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. (shrink)

The object of this paper is to provide a solution to Nelson Goodman’s Imperfect Community difficulty as it arises for Resemblance Nominalism, the view that properties are classes of resembling particulars. The Imperfect Community difficulty consists in that every two members of a class resembling each other is not sufficient for it to be a class such that there is some property common to all their members, even if ‘x resembles y’ is understood as ‘x and y (...) share some property’. In the paper I explain and criticise several solutions to the difficulty. Then I develop my own solution, which is not subject to the objections I make to the other solutions, and which accords completely with the basic tenets of Resemblance Nominalism. (shrink)

Nominalists are confronted with a grave difficulty: if abstract objects do not exist, what explains the success of theories that invoke them? In this paper, I make headway on this problem. I develop a formal language in which certain platonistic claims about properties and certain nominalistic claims can be expressed, develop a formal language in which only certain nominalistic claims can be expressed, describe a function mapping sentences of the first language to sentences of the second language, and prove some (...) facts about that function and facts about some sound logics for those languages. In doing so, I prove that, given some plausible metaphysical assumptions, a large class of sentences about properties of concrete objects are “safe” on nominalistic grounds. Whenever some true sentences about concrete objects and some sentences belonging to this class that are true according to platonists collectively entail a conclusion about concrete objects, some nominalistically acceptable sentences are true and entail the same conclusion. Because the proof can itself be formulated without abstract objects, it provides a nominalistic explanation of the success of theories that invoke properties of concrete objects. (shrink)

Certain commentators on Russell's “no class” theory, in which apparent reference to classes or sets is eliminated using higher-order quantification, including W. V. Quine and (recently) Scott Soames, have doubted its success, noting the obscurity of Russell’s understanding of so-called “propositional functions”. These critics allege that realist readings of propositional functions fail to avoid commitment to classes or sets (or something equally problematic), and that nominalist readings fail to meet the demands placed on classes by mathematics. I show that (...) Russell did thoroughly explore these issues, and had good reasons for rejecting accounts of propositional functions as extra-linguistic entities. I argue in favor of a reading taking propositional functions to be nothing over and above open formulas which addresses many such worries, and in particular, does not interpret Russell as reducing classes to language. (shrink)

David Lewis is typically interpreted as a class nominalist. One consequence of class nominalism, which he embraced, is that the reduction of ordered pairs, triples, etc to unordered sets of sets is conventional. The reaction by his Australian counterparts D.M. Armstrong and Peter Forrest was that Lewis was not being ontologically serious. This chapter evaluates this debate over serious ontology. It is argued that in one sense Lewis is ontologically serious, but that his additional commitment to structuralism (...) about classes should push him to adopt a trope-theoretic account of naturalness, which opens up another way to respond to the charge of not doing serious ontology. This conclusion is supported by certain remarks he makes in his correspondence, thus revealing how his thinking about properties appears to have evolved from property-egalitarianism to a sparse theory of tropes. (shrink)

I argue in this dissertation that natural properties play a central role in David Lewis' modal realism. To argue in favor of this thesis I present: a bottom-up explanation of a top-down possible world metaphysics; a new definition of natural properties and natural fusion, a new mereological operation. To achieve these aims, in the first chapter, I contextualize the discussion, in the second I resume the discussion about universals in contemporary philosophy and argue that, considering the distinct formulations of the (...) problem, class nominalism combined with modal realism might be the best solution. Furthermore, I discuss Devitt's solution in which he defends that the problem about universals is, in fact, a pseudo problem. In the third chapter, I introduce a minimal ontology of properties, regarding natural properties, I discuss the existing definitions, present a new one and discuss some theories of similarity, a notion that is in the core of the definition I propose. Besides, I present how natural properties benefit the definition of terms of nomological package, linked to its fundamentality role. I also present some applications related to the rationality role that encompass some well-known philosophical problems of the second half of 20th century. In the fourth chapter, I present some varieties of philosophical realism, I consider the theoretical advantages of taking scientific realism as background and I discuss one more utility of natural properties, the solution to the problem of eligibility of reference or, the Putnam's paradox. In the fifth chapter, I discuss how mereology is important to link several aspects of Lewis' modal realism. For such, I discuss the relation between composition as identity and ontological innocence of mereology and I present the natural fusion mereology, a new mereological operation that aims to minimize the problems of unrestricted composition. (shrink)

Tropes is a systematic investigation into the metaphysics of properties, aiming to motivate and defend trope theory, and more specifically Natural Class Trope Nominalism (NCTN). Ehring’s book treats an impressive span of relevant positions, considerations, debates and objections with charity and clarity; it’s also a real page-turner, at least if one has (as I do) a taste for analytic twists and turns.

