“Basic equality” is the thesis that all (or nearly all) human beings are equal in moral status. Widespread interpersonal differences among humans make the task of justifying basic equality notoriously difficult. One strategy for circumventing this difficulty is to identify some morally significant binary (“all-or-nothing”) property that all humans have. This strategy seems promising: if the basis of equality is binary, then those who have it have it equally. However, skeptics have argued against this strategy on the grounds that a (...) proper defense of basic equality requires that we identify a morally significant property that can vary among humans but does not in fact vary. This paper examines various ways in which this skeptical argument can be motivated and concludes that they all fail. (shrink)