Online research in philosophy

Thomas Hobbes was, rather famously, a nominalist. The core of that nominalism is the belief that the only universal things are universal names: there are no universal objects, or universal ideas. This paper looks at what Hobbes's views about universal names were, how they evolved over time, and how Hobbes argued for them. The remainder of the paper considers two objections to Hobbes's view: a criticism made by several of Hobbes's contemporaries, that Hobbes's view could not account for people (...) saying the same thing in different languages; and a more recently popular criticism of Hobbes, that his nominalism's reliance on similarity implicitly (and inconsistently) involves reliance on a universal. (shrink)

Whereas traditional nominalists accept the realist's challenge to solve a 'Problem of Universals', the Ostrich Nominalist responds that there is no such Problem to answer. I suggest that Ostrich Nominalist arguments expose a genuine flaw in the realist project. However, I argue, Ostrich Nominalism is ultimately defeated by a problem about the analysis of qualitative sameness and difference. Qualitative sameness and difference are adequately understood only as sameness or difference in some respect. The need to say what these respects (...) of sameness and difference are (if not universals) constitutes a genuine Problem of Universals; consequently—I claim—the Ostrich Nominalist is mistaken. (shrink)

Machine generated contents note: List of abbreviations; Preface; 1. Nominalism as demonic doctrine; 2. Logic, philosophy and the special sciences; 3. Continuity and the problem of universals; 4. Continuity and meaning: Peirce's pragmatic maxim; 5. Logical foundations of Peirce's pragmatic maxim; 6. Experience and its role in inquiry; 7. Scientific method as self-corrective - Peirce's view of the problem of knowledge; 8. The unity of Peirce's theories of truth; 9. Order from chaos: Peirce's evolutionary cosmology; 10. A universe of (...) chance: foundations of Peirce's indeterminism; 11. From inquiry to ethics: the pursuit of truth as moral ideal. (shrink)

Ostrich nominalists often cite Quine’s criterion of ontological commitment in order to claim that their view is more parsimonious than rival positions in ontology such as realism. We show that Quine’s criterion, properly understood, does not support this claim. Indeed, we show that ostrich nominalism has a far more profligate ontology than realism.

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)

Gonzalo Rodriguez-Pereyra offers a fresh philosophical account of properties. How is it that two different things (such as two red roses) can share the same property (redness)? According to resemblance nominalism, things have their properties in virtue of resembling other things. This unfashionable view is championed with clarity and rigor.

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)

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. (shrink)

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. (shrink)

The subject matter of this thesis is analytic ontology. Chapters II and III deal with two versions of trope theory, or moderate nominalism; these are defined as ontologies which recognise properties and relations but no (real) universals. The key notion of both theories, trope, is characterised as an abstract particular. What the abstractness amounts to differs between the two. Yet another difference is that simplicity is an essential trait of a trope according to one theory, but not according to (...) the other. Though exact similarity is said to play an important role in both theories, as it turns out, this does not seem to be the case. The ontology dealt with in chapter IV is a mixture of moderate nominalism concerning qualities and realism concerning relations. In it, quality instances (moments) and universal relations are the ultimate constituents of the universe. While relations and moments are considered to be constituents of states of affairs, which are characterised as objects of higher orders, complexes that are objects of the first order are made up of moments on their own. Among these complexes one finds the ordinary objects. Paradoxically, although relations are necessary for the existence of complex first order objects, relations are not thought to be among the contents of these objects. The main subject of chapter V is a particular version of moderate realism; it is an ontology which is realistic in its recognition of universals and moderate in its recognition of instances of these universals. Instances combine to form complex networks. A theoretically motivated claim is that although each instance has a predicational aspect as well as a universal one, it is simple in the sense of lacking internal predicative structure; though, this claim can be called into question. Keywords: analytic ontology, moderate nominalism, moderate realism, particular, universal, abstract, concrete, abstract particular, abstract universal, concrete particular, concrete universal, trope, moment, complex unity, collection, instance, unit attribute, intensional aspect, predicational aspect, continuous composite, articulated composite. (shrink)

My aim in this paper is to consider one of Peirce's criticisms of Hegel, namely, that Hegel was a nominalist. Of the various criticisms of Hegel that Peirce offers, this has been little discussed, perhaps because it is puzzling to find Peirce making it at all. For, Peirce also criticises Hegel for his overzealous enthusiasm for Thirdness, where it is then hard to see how Hegel can have both faults: how can anyone who acknowledges the significance of Thirdness in Peirce's (...) sense also fail to be a realist? I will begin by setting out this difficulty and showing how it can be resolved, and will then consider the justice of Peirce's criticism once we have a clear idea of what it amounts to. I will suggest that this criticism is unwarranted, and that in some respects it is curious to find Peirce making it, when he could just as easily have treated Hegel as an ally in the bmggle with nominalism. The issue therefore takes us to the heart of Peircean and Hegelian metaphysics, and in a way that relates to questions that are central to contemporary philosophical debates concerning the nature of realism, idealism, and anti-realism. (shrink)