Este ensaio consiste num exame crítico da estrutura e do valor de um conjunto diverso de argumentos por regressão ao infinito que têm sido objecto de discussão recorrente na metafísica contemporânea. O seminal livro de David Armstrong Nominalism and Realism (Armstrong 1978) contém uma das mais compreensivas discussões de argumentos regressivos em metafísica, os quais variam entre argumentos que foram de facto avançados ao longo da história da disciplina (como o Argumento do Terceiro Homem, de Platão) e argumentos construídos (...) de novo por Armstrong para fins de exame crítico. Os argumentos regressivos discutidos por Armstrong têm como alvo uma grande variedade de teorias metafísicas acerca da semelhança e da predicação, entre as quais se contam o nominalismo de predicados, o nominalismo de conceitos, o nominalismo de classes, o nominalismo de semelhança e o realismo metafísico. (shrink)

By logical foundations of language syntax ontology we understand here the construction of formalized linguistic theories based on widely conceived mathematical logic and dependent on two trends in language ontology. The formalization includes exclusively the syntactic aspect of logical analysis of language characterized categorially according to Ajdukiewicz's approach [1935, 1960]. Any categorial language L is characterized formally on two levels: on one of them it concerns the language of expression-tokens, on the other one - that of expression-types. Accepting the view (...) that expression-concretes, that is expression-tokens - thus, physical objects are fundamental language layer, whereas the secondary layer for L are expression-abstracts, that is expression-types - thus, ideal objects, it is the nominalistic, concretistic philosophical view on the ontological nature of language entities that is adhered to. Supporting the view that expression-types are the basic language layer, while expression-concretes are the secondary one, we take the opposite standpoint - platonizing one. We prove that the two dual approaches towards the two-level syntax theory of language are logically eqivalent. In the scope of language syntax, both conceptions deriving from two different existential assumption are equivalent. This statement is philosophical significance, since it proves that in syntactical studies on language the assumption of the existence of abstract language beings (interpreted as classes equiform tokens) can be neglected. The idea was signalized by author in ealier paper "On the type-token relationships'' [1986) and than, in a slighly diffrent form in English "On the eliminatibility of ideal linguistic entities, Studia Logica 48,no 4 (1989), pp. 587-615. (shrink)

What is the proper metaphysics of quantum mechanics? In this dissertation, I approach the question from three different but related angles. First, I suggest that the quantum state can be understood intrinsically as relations holding among regions in ordinary space-time, from which we can recover the wave function uniquely up to an equivalence class (by representation and uniqueness theorems). The intrinsic account eliminates certain conventional elements (e.g. overall phase) in the representation of the quantum state. It also dispenses with (...) first-order quantification over mathematical objects, which goes some way towards making the quantum world safe for a nominalistic metaphysics suggested in Field (1980, 2016). Second, I argue that the fundamental space of the quantum world is the low-dimensional physical space and not the high-dimensional space isomorphic to the ``configuration space.'' My arguments are based on considerations about dynamics, empirical adequacy, and symmetries of the quantum mechanics. Third, I show that, when we consider quantum mechanics in a time-asymmetric universe (with a large entropy gradient), we obtain new theoretical and conceptual possibilities. In such a model, we can use the low-entropy boundary condition known as the Past Hypothesis (Albert, 2000) to pin down a natural initial quantum state of the universe. However, the universal quantum state is not a pure state but a mixed state, represented by a density matrix that is the normalized projection onto the Past Hypothesis subspace. This particular choice has interesting consequences for Humean supervenience, statistical mechanical probabilities, and theoretical unity. (shrink)

This paper explores connections between theories of morality and theories of properties. It argues that (1) moral realism is in tension with predicate, class and mereological nominalism; (2) moral non-naturalism is incompatible with standard versions of resemblance nominalism, immanent realism and trope theory; and (3) the standard semantic arguments for property realism do not support moral realism. I also raise doubts about trope-theoretic explanations of moral supervenience and argue against one version of the principle that we should (...) accept theories that maintain neutrality. (shrink)

