Graham Priest presents an original exploration of questions concerning the one and the many. He covers a wide range of issues in metaphysics--unity, identity, grounding, mereology, universals, being, intentionality and nothingness--and draws on Western and Asian philosophy as well as paraconsistent logic to offer a radically new treatment of unity.

What is a singular object? An idea, a building, a color, a sentiment, a human being. Each in turn comes under scrutiny in this exhilarating dialogue between two of the most interesting thinkers working in philosophy and architecture today. From such singular objects, Jean Baudrillard and Jean Nouvel move on to fundamental problems of politics, identity, and aesthetics as their exchange becomes an imaginative exploration of the possibilities of modern architecture and the future of modern life. Among (...) the topics the two speakers take up are the city of tomorrow and the ideal of transparency, the gentrification of New York City and Frank Gehry’s surprising Guggenheim Museum in Bilbao. As Nouvel prompts Baudrillard to reflect on some of his signature concepts, the confrontation between such philosophical concerns and the specificity of architecture gives rise to novel and striking formulations—and a new way of establishing and understanding the connections between the practitioner and the philosopher, the object and the idea. This wide-ranging conversation builds a bridge between the fields of architecture and philosophy. At the same time it offers readers an intimate view of the meeting of objects and ideas in which the imagined, constructed, and inhabited environment is endlessly changing, forever evolving. Jean Baudrillard is one of the most influential thinkers of his generation and author of _The Vital Illusion_. Jean Nouvel has designed buildings throughout the world, including the new Guthrie Theater in Minneapolis, and is a recipient of France’s Grand Prix d’Architecture. Robert Bononno, a translator and teacher, lives in New York City. (shrink)

The use of mathematics in economics has been widely discussed. The philosophical discussion on what mathematics is remains unsettled on why it can be applied to the study of the real world. We propose to get back to some philosophical conceptions that lead to a language-like role for the mathematical analysis of economic phenomena and present some problems of interest that can be better examined in this light. Category theory provides the appropriate tools for these analytical approach.

At first glance singularity would seem to be necessarily opposed to the physical sciences, indeed to any kind of science. As the hallowed saying goes: “Science deals only in universals.” According to this view, the aim of any true scientific endeavor must be the discovery of universals or, in other words, the value of such an endeavor is based on its ability to explain phenomena in terms of universals. The status of singularity in science is a direct (...) result of this approach. Singularity is associated with the presence, either in a person or an object, of an unusual or exceptional quality, or of an individual trait. Singularity so conceived must therefore be seen as inherently compromising the aims of any scientific endeavor, since the purpose of that endeavor is universality as defined above. In this sense, the basis of scientific explication is the ability to determine a feature common to a collection of objects, thus allowing them to be explained by deductive reasoning. This common feature can therefore not be individual, if individual is understood as unusual or exceptional. (shrink)

The author considers a problem of understanding. He claims that we understand texts, cultural objects rather than a man. He considers understanding as a process of interpretation of linguistic expressions and cultural objects. The author observes two sides of the meaning of linguistic expressions: a general (or social) one, which is common in a certain language community, and a personal one, which defines personal understanding. It is argued that mutual understanding is possible only on the stage of general (...) meaning. However, the exchange of personal meanings is a very sophisticated process. (shrink)

The absence of a necessary connection in singular causation is a key step in the Humean argument against any form of necessity in causation. I argue that Hume's defence of this step is unsuccessful, and that the step could be skipped, accepting the possibility of necessary a posteriori truths. Still this does not suffice to guarantee a necessary connection in singular causation. Necessary a posteriori truths should be backed by necessary a priori truths. Thus, a main object of (...) this paper is to argue that an a priori philosophical concept of causality involves a necessary connection between its terms. (shrink)

The debate on universals is, generally speaking, a well-known subject in the history of philosophy, but views on universals from the end of the sixteenth to the mid-seventeenth century—the object of Heider’s welcome contribution—are quite neglected. Such views are extremely sophisticated, drawing on the established traditions of Thomism and Scotism, in particular, but bringing them to a new level of technicality. Heider investigates three major positions: those of Francisco Suárez, João Poinsot, and the joint position of Bartolomeo Mastri (...) and Bonaventura Belluto. The three views are chosen to.. (shrink)

This paper discusses and criticizes Segal’s 1989 argument against singular object-dependent thoughts. His argument aims at showing that object-dependent thoughts are explanatorily redundant. My criticism of Segal’s argument has two parts. First, I appeal to common anti-individualist arguments to the effect that Segal’s type of argument only succeeds in establishing that object-dependent thoughts are explanatorily redundant for those aspects of subjects’ behaviour that do not require reference to external objects. Secondly, Segal’s view on singular thoughts is at (...) odds with his view on the semantics of proper names, which favours the singularity and object-dependency of the truth-conditions of sentences in which they occur. In particular, his views are at odds with a position he holds, that truth-conditional semantics can adequately account for all aspects of speakers’ linguistic competence in the use of proper names. (shrink)

