Today it would be considered "bad Platonic metaphysics" to think that among all the concrete instances of a property there could be a universal instance so that all instances had the property by virtue of participating in that concrete universal. Yet there is a mathematical theory, category theory, dating from the mid-20th century that shows how to precisely model concrete universals within the "Platonic Heaven" of mathematics. This paper, written for the philosophical logician, develops this category-theoretic (...) treatment of concrete universals along with a new concept to abstractly model the functions of a brain. (shrink)

This book addresses the metaphysics of Armstrongian states of affairs, i.e. instantiations of naturalist universals by particulars. The author argues that states of affairs are the best candidate for truthmakers and, in the spirit of logical atomism, that we need no molecular truthmakers for positive truths. In the book's context, this has the pleasing result that there are no molecular states of affairs. Following this account of truthmaking, the author first shows that the particulars in (first-order) states of affairs (...) are bare particulars. He then argues that the properties in states of affairs are simple, non-relational and concrete universals. Next, he argues that (material) relations in states of affairs are external relations. Lastly, he argues that a state of affairs is unified by a distinctive formal relation without giving rise to Bradley’s regress. (shrink)

This paper shows how the universals of category theory in mathematics provide a model (in the Platonic Heaven of mathematics) for the self-predicative strand of Plato's Theory of Forms as well as for the idea of a "concrete universal" in Hegel and similar ideas of paradigmatic exemplars in ordinary thought. The paper also shows how the always-self-predicative universals of category theory provide the "opposite bookend" to the never-self-predicative universals of iterative set theory and thus that the (...) paradoxes arose from having one theory (e.g., Frege's Paradise) where universals could be either self-predicative or non-self-predicative (instead of being always one or always the other). (shrink)

Instead of the half-century old foundational feud between set theory and category theory, this paper argues that they are theories about two different complementary types of universals. The set-theoretic antinomies forced naïve set theory to be reformulated using some iterative notion of a set so that a set would always have higher type or rank than its members. Then the universal u_{F}={x|F(x)} for a property F() could never be self-predicative in the sense of u_{F}∈u_{F}. But the mathematical theory of (...) categories, dating from the mid-twentieth century, includes a theory of always-self-predicative universals--which can be seen as forming the "other bookend" to the never-self-predicative universals of set theory. The self-predicative universals of category theory show that the problem in the antinomies was not self-predication per se, but negated self-predication. They also provide a model (in the Platonic Heaven of mathematics) for the self-predicative strand of Plato's Theory of Forms as well as for the idea of a "concrete universal" in Hegel and similar ideas of paradigmatic exemplars in ordinary thought. (shrink)

It is often believed that the only alternative to an idealist conception of natural phenomena excludes both the presence of objective universal forms and their progression towards higher forms as the finality of processes in the natural world. Realism regarding the universal and teleological approaches regarding processes are signs of idealism. Therefore, materialism, it would seem, must conform to a nominalist and mechanical view of nature. However, an intelligent materialist reading of idealism’s classics reveals a more complex scenario. A real (...) fact is expressed in a mystical fashion in idealism’s conceptions of objective universals and teleology. This article attempts to show such a real fact in its authentic (materialist) form. With that goal in mind, the present article discusses the notion of nature’s alienation, the distinction between abstract and concrete universals, and the concept of dialectical interaction. The natural-historical emergence of a higher form of matter’s organization assimilates, as its organs, the conditions that preceded it in time, transforming itself into an active producer of such conditions. That is the secret glimpsed but not correctly understood by idealism that a consistent materialist should not ignore. (shrink)

This chapter considers the ‘hosting question’ of how immanent universals, in contrast to transcendent universals, are ‘brought down to earth’ from ‘Plato’s heaven’. It explores the thesis that the hosting amounts to their being constituents of the states of affairs that result from their instantiations. These states of affairs are concrete complexes consisting of particulars and universals, and perhaps something that links them together. The traditional view that immanent universals are concrete is briefly defended (...) against a recent prominent objection. On relationalism, states of affairs are unified by a relation of some sort; on non-relationalism they are unified non-relationally. Roughly, these two conceptions of states of affairs are equivalent to Armstrong’s relational and non-relational versions of immanent realism, respectively. Armstrong mostly criticises the former and defends the latter. It is argued, however, that relationalism, at least potentially, answers the hosting question, whereas non-relationalism realism does not. (shrink)

We argue that if one wishes to be a realist, one should adopt a Neo-Aristotelian ontology involving tropes instead of a Russellian ontology of property universals and objects. Either Russellian realists should adopt the relata-specific relational tropes of instantiation instead of facts, or convert to Neo-Aristotelian realism with monadic tropes. Regarding Neo-Aristotelian realism, we have two novel points why it fares better than Russellian realism. Instantiation of property universals by tropes and characterization or inherence between tropes and objects (...) are more transparent ontological notions than relational inherence, which is assumed in Russellian realism with the relational tropes of instantiation. Neo-Aristotelian realism makes better sense about abstract universals, which are a more viable option than concrete universals. (shrink)