In this paper I explore a position on which it is possible to eliminate the need for postulating abstract objects through abstraction principles by treating terms for abstracta as ‘incomplete symbols’, using Russell's no-classes theory as a template from which to generalize. I defend views of this stripe against objections, most notably Richard Heck's charge that syntactic forms of nominalism cannot correctly deal with non-first-orderizable quantifcation over apparent abstracta. I further discuss how number theory may be developed in a (...) system treating apparent terms for numbers using these definitions. (shrink)

Essa comunicação possui dois objetivos. Em primeiro lugar, pretendo esboçar as diferentes alternativas teóricas contemporâneas que procuram responder ao conhecido “ problema dos universais”. Para isso, apresentamos os nominalismos de predicados, classes, semelhanças e a teoria de tropos. Em segundo lugar, pretendo mostrar, inspirado no trabalho de David Lewis, como o nominalismo de classes, a noção de propriedade natural e uma teoria de mundos possíveis prometem resolver o problema em questão.

Smith proposes an account of how languages developed. He did so not as historian, but as a philosopher with a special concern about how a nominalist could account for general terms. Names for individuals are taken as fairly unproblematic – say ‘Thames’ and ‘Avon’ for each of the respective rivers. But whence the word ‘river,’ applicable to more than one, if all that exist are particular objects? Smith’s view is not the usual one, according to which people deploy a powerful (...) ability to abstract mentally, and subsequently affix a label to a general concept. He resisted this because he granted that such robust mental processes themselves presuppose the use of words. Rather, what holds the class together is the word itself, a “single appellation.”. (shrink)

The concern of this paper is a version of Resemblance Nominalism according to which resemblance classes, i.e. classes of resembling things, are determined by paradigms. I show that the theory is false, since paradigms do not generally determine resemblance classes. Although I concentrate upon the version of the theory which was delineated by H. H. Price, my results apply to any other theory constructing resemblance classes out of paradigms.

Inhalt: Vorbemerkung Kommentar Titel Vorrede Erster Teil Zweiter Teil Dritter Teil Benutzte Literatur a)Zeitgenossen und Vorläufer Fichtes b)Moderne Interpreten Sachregister zum Fichte-Text Verzeichnis der zitierten Arbeiten Fichtes.

The present "philological commentary" is directed at those who have decided to take time for reading the original text, at least in an English translation. The first volume "Textual Criticism" is intended to meet the difficulties caused by the fact that our text editions are based on manuscripts separated from the original by more than a millennium.

With the third volume, it is invited to enter the intellectual environment of Aristotle. The most relevant sources are given in full (with English translation), so that the commentary is also a reader documenting the disputationes metaphysicae of the 4th century BC. For the undeniable contradictions in the Metaphysics, a new genetic explanation is offered.

Though since Werner Jaeger's famous Studien zur Entstehungsgeschichte der Metaphysik des Aristoteles of 1912 remarkable observations were made, the topic "Composition of the Metaphysics" almost disappeared from the agenda. As, however, neglect of this philological task results in either selective reading or anachronistic systematization, the author has resumed it, extending it to the internal structure of the singular books.

The question of the relationship between ontology and theology, the main problem of the interpretation in volume 3, is also the guiding question of our last volume. The history of metaphysics is a history of the efforts towards an outlook on the world and life, which are about the meaning and connection of fundamental concepts: being, life, intellect, unity, truth, goodness. From these, the concept of divinity is derived. As in the previous volumes, a rich material of original texts and (...) interpretations is spread out. (shrink)

Der vorliegende "philologische" Kommentar beansprucht Kants Critik der reinen Vernunft aus ihren historischen Voraussetzungen zu erklären. Zu diesen gehört an erster Stelle Kants Sprache; sie ist nicht mehr die unsere, was den unvorbereiteten Leser von heute schon an der Semantik und Syntax vieler Sätze scheitern lässt. Neben einer Fülle von sprachlichen Erläuterungen und textkritischen Untersuchungen bringt der Kommentar reichliche Zitate aus den von Kant benutzten Logik- und Metaphysik-Lehrbüchern, die seine Rezeption der "dogmatischen" Philosophie Christian Wolffs und seiner Nachfolger belegen; lateinische (...) Texte werden dabei sowohl im Original als auch in deutscher Übersetzung geboten. Einzelne Motive werden ideengeschichtlich bis in die Antike zurückverfolgt; hieraus eröffnen sich Perspektiven für eine "Metakritik" von einem "vorkritischen" Standpunkt aus, die im Rahmen eines philologischen Kommentars nur angedeutet werden können. (shrink)

