More Grounds for Grounding Nominalism

Philosophia - In this paper, I examine Peter Schulte’s “Grounding Nominalism” (Schulte, 2018), understood as the claim that first-order properties and relations are grounded in...     

Determinable Nominalism

Philosophical Studies -     

Neologicist Nominalism

The goal is to sketch a nominalist approach to mathematics which just like neologicism employs abstraction principles, but unlike neologicism is not committed to the idea that mathematical objects exist and does not insist that abstraction principles establish the reference of abstract terms. It is well-known that neologicism runs into certain philosophical problems and faces the technical difficulty of finding appropriate acceptability criteria for abstraction principles. I will argue that a modal and iterative nominalist approach to abstraction principles circumvents those difficulties while still being able to put abstraction principles to a foundational use.     

Mereological Nominalism

Mereological nominalism is the thesis that properties are identical to fusions of their instances. Long ignored, this paper argues that it's a plausible ontology of properties. Whilst not everyone will accept it, it's going to appeal to many philosophers and (at the least) should no longer be relegated to the annals of the history of metaphysics.¹     

Nominalism and Idealism

The article considers, in a historical setting, the links between varieties of nominalism—the extreme nominalism of the Quine-Goodman variety and the trope nominalism current today—and types of idealism. In so doing arguments of various twentieth century figures, including Husserl, Bradley, Russell, and Sartre, as well as a contemporary attack on relations by Peter Simons are critically examined. The paper seeks to link the rejection of realism about universals with the rejection of a mind-independent “world”—in short, linking nominalism with idealism.     

The Trouble with Nominalism

Philosophical Studies -     

Non‐factualism Versus Nominalism

The platonism/nominalism debate in the philosophy of mathematics concerns the question whether numbers and other mathematical objects exist. Platonists believe the answer to be in the positive, nominalists in the negative. According to non‐factualists (about mathematical objects), the question is ‘moot’, in the sense that it lacks a correct answer. Elaborating on ideas from Stephen Yablo, this article articulates a non‐factualist position in the philosophy of mathematics and shows how the case for non‐factualism entails that standard arguments for rival positions fail. In particular, showing how and why non‐factualists reject nominalism illuminates the originality and interest of their position.     

Fictional Possibilities Grounded in Foundational Nominalism

Philosophia - David Armstrong in his A Combinatorial Theory of Possibility proposes that non-actual possibilities may be treated as fictions grounded in instantiated universals. In this paper, I...     

Charity and Error‐Theoretic Nominalism

I here investigate whether there is any version of the principle of charity both strong enough to conflict with an error‐theoretic version of nominalism about abstract objects (EN), and supported by the considerations adduced in favour of interpretive charity in the literature. I argue that in order to be strong enough, the principle, which I call “(Charity)”, would have to read, “For all expressions e, an acceptable interpretation must make true a sufficiently high ratio of accepted sentences containing e”. I next consider arguments based on (i) Davidson's intuitive cases for interpretive charity, (ii) the reliability of perceptual beliefs, and (iii) the reliability of “non‐abstractive inference modes”, and conclude that none support (Charity). I then propose a diagnosis of the view that there must be some universal principle of charity ruling out (EN). Finally, I present a reason to think (Charity) is false, namely, that it seems to exclude the possibility of such disagreements as that between nominalists and realists.     

A Common Sense Defence of Ostrich Nominalism

Philosophia - When the meta-philosophies of Nominalism and Realism are compared, it is often said that Nominalism is motivated by a methodology of ontological economy, while Realism would be...