The aim of my dissertation is to investigate how universal concepts are formed according to the later medieval Franciscan theologian Peter Auriol (d. 1322). Specifically, in the dissertation I inquiry into the relation between Auriol's ontology - according to which only individuals, and not universals, have real, extra-mental existence - and his philosophical psychology, a study of how extra-mental particulars can give rise to universal concepts, according to Auriol's view. In the past academic year I refined the topic of (...) my PhD thesis in two ways : first, I have delineated the definitive table of content ; second, I have wrote down the results of my research. The thesis comprises two volumes. The second one contains a collation of Peter Auriol's,Reportatio II, d. 9, qq. 2 - 3. The text has been obtained by confronting two manuscripts, considered as the exemplars of the two main families that convey his Second Book of the Sentences: ms. Firenze, Biblioteca nazionale centrale, ms. conv. soppr. A.3.120 (Fb); (iii) il ms. Padova, Biblioteca Antoniana, ms. 161 scaff. IX (Pg). The first volume, instead, has been divided into five chapters: the first two offer a historical introduction, while the remaining three are dedicated to the study of Auriol's doctrine, starting from the analysis of the text proposed in the collation, then extending the investigation to all the documentary heritage available relating to the Franciscan master. The first chapter provides a survey of the main theories of the universals of the early fourteenth century, taking into account in particular the opinions of those thinkers who, like Duns Scotus, in addition to marking a philosophical era, have been significant for Auriol's developing of his theory of universals. These are: John Duns Scotus, Henry of Harclay, Walter Bulery and Hervaeus Natalis. In order to properly understand the philosophical proposal of the Doctor facundus, it is necessary to know how it fits into a debate that in the academic debate of the fourteenth century. The second chapter is mainly aimed at the identification of the sources of Rep. II, d. 9, qq. 2 - 3. In the quaestio secunda, Auriol deals with the foundation of the universals. In a.1, he discusses the opinion of multiwho he labels as 'platonic'. We tried, therefore, to detect the targets of his criticism. Burley, Wylton, Bacon, Duns Scotus have been identified as possible addresses. In a. 2 of the same question, Auriol analyzes the position of Duns Scotus on the common nature. It has been then hypothesized that the two articles - aa. 1-2 - has to be considered as a general presentation and specific case of it; as a thesis common to several forms of realism and the realism of one of its most important interpreters. The third chapter focuses Auriol's criticism of the different forms of realism reported in a. 1 and of Duns Scotus's theory, as it is found in a. 2. In both cases, Auriol reproaches the realists for breaking the unity of substance, into a multiplicity of formalitatesreally occurring in reand corresponding to the concepts of genus and difference. On the contrary, Auriol maintains that universal concepts have no unity in the extra-mental reality. Only individuals really exist and numerical unity the only fully existing unity. As a consequence, the unity of the universal concept is just similitudinaria,that is only given a concept. Successively, the criticisms that Auriol makes to the principle of individuation are considered. Generally speaking, everything that exists, insofar as it exists, is singular, according to him. It is a primitive fact and it is not, therefore, necessary to search for the causes of its individuation. Thus, mirroring the structure of the quaestio secunda, in q. 3, Auriol discusses, in the first place, Duns Scotus's position and secondly a group of theories, arisen during the scholastic debate between the end of the thirteenth and the beginning of the fourteenth century. Interestingly, to reconstruct this set of doctrines, Auriol follows almost literally the reconstruction that Scotus himself makes of the same theories in his Ordinatio. Now, relying on the assumption that everything that exists is individual, Auriol gives shape to the notions of individuality and singularity and their mutual difference. This is one of the hubs of the dissertation. According to Auriol, a singularity is an entity that does not admit the existence of other realities that can be considered as similar with it. In this sense, God is the only authentic singularity. Ordinary reality, on the other hand, is made up of individualities. An individuality is an entity that, being finite, does not exhaust in itself the totality of the species to which it belongs (as far as the species as such exists only in virtue of an act of the intellect), admits the existence of other realities conceivable as similar with it. Thus, inasmuch as reality is made up of individuals or individualities, the mind is able to form the corresponding universal concepts. Being finite, for Auriol, is the condition of the validity of universals. In this respect, the relation between the concept of individuality and that of singularity is taken into account. Subsequently, we analyze the function of the category of Quantity, as it is related to individuality. According to Auriol, Quantity has no individuating capacity. At most, in bodily substances, it functions as principle of distinction. Being, in fact, discrete realities, a material substance spatially ends where another one begins. The fourth chapter is a kind of juncture between the third one, in which the structure of the concrete individual is analyzed, and the fifth one, in which the cognitive side of the process of concept formation is discussed. What is discussed here are the rationes. According to Auriol, the rationesare the basic units that constitute the quiddity of each individual and serve to direct our thought to form certain concepts. Each concept is the concept of a ratio,indeed. In this respect, Auriol claims that, say, Socrates has the rationes substance, corporeality, sensitivity, rationality. Additionally, rationes of the same type occurring in different objects are "maximally similar" (simillimae). For example, the rationesof Socrates are utterly similar with those of Plato (Cf. Scriptum, d. 2, q. 1, a. 4). Therefore, although these rationes are non-universal characteristics - inasmuch as a ratio belongs to one and only one individual - due to their maximal similarity they do count as the extramental ground for our general concepts (Cf.II Sent., d. 9, q. 3, a. 1). According to these premises, Auriol can hold that different singulars can be mutually highly similar, without participating in the same common nature (Cf. II Sent., d. 9, q. 3, a. 3).At the same time, it is relevant to note these rationesdo not compromise the unity of an existing particular. Rather each ratiocoagulates into each other giving birth to the individual's ultimate ratio. This final ratiois an indivisible ratio (ratio atoma), which cannot be further specified or divided (II Sent., d. 9, q. 3). According to Auriol, then, the rationesqua rationesdo not exist in extra-mental reality. Rather, the exist as such only in virtue of an act of the intellect. This means that they have an ambiguous being. On the one hand, they indicate a nature that cannot be altered by the intellect. On the other, the need the mind's activity to exist as rationes. According to Auriol, therefore, the rationesare independent of any cognitive act, with regard to the content they express, while they depend on mind's activity with regard to their unity and their existence. Now, the opaqueness concerning the ontological consistency of rationesdirectly depends on Auriol's understanding of cognition. Chapter five mainly deals with the different stages of the process of formation of the universal concept. In this respect, the notion of impressiois what is firstly analyzed. The impressionescan be considered, for Auriol, as the rationesthat are 'deposited' in the intellect and constitute, in cooperation with the cognitive faculty, what the Franciscan theologian calls the actus intellectus. The intellectual act, according to Auriol, is an entity composed of the impressed similarity of the object and the intellectual power, in fact. Moreover, in his view, it is really identical to the intelligible species. Now, the identity that the Franciscan theologian establishes between these two noetic tools, which were traditionally considered as distinct, imposes a reinterpretation of the notion of species. Coinciding with the act, the species can no longer be considered as an entity juxtaposed to it, deputed to the activation of the cognitive process performed by the intellect. Indeed, all those theories of universal concepts that add other noetic tools to the act, be they a species, a quality, or something else, would necessarily compromise intellection, preventing it from having acquaintance with extra-mental reality. According to Auriol, considering intellectual cognition as a connotation allows us to avoid such inconveniences. According to this view, the intellectual cognition must be regarded as an activity that poses nothing but to allow something to appear to the cognizer. In this respect, the concept, for Auriol, is nothing but the real object qua appearingto the intellect, fully identical with the intellectual act in recto,while denominatively distinct in obliquo. In this perspective, the definition of intellection that the Franciscan theologian proposes is analyzed, trying, in particular, to determine the ontological status of the concept and its epistemological function. In conclusion, with this study we have tried to give an account of Auriol's philosophical attitude, of the scope of his theory of universals, focusing on the relationship between ontology and philosophical psychology. Using Auriol's texts and specifically the collation of Rep. II, d. 9, qq. 2 - 3, the answers to these questions were searched for in the words of the Franciscan theologian himself. The picture emerged is that of an autonomous, critical thinker, but perfectly inserted in the historical context in which he lives. A thinker who places himself, so to speak, halfway between Duns Scotus's realism and Ockham's nominalism, nevertheless succeeding, albeit with some opacity, in balancing an ontology in which the metaphysical priority is granted only to the individual and the universal concepts have a solid foundation and validity. (shrink)

