When faced with uncertainty, consequentialists often advocate choosing the option with the largest expected utility, as calculated using the arithmetic average. I provide some arguments to suggest that instead, one should consider choosing the option with the largest geometric average of utility. I explore the difference between these two approaches in a variety of ethical dilemmas and argue that geometric averaging has some appealing properties as a normative decision-making tool.

Although the commentary on Aristotle’s problematic discussion of slavery is vast, his discussion of nobility receives little attention. The fragments of his dialogue On Noble Birth constitute his most extensive examination of nobility, and while their similarity to the παμβασιλεύς of the Politics has recently been recognized, their relevance to natural slavery has hitherto gone unnoticed. Yet by declaring that true nobles – particularly the god-like ἀρχηγός – preternaturally possess superhuman characteristics, Aristotle precludes their easy inclusion in the kind “human” (...) in a manner inversely mirroring the preternatural subhumanity of natural slaves. Building on recent scholarship which argues that Aristotle’s “defense” of natural slaves is better understood as an indictment, On Noble Birth becomes most coherent if read as a hypothetical investigation into what would be required for “nobility” to name something true rather than equivocal, with the conclusion that “true nobility” is an empty set. (shrink)