Among biological kinds, the most important are species. But species, however defined, have vague boundaries, both synchronically owing to hybridization and ongoing speciation, and diachronically owing to genetic drift and genealogical continuity despite speciation. It is argued that the solution to the problems of species and their vague boundaries is to adopt a thoroughgoing nominalism in regard to all biological taxa, from species to domains. The base entities are individual organisms: populations of these compose species and higher taxa. This (...) accommodates all the important biological facts while avoiding the legacy problems of pre-evolutionary typological taxonomy, which saw species and other taxa as prior to their members. Species are however not individuals: they are spatiotemporally bounded collections, which are plural particulars. (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)

Gonzalo Rodriguez-Pereyra offers a fresh philosophical account of properties. How is it that two different things (such as two red roses) can share the same property (redness)? According to resemblance nominalism, things have their properties in virtue of resembling other things. This unfashionable view is championed with clarity and rigor.

(Warning: juvenalia from a grad student journal!). On whether Ockham's nominalism is really nominalistic and whether it faces some of the same problems as later nominalisms. -/- .

A challenger of traditions and boundaries A pivotal figure in 20th-century philosophy, Nelson Goodman has made seminal contributions to metaphysics, epistemology, aesthetics, and the philosophy of language, with surprising connections that cut across traditional boundaries. In the early 1950s, Goodman, Quine, and White published a series of papers that threatened to torpedo fundamental assumptions of traditional philosophy. They advocated repudiating analyticity, necessity, and prior assumptions. Some philosophers, realizing the seismic effects repudiation would cause, argued that philosophy should retain the familiar (...) framework. Others considered the arguments compelling, but despaired of doing philosophy without the framework. Goodman disagreed with both factions. Rather than regretting the loss of structure, he capitalized on the opportunities that arise when the strictures of tradition are loosened. Available individually by volume 1. Nominalism, Constructivism, and Relativism in the Work of Nelson Goodman (0-8153-2609-2) 296 pages 2. Nelson Goodman's New Riddle of Induction (0-8153-2610-6) 312 pages 3. Nelson Goodman's Philosophy of Art (0-8153-2611-4) 284 pages 4. Nelson Goodman's Theory of Symbols and its Applications (0-8153-2612-2) 344 pages. (shrink)

Book Information Resemblance Nominalism: A Solution to the Problem of Universals. By Gonzalo Rodriguez-Pereyra. Clarendon Press. Oxford. 2002. Pp. xii + 238. £35.

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. (shrink)

…entities? 2. How to be a nominalist 2.1. “Speak with the vulgar …” 2.2. “…think with the learned” 3. Arguments for nominalism 3.1. Intelligibility, physicalism, and economy 3.2. Causal..

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 present paper will argue that, for too long, many nominalists have concentrated their researches on the question of whether one could make sense of applications of mathematics (especially in science) without presupposing the existence of mathematical objects. This was, no doubt, due to the enormous influence of Quine’s “Indispensability Argument”, which challenged the nominalist to come up with an explanation of how science could be done without referring to, or quantifying over, mathematical objects. I shall admonish nominalists to enlarge (...) the target of their investigations to include the many uses mathematicians make of concepts such as structures and models to advance pure mathematics . I shall illustrate my reasons for admonishing nominalists to strike out in these new directions by using Hartry Field’s nominalistic view of mathematics as a model of a philosophy of mathematics that was developed in just the sort of way I argue one should guard against. I shall support my reasons by providing grounds for rejecting both Field’s fictionalism and also his deflationist account of mathematical knowledge—doctrines that were formed largely in response to the Indispensability Argument. I shall then give a refutation of Mark Balaguer’s argument for his thesis that fictionalism is “the best version of anti-realistic anti-platonism”. (shrink)

In his two recent books on ontology, Universals: an Opinionated Introduction, and A World of States of Affairs, David Armstrong gives a new argument against nominalism. That argument seems, on the face of it, to be similar to another argument that he used much earlier against Rylean behaviourism: the Truthmaker Argument, stemming from a certain plausible premise, the Truthmaker Principle. Other authors have traced the history of the truthmaker principle, its appearance in the work of Aristotle [10], Bradley [16], (...) and even Husserl [15]. But that is not my task — in this paper I argue that Armstrong’s new argument is not logically analogous to the old, and, in particular, that it is quite possible to be a thoroughgoing nominalist, and hold a truthmaker principle. (shrink)

This paper defends (especially in response to Brian Leftow’s recent attack) logical nominalism, the thesis that logically necessary truth belongs primarily to sentences and depends solely on the conventions of human language. A sentence is logically necessary (that is, a priori metaphysically necessary) iff its negation entails a contradiction. A sentence is a posteriori metaphysically necessary iff it reduces to a logical necessity when we substitute for rigid designators of objects or properties canonical descriptions of the essential properties of (...) those objects or properties. The truth-conditions of necessary sentences are not to be found in any transcendent reality, such as God’s thoughts. "There is a God" is neither a priori nor a posteriori metaphysically necessary; God is necessary in the sense that His existence is not causally contingent on anything else. (shrink)

