Does Science Debunk Free Will?

Jerry Coyne thinks so (follow-up here). Jean Kasez sighs:

Coyne says science will not allow [free will], since our choices take place in our brains, and our brains are part of the completely law-governed material world.  But this simple overview of what we know subtlely exaggerates what we know. OK, choices do take place in our brains, and not without brains, but it's not as if consciousness has been fully explained and reduced to a specific physical property of brains. Consciousness is a huge unsolved puzzle. Since free choices are conscious choices, it would seem premature to say you were absolutely sure how they work.