Online research in philosophy

Philosophers are very fond of making non-factualist claims—claims to the effect that there is no fact of the matter as to whether something is the case. But can these claims be coherently stated in the context of classical logic? Some care is needed here, we argue, otherwise one ends up denying a tautology or embracing a contradiction. In the end, we think there are only two strategies available to someone who wants to be a non-factualist about something, and remain within the province of classical logic. But one of these strategies is rather controversial, and the other requires substantially more work than is often supposed. Being a non-factualist is no easy business, and it may not be the most philosophically perspicuous way to go.

If everything exists, then it looks, prima facie, as if talking about nothing is equivalent to not talking about anything. However, we appear as talking or thinking about particular nothings, that is, about particular items that are not among the existents. How to explain this phenomenon? One way is to deny that everything exists, and consequently to be ontologically committed to nonexistent “objects”. Another way is to deny that the process of thinking about such nonexistents is a genuine singular thought. The first strategy we may call “the Meinongian tradition” (championed by authors like Alexius Meinong, Ernst Mally, Terence Parsons, Richard Routley, and Ed Zalta), while the second could be dubbed “the de re tradition” (connected to work by Gareth Evans, John McDowell, and Tyler Burge). Finally, the third way to solve the above puzzle, and probably the majority view in contemporary philosophy, is due to Bertrand Russell and W.V.O. Quine, who deny the particularity of the apparent nonexistent object and the singularity of the corresponding thought via the view that any statement about apparently particular nonexistents can be paraphrased into a quantified expression containing no genuinely referring terms. Jody Azzouni’s book is an attempt to argue for and develop a fourth view, based on the hitherto unrecognised notion of an “empty singular thought”, which Azzouni takes to have a place in logical space. Concomitant to developing the view, Azzouni applies it to three typical cases of talk about nonexistents: numbers, hallucinations, and fictions. As the name suggests, empty singular thought is devised as having three essential characteristics: (1) it is genuine thought, no different from any other, (2) it is singular, that is, its content is partly determined by particular non-conceptualised states of affairs, and (3) nevertheless it is genuinely empty, unlike Meinongian thought, that is, its object “does not exist in any sense”, to use Azzouni’s own formulation. Azzouni undertakes some challenging acrobatics when trying to persuade the reader that his view is substantive and it does not end up being the same as any of the previous three views about apparent talk about nonexistents..

According to the familiar Quinean understanding of ontological commitment, (1) one undertakes ontological commitments only via theoretical regimentations, and (2) ontological commitments are to be identified with the domain of a theory’s quantifiers. Jody Azzouni accepts (1), but rejects (2). Azzouni accepts (1) because he believes that no vernacular expression carries ontological commitments. He rejects (2) by locating a theory’s commitments with the extension of an existence predicate. I argue that Azzouni’s two theses undermine each other. If ontological commitments follow from predications of existence, then ontological commitments can be expressed in the vernacular via negative existential sentences.

For Quine, the ontological commitments of a discourse are what fall under its (objectual) quantifiers. The recent literature, however, is beginning to move away from this picture. There are direct challenges to Quine's criterion, and there are also attempts to provide alternatives. Azzouni suggests that the ontological commitments of a discourse should be determined by an existence predicate instead. The availability of this alternative forces an adjudication between Qune's criterion and the predicate approach to ontological commitment. I argue that to adjudicate between these criteria for ontological commitment, we need first to adjudicate between criteria for what exists. My thanks to Jody Azzouni and an anonymous referee for helpful suggestions.

As the title says, this is a book review of Azzouni’s book. I complain that Azzouni proposes an answer to a question, but it is unclear what question he is trying to answer.

Current versions of nominalism in the philosophy of mathematics have the benefit of avoiding commitment to the existence of mathematical objects. But this comes with the cost of not taking mathematical theories literally. Jody Azzouni's Deflating Existential Consequence has recently challenged this conclusion by formulating a nominalist view that lacks this cost. In this paper, we argue that, as it stands, Azzouni's proposal does not yet succeed. It faces a dilemma to the effect that either the view is not nominalist or it fails to take mathematics literally. After presenting the dilemma, we suggest a possible solution for the nominalist.