I provide a distinctively Wittgensteinian interpretation of Hegel’s Subjective Logic, including the parts on the concept, the judgement and the syllogism. I argue that Wittgenstein implicitly recognised the moments of universality, particularity and individuality; moreover, he was sensitive to Hegel’s crucial distinction between abstract and concrete universals. More specifically, for Wittgenstein the moment of particularity has the status of a paradigmatic sample which mediates between a universal concept and its individual instances. Thus, a concrete universal is a (...) universal that includes every individual via its paradigmatic sample. Next, I provide a generic account of the emergence of concrete universals through a series of negations that follows the basic structure of Hegel’s judgement—“the individual is the universal”—and the syllogism—“the individual is the universal mediated by the particular”. This development is illustrated with examples from Hegel (a plant, Socrates, Caesar, a Stoic sage, Jesus) as well as from Wittgenstein (colour samples, the standard metre, works of art). I take Wittgenstein’s argument against private language as implying that we cannot do without paradigms in our epistemic practices. If the conclusion of the section “Subjectivity” in Hegel’s Science of Logic is that the moment of particularity cannot be ignored or dispensed with, then it would mean that we cannot do without paradigms in our epistemic practices: that is, that private rules are impossible. (shrink)

In this paper, I develop a theory on which each of a thing’s abundant properties is immanent in that thing. On the version of the theory I will propose, universals are abundant, each instantiated universal is immanent, and each uninstantiated universal is such that it could have been instantiated, in which case it would have been immanent. After setting out the theory, I will defend it from David Lewis’s argument that such a combination of immanence and abundance is absurd. (...) I will then advocate the theory on the grounds that it accomplishes all of Lewis’s “new work” while providing a gain in parsimony and a new account of fine-grained content. I will close with a discussion of how the theory also affords a new reply to two objections to uninstantiated universals: Armstrong’s charge that they are inconsistent with naturalism, and a Benacerraf-Field-style objection about epistemic access. (shrink)

Trope theory is a leading metaphysical theory in analytic ontology. One of its classic statements is found in the work of Donald C. Williams who argued that tropes qua abstract particulars are the very alphabet of being. The concept of an abstract particular has been repeatedly attacked in the literature. Opponents and proponents of trope theory alike have levelled their criticisms at the abstractness of tropes and the associated act of abstraction. In this paper I defend the concept of a (...) trope qua abstract particular by rejecting arguments that purport to show that tropes should not be understood as abstract and by arguing that the abstractness of tropes plays an indispensable role in one of our more promising trope-theoretic analyses of universals and of concrete objects. (shrink)

Trope theory is the view that the world consists (wholly or partly) of particular qualities, or tropes. This admittedly thin core assumption leaves plenty of room for variation. Still, most trope theorists agree that their theory is best developed as a one-category theory according to which there is nothing but tropes. Most hold that ‘sameness of property’ should be explained in terms of resembling tropes. And most hold that concrete particulars are made up from tropes in compresence (for an (...) overview, including an introduction to some alternative versions of the view, cf. Maurin, 2014). D. M. Armstrong disagrees. He thinks the world is a world of immanent universals, the thin particulars in which those universals are instantiated, and the states of affairs that—thereby—exist. He holds that ‘sameness of property’ should be explained in terms of numerically identical universals or—if the resembling things are the universals themselves—in terms of partially identical universals. And he believes that concrete particulars are made up from ‘thin particulars’ in which a (sufficient) number of universals are instantiated. In spite of their disagreements, proponents of tropes owe Armstrong a debt of gratitude. First, for being one of the theory’s earliest, most serious, and—not least—most prominent, critics (Armstrong for the first time considers, and rejects, what he then labels ‘particularism’, in his 1978a). But also for being one of the theory’s most ardent champions. Already in his 1989a, Armstrong regrets his 1978-rejection of the view. Equivalence classes of exactly resembling tropes, he now admits, for most purposes “serve as an excellent substitute for universals” (Armstrong 1989a, 122). But then why isn’t Armstrong a trope theorist? In this paper, Armstrong’s main reasons for rejecting the trope view are critically scrutinized. All of them, it is maintained, fail to convince. If this argument is accepted, Armstrong seems to have no—or, at least, no good—reason for not accepting the existence of tropes. But, then, ought Armstrong to have been a trope theorist? If the ‘best’ version of the trope view turns out to be ontologically more parsimonious than Armstrong’s own theory of universals, then, yes. That there is a version of the trope view, a version that is not (or, at least not seriously) considered by Armstrong, that is ontologically more parsimonious than the universals view, is argued in the next section. Why none of Armstrong’s reasons for preferring universals to tropes manage to convince, is explained in the section after that. First, however, and in order to avoid a common misunderstanding of the trope view and, as a consequence, of why one ought to reject it, a few more words about the core-difference between tropes and universals, and about how this difference matters (as well as does not matter) to what—and how well—these theories explain. (shrink)

