 According to Russellian monism, those arguments might show that structure alone does not fully determine (metaphysically necessitate) the nature or even the existence of consciousness. But it does not follow that physicalism is false. At most, it follows that traditional physicalist theories are false, because those theories limit the physicalist’s resources to the structural. Russellian physicalism, on which the class of physical truths includes not only structural truths but quiddistic truths as well, is not threatened (Stoljar 2001). Further, this anti-structuralist thesis comports well with the claim that consciousness consists at least partly in non-structural quiddities—a claim that is central to Russellian monism generally, not just the physicalist variety  (section 1).