A polemical account of Australian philosophy up to 2003, emphasising its unique aspects (such as commitment to realism) and the connections between philosophers' views and their lives. Topics include early idealism, the dominance of John Anderson in Sydney, the Orr case, Catholic scholasticism, Melbourne Wittgensteinianism, philosophy of science, the Sydney disturbances of the 1970s, Francofeminism, environmental philosophy, the philosophy of law and Mabo, ethics and Peter Singer. Realist theories especially praised are David Armstrong's on universals, David Stove's on logical probability (...) and the ethical realism of Rai Gaita and Catholic philosophers. In addition to strict philosophy, the book treats non-religious moral traditions to train virtue, such as Freemasonry, civics education and the Greek and Roman classics. (shrink)

In this paper I argue that there are in fact external relations in Russell’s sense. The level at which we are forced to acknowledge them is, however, not the level of relations between concrete individual objects. All relations of this kind, which I will call “inter-individual” relations, can be construed as supervenient on the monadic properties of their terms. But if we pursue our ontological analysis a little bit deeper and consider the internal structure of a concrete individual, then we (...) will inevitably find irreducible external relations. I mean for example the relation of instantiation (in the frame of a realist’s theory) or that of concurrence (in the frame of a trope theory). I will show that such “intra-individual” relations – the relations that make up the internal structure of a concrete individual out of more primitive metaphysical “building blocks” like universals or tropes – could not (even in principle) be construed as supervenient. (shrink)

E. E. Constance Jones was one of the first women to study philosophy at the University of Cambridge. This paper focuses on her claim from her first major work, Elements of Logic as a Science of Propositions, that each thing has a unique existence. Jones’s claim follows from claims about tropes and haecceities; but, I suggest, it’s not claims about tropes and haecceities that lead her to accept it. Rather, I suggest, it’s claims about what she calls the denomination of (...) names and the quantitiveness of things that lead her to accept it. Her claim that each thing has a unique existence thus fits within her more general views in Elements of Logic. (shrink)

Platonists affirm the existence of abstract mathematical objects, and Nominalists deny the existence of abstract mathematical objects. While there are standard arguments in favor of Nominalism, these arguments fail to account for the necessity of Nominalism. Furthermore, these arguments do nothing to explain why Nominalism is true. They only point to certain theoretical vices that might befall the Platonist. The goal of this paper is to formulate and defend a simple, valid argument for the necessity of Nominalism that seeks to (...) precisify the widespread intuition that mathematical objects are somehow ‘spooky’ or ‘mysterious’. (shrink)

Robin Le Poidevin (2007) claims that we do form perceptual beliefs regarding order and duration based on our perception of events, but neither order nor duration are by themselves objects of perception. Temporal properties are discernible only when one first perceives their bearers, and temporal relations are discernible only when one first perceives their relata. The epistemic issue remains as to whether or not our perceptual beliefs about order and duration are formed on the causal basis of an event’s objective (...) order and duration. Le Poidevin raises this issue in the form of an epistemological puzzle of time perception, from which he derives the claim that the order and duration of events do not causally contribute to our perceptual beliefs about them. Since his view is motivated by a causal truthmaker principle for grounding knowledge, it also holds that perceptual beliefs about temporal features must be caused by the features themselves in order to count as knowledge. Given these theoretical commitments, there is a puzzle concerning how such perceptual beliefs could constitute knowledge of temporal properties. In response to Le Poidevin, I argue for an account according to which order and duration are objects of perception, causally contribute to our perceptual beliefs about them, and such beliefs are capable of counting as knowledge. I conclude by showing that, on my alternative account, the epistemological puzzle dissolves and his own solution to it fails. (shrink)

Most of us would want to say that it is true that Socrates taught Plato. According to realists about past facts, this is made true by the fact that there is, located in the past, i.e., earlier than now, at least one real event that is the teaching of Plato by Socrates. Presentists, however, in denying that past events and facts exist cannot appeal to such facts to make their past-tensed Statements true. So what is a presentist to do?There are (...) at least three conditions that would ideally be met in a satisfactory solution to this problem:a) It must preserve our views about which Statements are true and which falseb) It must be transparent what the truthmakers are for those Statementsc) It must accommodate the truth-value links between various times. (shrink)

A critical survey of the main metaphysical theories concerning the nature of material objects (substratum theories, bundle theories, substance theories, stuff theories) and their identity conditions, both synchronic (monist vs. pluralist theories) and diachronic (three-dimensionalism, four-dimensionalism, sequentialism).

