Robert Wensman writes:
> Has there been any work done previously in statistical, example driven 
> deduction? 
 
Yes.  In this AGI community, Pei Wang's NARS system is exactly that:
 
http://nars.wang.googlepages.com/
 
Also, Ben Goertzel (et. al.) is building a system called Novamente 
(www.novamente.net) that has a Bayesian system of "Probabilistic Logic 
Networks" as its major representational scheme.
 
 

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