On Feb 8, 2007, at 11:39 AM, gts wrote:
re: "the right order of definition"
De Finetti's (and Ramsey's) main contribution was in showing that
the formal axioms of probability can be derived entirely from
considerations about people betting on their subjective beliefs
under the relatively simple constraint of coherency. No other
rational/logical constraints are needed, which is contrary to the
suppositions of for example Keynes. This was I think a pretty
remarkable discovery!
I'm not yet sure what it means to derive the 'axioms of Novamente'
in the same way, but I think it's pretty cool that Ben is
attempting it. :)
All I did was to define the notion of indefinite probability, used in
Novamente, in terms of betting arrangements.
Novamente has an awful lot of other stuff in it too... !!!
ben
-gts
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