example, if Jane is a compatibilist and she has just sat down on the sofa, then she is committed to the claim that she could have remained standing, if she had so desired. But it follows from the consequence argument that, if Jane had remained standing, she would have either generated a contradiction, violated the laws of nature or changed the past. Hence, compatibilists are committed to the existence of "incredible abilities", according to Ginet and van Inwagen. One response to this argument is that it equivocates on the notions of abilities and necessities, or that the free will evoked to make any given choice is really an illusion and the choice had been made all along, oblivious to its "decider". David Lewis suggests that compatibilists are only committed to the ability to do something otherwise if different circumstances had actually obtained in the past. Using T, F for "true" and "false" and ? for undecided, there are exactly nine positions regarding determinism/free will that consist of any two of these three possibilities: Incompatibilism may occupy any of the nine positions except (5), (8) or (3), which last corresponds to soft determinism. Position (1) is hard determinism, and position (2) is libertarianism. The position (1) of hard determinism adds to the table the contention that D implies FW is untrue, and the position (2) of libertarianism adds the contention that FW implies D is untrue. Position (9) may be called hard incompatibilism if one interprets ? as meaning both concepts are of dubious value. Compatibilism itself may occupy any of the nine positions, that is, there is no logical contradiction between determinism and free will, and either or both may be true or false in principle. However, the most common meaning attached to compatibilism is that some form of determinism is true and yet we have some form of free will, position (3). Alex Rosenberg makes an extrapolation of physical determinism as inferred on the macroscopic scale by the behaviour of a set of dominoes to neural activity in the brain where; "If the brain is nothing but a complex physical object whose states are as much governed by physical laws as any other physical object, then what goes on in our heads is as fixed and determined by prior events as what goes on when one domino topples another in a long row of them." Physical determinism is currently