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

The paper seeks to develop an account of indexical phenomena based on the highly general theory of structure and dependence set forth by Husserl in his Logical Investigations. Husserl here defends an Aristotelian theory of meaning, viewing meanings as species or universals having as their instances certain sorts of concrete meaning acts. Indexical phenomena are seen to involve the combination of such acts of meaning with acts of perception, a thesis here developed in some detail and contrasted with (...) accounts of indexicals suggested by Frege, Wittgenstein and by the later Husserl himself in his Ideas I. Implications are drawn also for our understanding of the categorial grammar sketched by Husserl in his 4th Logical Investigation, as also for our understanding of the nature of proper names and other candidate indexical expressions. (shrink)

Metaphysics is supposed to tell us about the metaphysical nature of our world: under what conditions composition occurs; how objects persist through time; whether properties are universals or tropes. It is near orthodoxy that whichever of these sorts of metaphysical claims is true is necessarily true. This paper looks at the debate between that orthodox view and a recently emerging view that claims like these are contingent, by focusing on the metaphysical debate between monists and pluralists about concrete (...) particulars. This paper argues that we should be contingentists about monism and pluralism, and it defends contingentism against some necessitarian objections by offering an epistemology of contingent metaphysical claims. (shrink)

In this paper I consider whether a powers ontology facilitates a reduction of causal relations to intrinsic powers of the causal relata. I first argue that there is a tension in the view that powerful causation is an internal relation in this sense. Powers are ontologically dependent on other powers for their individuation, but in that case—given an Aristotelian conception of properties as immanent universals—powers will not be intrinsic on several extant analyses of ‘intrinsic’, since to possess a given (...) power P requires the existence of other concrete particulars as bearers of the powers that individuate P. I suggest several ways for Aristotelians to resolve this tension, but all tenable options involve individuative type-level causal relations between powers. While these individuative relations between powers are internal in the sense that the powers are essentially related, this is a different sense of ‘ internal ’ to the one that entails reducibility. The proposed reduction of token-causal relations to powers succeeds only at the cost of irreducible type-level causal relations between the powers themselves. (shrink)

'Ontology and Metaontology: A Contemporary Guide' is a clear and accessible survey of ontology, focussing on the most recent trends in the discipline. -/- Divided into parts, the first half characterizes metaontology: the discourse on the methodology of ontological inquiry, covering the main concepts, tools, and methods of the discipline, exploring the notions of being and existence, ontological commitment, paraphrase strategies, fictionalist strategies, and other metaontological questions. The second half considers a series of case studies, introducing and familiarizing the reader (...) with concrete examples of the latest research in the field. The basic sub-fields of ontology are covered here via an accessible and captivating exposition: events, properties, universals, abstract objects, possible worlds, material beings, mereology, fictional objects. -/- The guide's modular structure allows for a flexible approach to the subject, making it suitable for both undergraduates and postgraduates looking to better understand and apply the exciting developments and debates taking place in ontology today. (shrink)

1. The Bundle Theory I shall discuss is a theory about the nature of substances or concrete particulars, like apples, chairs, atoms, stars and people. The point of the Bundle Theory is to avoid undesirable entities like substrata that allegedly constitute particulars. The version of the Bundle Theory I shall discuss takes particulars to be entirely constituted by the universals they instantiate.' Thus particulars are said to be just bundles of universals. Together with the claim that it (...) is necessary that particulars have constituents, the fundamental claim of the Bundle Theory is: (BT) Necessarily, for every particular x and every entity y, y constitutes x if and only ify is a universal and x instantiates y. 2 The standard and supposedly devastating objection to the Bundle Theory is that it entails or is committed to a false version of the Principle of Identity of Indiscernibles (Armstrong 1978: 91, Loux 1998: 107), namely: (Pll) Necessarily, for all particulars x and y and every universal z, if z is instantiated by x if and only if z is instantiated byy, then x is numerically identical with y. The most famous counterexample to the Identity of Indiscernibles is that put forward by Max Black, consisting of a world where there are only two iron spheres two miles apart from each other, having the same diameter, temperature, colour, shape, size, etc (Black 1952: 156). Let us from now on think of the properties of the spheres in this world as universals. The possibility of this world, which I shall hereafter refer to as 'Black's world', makes (Pll) false.' And according to common philosophical opinion this means that the Bundle Theory is false.. (shrink)

Awareness is a two-place determinable relation some determinates of which are seeing, hearing, etc. Abstract objects are items such as universals and functions, which contrast with concrete objects such as solids and liquids. It is uncontroversial that we are sometimes aware of concrete objects. In this paper I explore the more controversial topic of awareness of abstract objects. I distinguish two questions. First, the Existence Question: are there any experiences that make their subjects aware of abstract objects? (...) Second, the Grounding Question: if an experience makes its subject aware of an abstract object, in virtue of what does it do so? I defend the view that intuitions, specifically mathematical intuitions, sometimes make their subjects aware of abstract objects. In defending this view, I develop an account of the ground of intuitive awareness. (shrink)