James Ladyman has argued that constructive empiricism entails modal realism, and that this renders constructive empiricism untenable. We maintain that constructive empiricism is compatible with modal nominalism. Although the central term ‘observable’ has been analyzed in terms of counterfactuals, and in general counterfactuals do not have objective truth conditions, the property of being observable is not a modal property, and hence there are objective, non-modal facts about what is observable. Both modal nominalism and constructive empiricism require clarification in (...) the face of Ladyman's argument. But we also argue that, even if Ladyman were right that constructive empiricism entails modal realism, this would not be a problem for constructive empiricism. 1 Introduction 2 Concerning (A) ‘The entire view is stated in modal discourse’ 3 Concerning (B) ‘The central term "observable" is a modal term’ 3.1 A devastating argument? 3.2 Critique of the argument 4 The objectivity of ‘observable’ 4.1 A specific empirical question 4.2 Viewing ourselves as our own measuring instruments 5 Concerning (C) ‘Scientific theories involve irreducible modality’ 6 Serious tension at the motivational level? (shrink)

Russell famously argued that Resemblance Nominalism leads to a vicious infinite regress in attempting to avoid admitting universals. Saying that a number of things are white only in that they resemble a particular white thing leaves a number of resemblances to that white thing, each of them constituting the holding of the same relation to the paradigm, qualifying that resemblance relation as a universal. Trying to dismiss that new universal by appeal to resemblances between those first resemblances only leads (...) to a new universal of resemblance, and so on. It is argued here that this does not arise for a properly formulated resemblance theory, which only requires one complex relation among the many particulars we deal with, a complex relation which is not multiply instantiated and thus not a universal. (shrink)

In his (2002) Gonzalo Rodriguez-Pereyra provides a powerful articulation of the claim that Resemblance Nominalism provides the best answer to the so-called Problem of Universals. Resemblance Nominalism has not been popular for some time, and one influential reason for this is the widespread belief that Resemblance Nominalism cannot dispense with all universals. The realist critics appeal to what is known as Russell’s Regress (cf. Russell 1997). If properties are to be explained in terms of one object’s resembling (...) another, then this seems to leave the relational property of resemblance itself unexplained. The critics’ objection is that this property itself must be explained by a dyadic universal of resemblance. (shrink)

The Quine-Putnam Indispensability argument is the argument for treating mathematical entities on a par with other theoretical entities of our best scientific theories. This argument is usually taken to be an argument for mathematical realism. In this chapter I will argue that the proper way to understand this argument is as putting pressure on the viability of the marriage of scientific realism and mathematical nominalism. Although such a marriage is a popular option amongst philosophers of science and mathematics, in (...) light of the indispensability argument, the marriage is seen to be very unstable. Unless one is careful about how the Quine-Putnam argument is disarmed, one can be forced to either mathematical realism or, alternatively, scientific instrumentalism. I will explore the various options: (i) finding a way to reconcile the two partners in the marriage by disarming the indispensability argument (Jody Azzouni [2], Hartry Field [13, 14], Alan Musgrave [18, 19], David Papineau [21]); (ii) embracing mathematical realism (W.V.O. Quine [23], Michael Resnik [25], J.J.C. Smart [27]); and (iii) embracing some form of scientific instrumentalism (Ot´ avio Bueno [7, 8], Bas van Fraassen [30]). Elsewhere [11], I have argued for option (ii) and I won’t repeat those arguments here. Instead, I will consider the difficulties for each of the three options just mentioned, with special attention to option (i). In relation to the latter, I will discuss an argument due to Alan Musgrave [19] for why option (i) is a plausible and promising approach. From the discussion of Musgrave’s argument, it will emerge that the issue of holist versus separatist theories of confirmation plays a curious role in the realism–antirealism debate in the philosophy of mathematics. I will argue that if you take confirmation to be an holistic matter—it’s whole theories (or significant parts thereof) that are confirmed in any experiment—then there’s an inclination to opt for (ii) in order to resolve the marital tension outlined above.. (shrink)

How do we account for resemblance between concrete particular objects? What is it about reality which makes a sentence such as the following true? (1) x and y are both spherical Realists about properties claim that, at a fundamental level, this sentence is true because x and y both exemplify the property of sphericity. Michael Loux favours this account of resemblance. Nevertheless, Loux concedes that austere nominalism, which I understand to be the view that nothing exists over and above (...) particular concrete objects, can offer a plausible account of resemblance. (shrink)

The fictional monster Cthulhu was created by HP Lovecraft. Therefore there is some thing, Cthulhu, that Lovecraft created. Cthulhu is a fictional being, so there are fictional beings. You can’t kick a fictional being, so they are abstract. Thankfully, all of this is compatible with a sparse nominalistic ontology. What is important for the nominalist is that a world of concreta suffices to ground all truths, and fictional beings have their grounds in concrete acts of interpretation. Or so I will (...) argue. Along the way we’ll deal with indeterminate identity of fictional characters, as well as making some general remarks about metaontology. (shrink)

