Formal ontology as a main branch of metaphysics investigates categories of being. In the formal ontological approach to metaphysics, these ontological categories are analysed by ontological forms. This analysis, which we illustrate by some category systems, provides a tool to assess the clarity, exactness and intelligibility of different category systems or formal ontologies. We discuss critically different accounts of ontological form in the literature. Of ontological form, we propose a character- neutral relational account. In this metatheory, ontological forms of entities (...) are their standings in internal relations whose holding is neutral on the character of their relata. These relations are “formal ontological relations”. Entities belong to ontological categories because they stand in the same formal ontological relations. We hold a nominalist relationalism about ontological categories and forms. We conclude by showing that our metatheory is useful for understanding categorial fundamentality/non- fundamentality, different formal ontologies, and for unifying metaphysical questions. (shrink)

What is the source of logical and mathematical truth? This book revitalizes conventionalism as an answer to this question. Conventionalism takes logical and mathematical truth to have their source in linguistic conventions. This was an extremely popular view in the early 20th century, but it was never worked out in detail and is now almost universally rejected in mainstream philosophical circles. Shadows of Syntax is the first book-length treatment and defense of a combined conventionalist theory of logic and mathematics. It (...) argues that our conventions, in the form of syntactic rules of language use, are perfectly suited to explain the truth, necessity, and a priority of logical and mathematical claims, as well as our logical and mathematical knowledge. (shrink)

Ontological pluralism is the view that there are ways of being. Ontological pluralism is enjoying a revival in contemporary metaphysics. We want to say that there are numbers, fictional characters, impossible things, and holes. But, we don’t think these things all exist in the same sense as cars and human beings. If they exist or have being at all, then they have different ways of being. Fictional characters exist as objects of make‐believe and holes exist as absences in objects. But, (...) human beings and cars exist in a much more robust sense. What are ways of being? Why should be believe in them and what should we believe about them? This short essay provides an overview of the recent revival of ways of being and explores some of the surrounding issues. (shrink)

Ontological pluralism is the view that there are different fundamental ways of being. Recent defenders of this view—such as Kris McDaniel and Jason Turner—have taken these ways of being to be best captured by semantically primitive quantifier expressions ranging over different domains. They have thus endorsed, what I shall call, quantificational pluralism. I argue that this focus on quantification is a mistake. For, on this view, a quantificational structure—or a quantifier for short—will be whatever part or aspect of reality’s structure (...) that a quantifier expression carves out and reflects. But if quantificational pluralism is true, then a quantifier should be more natural than its corresponding domain; and since it does not appear to be the case that a quantifier is more natural than its corresponding domain, quantificational pluralism does not appear to be true. Thus, I claim, an ontological pluralist should not be a quantificational pluralist. (shrink)

Ontological pluralism is the view that there are different fundamental ways of being. Trenton Merricks has recently raised three objections to combining pluralism with a generic way of being enjoyed by absolutely everything there is: first, that the resulting view contradicts the pluralist’s core intuition; second, that it is especially vulnerable to the charge—due to Peter van Inwagen—that it posits a difference in being where there is simply a difference in kind; and, third, that it is in tension with various (...) historically influential motivations for pluralism. I reply to each of these objections in turn. My replies will help to bring out the true nature of the pluralist’s basic commitments. (shrink)

This article aims to provide a new solution to the Logical Problem of the Incarnation by proposing a novel metaphysical reconstrual of the method of reduplicative predication. This reconstrual will be grounded upon the metaphysical thesis of ‘Ontological Pluralism, proposed by Kris McDaniel and Jason Turner, and the notion of an ‘aspect’ proposed by Donald L. M. Baxter. Utilising this thesis and notion will enable the method of reduplicative predication to be further clarified, and the central objection that is often (...) raised against this approach can be successfully answered. (shrink)

According to K. McDaniel’s and J. Turner’s Ontological Pluralism, there are many ways of being that are more fundamental than being in general. In this paper, I shall analyze some constraints on this doctrine. Among other, ontological pluralists are committed to the idea that there are no things that have no way of being at all and that it is not legitimate to quantify over ways of being. Later on, I shall introduce a problem for ontological pluralism: if there is (...) a privileged way of being an ontological pluralist, then, given those constraints, ontological pluralists cannot logically express that privileged way. Finally, I shall justify the acceptance of a Half-Meinongian solution to this problem, that is roughly grounded on the acceptance of entities that have no way of being at all. (shrink)