This paper explains the metaphysical implications of the view that species are individuals (SAI). I first clarify SAI in light of the separate distinctions between individuals and classes, particulars and universals, and abstract and concrete things. I then show why the standard arguments given in defense of SAI are not compelling. Nonetheless, the ontological status of species is linked to the traditional "species problem," in that certain species concepts do entail that species are individuals. I develop the idea (...) that species names are rigid designators and show how this provides additional motivation for SAI. (shrink)

The goal of referent tracking is to create an ever-growing pool of data relating to the entities existing in concrete spatiotemporal reality. In the context of Electronic Healthcare Records (EHRs) the relevant concrete entities are not only particular patients but also their parts, diseases, therapies, lesions, and so forth, insofar as these are salient to diagnosis and treatment. Within a referent tracking system, all such entities are referred to directly and explicitly, something which cannot be achieved when familiar (...) concept-based systems are used in what is called “clinical coding”. In this paper we describe the components of a referent tracking system in an informal way and we outline the procedures that would have to be followed by healthcare personnel in using such a system. We argue that the referent tracking paradigm can be introduced with only minor – though nevertheless ontologically important – technical changes to existing EHR infrastructures, but that it will require a radically different mindset on the part of those involved in clinical coding and terminology development from that which has prevailed hitherto. (shrink)

For the metaphysician, photographs are very puzzling entities indeed. And even from the non-philosopher's intuitive point of view, it is not that clear what sort of thing a photograph is. Typically, if a client wants to purchase a photograph, she can mean very different things by 'buying a photograph' : she can mean to buy a print or a number of prints, or she can mean to buy a negative (when traditional film photographs are concerned) or a file (when digital (...) photography is concerned), or she can mean to buy a right to use a photograph a precisely determined number of times in a number of brochures or on a website, and so on. When facing a new client, I always, without exception, face the problem of explaining to her what it is that she is actually buying – and it is not always clear that she is ever buying a photograph. As a metaphysician, I face a much more difficult challenge : find out to what ontological category photographs belong to. Are they concrete spatio-temporal entities like prints, are they universals since there can be many 'prints-instances' of a same photograph, are they sets or aggregates of prints, or something even different ? This is the task that I wish to undertake in this paper : examine all plausible metaphysical categories to which photographs could belong to, and see which one is the fittest. As we shall see, in this 'survival for the fittest' competition between traditional metaphysical categories, there will be no real winner : several categories will reveal themselves to be enlightening and useful when describing features of what photographs are, but none will prove to be entirely satisfactory. Photographs, it seems, are a sort of borderline entities that share some but not all aspects of several traditional metaphysical categories. Is it then justified to postulate a new ontological category to which photographs would properly belong ? On mainly methodological grounds, I shall argue that it is not, and I will suggest a different way out of this metaphysician's trouble by defending a nihilism about photographs. To put it bluntly, I will defend the claim that photographs do not exist – but I will also argue that this is not a very revisionary or anti-commonsensical claim. (shrink)

Repeatable artworks, such as novels and musical works, have often been construed as universals whose instances are particular printings or performances. In Art and Art-Attempts, Christy Mag Uidhir offers a nominalist account of repeatable artworks, eschewing talk of universals. Mag Uidhir argues that all artworks are concrete, and artworks that we regard as repeatable are simply unified by a relevant similarity relation: we use the name Beloved to refer to two concrete printed novels because they are (...) relevantly similar to each other and to certain other printings that are the product of Toni Morrison’s art-attempt. I discuss two potential difficulties for Mag Uidhir’s notion of relevant similarity: a difficulty related to appropriation, and a difficulty related to the fact that musical performances are often the product of distinct art-attempts by the composer and by the performer. I suggest that both difficulties could be addressed by enriching the notion of relevant similarity by appeal to the artist’s specification of which similarities are essential for two works to count as relevantly similar. (shrink)

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

Initially introduced to the philosophical world as elusive, we-know-notwhats—substrata underlying the properties had or exemplified by things, but themselves bereft of properties—bare particulars have been dismissed as undetectable, unnecessary, and even incoherent. Hardly a warm welcome. It appears, however, that times are changing. In a recent series of articles, for example, J. P. Moreland has argued that “bare particulars are crucial entities in any adequate overall theory of individuation”;’ that is, concrete particulars cannot be individuated without them. In the (...) same vein, Oaklander and Rothstein,2 drawing upon elements of Moreland’s new theory, have defended bare particulars against Loux’s grounding objection’—that if the theory is correct, bare particulars are qualitatively indiscernible; in which case we either have no basis for saying that they arc numerically diverse, or we must introduce lower-level substrata to ground that diversity, thereby raising the spectre of an infinite regress of individuators. (shrink)