The question whether numbers are objects is a central question in the philosophy of mathematics. Frege made use of a syntactic criterion for objethood: numbers are objects because there are singular terms that stand for them, and not just singular terms in some formal language, but in natural language in particular. In particular, Frege (1884) thought that both noun phrases like the number of planets and simple numerals like eight as in (1) are singular terms referring to numbers as abstract (...) objects. (shrink)

Our day-to-day experience of the world regularly brings us into contact with middlesized objects such as apples, dogs, and other human beings. These objects possess observable properties, properties that are available or accessible to the unaided senses, such as redness and roundness, as well as properties that are not so available, such as chemical ones. Both of these kinds of properties serve as valuable sources of information about our familiar middle-sized objects at least to the extent that they enable us (...) to understand the behaviours of those objects and their effects on each other and on us. I see the apple on the table before me, and in doing so I see its redness, its roundness, and so on. I do not see, but know that it has, a certain chemical constitution. The knowledge gained of the apple by means of both properties tells me something about the nature of that apple. In general, most, if not all, of the properties that objects in the observable world possess serve as the basis of our knowledge of such objects. But the subject-predicate form of much of our discourse and thought about objects suggests that substances are one kind of thing, properties another. We use subject terms such as names to identify objects, predicate terms to attribute properties to them. What, then, is it for an object to have a property? And what is the relation between an object and its properties? (shrink)

Philosophy and Literature is an internationally renowned refereed journal founded by Denis Dutton at the University of Canterbury, Christchurch. It is now published by the Johns Hopkins University Press. Since its inception in 1976, Philosophy and Literature has been concerned with the relation between literary and philosophical studies, publishing articles on the philosophical interpretation of literature as well as the literary treatment of philosophy. Philosophy and Literature has sometimes been regarded as iconoclastic, in the sense that it repudiates academic pretensions, (...) insidious jargon and institutional vogue. Dutton, who remains the editor, still writes a regular column. A distinctive feature of Philosophy and Literature was the annual Bad Writing Contest, held from 1995–98, which sought to identify (and publish) the ‘most stylistically lamentable passages’ of academic prose, often to great amusement. (shrink)

Nominalizations are expressions that are particularly challenging philosophically in that they help form singular terms that seem to refer to abstract or derived objects often considered controversial. The three standard views about the semantics of nominalizations are [1] that they map mere meanings onto objects, [2] that they refer to implicit arguments, and [3] that they introduce new objects, in virtue of their compositional semantics. In the second case, nominalizations do not add anything new but pick up objects that would (...) be present anyway in the semantic structure of a corresponding sentence without a nominalization. In the first and third case, nominalizations in a sense ‘create’ new objects’, enriching the ontology on the basis of the meaning of expressions. I will argue that there is a fourth kind of nominalization which requires a quite different treatment. These are nominalizations that introduce ‘new’ objects, but only partially characterize them. Such nominalizations generally refer to events or tropes. I will explore an account according on which such nominalizations refer to truth makers. (shrink)

I defend a one category ontology: an ontology that denies that we need more than one fundamental category to support the ontological structure of the world. Categorical fundamentality is understood in terms of the metaphysically prior, as that in which everything else in the world consists. One category ontologies are deeply appealing, because their ontological simplicity gives them an unmatched elegance and spareness. I’m a fan of a one category ontology that collapses the distinction between particular and property, replacing it (...) with a single fundamental category of intrinsic characters or qualities. We may describe the qualities as qualitative charactersor as modes, perhaps on the model of Aristotelian qualitative (nonsubstantial) kinds, and I will use the term “properties” interchangeably with “qualities”. The qualities are repeatable and reasonably sparse, although, as I discuss in section 2.6, there are empirical reasons that may suggest, depending on one’s preferred fundamental physical theory, that they include irreducibly intensive qualities. There are no uninstantiated qualities. I also assume that the fundamental qualitative natures are intrinsic, although physics may ultimately suggest that some of them are extrinsic. On my view, matter, concrete objects, abstract objects, and perhaps even spacetime are constructed from mereological fusions of qualities, so the world is simply a vast mixture of qualities, including polyadic properties (i.e., relations). This means that everything there is, including concrete objects like persons or stars, is a quality, a qualitative fusion, or a portion of the extended qualitative fusion that is the worldwhole. I call my view mereological bundle theory. (shrink)

