The study of metaphysical possibility involves two central questions: What are possible worlds? Is there an empty possible world? In looking at the first question we consider the different accounts of possible worlds—Lewisian realism, ersatzism, etc. In looking at the second question we consider the discussions of metaphysical nihilism, the modal ontological arguments, etc. In this paper I am drawing these two questions together in order to show how the position we hold on one of these issues affects the position (...) we should hold on the other. (shrink)

I believe in metaphysical nihilism, the thesis that there could have been no concrete objects, because I believe in a version of the subtraction argument, the subtraction argument*, that proves it. But both Jonathan Lowe (2002) and Alexander Paseau (2002) express doubts about the subtraction argument*. Paseau thinks the argument is invalid, and Lowe argues that invoking concrete* objects is unnecessary. Furthermore Lowe attempts to rebut my objections (Rodriguez-Pereyra 2000) to his anti-nihilist argument (Lowe 1998). In this paper I defend (...) the subtraction argument* from Paseau's and Lowe's criticisms as well as show that the premises of Lowe's anti-nihilist argument are still lacking support. (shrink)

Gonzalo Rodriguez-Pereyra (1997) has refined an argument due to Thomas Baldwin (1996), which claims to prove nihilism, the thesis that there could have been no concrete objects, and which apparently does so without reliance on any heavy-duty metaphysics of modality. This note will show that on either reading of its key premiss, the subtraction argument Rodriguez-Pereyra proposes is invalid. [A sequel to this paper, 'The Subtraction Argument(s)', was published in Dialectica in 2006.].