 Many attempts to characterize impartiality fail to respect the distinction between the broadest, most formalistic sense of the notion, and a more specifically moral impartiality. To say, for instance, that an impartial choice is one that is free of bias or prejudice is to presuppose that we are dealing with a certain sort of impartiality, that which is required or recommended by morality, or at least worthy of moral approbation. ‘Bias’ and ‘prejudice’ are loaded terms, suggesting not only that some consideration is being excluded, but also that the exclusion is appropriate and warranted. Similarly, the idea that impartiality requires that we give equal and/or adequate consideration to the interests of all concerned parties goes well beyond the requirements of the merely formal notion. (In the coin toss case, it is quite clear that Phil’s claims to the heirloom are not being given equal or adequate consideration.) As a characterization of moral impartiality, however, this suggestion is perhaps more promising, at least in some contexts.