Tim Crane (2011) characterizes the cognitive role of singular thought via singular mental files: the application of such files to more than one object is senseless. As many do, he thus stresses the contrast between ‘singular’ and ‘general’. I give a counterexample, plurally-directed singular thought, and I offer alternative characterizations of singular thought—better described as ‘objects-directed thought’—initially in terms of the defeasibility of the descriptions associated with one's thinking of an object, and then more (...) broadly in terms of whether descriptions of the object or description-independent epistemic routes to the object are primarily operative in an agent's thinking. (shrink)

This book presents and defends a large number of theses in ontology and meta-ontology. The meta-ontological theses are broadly Quinean: that existence or being is what is expressed by the existential quantifier of formal logic; that the variables the quantifiers bind are essentially third-person-singular pronouns; that the “ontological commitments” of a person or theory are best revealed when the sentences of the person or theory are translated into the quantifier-variable idiom. Much of the book is devoted to ontological, as (...) opposed to meta-ontological, questions: Are there things that do not exist—or even things that have no sort of being whatever? Are there universals—or, more generally, abstract objects? What sort of thing is a property (quality, attribute…)? What are the ontological commitments of modal discourse? Are there possible worlds? If there are, do some of them contain “non-actual” individuals? (The meta-ontology severely constrains the ontology. For example, a non-actual but possible individual is an individual thing that might exist but does not. Therefore, non-actual individuals do not exist. That is to say, there aren’t any.) The book closes with the presentation and defense of an ontology consistent with everything said in the earlier parts of the book. The central thesis of this ontology is that everything belongs to one of two ontological categories, substance and relation. Relations are universals, and propositions are special kinds of relation. Special consideration is given to the absence of sets from the ontology. (shrink)