This paper explores some variants and aspects of multi-quantificational criteria of existence, examining these in the context of the debate between monism and pluralism in analytical philosophy. Assuming familiarity with the findings to date, we seek to apply to these the newly introduced concepts of “substitution” and “substitutional model”. Possible applications of formal theories involving multiple types of existential quantifier are highlighted, together with their methods of construction. These considerations then lead to a thesis asserting the irrelevance of both multi-quantificational (...) criteria and assumptions involving quantificational ontology to the debate between monism and pluralism in ontology. Many quantifiers cannot properly distinguish different modes of existence–as we aim to show by furnishing a general method for constructing counter-examples to any theory that assumes that different types of existential quantifier correspond to different modes of existence. (shrink)

Quantifier variance entails that ‘there exists’ has a variety of meanings. Determining what makes all these meanings quantifier meanings is a problem associated with this view. A reasonable candidate suggested by Hirsch is the set of formal rules governing quantification. However, the collapse argument presents a notorious objection to the viability of the candidate: there cannot be more than one quantifier obeying the same rules up to logical equivalence. It is proposed that a quantifier variantist who intends to retain Hirsch’s (...) proposed solution can admit a many-sorted language in order to block the collapse argument. Within the many-sorted language, a Kaplanian thesis about the rules governing sorted quantifiers saves quantifier variance from meaning variance. (shrink)

With metaphysical philosophy gaining prominence in the aftermath of the Quine-Carnap debate, not only has it become assumed that the Quinean critique leaves ontological pluralism behind as an untenable approach, but also that the same is true of deflationism more generally. Building on Quine’s criticisms against the analytic-synthetic distinction and the notion of quantifier variance, contemporary metaphysicians like van Inwagen and Sider continue to argue for the untenability of deflationary approaches to metaontology. In this paper I will argue that Quine’s (...) criticisms do not provide sufficient grounds for revitalizing metaphysics, as the aforementioned metaphysicians conceive them as doing, and that they also don’t eliminate all hope for Carnapian pluralism. Furthermore, Carnap’s initial position may even yield the most promising route for the pluralistically inclined. Moreover, pluralism is often conceived as being equivalent with the narrower notion of quantifier variance, often associated with Hirsch and Putnam. As this notion often is attributed not only to Carnap and other pluralists, but also is taken to be an essential feature of deflationism, explicating how their merits in fact don’t necessarily coincide with those of quantifier variance will clarify matters. I will conclude by noting how neither pluralism nor deflationism is committed to quantifier variance, and thus how arguments against the latter don’t entail a refutation of the former. (shrink)

Within the context of the debate between ontological monists and pluralists the paper discusses a number of argumentative strategies that the latter can apply to answer the “there can be only one” argument. I show here that the reply to this argument suggested by J. Turner has its disadvantages and suggest a number of adjustments thereof. In particular, I develop a concept of domain-specific quantifiers that allow the pluralist to elaborate his or her ontological position.

We develop a theory about the metaphysics of time and modality that combines the conceptual resources devised in recent sympathetic work on ontological pluralism (the thesis that there are fundamentally distinct kinds of being) with the thought that what is past, future, and merely possible is less real than what is present and actual (albeit real enough to serve as truthmakers for statements about the past, future, and merely possible). However, we also show that despite being a coherent, distinctive, and (...) prima facie appealing position, the theory succumbs to what we call the “problem of mixed ontological status”. We conclude that the proponents of the theory can only evade these problems by developing ontological pluralism in a radically different way than it has been by its recent sympathizers. (shrink)

In this paper, I introduce a quantifier-pluralist theory of time, temporal quantifier relativism. Temporal quantifier relativism includes a restricted quantifier for every instantaneous moment of time. Though it flies in the face of orthodoxy, it compares favorably to rival theories of time. To demonstrate this, I first develop the basic syntax and semantics of temporal quantifier relativism. I then compare the theory to its rivals on three issues: the passage of time, the analysis of change, and temporal ontology.

In this paper, I develop a novel account of ideological kinds. I first present some conceptual territory regarding the use of Occam’s Razor in minimizing ontological commitments. I then present the analogous device for minimizing ideological commitments, what I call the Comb. I argue that metaphysicians ought to use both or none at all. This means that those who endorse a principle of ontological parsimony ought to also endorse some principle of ideological parsimony, where we ought to prefer the metaphysical (...) theory that employs less ideology. In support of one such principle, I propose a novel account of ideological kinds. I individuate ideological kinds based on the satisfaction of two conditions: interdefinability and sameness of syntactic category. Ultimately, I think this account is the best available. It does, however, produce surprising results. For instance, my account shows that quantifier pluralism is ideologically parsimonious. I end by replying to some objections. (shrink)

