Unless, of course, those cognitive systems are nothing more than some statistical probabilistic mechanism. I don't know anything about the field, but the article was interesting to me in that it seemed to at least partly argue that. I know, for me at least, I'll frequently produce a sentence and then repeat it to myself a few times to see if it "sounds right." Now, I don't know what is happening to determine that, but perhaps I'm comparing it to some statistical probabilistic model I have in my head?
> Even one statistical anomaly serves to show that statistical learning is NOT the entire picture when it comes to language development.
1) Does it? Maybe it shows the specific statistical probabilistic model in question is wrong. Consider, as Chomsky did, a model which predicts zero probability for a novel sentence. Clearly, as you say, one anomalous novel sentence is all it takes to disprove such a model. But what about other models which can handle them? The "anomaly" may not be an anomaly anymore.
2) Do you have some anomaly in mind which shows statistical probabilistic models don't work?
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The article was very interesting to me, but I don't know anything about the field. I guess my main question boils down to: Is it possible that language acquisition and production is nothing more inside our heads than a simple statistical probabilistic model?