You think the brainalizer is cheating? Hmm.

To me, the seeming contradiction between p1 and p2 is an artifact of treating Mary as an atomic, abstract entity rather than a complex physical system - in effect assuming the conclusion. The assumption is that there must be something missing from the information gleaned via the TV, overlooking the fact that in or out of the room the SAME information is being entered in a different format through different channels and thus changing the physical Mary in different ways. We don't need to appeal beyond the physical realm because the details of Mary's physiology are sufficient in themselves.

The brainalizer overcomes this by effectively reducing Mary to the abstract repository of information she is assumed to be in the thought experiment. Lo and behold, there is no longer any obstacle to Mary truly knowing absolutely everything about colour without ever experiencing it.