According to ontological nihilism there are, fundamentally, no individuals. Both natural languages and standard predicate logic, however, appear to be committed to a picture of the world as containing individual objects. This leads to what I call the \emph{expressibility challenge} for ontological nihilism: what language can the ontological nihilist use to express her account of how matters fundamentally stand? One promising suggestion is for the nihilist to use a form of \emph{predicate functorese}, a language developed by Quine. This proposal faces (...) a difficult objection, according to which any theory in predicate functorese will be a notational variant of the corresponding theory stated in standard predicate logic. Jason Turner (2011) has provided the most detailed and convincing version of this objection. In the present paper, I argue that Turner's case for the notational variance thesis relies on a faulty metasemantic principle and, consequently, that an objection long thought devastating is in fact misguided. (shrink)

I critically discuss two kinds of argument in favour of ontological pluralism and argue that they fail to show that ways of being are explanatorily fruitful.

Intuitivamente, la realidad está formada por entidades y hechos existentes y concretos. Sin embargo, nuestro lenguaje y pensamiento versa también sobre hechos meramente posibles, sobre cosas inexistentes y entidades abstractas. ¿Cómo es esto posible? ¿Significa ello que cuando hablamos y pensamos de estas otras cosas no hablamos de nada real? ¿o mas bien la realidad está mas poblada de lo que pensábamos y hay diferentes maneras de formar parte de la realidad además de la de existir de manera positiva y (...) concreta? En este libro trataremos de arrojar luz a estas y otras preguntas similares, poniendo atención a las estrategias argumentativas generales que suelen esgrimirse en esta rama de la filosofía. (shrink)

This article aims to provide a metaphysical elucidation of the notion of Theism and a coherent theological synthesis of two extensions of this notion: Classical Theism and Neo-Classical Theism. A model of this notion and its extensions is formulated within the ontological pluralism framework of Kris McDaniel and Jason Turner, and the (modified) modal realism framework of David Lewis, which enables it to be explicated clearly and consistently, and two often raised objections against the elements of this notion can be (...) successfully answered. (shrink)

The thesis of quantifier variance is consistent and cannot be refuted via a collapse argument.

Few views are as widely held as the Standard View of Identity. Here I am concerned with minority views that depart from the standard account. First, I attempt to illuminate such views and the debates concerning them by identifying the principles of identity at issue, articulating some of the assumptions underlying the debates, and presenting some of the evidence used against the Standard View of Identity. Second, I enter two of these debates myself. I first defend two Non-Standard Views of (...) Identity from the charge that they violate a principle of identity, namely the Transitivity of Identity. I then present an overlooked consequence of another Non-Standard View of Identity that challenges the view on one of its own methodological principles. Third, I draw on recent work in ontological and parthood pluralism to show how one might be led to think that there is more than one way of being identical. That is, I show how one might be an identity pluralist. (shrink)

This thesis comprises three main chapters—each comprising one relatively standalone paper. The unifying theme is fragmentalism about truth, which is the view that the predicate “true” either expresses distinct concepts or expresses distinct properties. -/- In Chapter 1, I provide a formal development of alethic pluralism. Pluralism is the view that there are distinct truth properties associated with distinct domains of subject matter, where a truth property satisfies certain truth-characterizing principles. On behalf of pluralists, I propose an account of logic (...) and semantics that shows how they can answer central conceptual and logical challenges for their view. -/- In Chapter 2, I motivate and develop a modal account of propositions on the basis of an iterative conception of propositions, where the modality is logico-mathematical. The modal account of propositions takes the conception to motivate an inherently potential hierarchy of propositions. I show that the account helps provide satisfying solutions to the intensional paradoxes of Russell-Myhill, Kaplan, and Prior. -/- In Chapter 3, I propose that “true” is polysemous. I suggest that “true” is initially polysemous between correspondence truth and disquotational truth, and further polysemous between the meanings corresponding to the subconcepts of the concept truth generated by the indefinite extensibility of that concept. I show that the proposal provides satisfying solutions to the semantic paradoxes. (shrink)

The aim of the paper is to bring clarity regarding the doctrine of quantifier variance (due to Eli Hirsch), and two prominent arguments against this doctrine, the collapse argument and the Eklund-Hawthorne argument. Different versions of the doctrine of quantifier variance are distinguished, and it is shown that the effectiveness of the arguments against it depends on what version of the doctrine is at issue. The metaontological significance of the different versions of the doctrine are also assessed. Roughly, quantifier variance (...) concerns there being different possible existential quantifier meanings, and often the doctrine involves a claim to the effect there is no unique “best” quantifier meaning. Much of the discussion in the paper concerns what it is to be an existential quantifier meaning in the sense at issue. (shrink)