I found Gilbert's discussion of Laplace's demon applied to neuroscience to be very interesting. As he says, it would be silly to believe that everything in the universe was predictable, EXCEPT for the brains of a few apes on one planet. If physics can in fact be calculated from a starting state, the universe has to be pre-determined as Prof. Goodman and Prof. Gilbert discuss (at 38:35).
However, Gilbert goes on to explain that uncertainty saves the day and "preserves free will", as it's not actually possible to "predict [the state of the universe] at moment X+1 because there's inherent uncertainty". While this is true, these uncertainties occur at the quantum scale, and it has not yet been shown that they meaningfully influence the behavior of nerve cells, which are 10^10 times larger. But even if this was the case, the brain is (probably) a chaotic system, meaning it might still be possible to argue for free will even if uncertainty had no meaningful impact. I'd love to have asked Gilbert whether he thought quantum uncertainty played a major role in brain functions, and whether his answer to that question dictated his answer to the larger question of free will.