I just want to point out (or argue, since even this is contentious) that there's a three-fold alternative: determined, random, and free. The "free will" in this

I just want to point out (or argue, since even this is contentious) that there's a three-fold alternative: determined, random, and free. The "free will" in this paper is actually the second and not the third alternative. My issue is that I understand determined, and random, but I don't understand 'free'. If you read the article you just linked to, they point out that in the case of this experiment, 'random' is equivalent to 'free', as the free-will human experimenters can be replaced by a computer program with a truly random number generator, but that the non-determinacy necessary for the random number generator to work is the same exact freedom necessary for a human experiment to have 'free' choice over the experiment. Furthermore, that the entangled nature of the particles precludes the type of 'randomness involved in entanglement' that you suggest. Entanglement is specifically non-random in exactly the quality at issue in this experiment. Basically the result of the theorem (as relevant to this conversation) is that 'random' and 'free' are equivalent. There is simply determinate or non-determinate.