On Thu, 01 Feb 2007 14:00:06 -0500, Ben Goertzel <[EMAIL PROTECTED]> wrote:

Discussing Cox's work is on-topic for this list...

Okay, I'll get a copy and read it.

Let me tell you one research project that interests me re Cox and subjective probability:

****
Justifying Probability Theory as a Foundation for Cognition.

Cox's axioms and de Finetti's subjective probability approach, developed in the first part of the last century, give mathematical arguments as to why probability theory is the optimal way to reason under conditions of uncertainty.

What are you quoting here, if I may ask? I'm surprised to see Cox mentioned this way in the same sentence with de Finetti, because it's my impression that Cox's views are similar to those of Jaynes, who was a pretty sharp critic of de Finetti.

I was under the impression that Cox, like Jaynes, rejected the extreme subjectivist views of de Finetti in favor of a more objective/logical interpretation. But this is admittedly based only on my very scant knowledge of Cox.

I don't know of any work explicitly addressing this sort of issue, do you?

No, none that address Cox and AI directly, but I suspect one is forthcoming perhaps from you. Yes? :)

The only work I know of that addresses both AI and probability theory is one currently on my reading list by Professor Donald Gillies of King's College, London (not to be confused with some Canadian character named Donald B. Gillies, whose name comes up in a google search). Gillies earned his Phd under your own favorite Lakatos, with a dissertation in probability theory (I think) and wrote a book about AI and the scientific method which I believe also deals with at least tangentially with probability theory. Maybe you've already read it. It was published a while ago and you probably stay on the leading of edge of AI.

Artificial Intelligence and Scientific Method (Paperback)
http://www.amazon.com/Artificial-Intelligence-Scientific-Method-Gillies/dp/0198751591/sr=8-2/qid=1170441700/ref=sr_1_2/103-6974055-7831844?ie=UTF8&s=books

I should mention here that although I am certified with Microsoft as a C++ application developer, I clam no special knowledge of AI programming techniques. I expect this may change soon, however.

-gts




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