Peter Fitzpatrick’s writings prove once and for all that it is possible for a law professor to write in beautiful English. His work also proves once and for all that the dominating tradition of Anglo-American legal philosophy and of law teaching has been barking up the wrong tree: namely, that the philosopher and professional law teachers can understand justice as nested in empty forms, better known as rules, doctrines, principles, policies, and other standards. The more rigorous our analysis or decomposition (...) of the forms, we have believed, the more closely do we access the identity of laws. Justice has been assumed to be a matter of intellectually accessing such analysed forms. Fitzpatrick’s articles and books embody an implicit critique of the analytic view of law and of justice. My entry point into this critique is his preoccupation with Jacques Derrida’s theory of laws as universals and with Derrida’s theory of justice as an inaccessible immediacy or presence in context-specific or concrete experienced events. Each event is experienced in an official’s decision. Such a decision represents what Derrida, Fitzpatrick, and Hegel call ‘individuality’. -/- Derrida’s theory of law presents a conundrum. Derrida misses the possibility that law may exist by virtue of its content rather than its form. Derrida misses this possibility because, heavily influenced by Kant (in Derrida’s theory of law), Derrida associates law with universals. This is so because Kant (and Derrida) are preoccupied with the identity of what counts as a law (lois) rather than with a law’s legitimacy. A universal cannot exist unless it is legitimate, and it is legitimate, I claim, by virtue of its content. In his association of law with universals, Derrida presupposes that legal knowledge exists with reference to a territorial-like boundary. The forms are represented or signified by signs (signifiers) within a boundary of the ultimate form (the state, the nation, or humanity). This ultimate form as a universal, like the discrete rules or forms, lacks socially contingent content. A boundary separates knowable universals from the unknowable world on the exteriority of the boundary. The unknowable world is constituted by concrete events experienced in context-specific circumstances. In his legal theory Derrida hones in upon the decision as the experienced event. In a decision, one is present or immediate with the event. Derrida considers such immediacy as justice. The immediacy, however, can only be represented as a sign (sometimes called a signifier). The sign, in turn, represents an empty signified or form, according to Derrida. Because the immediacy remains a representation rather than a presentation of the experienced event, laws as universals cannot be just. The rupture between the inaccessible immediacy of a decision on the one hand and the represented empty forms on the other is critical to Derrida’s theory of law. -/- I claim that this rupture permeates Derrida’s writings about law because Derrida possesses a territorial-like sense of legal knowledge. I shall argue to this effect as follows. In the first section I shall explain the importance of Fitzpatrick’s exposure of the vacuity of the foundation of the system or structure of universals. In the second section I shall flesh out two elements of Derrida’s legal theory: law as form and the ipseity or concrete event that the form excludes from law. This takes me to the third section, where I shall elaborate how Derrida’s legal theory presupposes knowledge as territorial. I shall argue in the final section that this very sense of territorial knowledge prevents justice from accessing law and law from accessing justice. I conclude with the hint of a very different sense of law, one that draws from experiential knowledge in contradistinction to territorial knowledge. (shrink)

Phenomenology is the study of appearance as such. It is a branch of both Ontology and Epistemology, since appearing is being known. By an ‘appearance’ is meant any existent which impinges on consciousness, anything cognized, irrespective of any judgment as to whether it be ‘real’ or ‘illusory.’ The evaluation of a particular appearance as a reality or an illusion is a complex process, involving inductive and deductive logical principles and activities. Opinion has to earn the status of strict knowledge. Knowledge (...) develops from appearances, which may be: (a) objects of perception, i.e. concrete phenomena in the physical or mental domains; (b) objects of intuition, i.e. one’s subjective self, cognitions, volitions and valuations (non-phenomenal concretes); and/or (c) objects of conception, i.e. simple or complex abstracts of preceding appearances. Abstraction relies on apprehensions of sameness and difference between appearances (including received or projected appearances, and projected negations of appearances). Coherence in knowledge (perceptual, intuitive and conceptual) is maintained by apprehensions of compatibility or incompatibility. Words facilitate our construction of conceptual knowledge, thanks to their intentionality. The abstract concepts most words intend are common characters or behaviors of particulars (concrete material, mental or subjective experiences). Granting everything in the world is reducible to waves, ‘universals’ would be equalities or proportionalities in the measures of the features, motions and interrelations of particular waves. Such a theory of universals would elucidate sensation and memory. In attempting to retrace the development of conceptual knowledge from experience, we may refer to certain major organizing principles. It is also important to keep track of the order of things in such development, interrelating specific concepts and specific experiences. By proposing a precise sequence of events, we avoid certain logical fallacies and are challenged to try and answer certain crucial questions in more detail. Many more topics are discussed in the present collection of essays, including selfhood, adduction and other logical issues, the status of mathematical concepts and theology. (shrink)

