Nominalism

‘Nominalism’ refers to a family of views about what there is. The objects we are familiar with (e.g. hands, laptops, cookies, and trees) can be characterized as concrete and particular. Nominalists agree that there are such things. But one group of nominalists denies that anything is non-particular and another group denies that anything is non-concrete. These two sorts of nominalism, referred to as ‘nominalism about universals’ and ‘nominalism about abstract objects’, have common motivations in contemporary philosophy

Socrates, Piety, and Nominalism

The argument used by Socrates to refute the thesis that piety is what all the gods love is one of the most well known in the history of philosophy. Yet some fundamental points of interpretation have gone unnoticed. I will show that (i) the strategy of Socrates' argument refutes not only Euthyphro's theory of piety and such neighboring doctrines as cultural relativism and subjectivism, but nominalism in general; moreover, that (ii) the argument needs to assume much less than is generally thought, and finally that (iii) while Socrates' argument, properly understood in its full force, appears to be inconsistent with the goal of his own inquiry, his own 'Platonic' position escapes the inconsistency

Naturalness and Convex Class Nominalism

In this paper I argue that the analysis of natural properties as convex subsets of a metric space in which the distances are degrees of dissimilarity is incompatible with both the definition of degree of dissimilarity as number of natural properties not in common and the definition of degree of dissimilarity as proportion of natural properties not in common, since in combination with either of these definitions it entails that every property is a natural property, which is absurd. I suggest it follows that we should think of the convex class analysis of natural properties as a variety of resemblance nominalism

Craig’s Anti–Platonism, Lowe’s Universals, and Christ’s Penal Substitutionary Atonement

William Lane Craig has defended nominalism as a kind of “anti–Platonism.” To him, Platonism is inimical to God’s aseity. More recently, he also has defended the penal substitution of Christ. However, he has not brought the two subjects into dialogue with each other. In this essay, I will attempt to do that by exploring the implications of two major types of nominalism, austere nominalism and trope theory, for the penal substitution. I will argue that nominalism will undermine the penal substitution of Christ. Instead, to try to preserve both his anti–Platonism and the penal substitution, a better alternative for Craig is to embrace E. J. Lowe’s immanent universals

Sebastian Izquierdo on Universals

The paper deals with the theory of universals of Sebastian Izquierdo, a Spanish Jesuit author working in Rome, as he formulated and defended it in Disputation 17 of his major philosophical work The Lighthouse of Sciences, published in Lyon in 1659. Izquierdo’s discussion centers around three questions: What is universality? Is there some intellect-independent universality? What is the nature of the intellect-dependent universality? Izquierdo’s approach may be seen as a search for the third way between the realism of the Thomists and the Scotists and the nominalism of some Jesuits such as Pedro Hurtado de Mendoza

L'énigme du "vleu" et l'hyper-nominalisme de Goodman

This paper advocates a new reading of Nelson Goodman’s new riddle of induction. According to Ian Hacking, this famous problem conveys a “pure nominalism”, as it grounds Goodman’s denial regarding the existence of natural kinds. While this interpretation is somewhat convincing, it suffers the major flaw of not corresponding to what Goodman himself understood by “nominalism”. Nominalism, in a goodmanian sense, is indeed primarily a technical demand, which stems from the so-called “calculus of individuals”. I argue that this mereological definition of nominalism allows to understand the new riddle of induction afresh. As a result, Goodman’s riddle is “hyper-nominalist”, i.e., nominalist in a distinct and stronger sense than what Hacking suggested

II—Resemblance Nominalism, Conjunctions and Truthmakers

The resemblance nominalist says that the truthmaker of 〈Socrates is white〉 ultimately involves only concrete particulars that resemble each other. Furthermore he also says that Socrates and Plato are the truthmakers of 〈Socrates resembles Plato〉, and Socrates and Aristotle those of 〈Socrates resembles Aristotle〉. But this, combined with a principle about the truthmakers of conjunctions, leads to the apparently implausible conclusion that 〈Socrates resembles Plato and Socrates resembles Aristotle〉 and 〈Socrates resembles Plato and Plato resembles Aristotle〉 have the same truthmakers, namely, Socrates, Plato and Aristotle. I shall argue that the resemblance nominalist can say that those conjunctions have the same truthmakers but these truthmakers make them true in different ways. I shall also use this view to account for the truthmakers of propositions like 〈Socrates is white〉, and respond to previous objections by Cian Dorr and Jessica Wilson

A plea for a modal realist epistemology

David Lewis’s genuine modal realism postulates the existence of concrete possible worlds that are spatio-temporally discontinuous with the concrete world we inhabit. How, then, can we have modal knowledge? How can we know that there are possible worlds and how can we know the characters of those worlds

Syntax without Abstract Objects

In line with the nominalistic denial of the existence of abstract objects, a basic theory of syntax for formal languages is developed and shown to satisfy certain fundamental requirements