In The Principles of Mathematics, Russell writes: Whatever may be an object of thought, or may occur in any true or false proposition, or can be counted as one, I call a term. This, then, is the widest word in the philosophical vocabulary. I shall use as synonymous with it the words unit, individual and entity. The first two emphasize the fact that every term is one, while the third is derived from the fact that every term has being, i.e. (...) is in some sense. A man, a moment, a number, a class, a relation, a chimera, or anything else that can be mentioned, is sure to be a term'. Now in this remark, a certain extremely general, topic-neutral use of ‘object’ is singled out, a use in which the expression is treated as equivalent to (equally neutral) uses of ‘term’, ‘entity’, ‘unit’, ‘individual’, and ‘thing’. In addition, a claim is made to the effect that the content of the expression, with its emphasis on one, is such as to be adequate to comprehend the sum-total of existence, to include whatever there may be. The paper addresses the question of what this claim means, and whether it might be true. (shrink)

This paper considers the philosophical interpretation of the concept of svabhāva, sometimes translated as 'inherent existence' or 'own-being', in the Madyamaka school of Buddhist philosophy. It is argued that svabhāva must be understood as having two different conceptual dimensions, an ontological and a cognitive one. The ontological dimension of svabhāva shows it to play a particular part in theories investigating the most fundamental constituents of the world. Three different understandings of svabhāva are discussed under this heading: svabhāva understood as essence, (...) as substance, and as the true nature of phenomena (absolute svabhāva). The cognitive dimension shows svabhāva as playing an important rôle in our everyday conceptualization of phenomena. Svabhāva is here seen as a superimposition (samāropa) which the mind projects onto the world. (shrink)

I describe an account of ontological categories which does justice to the facts that not all categories are ontological categories and that ontological categories can stand in containment relations. The account sorts objects into different categories in the same way in which grammar sorts expressions . It then identifies the ontological categories with those which play a certain role in the systematization of collections of categories. The paper concludes by noting that on my account what ontological categories there are is (...) partially interest-relative, and that furthermore no object can belong essentially to its ontological category. (shrink)

Natural properties are those that carve reality at the joints. The notion of carving reality at the joints, however, is somewhat obscure, and is often understood in terms of making for similarity, conferring causal powers, or figuring in the laws of nature. I develop and assess an account of the third sort according to which carving reality at the joints is understood as having the right level of determinacy relative to nomic roles. The account has the attraction of involving very (...) weak metaphysical presuppositions, but fails to capture several features that natural properties are presumed to have. (shrink)

Nonreductive physicalism faces serious problems regarding causal exclusion, causal heterogeneity, and the nature of realization. In this paper I advance solutions to each of those problems. The proposed solutions all depend crucially on embracing modal counterpart theory. Hence, the paper’s thesis: counterpart theory saves nonreductive physicalism. I take as my inspiration the view that mental tokens are constituted by physical tokens in the same way statues are constituted by lumps of clay. I break from other philosophers who have pursued this (...) line, however, in that I hold that constitution is identity. Much of the value of the comparison to statues and lumps is that it calls to mind the resources used to defend constitution-as-identity, most notably that of counterpart theory. Along the way, I discuss the virtues of a trope ontology, modal objections to token identity theories, the prospects of conditional analyses of causal powers, the subset account of realization, and the grounding problem. I also endorse a novel, empirical argument in favor of counterpart theory. (shrink)

It is often said by philosophers that the term ‘the universe’ is illegitimate, whether because the notion of ‘all things’ is incoherent, or inconsistent, or cannot even be meaningfully expressed. The reasons may be drawn from metaphysics, or logic, or the philosophy of language, or the philosophy of mathematics. In this essay I argue that the term is legitimate, withstanding all criticisms, and that there is a single best meaning for it, which is that it is a semantically plural term (...) standing equally for every existing object. ‘Forty‐two’, said Deep Thought, with infinite majesty and calm. (Douglas Adams, The Hitch‐Hiker's Guide to the Galaxy). (shrink)

Nexuses such as exemplification are the fundamental ties that structure reality as a whole. They are “formal” in the sense of constituting the form, not the matter of reality and they are “transcendental” inasmuch as they transcend the categorial distinctions between the denizens of reality, including that between existents and non-existents. I shall advocate a moderately particularist view about (external) nexuses and argue that it provides not only the best solution to Bradley’s regress, but also an elegant account of symmetrical (...) relations (both formal and material), as well as of temporal and modal change. These advantages are illustrated by the reconstruction of an Aristotelian ontology of exemplification involving substances, kinds and material attributes. (shrink)