This rich book differs from much contemporary philosophy of mathematics in the author’s witty, down to earth style, and his extensive experience as a working mathematician. It accords with the field in focusing on whether mathematical entities are real. Franklin holds that recent discussion of this has oscillated between various forms of Platonism, and various forms of nominalism. He denies nominalism by holding that universals exist and denies Platonism by holding that they are concrete, not abstract - looking (...) to Aristotle for inspiration. (shrink)

In this paper, I argue that there are universals. I begin (Sect. 1) by proposing a sufficient condition for a thing’s being a universal. I then argue (Sect. 2) that some truths exist necessarily. Finally, I argue (Sects. 3 and 4) that these truths are structured entities having constituents that meet the proposed sufficient condition for being universals.

Structural universals are a kind of complex universal. They have been put to work in a variety of philosophical theories but are plagued with problems concerning their compositional nature. In this article, we will discuss the following questions. What are structural universals? Why believe in them? Can we give a consistent account of their compositional nature? What are the costs of doing so?

Presented here is an argument for the existence of universals. Like Church's translation- test argument, the argument turns on considerations from intensional logic. But whereas Church's argument turns on the fine-grained informational content of intensional sentences, this argument turns on the distinctive logical features of 'that'-clauses embedded within modal contexts. And unlike Church's argument, this argument applies against truth-conditions nominalism and also against conceptualism and in re realism. So if the argument is successful, it serves as a defense of (...) full ante rem realism. The argument emphasizes the need for a unified treatment of intensional statements -- modal statements as well as statements of assertion and belief. The larger philosophical moral will be that ante rem universals are uniquely suited to carry a certain kind of modal information. Linguistic entities, mind-dependent universals, and instance-dependent universals are incapable of serving that function. (shrink)

Both philosophers of perception and analytic metaphysicians apply the tropes/universals distinction when considering the ontological status of visual properties. One way of arguing in favor of the trope interpretation of visual properties is to claim that the way in which we visually experience properties makes it plausible to characterize them as tropes. In this paper, I argue for a different position, namely that the way in which we visually experience properties provides a serious challenge for the trope interpretation, but (...) not for an interpretation in terms of universals. More specifically, I claim that the trope interpretations of visual properties have problems accounting for the fact that ordinary, veridical visual experiences can present the properties of two objects as strictly similar. (shrink)

The Aristotelian view of universals, according to which each universal generically depends for its existence on its instantiations, has recently come under attack by a series of ground-theoretic arguments. The last such arguments, presented by Raven, promises to offer several significant improvements over its predecessors, such as avoiding commitment to the transitivity of ground and offering new reasons for the metaphysical priority of universals over their instantiations. In this paper, we argue that Raven's argument does not effectively avoid (...) said commitment and that Raven's new reasons fail. Moreover, we present a novel ground-theoretic interpretation of the Aristotelian view, referred to as strong immanence, and introduce a new argument against the Aristotelian view, intended to sidestep any commitment to the transitivity of ground. (shrink)

Universals appear to be as central in today's computational-based ontology as they were in medieval ontological investigations. As the author of a recent work on the history of universals (Pinzani, 2018), I was asked for a commentary on Augusto’s article “Bridging Mainstream and Formal Ontology” (Augusto, 2021), which aims at showing that medieval ontological investigations can be relevant for contemporary ontology engineering. In this commentary, I begin by saying something about my way of reading 12th-century logical literature and (...) then offer some modest considerations on the general theme addressed in Augusto's article. (shrink)

This paper provides an axiomatic formalization of a theory of foundational relations between three categories of entities: individuals, universals, and collections. We deal with a variety of relations between entities in these categories, including the is-a relation among universals and the part-of relation among individuals as well as cross-category relations such as instance-of, member-of, and partition-of. We show that an adequate understanding of the formal properties of such relations – in particular their behavior with respect to time – (...) is critical for formal ontology. We provide examples to support this thesis from the domain of biomedicine. (shrink)

Se ofrece un grupo de reflexiones acerca del vínculo entre dos conceptos de amplio uso en el lenguaje académico y no académico contemporáneo: valores universales y problemas globales. ¿Qué son los valores universales? ¿Por qué los seres humanos difieren en cuanto a su interpretación? ¿En qué medida el surgimiento y agudización de los problemas globales se asocia a una práctica distanciada de los verdaderos valores universales? ¿Qué hacer para que sean estos últimos los que en realidad sustenten las relaciones internacionales? (...) ¿Qué papel desempeñan estos valores en la búsqueda de soluciones a los problemas globales? El presente trabajo pretende aproximar una respuesta a estas interrogantes. (shrink)