In philosophy, “singular thought” refers to our capacity to represent entities as individuals, rather than as possessors of properties. Philosophers who defend singularism argue that perception allows us to mentally latch onto objects and persons directly, without conceptualizing them as being of a certain sort. Singularists assume that singular thought forms a unified psychological kind, regardless of the nature of the individuals represented. Empirical findings on the special psychological role of persons as opposed to inanimates threaten singularism. (...) They raise the possibility that tracking individuals specifically as persons might require conceptualizing them in certain ways, for example, as persons. In this paper, we take such a possibility seriously but ultimately reject it. Instead, we propose to revise a prominent singularist theory, the theory of mental files, in order to accommodate data on the psychological distinctiveness of persons: We advocate the postulation of perceptual person-files. Perceptual tracking via person-files is different from object-tracking but also from descriptive classification under the sortal concept PERSON. (shrink)

Natural languages vary in their quantity expressions, but the variation seems to be constrained by general properties, so-calleduniversals. Their explanations have been sought among constraints of human cognition, communication, complexity, and pragmatics. In this article, we apply a state-of-the-art language coordination model to the semantic domain of quantities to examine whether two quantity universals—monotonicity and convexity—arise as a result of coordination. Assuming precise number perception by the agents, we evolve communicatively usable quantity terminologies in two separate conditions: a numeric-based (...) condition in which agents communicate about a number of objects and a quotient-based condition in which agents communicate about the proportions. We find out that both universals take off in all conditions but only convexity almost entirely dominates the emergent languages. Additionally, we examine whether the perceptual constraints of the agents can contribute to the further development of universals. We compare the degrees of convexity and monotonicity of languages evolving in populations of agents with precise and approximate number sense. The results suggest that approximate number sense significantly reinforces monotonicity and leads to further enhancement of convexity. Last but not least, we show that the properties of the evolved quantifiers match certain invariance properties from generalized quantifier theory. (shrink)

In an essay published in 1918, Walter Benjamin sets forth a task that will concern him for the rest of his life: The task of a future epistemology is to find for knowledge the sphere of total neutr...

In this book I address a dichotomy that is as central as any in ontology - that between ordinary objects or substances and the various attributes (Le., properties, kinds, and relations) we associate with them. My aim is to arrive at the correct philosophical account of each member of the dichotomy. What I shall argue is that the various attempts to understand substances or attri butes in reductive terms fail. Talk about attributes, I shall try to show, is just (...) that - talk about attributes; and, likewise, talk about substances is just tha- talk about substances. The result is what many will find a strange combina tion of views - a Platonistic theory of attributes, where attributes are univer sals or multiply exemplifiable entities whose existence is independent of "the world of flux", and an Aristotelian theory of substance, where substances are basic unities not reducible to metaphysically more fundamental kinds of things. Part One is concerned with the ontology of attributes. After distinguishing three different patterns of metaphysical thinking about attributes, I examine, in turn, the phenomena of predication, resemblance, and higher order quanti fication. I argue that none of these phenomena by itself is sufficient to establish the inescapability of a Platonistic interpretation of attributes. Then, I discuss the phenomenon of abstract reference as it is exhibited in the use of abstract singular terms. (shrink)

Perceptual experiences seem to in some sense have singular contents. For example, a perceptual experience of a dog as fluffy seems to represent some particular dog as being fluffy. There are important phenomenological, intuitive, and semantic considerations for thinking that perceptual experiences represent singular contents, but there are also important phenomenological, epistemic, and metaphysical considerations for thinking that they do not. This paper proposes a two-tier picture of the content of singular perceptual experiences that is based on (...) phenomenal intentionality theories of intentionality combined with self-ascriptivism about derived representation, a combination of views that allows mental states to have two types of contents: phenomenal contents and derived contents. On the proposed picture, singular perceptual experiences represent singular phenomenal contents, which do not involve worldly objects, as well as singular derived contents, which do involve worldly objects. This picture accommodates and reconciles the considerations for and against thinking that perceptual experiences have singular contents. (shrink)

This article compares the ability to track individuals lacking mental states with the ability to track intentional agents. It explains why reference to individuals raises the problem of explaining how cognitive agents track unique individuals and in what sense reference is based on procedures of perceptual-motor and epistemic tracking. We suggest applying the notion of singular-files from theories in perception and semantics to the problem of tracking intentional agents. In order to elucidate the nature of agent-files, three views of (...) the relation between object- and agent-tracking are distinguished: the Independence, Deflationary and Organism-Dependence Views. The correct view is argued to be the latter, which states that perceptual and epistemic tracking of a unique human organism requires tracking both its spatio-temporal object-properties and its agent-properties. (shrink)

This work in metaphysics adheres to the critical demands of Immanuel Kant for what Kant would call a science of metaphysics, in that it consits strictly of a priori principles that, while from pure reason, can help make sense of our phenomenal world (Kant's criterion for objective validity). The work has an Appendix quoting Kant's most relevant remarks with regard to a science, and offers parallel quotes from David Hume's "Treatise of Human Nature". The work advances the explanation of a (...) causal process that accounts for the origination of the universals: space, time, mass (or substance), and mind (or consciousness), and it necessitates the existence of God as Absolute Being and Absolute Mind. Hegel's 'Science of Logic' is quoted wherein Hegel makes an analogous claim. The causal process is defined with both a definite beginning and a definite end and agreement can be found with the statement found in the book of Revelation, final chapter: "I am the Alpha and the Omega, the first and the last, the beginning and the end." The statement suggests a movement that is not in conflict with the science, and seems to reflect Hegel's own thoughts. The science does not conflict with, but it further finds agreement with the science of big bang cosmology, but it goes further in necessitating a 'singularity' at the beginning of time. The causal process defined has a Formative Phase and a Creative Phase, with the former preceding the big bang and the latter following after the big bang. (shrink)

