This thesis is about the nature of value incommensurability and its significance for judicial reasoning. It argues that there can be incommensurable values and that this incommensurability can have significant implications for judicial reasoning. I argue that incommensurability gives rise to a range of reasonableness, within which it is reasonable but in a sense also arbitrary to decide either way, and that this range is wider than is suggested by the notion that some options are roughly equal, because even a large improvement to one option may not make it the uniquely correct option. The thesis goes on to consider the effect that the authority of law can have on choices between incommensurable options. Although I argue that the authority o...