The subtraction argument aims to show that there is an empty world, in the sense of a possible world with no concrete objects. The argument has been endorsed by several philosophers. I show that there are currently two versions of the argument around, and that only one of them is valid. I then sketch the main problem for the valid version of the argument.

The subtraction argument aims to show that there is an empty world, in the sense of a possible world with no concrete objects. The argument has been endorsed by several philosophers. I show that there are currently two versions of the argument around, and that only one of them is valid. I then sketch the main problem for the valid version of the argument.

This paper addresses the most fundamental question in metaphysics, Why is there something rather than nothing? The question is framed as a question about concrete entities, Why does a possible world containing concrete entities obtain rather than one containing no concrete entities? Traditional answers are in terms of there necessarily being some concrete entities, and include the possibility of a necessary being. But such answers are threatened by metaphysical nihilism, the thesis that there being nothing concrete is possible, and the (...) subtraction argument for this thesis, an argument that is the subject of considerable recent debate. I summarize and extend the debate about the argument, and answer the threat it poses, turning the tables on it to show how the subtraction argument supports a cosmological argument for a necessary being. (shrink)

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)

Ratio, Volume 35, Issue 1, Page 16-24, March 2022.

In this dissertation I suggest an answer to the famous question ‘why is there something rather than nothing?’ I argue that there is something because there could not have been nothing. The focus of my discussion is the empty possible world of metaphysical nihilism, and the first chapter is a rejection of the only prominent argument for that position; the subtraction argument. In the second part of my discussion I construct a positive argument against metaphysical nihilism, I assume, as is (...) common in the literature, that inconceivability provides evidence of impossibility. I establish the inconceivability of nothingness taking propositional imagining to be the core of conceivability, claiming that we have no experience of nothingness in the relevant sense and are unable to imagine it. Finally, I suggest that a distinction should be made between everyday use of the term ‘nothing’, and the sense under discussion here. The inconceivability of nothingness applies only in the latter case. Given that nothingness is inconceivable, we have prima facie reason to suppose that the empty world is impossible. I conclude that given the failure of the subtraction argument and in light of my argument against metaphysical nihilism, that position should be rejected. (shrink)