In the philosophy of mathematics, indispensability arguments aim to show that we are justified in believing that abstract mathematical objects exist. I wish to defend a particular objection to such arguments that has become increasingly popular recently. It is called instrumental nominalism. I consider the recent versions of this view and conclude that it has yet to be given an adequate formulation. I provide such a formulation and show that it can be used to answer the indispensability arguments. -/- (...) There are two main indispensability arguments in the literature, though one has received nearly all of the attention. They correspond to two ways in which we use mathematics in science and in everyday life. We use mathematical language to help us describe non-mathematical reality; and we use mathematical reasoning to help us perform inferences concerning non-mathematical reality using only a feasible amount of cognitive power. The former use is the starting point of the Quine-Putnam indispensability argument ([Quine, 1980a], [Quine, 1980b], [Quine, 1981a], [Quine, 1981b], [Putnam, 1979a], [Putnam, 1979b]); the latter provides the basis for Ketland’s more recent argument ([Ketland, 2005]). I begin by considering the Quine-Putnam argument and introduce instrumental nominalism to defuse it. Then I show that Ketland’s argument can be defused in a similar way. (shrink)

In "nominalism and realism" armstrong carefully demolishes various nominalist responses to plato's "one over many" problem but simply dismissed the quinean response as "ostrich nominalism". The paper argues that plato's problem is pseudo. So to ignore it is not to behave like an ostrich. Rather to adopt realism because of this problem that isn't there is to be a "mirage realist." there are some good reasons that lead armstrong to realism but he is largely a mirage realist. Quine (...) does not ignore any real problem for nominalism and so is not an ostrich nominalist. (shrink)

The ten contributions in this volume range widely over topics in the philosophy of mathematics. The four papers in Part I (entitled "Set Theory, Inconsistency, and Measuring Theories") take up topics ranging from proposed resolutions to the paradoxes of naïve set theory, paraconsistent logics as applied to the early infinitesimal calculus, the notion of "purity of method" in the proof of mathematical results, and a reconstruction of Peano's axiom that no two distinct numbers have the same successor. Papers in the (...) second part ("The Challenge of Nominalism") concern the nominalistic thesis that there are no abstract objects. The two contributions in Part III ("Historical Background") consider the contributions of Mill, Frege, and Descartes to the philosophy of mathematics. (shrink)

This paper examines a recent proposal for reviving so-called resemblance nominalism. It is argued that, although consistent, it naturally leads to trope theory upon examination for reasons having to do with the appeal of neutrality as regards certain non-trivial ontological theses.

'Natural class' trope nominalism makes a trope's being of a certain sort--its nature--a matter of its membership in a certain natural class of actual tropes. It has been objected that on this theory had even a single member of the class of red tropes not existed, for example, then the type 'being red' would not have been instantiated and nothing would have been red. I argue that natural class trope nominalism can avoid this implication by way of counterpart (...) theory as applied to properties. (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)

In this paper I draw a connection between Kuhn and the empiricist legacy, specifically between his thesis of incommensurability, in particular in its later taxonomic form, and van Fraassen's constructive empiricism. I show that if it is the case the empirically equivalent but genuinely distinct theories do exist, then we can expect such theories to be taxonomically incommensurable. I link this to Hacking's claim that Kuhn was a nominalist. I also argue that Kuhn and van Fraassen do not differ as (...) much as might be thought as regards the claim that observation is theory laden. (shrink)

Salmon and Soames argue against nominalism about numbers and sentence types. They employ (respectively) higher-order and first-order logic to model certain natural language inferences and claim that the natural language conclusions carry commitment to abstract objects, partially because their renderings in those formal systems seem to do that. I argue that this strategy fails because the nominalist can accept those natural language consequences, provide them with plausible and non-committing truth conditions and account for the inferences made without committing themselves (...) to abstract objects. I sketch a modal account of higher-order quantification, on which instead of ranging over sets, higher order quantifiers are used to make (logical) possibility claims about which predicate tokens can be introduced. This approach provides an alternative account of truth conditions for natural language sentences which seem to employ higher-order quantification, thus allowing the nominalist to evade Salmon’s argument. I also show how the nominalist can account for the occurrence of apparently singular abstract terms in certain true statements. I argue that the nominalist can achieve this by, first, dividing singular terms into real singular terms (referring to concrete objects) and only apparent singular terms (called onomatoids), introduced for the sake of brevity and simplicity, and then providing an account of nominalistically acceptable truth conditions of sentences containing onomatoids. I develop such an account in terms of modally interpreted abstraction principles and argue that applying this strategy to Soames’s argument allows the nominalists to defend themselves. (shrink)

