 Over the first decade of the twenty-first century, nonreductive physicalism retained its status as the most popular position in Anglo-American philosophy of mind. Its proponents continued to appeal to the standard multiple realizability arguments (see  §1  above) to challenge all versions of psychophysical reductionism and identity theory. However, the challenges to multiple realizability and the arguments using it, scouted in  section 2  above, began to attract wider notice. New versions of type-identity theory and reductive physicalism began to be formulated more widely (Gozzano and Hill, 2012). The nonidentity of mental content properties with any physical properties no longer seemed to be the “practically received wisdom”, as Ernest LePore and Barry Loewer (1989) called it thirty years ago, although it has clearly remained an entrenched view.