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.].

This paper is an investigation of metaphysical nihilism: the view that there could have been no contingent or concrete objects. I begin by showing the connections of the nihilistic theses to other philosophical doctrines. I then go on to look at the arguments for and against metaphysical nihilism in the literature and find both to be flawed. In doing so I will look at the nature of abstract objects, the nature of spacetime and mereological simples, the existence of the empty (...) set, the dependence of universals on particulars, and other general questions of ontology. (shrink)

A property, F, is maximal iff, roughly, large parts of an F are not themselves Fs.' Maximality makes trouble for a recent analysis of intrinsicality by Rae Langton and David Lewis.