The following progress report views language acquisition as primarily the attempt to create processes that connect together in a fruitful way linguistic input and other activity. The representations made of linguistic input are thus those that are optimally effective in mediating such interconnections. An effective Language Acquisition Device should contain mechanisms specific to the task of creating the desired interconnection processes in the linguistic environment in which the language learner finds himself or herself. Analysis of this requirement gives clear indications (...) as to what these mechanisms may be. (shrink)

This paper derives a mathematical expression giving the development of the probability of a scientific hypothesis with the number of confirming tests, as determined by Bayes's theorem, in a special case in which all the tests are "independent" of one another. The simple expression obtained shows clearly how the various factors influence the growth of the probability. The result is used to set a numerical lower bound on the probabilities representing the a priori beliefs of humans in generalizations that become (...) accepted. By making a comparison with the predictions of a "logical atomic" model in the case of physical laws, it is argued that humans have significant a priori "knowledge" in a weak sense. (shrink)