The indispensability argument, which claims that science requires beliefs in mathematical entities, gives a strong motivation for mathematical realism. However, mathematical realism bears Benacerrafian ontological and epistemological problems. Although recent accounts of mathematical realism have attempted to cope with these problems, it seems that, at least, a satisfactory account of epistemology of mathematics has not been presented. For instance, Maddy's realism with perceivable sets and Resnik's and Shapiro's structuralism have their own epistemological problems. This fact has been a reason to (...) rebut the indispensability argument and adopt mathematical nominalism. Since mathematical nominalism purports to be committed only to concretia, it seems that mathematical nominalism is epistemically friendlier than mathematical realism. However, when it comes to modal mathematical nominalism, this claim is not trivial. There is a reason for doubting the modal primitives that it invokes. In this thesis, this doubt is investigated through Chihara's Constructibility Theory. Chihara's Constructibility Theory purports not to be committed to abstracta by replacing existential assertions of the standard mathematics with ones of constructibility. However, the epistemological status of the primitives in Chihara's system can be doubted. Chihara might try to argue that the problem would dissolve by using possible world semantics as a didactic device to capture the primitive notions. Nonetheless, his analysis of possible world semantic is not plausible, when considered as a part of the project of nominalizing mathematics in terms of the Constructibility Theory. (shrink)

In this paper I defend mathematical nominalism by arguing that any reasonable account of scientific theories and scientific practice must make explicit the empirical non-mathematical grounds on which the application of mathematics is based. Once this is done, references to mathematical entities may be eliminated or explained away in terms of underlying empirical conditions. I provide evidence for this conclusion by presenting a detailed study of the applicability of mathematics to measurement. This study shows that mathematical nominalism may (...) be regarded as a methodological approach to applicability, illuminating the use of mathematics in science. (shrink)

It is often claimed that nominalistic programmes to reconstruct mathematics fail, since they will at some point involve the notion of logical consequence which is unavailable to the nominalist. In this paper we use an idea of Goodman and Quine to develop a nominalistically acceptable explication of logical consequence.

Part of Sellars’s general attack on the Myth of the Given is his endorsement of psychological nominalism, a view that implies that awareness of our own mental states is not given but must be earned.Sellars provides an account of how such awareness might have been earned with the Myth of Jones. Such an account is important for Sellars, for without it the Given can look necessary after all. But aproblem with such accounts is that they can look extremely implausible. (...) Sellars himself seems unconcerned to make his account plausible, and so others have stepped in here. But, I argue, they have done so in ways that fail to respect his psychological nominalism. This evinces, as well as reinforces, a lack of sensitivity to the scope of Sellars’s attack on the Given, the aim of which is the dismantling of “the entire framework of givenness.” In this essay, I show how one can make Sellars’s Myth of Jones plausible, while still respecting his psychological nominalism, by seeing how Jones’s thought is governed by the norms of rationality as interpretability. (shrink)

In this paper, I consider an objection to ``natural class''trope nominalism, the view that a trope's nature isdetermined by its membership in a natural class of tropes.The objection is that natural class trope nominalismis inconsistent with causes' being efficacious invirtue of having tropes of a certain type. I arguethat if natural class trope nominalism is combinedwith property counterpart theory, then this objectioncan be rebutted.

According to the indispensability argument, scientific realists ought to believe in the existence of mathematical entities, due to their indispensable role in theorising. Arguably the crucial sense of indispensability can be understood in terms of the contribution that mathematics sometimes makes to the super-empirical virtues of a theory. Moreover, the way in which the scientific realist values such virtues, in general, and draws on explanatory virtues, in particular, ought to make the realist ontologically committed to abstracta. This paper shows that (...) this version of the indispensability argument glosses over crucial detail about how the scientific realist attempts to generate justificatory commitment to unobservables. The kind of role that the Platonist attributes to mathematics in scientific reasoning is compatible with nominalism, as far as scientific realist arguments are concerned. (shrink)

In this paper I examine critically the relationship between the realist and nominalist views of abstract objects. I begin by pointing out some differences between the usage of existential statements in metaphysics and the usage of such statements in disciplines outside of philosophy. Then I propose an account of existence that captures the characteristic intuitions underlying the latter kind of usage. This account implies that abstract object existence claims are not as ontologically extravagant as they seem, and that such claims (...) are immune to certain standard nominalistic criticisms. (shrink)

In a 2005 paper, John Burgess and Gideon Rosen offer a new argument against nominalism in the philosophy of mathematics. The argument proceeds from the thesis that mathematics is part of science, and that core existence theorems in mathematics are both accepted by mathematicians and acceptable by mathematical standards. David Liggins (2007) criticizes the argument on the grounds that no adequate interpretation of “acceptable by mathematical standards” can be given which preserves the soundness of the overall argument. In this (...) discussion I offer a defense of the Burgess-Rosen argument against Liggins’s objection. I show how plausible versions of the argument can be constructed based on either of two interpretations of mathematical acceptability, and I locate the argument in the space of contemporary anti-nominalist views. (shrink)