In the latter half of the 19th century, economic thought in the Germanspeaking world was dominated, both intellectually and academically, by the so-called historical school, from Wilhelm Roscher to Gustav Schmoller and others. In 1871, the Austrian Carl Menger published his Grun&tze der Volkswirtschaftslehre (Menger, 1976 (1871)), customarily referred to as one of the three simultaneous discoveries of marginalist economics-the other two marginalist ‘revolutionaries’ being Jevons in England and Walras in France. Twelve years later, in 1883, Menger published a major (...) methodological treatise entitled Untersuchungen iiber die Methode der Socialwissenschaften und der Politischen Oekonomie insbesondere (Menger, 1963 (1883)). This book included criticisms of some of the historicist principles of doing economics. In the same year, Schmoller, leader of the German historicists, wrote a critical review of Menger’s book (Schmoller, 1883). Menger reacted forcefully with a more straightforwardly polemical small book, Die Irrthiimer des Historismus in der deutschen National6konomie (Menger, 1884). Commentaries by others appeared in later years, but this brief episode amounted to what has thereafter been called the Methodenstreit between Menger and Schmoller. It has been established as perhaps the most famous methodological controversy in the history of the social sciences. (shrink)

This book surveys the ways in which languages of different types refer to past, present, and future events and how these referents are related to the knowledge and attitudes of discourse participants. The book is the culmination of fifteen years of research by the author. Four major language types are examined in-depth: tense-based English, tense-aspect-based Polish, aspect-based Chinese, and mood-based Kalaallisut. Each contributes to a series of logical representation languages, which together define a common logical language that is argued to (...) underlie all language types. The four types differ in whether they choose to grammaticalize discourse reference to times (tense), events (aspect), and/or attitudes (mood), and how non-grammaticalized elements are inferred. The common logical language is a dynamic update logic, building on DRT and Centering Theory, but with a novel architecture—e.g. the distinction between focal vs. peripheral attention plays a key role, parallel to focal vs. peripheral vision. (shrink)

This paper summarizes and extends the transmodal argument for the existence of universals (developed in full detail in "Universals"). This argument establishes not only the existence of universals, but also that they exist necessarily, thereby confirming the ante rem view against the post rem and in re views (and also anti-existentialism against existentialism). Once summarized, the argument is extended to refute the trope theory of properties and is also shown to succeed even if possibilism is assumed. A (...) nonreductionist theory of universals and properties is then outlined, and it is sketched how to reap the benefits of possibilism and Meinongianism in an actualist setting. (shrink)

Animal mind philosophy and the related philosophy of language are rich and developing fields of philosophy. Enriched with the language of comparative concepts, they can become the threshold of a cumulative, verifiable strictly scientific "philosophy of pure mind", asserting a fundamentally new view of the problem of society, man and his place among other beings. My understanding of the mind through the prism of nonverbal and verbal thinking allowed me to get an idea of three completely different stages in the (...) development of the mind – reason, mind and wisdom. I understand reason as thinking by classification concepts of natural language, mind – as thinking by concrete scientific comparative concepts verified with the help of the senses. Whereas wisdom, understood by me in the light of "pure reason", is connected with the generalization of many particular comparative concepts. At the same time, I proceed from the fact that we are all perceiving beings, and our brain, being formed in the light of the relations of similarity and difference, perceives (comprehends – grasps) the energy present in the environment (energy in general), and converts it into sensory data. Presented by the Aristotle-Rotenfeld philosophical Matrix, in the form of concrete universal concepts of different types, they expand its cognitive capabilities step by step. Thus, with the help of spatial representations and integral visual images – drawings used by me, I show how to make nonverbal rational thinking of humans and animals verbal, expressing it in comparative terms. (shrink)

We discuss a well-known puzzle about the lexicalization of logical operators in natural language, in particular connectives and quantifiers. Of the many logically possible operators, only few appear in the lexicon of natural languages: the connectives in English, for example, are conjunction _and_, disjunction _or_, and negated disjunction _nor_; the lexical quantifiers are _all, some_ and _no_. The logically possible nand (negated conjunction) and Nall (negated universal) are not expressed by lexical entries in English, nor in any natural language. Moreover, (...) the lexicalized operators are all upward or downward monotone, an observation known as the Monotonicity Universal. We propose a logical explanation of lexical gaps and of the Monotonicity Universal, based on the dynamic behaviour of connectives and quantifiers. We define update potentials for logical operators as procedures to modify the context, under the assumption that an update by \( \phi \) depends on the logical form of \( \phi \) and on the speech act performed: assertion or rejection. We conjecture that the adequacy of update potentials determines the limits of lexicalizability for logical operators in natural language. Finally, we show that on this framework the Monotonicity Universal follows from the logical properties of the updates that correspond to each operator. (shrink)

