I don't think that the concept of "libertarian" free will (which is what is usually meant) stands up to analysis. Provided you are prepared to accept that consciousness is a product of biology, however, compatibilist formulations should stand up perfectly well. And if you don't accept that - at least for the sake of argument - then there really isn't any hope of discussion.
(Libertarian free will asserts that that we make meaningful decisions in a non-deterministic fashion. Compatibilists seek to foormulate free will in a way that is compatible with determinism yet still agrees closely with our intuitive ideas).
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