In order to avoid the reduction of desire to demand and to produce a theory in keeping with the insights of psychoanalysis, Lacan had to move beyond Hegel’s theorization based on recognition. To do so, Lacan had to come up with a new form of object, an object irreducible to the signifier but with the power to arouse the desire of the subject. The theorization of the objet a enables Lacan to make an important advance on Hegel’s theory of desire, (...) an advance that effectively reverses the priority that Hegel establishes between the object and the Other. Despite the widespread association of Lacan with the signifier and its laws, his one great theoretical breakthrough concerns what remains absolutely irreducible to signification. My central contention in this essay is that Lacan’s theory of desire allows us to understand how singularity appears in the cinema, despite the medium’s inherent resistance to it. I examine this appearance of singularity through two filmic occasions—Sergei Eisenstein’s Battleship Potemkin and Michael Mann’s Heat. It is a medium in which recognition predominates, and yet the singularity of the objet a nonetheless emerges and animates the desire of the spectator. (shrink)

This paper is about the Descriptivism/Singularism debate, which has loomed large in 20-century philosophy of language and mind. My aim is to defend Singularism by showing, first, that it is a better and more promising view than even the most sophisticated versions of Descriptivism, and second, that the recent objections to Singularism (based on a dismissal of the acquaintance constraint on singular thought) miss their target.

Immanent universals, being wholly present wherever they are instantiated, are capable of both multi-location and co-location. As a result, they can become involved in some bizarre situations, situations whose contradictory appearance cannot be dispelled by any of the relativizing maneuvers familiar to metaphysicials as solutions to the problem of change. Douglas Ehring takes this to be a fatal problem for immanent universals, but I do not. Although the old relativizing maneuvers don't solve the problem, I propose a new (...) one that does. I spend half the paper defending the proposed solution against objections, and in the course of this task I touch upon such topics as backward time travel and the distinction between universals and particulars. I close by putting forward -- merely as an option -- a new way to draw the distinction in question. (shrink)

Higher animals need to identify and track material objects because they depend on interactions with them for nutrition, reproduction, and social interaction. This paper investigates the perception of material objects. It argues, first, that material objects are tagged, in all five external senses, as bearers of the features detected by them. This happens through a perceptual process, here entitled Generalized Completion, which creates the appearance of objects that have properties that transcend the activation of sensory receptors. (...) The paper shows, secondly, that material objects are privileged subjects for perceived motion and interaction. That is, they are perceived as subjects for these properties while their parts seem to be subjects only derivatively. Material objects are the only perceptual subjects that are both multisensory and privileged. (shrink)

I offer a mereological bundle of universals theory of material objects. The theory says that objects are identical to fusions of immanent universals at regions of space. Immanent universals are in the objects that instantiate them, and they can be wholly located at many regions of space. The version of the bundle theory I offer explains these characteristics of immanent universals, and it captures the instantiation relation in terms of the part-whole relation. The (...) version of the theory I offer is simpler and more unified than other mereological bundle theories. Yet, it is not as encompassing as other versions. For I suppose throughout that space is a particular substance, but not a bundle of properties. (shrink)

"What is a military aircraft? John Law shows in his beautiful analysis that it is a constant oscillation between multiplicity and singularity.

Mental files, in Recanati's framework, function as 'singular terms in the language of thought' ; they serve to think about objects in the world (and to store information about them). But they have a derived, metarepresentational function : they serve to represent how other subjects think about objects in the world. To account for the metarepresentational use of files, Recanati introduces the notion of an 'indexed file', i.e. a vicarious file that stands, in the subject's mind, for (...) another subject's file about an object. Using that notion, he argues, one can provide an analysis of attitude ascriptions and the conniving use of empty singular terms. (shrink)

This essay uses a mental files theory of singular thought—a theory saying that singular thought about and reference to a particular object requires possession of a mental store of information taken to be about that object—to explain how we could have such thoughts about abstract mathematical objects. After showing why we should want an explanation of this I argue that none of three main contemporary mental files theories of singular thought—acquaintance theory, semantic instrumentalism, and semantic cognitivism—can (...) give it. I argue for two claims intended to advance our understanding of singular thought about mathematical abstracta. First, that the conditions for possession of a file for an abstract mathematical object are the same as the conditions for possessing a file for an object perceived in the past—namely, that the agent retains information about the object. Thus insofar as we are able to have memory-based files for objects perceived in the past, we ought to be able to have files for abstract mathematical objects too. Second, at least one recently articulated condition on a file’s being a device for singular thought—that it be capable of surviving a certain kind of change in the information it contains—can be satisfied by files for abstract mathematical objects. (shrink)

Kant's distinction between intuitive and discursive knowledge precludes his giving intuitions linguistic representation. Singular terms represent concepts given what kant calls a 'singular use' and are analyzable as definite descriptions. That the object described exists and that there is only one such object can be given linguistic representation only through an explicit assertion of existence and uniqueness. As an intuitionist in mathematics kant holds that mathematics proclaims the constructibility and not the existence of its objects.

