-psychology
notion of causation.

Basically, the crux of Pearl's definition of causality rests on his
distinction between

P(Y|X)

and what he calls

P(Y | do(X) )

This is certainly important, and any AGI system had better be able to
reason separately and effectively about these two sorts of conditional
probabilities.  But it's not all there is to the human notion of
causation...

And, more to the point, I don't think Pearl's (or any other) model of
causality is *necessary* for understanding the various logical puzzles
and paradoxes we've been discussing in this thread, though perhaps it
may provide a useful perspective.

More later,
Ben


On 5/26/06, Eliezer S. Yudkowsky <[EMAIL PROTECTED]> wrote:
Ben Goertzel wrote:
>
> Thanks for the reference.  The paper is entertaining, in that both
> the theories presented (evidential decision theory and causal
> decision theory) are patently very stupid right from the outset ;-)

EDT and CDT have been the two dominant decision theories, with CDT
having the upper hand, for decades.  I agree that both are wrong, but it
is an audacious assertion.  I haven't written up my own mathematical
analysis because it would require on the order of a book to put forth an
alternative theory in academia.  I just did the analysis for myself
because I needed to know if I had to do any special work in setting up
the initial conditions of an FAI.

> EDT's foolishness is more mathematical in nature (via setting up the
> problem mathematically in a way that ignores relevant information)
> whereas CDT's foolishness is more philosophical in nature

EDT and CDT are precisely symmetrical except in how they compute
counterfactual probabilities.

> (essentially, via introducing the folk-psychology notion of
> "causality" which has no role in rigorous formal analyses of events).

Causality a folk-psychology notion?  Judea Pearl begs to disagree with
you, and I beg to agree with Judea Pearl.  My own theory is causal in
nature - that is, it uses Pearl's graphs.

> I really think this stuff is not that complicated; but people seem to
>  be misled in thinking about it via commonplace illusions related to
> "free will" ...

The answer itself is simple.  Justifying it is not.

--
Eliezer S. Yudkowsky                          http://singinst.org/
Research Fellow, Singularity Institute for Artificial Intelligence

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