The Ontological Square is a categorial scheme that combines two metaphysical distinctions: that between types (or universals ) and tokens (or particulars ) on the one hand, and that between characters (or features ) and their substrates (or bearers ) on the other hand. The resulting four-fold classification of things comprises particular substrates, called substances , universal substrates, called kinds , particular characters, called modes or moments , and universal characters, called attributes . Things are joined together in facts by (...) primitive ontological ties or nexus . This article describes a logic that is meant to capture the basic intuitions behind the Ontological Square. Given a minimal correspondence between atomic logical form and ontological structure, the commitment to nexus as a distinct ontological category entails a rehabilitation of copulae as ties of predication. Thus, the Logic of the Ontological Square is a copula calculus rather than a predicate calculus; its soundness and completeness can be established with respect to a model akin to a so-called first-order semantics for standard second-order logic. (shrink)

In this article, I explain how and why different attempts to defend absolute divine simplicity fail. A proponent of absolute divine simplicity has to explain why different attributions do not suppose a metaphysical complexity in God but just one superproperty, why there is no difference between God and His super-property and finally how a absolute simple entity can be the truthmaker of different intrinsic predications. It does not necessarily lead to a rejection of divine simplicity but it shows that we (...) may consider another conception of divine simplicity compatible with some metaphysical complexity in God. (shrink)

The aim of the present article is to make the notion of an ontology of fields mathematically rigorous. The conclusion will be that couching an ontology in terms of mathematical bundles and cross‐sections both captures many important intuitions of conventional ontologies, including the universal‐particular paradigm, the connection of universals and their ‘instantiations’, and the notion of ‘possibility’, and makes possible the framing of ontologies without ‘substrata’, bare particulars, and primitive particularizers.

In this paper we examine a puzzle recently posed by Aaron Preston for the traditional realist assay of property (quality) instances. Consider Socrates (a red round spot) and red1—Socrates’ redness. For the traditional realist, both of these entities are concrete particulars. Further, both involve redness being `tied to’ the same bare individuator. But then it appears that red1 is duplicated in its ‘thicker’ particular (Socrates), so that it can’t be predicated of Socrates without redundancy. According to Preston, this suggests that (...) a concrete particular and its property instances aren’t genuinely related. We argue that Preston’s proffered solution here—to treat property instances as “mental constructs”—is fraught with difficulty. We then go on to show how, by fine-tuning the nature of bare particulars, treating them as abstract modes of things rather than concrete particulars, the traditional realist can neatly evade Preston’s puzzle. (shrink)

Universals are usually considered to be universal properties. Since tropes are particular properties, if there are only tropes, there are no universals. However, universals might be thought of not only as common properties, but also as common aspects (“determinable universals”) and common wholes (“concrete universals”). The existence of these two latter concepts of universals is fully compatible with the assumption that all properties are particular. This observation makes possible three different trope theories, which accept tropes and no universals, tropes and (...) determinable universals and tropes and concrete universals. (shrink)

Recent discussions of mental causation have focused on three principles: (1) Mental properties are (sometimes) causally relevant to physical effects; (2) mental properties are not physical properties; (3) every physical event has in its causal history only physical events and physical properties. Since these principles seem to be inconsistent, solutions have focused on rejecting one or more of them. But I argue that, in spite of appearances, (1)–(3) are not inconsistent. The reason is that 'properties' is used in different senses (...) in the principles. In (1) and (3), 'properties' should be read as 'tropes' (properties here are particulars), while in (2) 'properties' should read as 'types' (properties here are universals or classes). Although mental types are distinct from physical types, every mental trope is a physical trope. This allows mental properties to be causally relevant to physical effects without violating the closed character of the physical world. (shrink)

ABSTRACT Historical structuralist views have been ontological. They either deny that there are any mathematical objects or they maintain that mathematical objects are structures or positions in them. Non-ontological structuralism offers no account of the nature of mathematical objects. My own structuralism has evolved from an early sui generis version to a non-ontological version that embraces Quine’s doctrine of ontological relativity. In this paper I further develop and explain this view.