It is widely accepted that, in the course of interpreting a metaphorical utterance, both literal and metaphorical interpretations of the utterance are available to the interpreter, although there may be disagreement about the order in which these interpretations are accessed. I call this the dual availability assumption. I argue that it does not apply in cases of metaphorical singular reference. These are cases in which proper names, complex demonstratives or definite descriptions are used metaphorically; e.g., ‘That festering sore must (...) go’, referring to a derelict house. We are forced to give up dual availability in these cases because a process of predicate transfer happens in the restriction clauses of such metaphorically used definite phrases, so that a denotation-less definite concept is never constructed. A process of enriched composition yields only a metaphorical referent/denotation. I compare cases of metaphorical reference both to cases of metonymic reference and to uses of epithets of the ‘That N of an N’ form. Reflection on the former is helpful in getting clear about the kind of property transfer involved in referential metaphors. Such transfer happens directly at the level of properties and is not mediated via a correspondence between objects, as is the case with metonymic reference. Reflection on epithets such as ‘that festering sore of a house’ is helpful since these are a sort of intermediate case between cases of literal and metaphorical reference. They provide support for my claim that in cases of metaphorical reference there is only a single referent. Moreover, constraints on the use of these epithets suggest that referential metaphors are similarly constrained. In particular, I argue that referential metaphors can only be used when the implicit category restriction is highly salient, and that the evaluative information conveyed by the metaphor serves primarily to indicate the speaker’s attitude towards the referent rather than being intended to help the hearer identify the referent. (shrink)

This essay uses a mental files theory of singular thought—a theory saying that singular thought about and reference to a particular object requires possession of a mental store of information taken to be about that object—to explain how we could have such thoughts about abstract mathematical objects. After showing why we should want an explanation of this I argue that none of three main contemporary mental files theories of singular thought—acquaintance theory, semantic instrumentalism, and semantic cognitivism—can (...) give it. I argue for two claims intended to advance our understanding of singular thought about mathematical abstracta. First, that the conditions for possession of a file for an abstract mathematical object are the same as the conditions for possessing a file for an object perceived in the past—namely, that the agent retains information about the object. Thus insofar as we are able to have memory-based files for objects perceived in the past, we ought to be able to have files for abstract mathematical objects too. Second, at least one recently articulated condition on a file’s being a device for singular thought—that it be capable of surviving a certain kind of change in the information it contains—can be satisfied by files for abstract mathematical objects. (shrink)

A picture of the world as chiefly one of discrete objects, distributed in space and time, has sometimes seemed compelling. It is however one of the main targets of Henry Laycock's book; for it is seriously incomplete. The picture, he argues, leaves no space for "stuff" like air and water. With discrete objects, we may always ask "how many?," but with stuff the question has to be "how much?" Laycock's fascinating exploration also addresses key logical and linguistic questions (...) about the way we categorize the many and the much. (shrink)

It is said that when Socrates is made to ask questions like "What is the pious and what the impious?", "What is courage?", or "What is the beautiful?", he is asking for the definition of a universal. For the "average" Greek of his time, however, this is a radically new question about a radically new sort of object, and Socrates’ interlocutors do not understand it. They usually answer it as if it were a different, if related, question: they tend to (...) provide concrete instances of the universal in question rather than a definition, however inadequate, of the universal itself. Socrates always tries, but does not always succeed, to make himself clear: Meno, for example, is supposed never to get the point. (shrink)

It is argued that causal understanding originates in experiences of acting on objects. Such experiences have consistent features that can be used as clues to causal identification and judgment. These are singular clues, meaning that they can be detected in single instances. A catalog of 14 singular clues is proposed. The clues function as heuristics for generating causal judgments under uncertainty and are a pervasive source of bias in causal judgment. More sophisticated clues such as mechanism clues (...) and repeated interventions are derived from the 14. Research on the use of empirical information and conditional probabilities to identify causes has used scenarios in which several of the clues are present, and the use of empirical association information for causal judgment depends on the presence of singular clues. It is the singular clues and their origin that are basic to causal understanding, not multiple instance clues such as empirical association, contingency, and conditional probabilities. (shrink)

What is required for an individual to entertain a singular thought about an object they have encountered before but that is currently no longer within their perceptual range? More specifically, does the individual have to think about the object as having been encountered in the past? I consider this question against the background of the assumption that non-human animals are cognitively ‘stuck in the present’. Does this mean that, for them, ‘out of sight is out of mind’, as, e.g., (...) Schopenhauer seems to have thought? I suggest an alternative answer, also drawing on some empirical work on animal cognition. (shrink)

A phenomenalist philosophy which employs the Principle of Acquaintance (PA) plus the Principle that what exists are the referents of certain meaningful terms, defined by PA, cannot include either universals or particulars in its ontology, but is limited to instances of universals as constituting the range of ontological existents. Universals must be omitted since they are repeatable and, hence, never wholly presented or contained, whereas the objects of direct acquaintance are wholly and exhaustively presented. Furthermore, no (...) entities beyond characters (qualities and relations) are given in direct acquaintance; hence, particulars, too, must be omitted for the phenomenalist who relies on PA. (shrink)