The global water crisis is being exacerbated by climate change, even in the United States. Recycled water is a feasible alternative to alleviate the water shortage, but it is constrained by humans’ perceptions. The current study examines how residents’ water scarcity awareness and climate change belief influence their willingness to use recycled water directly and indirectly. Bayesian Mindsponge Framework (BMF) analytics was employed on a dataset of 1831 residents in Albuquerque, New Mexico, an arid inland region in the US. We (...) discovered that residents’ willingness to use direct recycled potable water is positively affected by their awareness of water scarcity, but only if they believe in the impacts of climate change on the water cycle. Meanwhile, the willingness to use indirect recycled potable water is influenced by water scarcity awareness, and the belief in climate change further enhances this effect. These findings implicate that fighting climate change denialism and informing the public of the water scarcity situation in the region can contribute to the effectiveness and sustainability of long-term water conservation and climate change alleviation efforts. (shrink)

Gardeners, poets, lovers, and philosophers are all interested in the redness of roses; but only philosophers wonder how it is that two different roses can share the same property. Are red things red because they resemble each other? Or do they resemble each other because they are red? Since the 1970s philosophers have tended to favour the latter view, and held that a satisfactory account of properties must involve the postulation of either universals or tropes. But Gonzalo Rodriguez-Pereyra revives the (...) dormant alternative theory of resemblance nominalism, showing first that it can withstand the attacks of such eminent opponents as Goodman and Armstrong, and then that there are reasons to prefer it to its rival theories. The clarity and rigour of his arguments will challenge metaphysicians to rethink their views on properties. (shrink)

Ian Hacking’s wide-ranging and penetrating analysis of science contains two well-developed lines of thought. The first emphasizes the contingent history of our inquiries into nature, focusing on the various ways in which our concepts and styles of reasoning evolve through time, how their current application is constrained by the conditions under which they arose, and how they might have evolved differently. The second is the mistrust of the idea that the world contains mind-independent natural kinds, preferring nominalism to ‘inherent (...) structurism’. These two pillars of thought seem at first to be mutually reinforcing: the lack of natural structure can help make sense of scientific variability and revision, while variability and revision provide reason to suspect that natural structure is little more than idealization. In what follows, I argue that these two pillars not only fail to support each other, but in fact conflict. One of them must fall, and it is clear which. (shrink)

Being able to apply grue-like predicates would allow one to instantly solve an infinite number of mysteries (historical, scientific, etc.). In this paper I’ll give a couple of examples. It is still a mystery whether George Mallory and Andrew Irvine managed to reach the summit of Mount Everest in 1924. The predicate “greverest” applies to an object if either the object is green and Mount Everest was scaled in 1924, or the object is not green and Mount Everest was not (...) scaled in 1924. The predicate “greverest” is interdefinable with the predicate “green”: the predicate "green" applies to an object if either the object is greverest and Mount Everest was scaled in 1924, or the object is not greverest and Mount Everest was not scaled in 1924. The predicate "non-greverest" applies to an object if either the object is non-green and Mount Everest was scaled in 1924, or the object is green and Mount Everest was not scaled in 1924. The predicate "non-green" applies to an object if either the object is non-greverest and Mount Everest was scaled in 1924, or the object is greverest and Mount Everest was not scaled in 1924. We know that the famous diamond called Golden Jubilee is not green. If someone (a greverest-speaker) informed us that the Golden Jubilee diamond is greverest, we would automatically come to know Mount Everest was not scaled in 1924. According to the definitions, a greverest object can only be either 1) green (in case Mount Everest was scaled in 1924), or 2) non-green (in case Mount Everest was not scaled in 1924). Since we know that the Golden Jubilee diamond is not green, if we come to know that the Golden Jubilee diamond is also greverest, we would automatically know from the definition of “greverest” that we are faced with case 2, the case in which the object is both non-green and greverest, and Mount Everest was not scaled in 1924. Vice versa, if someone informed us that the Golden Jubilee diamond is not greverest, we would automatically come to know that Mount Everest was scaled in 1924. According to the definitions, a non-greverest object can only be either 1) non-green (in case Mount Everest was scaled in 1924), or 2) green (in the case Mount Everest was not scaled in 1924). Since we know that the Golden Jubilee diamond is not green, if we come to know that the Golden Jubilee diamond is also non-greverest, we would automatically know from the definition of “non-greverest” that we are faced with case 1, the case in which the object is both non-green and non-greverest, and Mount Everest was scaled in 1924. At the moment no one has yet been able to convince the scientific community that he can correctly determine whether the Golden Jubilee diamond is greverest. I am skeptical that anyone will demonstrate to the scientific community that he can correctly determine whether a specific object is greverest; but I would be happy if someone could demonstrate to the scientific community that he can correctly determine whether an object is greverest: that would be a good news for historical studies. The paper continues with a second example. (shrink)