To many contemporary philosophers, the phrase “essentialist nominalism” may appear to be an oxymoron. After all, essentialism is the doctrine that things come in natural kinds characterized by their essential properties, on account of some common nature or essence they share. But nominalism is precisely the denial of the existence, indeed, the very possibility of such shared essences. Nevertheless, despite the intuitions of such contemporary philosophers,2 John Buridan was not only a thoroughgoing nominalist, as is well-known, but also (...) a staunch defender of a strong essentialist doctrine against certain skeptics of his time. But then the question inevitably arises: could he consistently maintain such a doctrine? (shrink)

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. (shrink)

It is argued that, if Armstrong is correct and truthmakers necessitate the truths they make true, then the truthmakers must include facts about the meanings of the words used to express those truths, and nominalism apparently results. This conclusion, no doubt unpalatable to Armstrong, is, it is claimed, the result of his having failed to distinguish sufficiently the meanings of words and the properties of things.

Nominalism and the application of mathematics Content Type Journal Article Category Book Review Pages 1-4 DOI 10.1007/s11016-012-9653-6 Authors Otávio Bueno, Department of Philosophy, University of Miami, Coral Gables, FL 33124, USA Journal Metascience Online ISSN 1467-9981 Print ISSN 0815-0796.

Yet, he also says that it is philosophically indeterminate which criterion for what exists is correct. Nominalism is the view that certain objects ( i.e ., abstract objects) do not exist, and not the view that it is philosophically indeterminate whether or not they do. I resolve the dilemma that Azzouni's claims pose: Azzouni is a non-factualist about what exists, but he is a factualist about which criterion for what exists our community of speakers has adopted. It is in (...) the latter sense only that Azzouni can call himself a nominalist. My thanks to Jody Azzouni and to an anonymous referee for helpful suggestions. CiteULike Connotea Del.icio.us What's this? (shrink)

The causal theory of properties is standardly combined with a realist's ontology of universals or tropes. In this paper, I consider an uncharted alternative – a nominalist causal theory of properties. I discuss advantages and disadvantages of the resulting theory of properties, and explore the Rylean understanding of causal powers that emerges.

In this paper, I provide an easy road to nominalism which does not rely on a Field-type nominalization strategy for mathematics (Field 1980). According to this proposal, applications of mathematics to science, and alleged mathematical explanations of physical phenomena, only emerge when suitable physical interpretations of the mathematical formalism are advanced. And since these interpretations are rarely distinguished from the mathematical formalism, the impression arises that mathematical explanations derive from the mathematical formalism alone. I correct this misimpression by pointing (...) out, in the cases recently discussed by Mark Colyvan (2010), exactly where the interpretations of the formalism were invoked and the function they played in the resulting explanations. A viable form of easy-road nominalism, which is also sensitive to scientific practice, then arises. (shrink)

Symbolic logic is a marvelous thing. It allows for an explicit expression of existence, viz. by means of the existential quantifier, and by it only. This is the true gist in Quine’s slogan “to be is to be a value of a bound variable.” Accordingly, one can also formulate explicitly the thesis of nominalism in terms of such logic. What this thesis says is that all the values of existential quantifiers we need in our language are particular objects, not (...) higher-order objects such as properties, relations, functions and sets. This requirement is satisfied by the first-order languages using the received first-order logic. The commonly used basic logic is therefore nominalistic. But this result does not tell anything, for the received first-order logic is far too weak to capture all we need in mathematics or science. According to conventional wisdom, we need for this purpose either higher-order logic or set theory. Now both of them deal with higher-order entities and hence violate the canons of nominalism. This does not refute nominalism, however. For I will show that both set theory and higher-order logic can be made dispensable by developing a more powerful first-order logic that can do the same job as they do. Moreover, there are very serious problems connected with both of them. This constitutes an additional reason for dispensing with them in the foundations of mathematics. I will show how we can do just that. But we obviously need a better first-order logic for the purpose. Hence my first task is to develop one. But is this a viable construal of the problem of nominalism? The very distinction between particular and higher-order entities might perhaps seem to be hard to capture in logical terms — harder than has been indicated so far. Logicians like Jouko Väänänen (2001) have emphasized the complexities involved in trying to distinguish first-order logic from higher-order logic.. (shrink)

Biological naturalism claims that all psychological phenomena can be causally, though not ontologically, reduced to neurological processes, where causal reduction is usually understood in terms of supervenience. After presenting John Searle’s version of biological naturalism in some detail, I argue that the particular supervenience relation on which this account depends is dubious. Specifically, the fact that either realism or nominalism is the case implies that there is one fact about belief that does not supervene on neurophysiological processes. Biological naturalism (...) is thereby defeated because it cannot account for belief. Ialso address three likely objections to this argument. (shrink)

Byrne & Hilbert are right that it might be an objective fact that a particular tomato is unique red, but wrong that it cannot simultaneously be yellowish-red (not only objectively, but from somebody else's point of view). Sensory categorization varies among organisms, slightly among conspecifics, and sharply across taxa. There is no question of truth or falsity concerning choice of categories, only of utility and disutility. The appropriate framework for color categories is Nominalism and Pluralistic Realism.