We argue that Recanati burdens his otherwise salutary “Mental File” account of singular thought with an “Actualist” assumption that he has inherited from the discussion of singular thought since at least Evans, according to which singular thoughts can only be about actual objects: apparent singular thoughts involving “empty” terms lack truth-valuable content. This assumption flies in the face of manifestly singular thoughts involving not only fictional and mistakenly postulated entities, such as Zeus and the (...) planet Vulcan, but also “perceptual inexistents,” e.g., Kanizsa figures, rainbows, words and phonemes, as well as hosts of at best metaphysically problematic “objects,” such as properties, numbers, ceremonies, contracts, symphonies, “the sky,” “the rain.” Indeed, reflection on what seems to be the boundless diversity of “things” about which we seem to be able to have singular thoughts strongly suggests that there may be no general metaphysics of objects, much less “acquaintance” and “epistemically rewarding” relations that would distinguish singular from non-singular thought. We recommend that Recanati and other mental file theorists confine the theory to a metaphysically neutral account of singular thought as specific kind of internally “focused” computational state, and not seek any general account of the relation of thought to reality. (shrink)

Things are particulars and their qualities are universals, but do universals have an existence distinct from the particular things describable by those terms? And what must be their nature if they do? This book provides a careful and assured survey of the central issues of debate surrounding universals, in particular those issues that have been a crucial part of the emergence of contemporary analytic ontology. The book begins with a taxonomy of extreme nominalist, moderate nominalist, and realist (...) positions on properties, and outlines the way each handles the phenomena of predication, resemblance, and abstract reference. The debate about properties and philosophical naturalism is also examined. Different forms of extreme nominalism, moderate nominalism, and minimalist realism are critiqued. Later chapters defend a traditional realist view of universals and examine the objections to realism from various infinite regresses, the difficulties in stating identity conditions for properties, and problems with realist accounts of knowledge of abstract objects. In addition, the debate between Platonists and Aristotelians is examined alongside a discussion of the relationship between properties and an adequate theory of existence. The book's final chapter explores the problem of individuating particulars. The book makes accessible a difficult topic without blunting the sophistication of argument required by a more advanced readership. (shrink)

Apart from his Consolation of Philosophy, perhaps the most well known text of Boethius is his discussion of universals in the Second Commentary on Porphyry’s Isagoge.1 In that passage, he first reviews the arguments for and against the existence of universal entities, and then offers a theory he attributes to Alexander of Aphrodisias, a kind of theory called in recent times “moderate realism,” according to which there are no universal entities in the ontology of the world, but nevertheless there (...) is an objective, non-arbitrary basis for the formation of our universal or general concepts about that world. At the very end of the passage, Boethius adds the intriguing comment that he has presented this view not necessarily because it is his own, but because it is the one that fits Aristotle’s.. (shrink)

There can be few other uses in the Latin language which afford us so great an insight into the mental attitude of a writer at the moment of his writing, or which endow writing with so much of that personal colour which the voice alone gives in perfection, as does the singular use of the pronoun nos. All forms of this word which occur in the speeches of individuals, who are at the moment speaking independently, are either wholly (...) class='Hi'>singular uses, or partly plural uses with more or less justification for the plural form according to the extent to which the speaker is identifying himself with his surroundings. Thus we find all degrees of plurality in such forms, and it is those instances in which the plural form can be least definitely justified which we call ‘singular’ or ‘unreal plural’ uses, and which prove to be the most fascinating from a psychological point of view. The object of the present essay is to inquire how far the varieties of meaning in the singular use of nos, which Professor R. S. Conway has pointed out in Cicero, appear also in Vergil. (shrink)

FRANCISCO SUÁREZ, THE GREAT JESUIT PHILOSOPHER AND THEOLOGIAN, has long been recognized as a pivotal figure in the development of Western philosophy. His thought is heavily indebted to the medieval philosophical tradition but also bears striking intimations of key themes in modern thought. In this paper I address one of the most controversial questions related to the thought of Suárez, namely, his relationship to the nominalist tradition. However, I shall do so rather indirectly by focusing not on explicit metaphysical questions (...) but rather on his account of our acquisition of universal concepts and its foundation in reality. By placing questions about the knowledge of singular and universal at the center of the discussion, I hope to shed new light on his account of the objectivity that we can have in our knowledge. (shrink)

Universals are putative objects like wisdom, morality, redness, etc. Although we believe in properties (which, we argue, are not a kind of object), we do not believe in universals. However, a number of ordinary, natural language constructions seem to commit us to their existence. In this paper, we provide a fictionalist theory of universals, which allows us to speak as if universals existed, whilst denying that any really do.