Bertrand Russell argued that any attempt to get rid of universals in favor of resemblances fails. He argued that no resemblance theory could avoid postulating a universal of resemblance without falling prey to a vicious infinite regress. He added that admitting such a universal of resemblance made it pointless to avoid other universals. In this paper I defend resemblance nominalism from both of Russell's points by arguing that (a) resemblance nominalism can avoid the postulation of a universal of (...) resemblance without falling into a vicious infinite regress, and (b) even if resemblance nominalism had to admit a universal of resemblance, this would not make it pointless to avoid postulating other universals. (shrink)

In my book *Resemblance Nominalism* I argued that the truthmakers of ´a and b resemble each other´ are just a and b. In his "Resemblance Nominalism and counterparts" Alexander Bird objects to my claim that the truthmakers of ´a and b resemble each other´ are just a and b. In this paper I respond to Bird´s objections.

The paper focuses on Nominalism in history, its application, and its historiographical implications. By engaging with recent scholarship as well as classic works, a survey of Nominalism’s role in the discipline of history is made; such examination is timely, since it has been done but scantily in a purely historical context. In the light of recent theoretical works, which often display aporias over the nature and method of historical enquiry, the paper offers new considerations on historical theory, which (...) in the author’s view may solve some of the contradictions that have surfaced in recent times. The Nominalistic stance is argued against by disputing theorists such as Paul Veyne, who has made a case for Nominalism in history. A brief philosophical section introduces Nominalism in its metaphysical dimension and the discussion is speedily brought to its significance for history. The paper also proposes a solution to the misconstrued yet too often vague application of scientism in history, and offers theoretical grounds that might solve some of the ‘stormy grounds’ historiography finds itself today. Articles by Marcel Gauchet and History and Theory’s Anton Froeyman and Bert Leuridan are engaged with, as well as Murray Murphy’s books on the philosophy of history. Works by Georg Gadamer, Marc Bloch, Benedetto Croce, Hyppolite Taine, and Anthony Grafton crucially inform the discussion and brace the consequential conclusion. (shrink)

‘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.

Dispositional Essentialism, as commonly conceived, consists in the claims that at least some of the fundamental properties essentially confer certain causal-nomological roles on their bearers, and that these properties give rise to the natural modalities. As such, the view is generally taken to be committed to a realist conception of properties as either universals or tropes, and to be thus incompatible with nominalism as understood in the strict sense. Pace this common assumption of the ontological import of Dispositional Essentialism, (...) the aim of this paper is to explore a nominalist version of the view, Austere Nominalist Dispositional Essentialism. The core features of the proposed account are that it eschews all kinds of properties, takes certain predicative truths as fundamental, and employs the so-called generic notion of essence. As I will argue, the account is significantly closer to the core idea behind Dispositional Essentialism than the only nominalist account in the vicinity of Dispositional Essentialism that has been offered so far—Ann Whittle’s Causal Nominalism—and is immune to crucial problems that affect this view. (shrink)

Alfred Tarski was a nominalist. But he published almost nothing on his nominalist views, and until recently the only sources scholars had for studying Tarski’s nominalism were conversational reports from his friends and colleagues. However, a recently-discovered archival resource provides the most detailed information yet about Tarski’s nominalism. Tarski spent the academic year 1940-41 at Harvard, along with many of the leading lights of scientific philosophy: Carnap, Quine, Hempel, Goodman, and (for the fall semester) Russell. This group met (...) frequently to discuss logical and philosophical topics of shared interest. At these meetings, Carnap took dictation notes, which are now stored in the Archives of Scientific Philosophy. Interestingly, and somewhat surprisingly, the plurality of notes covers a proposal Tarski presents for a nominalist language of unified science. This chapter addresses the following questions about this project. What, precisely, is Tarski’s nominalist position? What rationales are given for Tarski’s nominalist stance—and are these rationales defensible? Finally, how is Tarskian nominalism of 1941 related to current nominalist projects? (shrink)

