What's the goal of the Feldenkrais Method?

When somebody approaching Feldenkrais for the first time asks me "What is the goal of Feldenkrais?", there are so many things I could say, and none which I think would help.

What is the goal of eating? Feeding yourself, obviously. And yet, there's so much more to it.
What is the goal of running? Is it exercising? Perhaps. Is it enjoyable? I doubt so.
What is the goal of sex? Procreation, no doubt. But do you just think about more humans when making love?
What is the goal of learning mathematics? To know if the cashier is fooling you when giving change. Maybe, but then what happens in a whole university degree in maths?
What is the goal of reading? To be able to fill in forms at the tax agency. And what's all the enjoyment we thus miss?

"Where is the wisdom we have lost in knowledge?" [T.S. Eliot]

Really, where is that wisdom? And where is the pleasure we have lost in goals?

What is the goal of an Awareness Through Movement class, or of a Functional Integration session? Is it to find out how you move, so that you may move differently? To recognize your habits? To find out new ways of moving through small, slow explorations? To improve coordination and mobility? To be present to yourself for an hour?

How would our lives be if we didn't pursue a goal in everything we do? If something makes us feel good, if it enlarges us, does it need to have a purpose? We're not even allowed to do sudokus anymore, without saying that "I do it to unwind". We have all these expectations that push our lives into a rythm of "I go there to achieve that", and we block out all the possibilities that could come to us from directions we didn't anticipate.

How would our lives be if we let ourselves be pulled by pleasure? If we were just here for the experience?