This paper examines Hegel’s accounts of the nature of judgements and inferences in the ‘subjective logic’ of the Science of Logic, and does so in light of the history of the tradition of formal logic to his time. It is argued that, contrary to the attitude often displayed by interpreters of Hegel’s logic, it is important to understand the positive role played by formal logic, ‘logic commonly so called’, in Hegel’s own conception of logic. It is argued that Hegel’s own (...) scientific presentation [Darstellung] of logic relies on a dialectic working through the tradition of formal logic from Aristotle to Leibniz. The positions within the dialectic are most easily brought into focus in terms of the distinction between Aristotelian and Stoic logic, but they can also be seen as internal to Aristotelian logic. The logical tradition can be regarded as presenting a type of reductio ad absurdum, and a science of logic must examine what it was about Aristotle’s original project that brought it to this fate. (shrink)

The authors of this paper earlier argued that concrete objects, such as things or persons, may have final value (value for their own sake), which is not reducible to the value of states of affairs that concern the object in question.Our arguments have been challenged. This paper is an attempt to respond to some of these challenges, viz. those that concern the reducibility issue. The discussion presupposes a Brentano‐inspired account of value in terms of fitting responses to value bearers. Attention (...) is given to a yet another type of reduction proposal, according to which the ultimate bearers of final value are abstract particulars (so‐called tropes) rather than abstract states or facts. While the proposal is attractive ((fone entertains the existence of tropes), it confronts serious difficulties. To recognise tropes as potential bearers of final value, along with other objects, is one thing; but to reduce the final value of concrete objects to the final value of tropes is another matter. (shrink)

This article presents an historical and conceptual overview on different approaches to logical abstraction. Two main trends concerning abstraction in the history of logic are highlighted, starting from the logical notions of concept and function. This analysis strictly relates to the philosophical discussion on the nature of abstract objects. I develop this issue further with respect to the procedure of abstraction involved by (typed) λ-systems, focusing on the crucial change about meaning and predicability. In particular, the analysis of the nature (...) of logical types in the context of Constructive Type Theory allows elucidation of the role of the previously introduced notions. Finally, the connection to the analysis of abstraction in computer science is drawn, and the methodological contribution provided by the notion of information is considered, showing its conceptual and technical relevance. Future research shall focus on the notion of information in distributed systems, analysing the paradigm of information hiding in dependent type theories. (shrink)

This paper is an attempt to further our understanding of mechanisms conceived of as ontologically separable from laws. What opportunities are there for a mechanistic perspective to be independent of, or even more fundamental than, a law perspective? Advocates of the mechanistic view often play with the possibility of internal and external reliability, or with the paralleling possibilities of enforcing, counteracting, redirecting, etc., the mechanisms’ power to produce To further this discussion I adopt a trope ontology. It is independent of (...) the notion of law, and can easily be adapted to account for such characteristics of mechanisms. The idea of tropes as mechanisms is worked out in some detail. According to the resulting picture, there is still an opportunity to link mechanisms and laws. But while the predominant law view conceives of mechanistic approaches as special kinds of law accounts, this study indicates that the converse may be true. Law accounts are special cases of mechanistic accounts, and they work only in those worlds where the mechanisms are of the right kind. (shrink)

The idea that what we perceive are tropes is anything but new. In fact, it was one of the reasons why the ontology of tropes was postulated in the first place. Still, the claim that we perceive tropes is invariably and purely based on pre-philosophical intuitions or, indirectly, either as a supporting argument for the advantages of content view when compared to the relational view of experience, or as a supporting argument in favor of the irreducible subjective character of experience. (...) In this paper, I take the content view for granted and argue in favor of what is herein referred to as the trope-content view of experience. My defense is a case of inference to the best explanation. The trope-content view can meet all reasonable desiderata on the experience and its content without assuming gaps or making the ad hoc assumption that there are different layers of content, or so shall I argue. (shrink)

I discuss puzzles involving coinciding material objects (such as statues and their constitutive lumps of clay) and propose solutions.

In this paper, I defend the view that the values of concrete objects and persons are reducible to the final values of tropes. This reductive account has recently been discussed and rejected by Rabinowicz and Rønnow-Rasmussen (2003). I begin by explaining why the reduction is appealing in the first place. In my rejoinder to Rabinowicz and Rønnow-Rasmussen I defend trope-value reductionism against three challenges. I focus mainly on their central objection, that holds that the reduction is untenable since different evaluative (...) attitudes have, ontologically speaking, different objects. I grant that this may well be so, but argue that the objection is based on an unwarranted, loose reading of the notion 'value for its own sake'. On the more reasonable strict reading, it is plausible to maintain that tropes are the sole ontological category that can properly be ascribed final value. (shrink)

A lot of good philosophy is done in the armchair, but is nevertheless a posteriori. This paper clarifies and then defends that claim. Among the a posteriori activities done in the armchair are assembling and evaluating commonplaces; formulating theoretical alternatives; and integrating well-known past a posteriori discoveries. The activity that receives the most discussion, however, is the application of theoretical virtues to choose philosophical theories: the paper argues that much of this is properly seen as a posteriori.

