I like the cut of your jib, however: I believe APL actually exposes you to an even higher(est) order of abstraction which makes you truly confront the meat of the problem space/algorithm v.s. allowing for a few sessions of syntax abstraction before you get down to business. Believe me I LOVE lisp, but I also recognize that many times I enjoy it because it allows me to create these amazingly succinct domain specific languages before ever "getting to work". When I attempt to write/think something in APL I find myself actually just pondering the problem. It was the language in which I realized math was my true (and neglected) love.
Thank you for explaining the conceptual framework APL provides. My comment was merely poking a little fun at the kind of comments we sometimes see when people are trying to the tell the virtues of Lisp. I could not say much about APL but did want to find out if it really gives you a new way of thinking.