Weaving a nominalist conception of nature, science and art Content Type Journal Article DOI 10.1007/s11016-010-9487-z Authors Katerina Bantinaki, Department of Philosophy and Social Studies, University of Crete, 74100 Rethymnon, Greece Journal Metascience Online ISSN 1467-9981 Print ISSN 0815-0796.

The commodification of code demands two preconditions: a belief if the existence of code and a system of ownership for the code. An examination of these preconditions is helpful for resisting the further widening of digital divides. The ontological belief in the relatively independent existence of code is dependent on our understanding of what the “digital” is. Here it is claimed that the digital is not a natural kind, but a concept that is relative to our practices of interpretation. An (...) interpretative system that sees code as something that can or should always be owned implies an increase of social control and threatens vital processes of knowledge creation that are necessary for an open and egalitarian information society. The ontological belief in “digital code” thus provides the backdrop for an ethical view of the information society. Consequently, if we see digital code as an interpretative notion (in the nominalist way), the ethical questions appear in a different light. (shrink)

Nominalism (the thesis that there are no abstract objects) faces the task of explaining away the ontological commitments of applied mathematical statements. This paper reviews an argument from the philosophy of logic that focuses on this task and which has been used as an objection to certain specific formulations of nominalism. The argument as it is developed in this paper aims to show that nominalism in general does not have the epistemological advantages its defendants claim it has. (...) I distinguish between two strategies that are available to the nominalist: The Evaluation Programme, which tries to preserve the common truth-values of mathematical statements even if there are no mathematical objects, and Fictionalism, which denies that mathematical sentences have significant truth-values. It is argued that the tenability of both strategies depends on the nominalist’s ability to account for the notion of consequence. This is a problem because the usual meta-logical explications of consequence do themselves quantify over mathematical entities. While nominalists of both varieties may try to appeal to a primitive notion of consequence, or, alternatively, to primitive notions of logical or structural possibilities, such measures are objectionable. Even if we are equipped with a notion of either consequence or possibility that is primitive in the relevant sense, it will not be strong enough to account for the consequence relation required in classical mathematics. These examinations are also useful in assessing the possible counter-intuitive appeal of the argument from the philosophy of logic. (shrink)

The paper deals with our ability to classify objects as being of a certain kind on the basis of information provided by the senses (empirical classification) and to ascribe empirical predicates to objects on the basis of these classificatory verdicts (empirical predication). I consider, first, the project of construing the episodes in which this ability is exercised as involving universals. I argue that this construal faces epistemological problems concerning our access to the universals that it invokes. I present the empiricist (...) strategy for dealing with these problems by appeal to sensory qualities, and argue that it rests on a mistake. Then I turn to sketching an account of our faculty of empirical classification and predication which doesn't invoke universals. The account takes as its starting point the nominalist construal of sense experience to be found in the work of C. I. Lewis and Nelson Goodman. I argue that this construal has the resources for explaining some of the central features of the practice of empirical predication. There are those who feel that our ability to understand general terms ... would be inexplicable unless there were universals as objects of apprehension. And there are those who fail to detect, in such appeal to a realm of entities over and above the concrete objects in space and time, any explanatory value. W. V. O. Quine, ‘Logic and the Reification of Universals’. (shrink)

This paper analyzes Hobbes’s understanding of signification, the process whereby words come to have meaning. Most generally, Hobbes develops and extends the nominalist critique of universals as it is found in Ockham and subsequently carried forward by early moderns such as Descartes. Hobbes’s radicality emerges in comparison with Ockham and Descartes, as, unlike them, Hobbes also reduces the intellectual faculty entirely to imagination. According to Hobbes, we have nothing in which a stabilizing, pre-discursive mental language could inhere. Hobbes thus concludes (...) that all thinking is affective and semiotic, and depends on the regulation of conventionally established regimes of signs. Establishing this regulation is one of the central functions of the Hobbesian commonwealth. (shrink)

This paper addresses Klima’s charge of inconsistancy against John Buridan in a book recently published on the subject. Klima argues that Buridan’s theoryof abstraction commits him to the aspectuality of substantial concepts. However, his semantics of absolute terms and concepts prevents him from accepting anyaspectuality of substantial concepts. In light of this problem, the paper gives a detailed reconstruction of Buridan’s account of abstraction, beginning with sensoryperception and singular cognition and ending with the formation of substantial concepts that have a (...) universal signification. Then, from this reconstruction, someBuridanian responses are given to Klima’s critique, which explain at least why Buridan did not see the problem himself. Finally, the conclusion comes down in favor of Klima and, in light of the discussion, highlights some fundamental problems with the nominalist project. (shrink)