ABSTRACT: Sellars formulated his thesis of 'psychological nominalism' in two very different ways: (1) most famously as the thesis that 'all awareness of sorts…is a linguistic affair', but also (2) as a certain thesis about the 'psychology of the higher processes'. The latter thesis denies the standard view that relations to abstract entities are required in order to explain human thought and intentionality, and asserts to the contrary that all such mental phenomena can in principle ‘be accounted for causally' (...) without any use of normative terms in the explanation. Recent 'Hegelian Sellarsians' such as Rorty, McDowell, and Brandom have argued that the holistic, normative themes in (1) support various non-realist or rather (German) 'idealist but common-sense realist' outlooks. By contrast, Sellars' own defenses of (2) reveal psychological nominalism itself to be a naturalistic empiricism intended to sustain the normative-holistic themes in (1) within an exhaustively scientific naturalist conception of reality. (shrink)

In this dissertation I consider the merits of certain nominalist accounts of phenomena related to the character of ordinary objects. What these accounts have in common is the fact that none of them is an error theory about standard cases of predication and none of them deploys God or uniquely theistic resources in its explanatory framework. -/- The aim of the dissertation is to answer the following questions: -/- • What is the best nominalist account on offer? • How might (...) it be improved? • Does it ultimately succeed? -/- I will argue that while so-called trope theory is the best account on offer, it can be significantly improved—or replaced—by a novel version of nominalism that is modeled after trope theory. Ultimately, however, I will argue that even the novel version fails. -/- The dissertation unfolds as follows. In Chapter 1, I introduce Austere Nominalism (AN), which is perhaps the most extreme version of nominalism that falls within the scope of the dissertation. AN is often described as the view that there exist only concrete particulars. According to AN, it is unnecessary to posit any entities other than ordinary objects—turkeys, tables, and the like—in order to account for explananda related to the character of those objects. (Such explananda include the phenomenon of attribute agreement, of attribute possession, of true subject-predicate sentences, etc.) In this chapter I argue that AN fails to provide an adequate account of these explananda. In addition, introducing and criticizing AN serves an important heuristic role for the rest of the dissertation. To understand this role, we must distinguish between the basic explanatory strategy deployed by the austere nominalist and the type of explananda for which she deploys that strategy. The austere nominalist deploys the strategy to account for the character of ordinary objects. As I argue in Chapter 1, this deployment is a failure. As I go on to show in Chapter 2, the widespread rejection AN has led to a variety of rival accounts of the character of ordinary objects. In rejecting AN, however, these accounts also tacitly reject its basic explanatory strategy. Thus goes the baby with the bathwater, since, arguably, there are some attractive features of AN’s basic explanatory strategy. Indeed, those who defend the most prominent version of nominalism—trope theory—seem to overlook the advantages of AN’s basic strategy, and by so doing, make an unnecessary concession to the realist. Or so I argue in Chapter 3. And, as I will argue in Chapter 4, the strongest version of nominalism is a novel account, modeled after trope theory, that deploys AN’s basic strategy at a more fundamental level than that of ordinary objects. This novel account—troper theory—is closer in spirit to AN than is traditional trope theory. (Thus, AN serves as a foil for the discussion of other nominalist views.) Finally, in the Afterword I indicate how troper theory is equally vulnerable to some of the traditional objections that plague trope theory. Thus, if you are not convinced that traditional objections to trope theory are conclusive and you want to be a nominalist, then you should abandon trope theory and adopt troper theory. If you take traditional objections against trope theory to have significant force, then you should reject both theories. (shrink)

The idea of “material plenitude” has been gaining traction in recent discussions of the metaphysics of material objects. My main goal here is to show that this idea may have important dialectical implications for the metaphysics of properties – more specifically, that it provides nominalists with new resources in their attempt to reject an ontology of universals. I will recapitulate one of the main arguments against nominalism – due to David Armstrong – and show how plenitude helps the nominalist (...) overcome the argument. (shrink)