This article offers a novel solution to the problem of material constitution: by including non-concrete objects among the parts of material objects, we can avoid having a statue and its constituent piece of clay composed of all the same proper parts. Non-concrete objects—objects that aren’t concrete, but possibly are—have been used in defense of the claim that everything necessarily exists. But the account offered shows that non-concreta are independently useful in other domains as well. The resulting view (...) falls under a ‘nonmaterial partist’ class of views that includes, in particular, Laurie Paul’s and Kathrin Koslicki’s constitution views; ones where material objects have properties or structures as parts respectively. The article gives reasons for preferring the non-concretist solution over these other non-material partist views and defends it against objections. (shrink)

In the ontology of music the Aristotelian theory of musical works is the view that musical works are immanent universals. The Aristotelian theory (hereafter Musical Aristotelianism) is an attractive and serviceable hypothesis. However, it is overlooked as a genuine competitor to the more well-known theories of Musical Platonism and nominalism. Worse still, there is no detailed account in the literature of the nature of the universals that the Aristotelian identifies musical works with. In this paper, I argue that (...) the best version of Musical Aristotelianism identifies musical works with structural universals. I first motivate the view by outlining its explanatory benefits. I then argue that Musical Aristotelianism is preferable to Musical Platonism and present a novel account of musical works as structural universals by developing D. M. Armstrong’s theory of structural universals. I discuss the consequences of Musical Aristotelianism with respect to on-going issues in debates about musical works and defend the view against an influential objection, concluding that Musical Aristotelianism is a genuine competitor in debates about the nature of musical works. (shrink)

The essay constructs an ontological theory designed to capture the categories instantiated in those portions or levels of reality which are captured in our common sense conceptual scheme. It takes as its starting point an Aristotelian ontology of “substances” and “accidents”, which are treated via the instruments of mereology and topology. The theory recognizes not only individual parts of substances and accidents, including the internal and external boundaries of these, but also universal parts, such as the “humanity” which is an (...) essential part of both Tom and Dick, and also “individual relations”, such as Tom’s promise to Dick, or their current handshake. (shrink)

Slot theory is the view that (i) there exist such entities as argument places, or ‘slots’, in universals, and that (ii) a universal u is n-adic if and only if there are n slots in u. I argue that those who take properties and relations to be abundant, fine-grained, non-set-theoretical entities face pressure to be slot theorists. I note that slots permit a natural account of the notion of adicy. I then consider a series of ‘slot-free’ accounts of that (...) notion and argue that each of them has significant drawbacks. (shrink)

In this chapter, I survey what I call Lewisian approaches to modality: approaches that analyze modality in terms of concrete possible worlds and their parts. I take the following four theses to be characteristic of Lewisian approaches to modality. (1) There is no primitive modality. (2) There exists a plurality of concrete possible worlds. (3) Actuality is an indexical concept. (4) Modality de re is to be analyzed in terms of counterparts, not transworld identity. After an introductory section (...) in which I motivate analyzing modality in terms of possible worlds, I devote one section to each of these four theses. For each thesis, I take Lewis’s interpretation and defense as my starting point. I then consider and endorse alternative ways of accepting the thesis, some of which disagree substantially with Lewis’s interpretation or defense. There is more than one way to be a Lewisian about modality. (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.

It has long been recognized that temporal anaphora in French and English depends on the aspectual distinction between events and states. For example, temporal location as well as temporal update depends on the aspectual type. This paper presents a general theory of aspect-based temporal anaphora, which extends from languages with grammatical tenses (like French and English) to tenseless languages (e.g. Kalaallisut). This theory also extends to additional aspect-dependent phenomena and to non-atomic aspectual types, processes and habits, which license anaphora to (...) proper atomic parts (cf. nominal pluralities and kinds). (shrink)

This makes three main interpretative points about the progression from perception to universals described in 'Posterior Analytics' II.19: (1) The noun "'aisthesis'" as used in the chapter may refer not to the act of perceiving but to perceptual contents retained in memory. (2) An 'empeiria' (experience) should be understood as a capacity to generate expectations about new members of an unconceptualized kind based on memories of other members of the kind. (3) The famous rout analogy is a metaphor for (...) the perfection of such a capacity into a concept that can underwrite demonstrative knowledge (rather than mere expectation). (shrink)

The concepts of particular and universal have grown so familiar that their significance has become difficult to discern, like coins that have been passed back and forth too many times, worn smooth so their values can no longer be read. On the Genealogy of Universals seeks to overcome our sense of over-familiarity with these concepts by providing a case study of their evolution during the late nineteenth century and early twentieth century, a study that shows how the history of (...) these concepts is bound up with the origins and development of analytic philosophy itself. Understanding how these concepts were taken up, transfigured, and given up by the early analytic philosophers, enables us to recover and reanimate the debate amongst them that otherwise remains Delphic. This book begins from the early, originating texts of analytic philosophy that have hitherto baffled commentators, including Moore's early papers, and engages afresh with the neglected contributions of philosophical figures that historians of analytic philosophy have mostly since forgotten, including Stout and Whitehead. This sheds new light upon the relationships of Moore to Russell, Russell to Wittgenstein, and Wittgenstein to Ramsey. (shrink)