A singular thought about an object o is one that is directly about o in a characteristic way—grasp of that thought requires having some special epistemic relation to the object o, and the thought is ontologically dependent on o. One account of the nature of singular thought exploits a Russellian Structured Account of Propositions, according to which contents are represented by means of structured n-tuples of objects, properties, and functions. A proposition is singular, according to this (...) framework, if and only if it contains an object as a constituent. One advantage of the framework of Russellian Structured propositions is that it promises to provide a metaphysical basis for the notion of a singular thought about an object, grounding it in terms of constituency. In this paper, we argue that the attempt to ground the peculiar features of singular thoughts in terms of metaphysical constituency fails, and draw some consequences of our discussion for other debates. (shrink)

Universals have traditionally thought to obey the identity of indiscernibles, that is, it has traditionally been thought that there can be no perfectly similar universals. But at least in the conception of universals as immanent, there is nothing that rules out there being indiscernible universals. In this paper, I shall argue that there is useful work indiscernible universals can do, and so there might be reason to postulate indiscernible universals. In particular, I shall argue (...) that postulating indiscernible universals can allow a theory of universals to identify particulars with bundles of universals, and that postulating indiscernible universals can allow a theory of universals to develop an account of the resemblance of quantitative universals that avoids the objections that Armstrong’s account faces. Finally, I shall respond to some objections and I shall undermine the criterion of distinction between particulars and universals that says that the distinction between particulars and universals lies in that while there can be indiscernible particulars, there cannot be indiscernible universals. (shrink)

My dissertation consists of three essays in the Metaphysics of Modality: In "A Puzzle about Truth and Singular Propositions," I consider two theses that seem to be true and then an argument for the conclusion that they form an inconsistent pair. One thesis is that a proposition that is singular with respect to a given object implies that the object exists. This is so because the proposition predicates something of the object. The other thesis is that some propositions (...) are true with respect to possible worlds in which they do not exist. An example is the negation of the proposition that Socrates is wise. This proposition is true with respect to possible worlds in which Socrates does not exist, but it does not exist in those worlds. ;In "Actualism, Ontological Dependence, and Possible Worlds," I consider Actualism, the doctrine that every possible object is an actual object. Plantinga has argued that the actualist is committed to the existence of unexemplified essences if he analyzes statements of modality by quantifying over possible worlds and over members of their domains. I argue that the actualist is committed to the existence of unexemplified essences even if he paraphrases statements of modality by quantifying only over possible worlds and actual objects. ;In "Possibilism and the Nature of Actuality," I consider Possibilism, the doctrine that there are possible objects that are not actual objects. Possibilism seems to be a coherent ontological doctrine. It is not Meinong's doctrine that there are objects of which it is true to say that there are no such objects. If one fails to distinguish between these two doctrines, then one's attempt to refute Possibilism might amount to an attack on a blatant contradiction. I illustrate this claim by arguing that the distinction between Possibilism and Meinong's doctrine has eluded Plantinga. I then consider the view that Possibilism is a consequence of Lewis's doctrine that 'actual' is an indexical term. I also argue that the sense in which Lewis said that 'actual' is indexical is an esoteric sense of the word, not a sense it ordinarily has. (shrink)

Universals have traditionally thought to obey the identity of indiscernibles, that is, it has traditionally been thought that there can be no perfectly similar universals. But at least in the conception of universals as immanent, there is nothing that rules out there being indiscernible universals. In this paper, I shall argue that there is useful work indiscernible universals can do, and so there might be reason to postulate indiscernible universals. In particular, I shall argue (...) that postulating indiscernible universals can allow a theory of universals to identify particulars with bundles of universals, and that postulating indiscernible universals can allow a theory of universals to develop an account of the resemblance of quantitative universals that avoids the objections that Armstrong’s account faces. Finally, I shall respond to some objections and I shall undermine the criterion of distinction between particulars and universals that says that the distinction between particulars and universals lies in that while there can be indiscernible particulars, there cannot be indiscernible universals. (shrink)

Universals have traditionally thought to obey the identity of indiscernibles, that is, it has traditionally been thought that there can be no perfectly similar universals. But at least in the conception of universals as immanent, there is nothing that rules out there being indiscernible universals. In this paper, I shall argue that there is useful work indiscernible universals can do, and so there might be reason to postulate indiscernible universals. In particular, I shall argue (...) that postulating indiscernible universals can allow a theory of universals to identify particulars with bundles of universals, and that postulating indiscernible universals can allow a theory of universals to develop an account of the resemblance of quantitative universals that avoids the objections that Armstrong’s account faces. Finally, I shall respond to some objections and I shall undermine the criterion of distinction between particulars and universals that says that the distinction between particulars and universals lies in that while there can be indiscernible particulars, there cannot be indiscernible universals. (shrink)

Contrary to a common assumption, I argue that there is full agreement between East and West on the issue of the relation between the divine essence and the divine persons. I defend this claim by using the understanding of universals found in D. M. Armstrong to cast light on the theories. Taking Gregory of Nyssa and John of Damascus as representatives of the Eastern tradition, I show that this tradition sees the divine essence as a numerically singular object (...) that is wholly present in each divine person. The Eastern tradition explicitly sees this object as a universal. The Western tradition – exemplified in Augustine and Aquinas – likewise sees the divine essence as a numerically singular object that is wholly present in each divine person. But this tradition customarily denies that such an object could be a universal, on the merely philosophical grounds that universals are divided amongst the particulars that share them, and thus cannot be numerically one. Having shown the fundamental consonance of the two traditions, I argue by way of conclusion that differences between social and non–social theories of the Trinity depend entirely on the nature and extent of the features that are supposed to distinguish the persons from each other. (shrink)