I have spent a lot of time thinking about the distinction between arguments and adjuncts. Failing to find a satisfying explanation in formal syntax, I am opening my mind to psycholinguistics. The question might reduce to the bigger question is: what is the psychological basis of the correct/incorrect distinction? When you read an incorrect sentence, you get a certain feeling, right? What is that feeling exactly? Is it similar to the disgust we feel towards rotting food? More likely, it is the same as the feeling we have towards someone that is not part of our social group. What do you think?
I found this paper which explores the issue, but is too technical for me.