There are two very different ways of thinking about perception. According to the first one, perception is representational: it represents the world as being a certain way. According to the second, perception is a genuine relation between the perceiver and a token object. These two views are thought to be incompatible. My aim is to work out the least problematic version of the representational view of perception that preserves the most important considerations in favor of the relational view. According to (...) this version of representationalism, the properties represented in perception are tropes—abstract particulars that are logically incapable of being present in two distinct individuals at the same time. I call this view ‘trope representationalism’. (shrink)

This paper proposes to carve out a new position in the scientific realism/antirealism debate and argue that it captures some of the most important realist and some of the most important antirealist considerations. The view, briefly stated, is that there is always a fact of the matter about whether the singular statements science gives us are literally true, but there is no fact of the matter about whether the non-singular statements science gives us are literally true. I call this view (...) singularist semirealism. Singularist semirealism sides with scientific realism with regards to singular statements but it is an antirealist view with regards to non-singular statements. In this sense, singularist semirealism could be considered to be ‘the best of both worlds’. 1 Introduction2 Truth and Correctness3 Property-Tokens and Property-Types4 Singularist Semirealism5 Encouragement from Actual Scientific Practice6 Some Potentially Worrying Consequences of Singularist Semirealism7 Some Promising Consequences of Singularist Semirealism8 Conclusion: Theory Change. (shrink)

Entity realism is the view that ‘a good many theoretical entities do really exist’. The main novelty of entity realism was that it provided an account of scientific realism that did not have to endorse realism about theories—the general proposal was that entity realism is noncommittal about whether we should be realist about scientific theories. I argue that the only way entity realists can resist the pull of straight scientific realism about theories is by endorsing a recent new player in (...) the scientific realism debate: singularist semirealism. (shrink)

In several recent issues of this journal, I argued for an account of property possession as strict, numerical identity. While this account has stuck some as being highly idiosyncratic in nature, it is not entirely something new under the sun, since as I will argue in this paper, it turns out to have a historic precedent in Plato⠀™ s theory of forms. Indeed, the purpose of this paper is twofold. The first is to show that my account of property (...) possession can be utilized to provide a novel interpretation of Plato⠀™ s theory of forms. And the second is to show that once it has been divorced from a variety of implausible doctrines with which it has historically been wedded, Plato⠀™ s central insight that all properties possess themselves, far from being of mere historical interest, is independently plausible, ironically enough, even from an empirical point of view. (shrink)

This paper argues for an ontological distinction between two kinds of universals, 'kinds of tropes' such as 'wisdom' and properties such as 'the property of being wise'. It argues that the distinction is parallel to that between two kinds of collections, pluralities such as 'the students' and collective objects such as 'the class'. The paper argues for the priortity of distributive readings with pluralities on the basis of predicates of extent or shape, such 'large' or 'long'.

A common view is that natural language treats numbers as abstract objects, with expressions like the number of planets, eight, as well as the number eight acting as referential terms referring to numbers. In this paper I will argue that this view about reference to numbers in natural language is fundamentally mistaken. A more thorough look at natural language reveals a very different view of the ontological status of natural numbers. On this view, numbers are not primarily treated abstract objects, (...) but rather 'aspects' of pluralities of ordinary objects, namely number tropes, a view that in fact appears to have been the Aristotelian view of numbers. Natural language moreover provides support for another view of the ontological status of numbers, on which natural numbers do not act as entities, but rather have the status of plural properties, the meaning of numerals when acting like adjectives. This view matches contemporary approaches in the philosophy of mathematics of what Dummett called the Adjectival Strategy, the view on which number terms in arithmetical sentences are not terms referring to numbers, but rather make contributions to generalizations about ordinary (and possible) objects. It is only with complex expressions somewhat at the periphery of language such as the number eight that reference to pure numbers is permitted. (shrink)