This book is remarkable for what it does not do. It purports to be about Peirce's opposition to nominalism, but it never states clearly what nominalism is and says little about Peirce's realist alternative. It contains no historical discussion of nominalism and thus does not explain the relation of Peirce's idiosyncratic use of that term to its original meaning. It ignores the secondary literature on that topic and does not even list Rosa Mayorga's highly relevant 2007 book, (...) From Realism to Realicism [sic], in its Bibliography. Nor, despite nominalism's alleged 'threat,' does it make reference to such important recent nominalists as Nelson Goodman or W.V.O. Quine. Indeed, after page one, there is hardly any .. (shrink)

The paper begins by considering Russell's criticism of Meinong's theory of objects and Sosein that center on the notions of negation and existence. The discussion raises issues about functions, properties, predication, the "concept" of existence and relations. These lead to a consideration of recent revivals of moderate nominalism in the form of trope theories. An argument against such theories suggests a fundamental principle of ontology and a reformulation of the nominalism-realism dispute.

After comparing three main views regarding the existing and nature of qualities and quality-Instances - extreme nominalism (qualities do not exist), nominalism (qualities exist and are abstract particulars), and realism (qualities exist and are multiply exemplifiable entities in their instances) - an attempt is made to clarify the real difference between nominalism and realism to show the superiority of the latter. This is done by criticizing two alledged realist positions offered by Nicholas Wolterstorff and Michael Loux. Their (...) views are shown to be versions of nominalism, not realism, and they are compared to the advantages offered by a true, realist account of predication. (shrink)

Introduction: mathematization and the language of nature -- Realists and nominalists : language and mathematics before the scientific revolution -- Ontology recapitulates epistemology : Gassendi, epicurean atomism, and nominalism -- British empiricism, nominalism, and constructivism -- Three mathematicians : constructivist epistemology and the new mathematical methods -- Conclusion: mathematization and the nature of language.

Hartry Field has shown us a way to be nominalists: we must purge our scientific theories of quantification over abstracta and we must prove the appropriate conservativeness results. This is not a path for the faint hearted. Indeed, the substantial technical difficulties facing Field’s project have led some to explore other, easier options. Recently, Jody Azzouni, Joseph Melia, and Stephen Yablo have argued (in different ways) that it is a mistake to read our ontological commitments simply from what the quantifiers (...) of our best scientific theories range over. In this paper, I argue that all three arguments fail and they fail for much the same reason; would-be nominalists are thus left facing Field’s hard road. (shrink)

My review of Boghossian's book, Fear of Knowledge, is generally sympathetic toward his rejection of epistemic relativism and turns toward an examination of "constructivist" themes in light of an anti-nominalist perspective. In general terms, this is a fine little book, tightly argued, and well worth considerable attention--especially from the friends of relativism and those supporting versions of constructivism. (Constructivism + radical nominalism = relativism.).

In this paper, I develop a new defense of logicism: one that combines logicism and nominalism. First, I defend the logicist approach from recent criticisms; in particular from the charge that a cruciai principie in the logicist reconstruction of arithmetic, Hume's Principle, is not analytic. In order to do that, I argue, it is crucial to understand the overall logicist approach as a nominalist view. I then indicate a way of extending the nominalist logicist approach beyond arithmetic. Finally, I (...) argue that a nominalist can use the resulting approach to provide a nominalization strategy for mathematics. In this way, mathematical structures can be introduced without ontological costs. And so, if this proposal is correct, we can say that ultimately all the nominalist needs is logic (and, rather loosely, ali the logicist needs is nominalism). (shrink)

Arguing for mathematical realism on the basis of Field’s explanationist version of the Quine–Putnam Indispensability argument, Alan Baker has recently claimed to have found an instance of a genuine mathematical explanation of a physical phenomenon. While I agree that Baker presents a very interesting example in which mathematics plays an essential explanatory role, I show that this example, and the argument built upon it, begs the question against the mathematical nominalist.

If anything is taken for granted in contemporary metaphysics, it is that platonism with respect to a discourse of metaphysical interest, such as fictional or mathematical discourse, affords a better account of the semantic appearances than nominalism, other things being equal. This belief is often motivated by the intuitively stronger one that the platonist can take the semantic appearances “at face-value” while the nominalist must resort to apparently ad hoc and technically problematic machinery in order to explain those appearances (...) away. -/- In this paper, I argue that, on any natural construal of “face-value”, the platonist, like the nominalist, does not in general seem to be able to take the semantic appearances at face-value. And insofar as the nominalist is forced to adopt apparently ad hoc and technically problematic machinery in order to explain those appearances away, the platonist is generally forced to adopt machinery which is at least prima facie ad hoc and technically problematic as well. One moral of the story is that the thesis that platonism affords a better account of the semantic appearances than nominalism, other things being equal, is not trivial. Another is that we should rethink our methodology in metaphysics. (shrink)

I present, motivate, and defend a theory of properties. Its novel feature is that it takes entire determinables-together-with-their-determinates as its units of analysis. This, I argue, captures the relations of entailment and exclusion among properties, solves the problem of extensionality, and points the way towards an actualist analysis of modality.