Recently, Clifford Williams has attempted to argue for the plausibility of a Christian form of physicalism. To make his case, Williams appropriates certain claims by John Locke regarding the possibility of thinking matter to argue for what Williams calls the parity theses: (1) God can make matter and nonmatter either to think or not to think. Given God's omnipotence, the justification for (1) is: (2) there is no contradiction in asserting either that matter or nonmatter thinks or that they do not think. If we expand thinking to include other morally and religiously relevant operations of the mind, then we get: (3) God can make either a purely material being or a nonmaterial entity to have moral and religious characteristics. From this, Williams infers that: (4) there is an equal amount of mystery in thinking matter as there is in non-thinking matter. In response to Williams, I argue that his main arguments for the parity theses fail and his Lockean style argument must be judged a failure. To show this I, first, state Williams' Lockean parity argument and, second, criticize the three arguments he offers for its most important premise.