This chapter considers various arguments both for and against taxing inherited wealth, each of these being associated with some or other type of libertarian outlook. Libertarianism in the Lockean guises (‘left’ and ‘right’ varieties) is distinguished from its classical liberal alternative, which downplays the Lockean emphasis on private property rights in favour of a more defeasible case for small government and low taxation. These different perspectives generate a variety of quite different arguments about inheritance, some more persuasive than others. Some attention is paid to the common claim that inheritance taxes ‘punish’ virtue and generosity. It is then argued that a Rignano scheme may be particularly attractive in light of certain left-libertarian commitments and as a way of accommodating a classical liberal concern about perpetual savings.