Nominalists need some account of correctness for sentences committed to the existence of abstract objects. This paper proposes a new statement of such conditions specifically for properties. The account builds on an earlier proposal of mine, but avoids the counter-examples against the latter pointed out by Thomas Schindler, particularly, the sentence ‘There are inexpressible properties’. I argue that the new proposal is independently motivated and more faithful to the spirit of the kind of error-theoretic nominalism that the original proposal (...) was part of. Along the way, I also propose novel treatments of Arthur Pap’s and W.V.O. Quine’s notoriously hard-to-paraphrase sentences about abstracta. (shrink)

Hofweber (Ontology and the ambitions of metaphysics, Oxford University Press, 2016) argues for a thesis he calls “internalism” with respect to natural number discourse: no expressions purporting to refer to natural numbers in fact refer, and no apparent quantification over natural numbers actually involves quantification over natural numbers as objects. He argues that while internalism leaves open the question of whether other kinds of abstracta exist, it precludes the existence of natural numbers, thus establishing what he calls “restricted nominalism” (...) about natural numbers. We argue that Hofweber’s internalism fails to establish restricted nominalism. Not only is his primary argument for restricted nominalism invalid, the analysis of quantification proposed threatens to collapse internalism into either a traditional form of error theory or realism. (shrink)

In a series of works, Jody Azzouni has defended deflationary nominalism, the view that certain sentences quantifying over mathematical objects are literally true, although such objects do not exist. One alleged attraction of this view is that it avoids various philosophical puzzles about mathematical objects. I argue that this thought is misguided. I first develop an ontologically neutral counterpart of Field’s reliability challenge and argue that deflationary nominalism offers no distinctive answer to it. I then show how this (...) reasoning generalizes to other philosophically problematic entities. The moral is that puzzle avoidance fails to motivate deflationary nominalism. (shrink)

Many philosophers of mathematics are attracted by nominalism – the doctrine that there are no sets, numbers, functions, or other mathematical objects. John Burgess and Gideon Rosen have put forward an intriguing argument against nominalism, based on the thought that philosophy cannot overrule internal mathematical and scientific standards of acceptability. I argue that Burgess and Rosen’s argument fails because it relies on a mistaken view of what the standards of mathematics require.

The article presents a critique of aesthetic realism. The core of this theory contains three theses: (AR) aesthetic properties are the sources of aesthetic experience; (PA) perceptual acquaintance with the objects of aesthetic evaluation is a sine qua non condition for making an judgment; (DM) aesthetic properties are describable. Arguments of faultless disagreement, esse is percipi, and zombie art cast doubt on theses (AR) and (DM). Based on this critique, an alternative nominalist theory of aesthetic experience is proposed, in which (...) the perceptual properties of the object are considered as sufficient condition of aesthetic experience. (shrink)

As part of the development of an epistemology for mathematics, some Platonists have defended the view that we have (i) intuition that certain mathematical principles hold, and (ii) intuition of the properties of some mathematical objects. In this paper, I discuss some difficulties that this view faces to accommodate some salient features of mathematical practice. I then offer an alternative, agnostic nominalist proposal in which, despite the role played by mathematical intuition, these difficulties do not emerge.

This chapter brings together important contributions from geographers, historians, sociologists and media theorists, and looks at these through the lens of social philosophy on the nature of resistance and oppression, to articulate and understand both the positive and negative ways in which industrial nostalgia shapes present-day working-class identities. Celebrations of abandoned industrial sites have been criticised by some as inflicting a form of violence on working-class people (High and Lewis 2007), transforming sites of working-class loss into objects (...) of nostalgic appreciation in ways which marginalise those who worked there, and which close the past off from the working-class present (Lasch 1991). More positive views about industrial nostalgia argue that it provides a way to assert working-class pride in hostile environments, serving as a basis for present-day solidarity (Loveday 2014; Gibbs 2021). By examining this existing literature on deindustrialisation through a social philosophical perspective, our aim here is to shed some light on this phenomenon, in which industrial nostalgia can function both as a tool of oppression but also as a form of resistance against oppression. (shrink)

