What's the advantage of using array programming versus using list/array types in other languages? Nothing I saw in this article seems particularly unique to J except the syntax.
You can compare it to regular expressions for manipulating text.
I don't know if it's academia or what - but if I spent the effort on creating a whole programming language that I believed was actually good - I'd have a very different front page.
As for J, it was released by a startup, J Software, founded by Kenneth Iverson and Roger Hui in 1990 for that purpose. It was later open sourced in 2011.