This paper explores a novel analysis of adjectives in the comparative and the positive based on the notion of a trope, rather than the notion of a degree. Tropes are particularized properties, concrete manifestations of properties in individuals. The point of departure is that a sentence like ‘John is happier than Mary’ is intuitively equivalent to ‘John’s happiness exceeds Mary’s happiness’, a sentence that expresses a simple comparison between two tropes, John’s happiness and Mary’s happiness. The analysis received particular support (...) from various parallels between adjectival constructions and corresponding adjective nominalizations which make reference to tropes. (shrink)

An ontology's theory of ontic predication has implications for the concomitant predicate logic. Remarkable in its analytic power for both ontology and logic is the here developed Particularized Predicate Logic (PPL), the logic inherent in the realist version of the doctrine of unit or individuated predicates. PPL, as axiomatized and proven consistent below, is a three-sorted impredicative intensional logic with identity, having variables ranging over individuals x, intensions R, and instances of intensions $R_{i}$ . The power of PPL is illustrated (...) by its clarification of the self-referential nature of impredicative definitions and its distinguishing between legitimate and illegitimate forms. With a wellmotivated refinement on the axiom of comprehension, PPL is, in effect, a higher-order logic without a forced stratification of predicates into types or the use of other ad hoc restrictions. The Russell-Priest characterization of the classic self-referential paradoxes is used to show how PPL diagnosis and solves these antimonies. A direct application of PPL is made to Grelling's Paradox. Also shown is how PPL can distinguish between identity and indiscernibility. (shrink)

Trope theory is the view that the world is a world of abstract particular qualities. But if all there is are tropes, how do we account for the truth of propositions ostensibly made true by some concrete particular? A common answer is that concrete particulars are nothing but tropes in compresence. This answer seems vulnerable to an argument (first presented by F. H. Bradley) according to which any attempt to account for the nature of relations will end up either in (...) contradiction, nonsense, or will lead to a vicious infinite regress. I investigate Bradley’s argument and claim that it fails to prove what it sets out to. It fails, I argue, because it does not take all the different ways in which relation and relata may depend on one another into account. If relations are entities that are distinct from yet essentially dependent upon their relata, the Bradleyan problem is solved. We are then free to say that tropes in compresence are what make true propositions ostensibly made true by concrete particulars. (shrink)

Several difficulties, concerning the individuation and the variation of tropes, beset the initial classic version of trope theory. K. Campbell (Abstract particulars, Oxford, Basil Blackwell, 1990) presented a modified version that aims to avoid those difficulties. Unfortunately, the revised theory cannot make the case that one of the fundamental tropes, space-time, is a genuine particular.

In the first part ("Determination"), I consider different notions of determination, contrast and compare modal with non-modal accounts and then defend two a-modality theses concerning essence and supervenience. I argue, first, that essence is a a-modal notion, i.e. not usefully analysed in terms of metaphysical modality, and then, contra Kit Fine, that essential properties can be exemplified contingently. I argue, second, that supervenience is also an a-modal notion, and that it should be analysed in terms of constitution relations between properties. (...) In the second part ("A Theory of Truthmaking"), I first review the literature on ontological commitment, and argue that the notion of truthmaking is better suited to play its explanatory rôle. I then argue that we should take truthmaker theory seriously, and that we should provide actual truthmakers for all truths there are. In the last chapter of this part, I review Armstrong's truthmaker theories and argue that they are unsatisfactory. I generalise my criticism to an argument against truthmaker necessitarianism, the view that truthmakers necessarily make true the truths they are truthmakers of. In the third part ("Properties and their Kind(s)"), I discuss qualitative determination. I present and endorse the truthmaker argument for universals, and defend universalism against friends of tropes, states of affairs and facts. I then give a novel characterisation of the important class of intrinsic properties, building on Lewis' work. With a workable notion of intrinsicness at hand, I argue that relations are ontologically – but not "ideologically" – dispensable: qualitative determination in general is a matter of intrinsic structure. In the future, I plan to add two parts and to publish my thesis as a book: In the fourth part ("Exemplification"), I argue for the existence of an exemplification relation tying universals and particulars together. I derive theoretical benefits from this relation by providing adverbialist theories of modality and tense and identify exemplification with a type of parthood. In the fifth part ("Qua qua qua"), I investigate the curious and interesting ontological category of so-called "qua-objects" (Picasso-as-a-painter, for example) and argue that they exist, are not identical with transworld indidivuals or modal parts and that they provide (contingent) truthmakers for all true predications. (shrink)