Can we do science without numbers? How much contingency is there? These seemingly unrelated questions--one in the philosophy of math and science and the other in metaphysics--share an unexpectedly close connection. For as it turns out, a radical answer to the second leads to a breakthrough on the first. The radical answer is new view about modality called compossible immutabilism. The breakthrough is a new strategy for doing science without numbers. One of the chief benefits of the new strategy is (...) that, unlike the existing substantialism approach from Field (1980), the new strategy naturally generalizes to theories formulated in terms of state space. (shrink)

Wilfrid Sellars is widely known for two positions that he calls “nominalism.” On the one hand, there is his “psychological nominalism,” according to which any awareness one might have of abstract entities—be they properties, relations, or facts—is a thoroughly linguistic affair, and so cannot be presupposed in thinking about the process of learning a (first) language. On the other hand, there is his ontological nominalism, according to which the world, as it is in itself, is fundamentally a (...) world of concrete particulars and so does not ultimately contain such things as properties, relations, or propositionally-structured facts. Sellars clearly takes these two sorts of “nominalism” to go together. However, one of the most influential inheritors of Sellars's philosophy, Robert Brandom, thinks that they do not. Brandom endorses the former, but denies that the latter “is in the end so much as intelligible.” In this paper, I articulate the connection between Sellars's psychological and ontological nominalism and draw on Brandom's own development of Sellars's functional role semantics to argue, against Brandom, that Sellars's ontological nominalism not only harmonizes with the rest of his philosophical commitments, but is actually made fully intelligible by the very aspect of Sellars's theory that Brandom himself develops. (shrink)

The concept of population thinking was introduced by Ernst Mayr as the right way of thinking about the biological domain, but it is difficult to find an interpretation of this notion that is both unproblematic and does the theoretical work it was intended to do. I argue that, properly conceived, Mayr’s population thinking is a version of trope nominalism: the view that biological property-types do not exist or at least they play no explanatory role. Further, although population thinking has (...) been traditionally used to argue against essentialism about biological kinds, recently it has been suggested that it may be consistent with at least some forms of essentialism—ones that construe essential properties as relational. I argue that if population thinking is a version of trope nominalism, then, as Mayr originally claimed, it rules out any version of essentialism about biological kinds. (shrink)

In this paper, I introduce an intrinsic account of the quantum state. This account contains three desirable features that the standard platonistic account lacks: (1) it does not refer to any abstract mathematical objects such as complex numbers, (2) it is independent of the usual arbitrary conventions in the wave function representation, and (3) it explains why the quantum state has its amplitude and phase degrees of freedom. -/- Consequently, this account extends Hartry Field’s program outlined in Science Without Numbers (...) (1980), responds to David Malament’s long-standing impossibility conjecture (1982), and establishes an important first step towards a genuinely intrinsic and nominalistic account of quantum mechanics. I will also compare the present account to Mark Balaguer’s (1996) nominalization of quantum mechanics and discuss how it might bear on the debate about “wave function realism.” In closing, I will suggest some possible ways to extend this account to accommodate spinorial degrees of freedom and a variable number of particles (e.g. for particle creation and annihilation). -/- Along the way, I axiomatize the quantum phase structure as what I shall call a “periodic difference structure” and prove a representation theorem as well as a uniqueness theorem. These formal results could prove fruitful for further investigation into the metaphysics of phase and theoretical structure. -/- (For a more recent version of this paper, please see "The Intrinsic Structure of Quantum Mechanics" available on PhilPapers.). (shrink)

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 (EN) about abstract objects, 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 Davidson's intuitive cases for interpretive charity, the reliability of perceptual beliefs, and 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. (shrink)

Buddhist semantic realists assert that reality is always non-linguistic, beyond the domain of conceptual thought. Anything that is conceptual and linguistic, they maintain, cannot be reality and therefore cannot function as reality.The Pra¯san˙gika however rejects the realist theory and argues that all realities are purely linguistic—just names and concepts—and that only linguistic reality can have any causal function. This paper seeks to understand the Pra¯san˙gika’s radical semantic nominalism and its philosophical justifications by comparing and contrasting it with the realistic (...) semantic theories. (shrink)

What are words? What makes two token words tokens of the same word-type? Are words abstract entities, or are they (merely) collections of tokens? The ontology of words tries to provide answers to these, and related questions. This article provides an overview of some of the most prominent views proposed in the literature, with a particular focus on the debate between type-realist, nominalist, and eliminativist ontologies of words.