This paper discusses a recent puzzle concerning the notions of boundary parthood and dependence, and offers a new solution. The puzzle was originally presented by Jeroen Smid and successively elaborated upon by Claudio Calosi. I first reformulate some of the troublesome premises. Particularly, whereas Smid and Calosi discuss the puzzle in terms of an underspecified notion of dependence, I propose to construe it in terms of the notion of grounding. In this manner, the dependence relation inherently carries an asymmetry, and (...) we can effectively utilize its four places. The solution I advance precisely takes advantage of this feature of dependence. My proposal avoids the contradiction while still respecting the intuitions driving the original premises. It is also fully compatible with boundaries being only generically dependent on their wholes. (shrink)

Late Lowe’s metaphysics of material objects is an interesting multi-thingist theory that still attracts interest from various authors. The core idea is that ifxmaterially constitutesy, thexis a proper part ofy. I discuss some mereological issues that arise from the approach and propose a revision of the mereology associated. Particularly, I examine the tenability of a number of supplementation principles and conclude that just one may serve the theory adequately. Still, the endorsement of such a principle does not come for free. (...) Successively, I address the derivability of an important extensionality theorem and conclude that the theorem must be taken as an axiom in the mereology at stake. Lastly, I discuss two notable definitions of mereological fusions to assess which one best suits the present theory. The result is that authors sharing Lowe’s multi-thingist conception of material objects can still enjoy a moderately strong mereology. (shrink)

What does it mean that some proposition follows from others? The standard way of spelling out the notion proceeds in modal terms: x follows from y iff necessarily, if y is true, so is x. But although this yields a useful and manageable account of consequence, it fails to capture certain aspects of our pre-theoretical understanding of consequence. In this paper, an alternative notion of logical consequence, based on the idea of grounding, is developed.

Adherents of Ockham’s fundamental razor contend that considerations of ontological parsimony pertain primarily to fundamental objects. Derivative objects, on the other hand, are thought to be quite unobjectionable. One way to understand the fundamental vs. derivative distinction is in terms of the Aristotelian distinction between ontologically independent and dependent objects. In this paper I will defend the thesis that every natural number greater than 0 is an ontologically dependent object thereby exempting the natural numbers from Ockham’s fundamental razor.

Consider a circle and a pair of its semicircles. Which is prior, the whole or its parts? Are the semicircles dependent abstractions from their whole, or is the circle a derivative construction from its parts? Now in place of the circle consider the entire cosmos (the ultimate concrete whole), and in place of the pair of semicircles consider the myriad particles (the ultimate concrete parts). Which if either is ultimately prior, the one ultimate whole or its many ultimate parts?

‘‘Thus I believe that there is no part of matter which is not—I do not say divisible—but actually divided; and consequently the least particle ought to be considered as a world full of an infinity of different creatures.’’ (Leibniz, letter to Foucher).

The article is a critical examination of Joshua Hoffman’s and Gary Rosenkrantz’ approach to the traditional category of individual substance. On several places they offered an analysis of the concept of a substance in terms of some highly sophisticated notion of generic independence. Though ingenious, and even though it might be extensionally adequate, their account cannot provide an informative analysis of the concept in question, because it exhibits a peculiar kind of circularity. It is shown that one cannot establish, on (...) the basis of their analysis, that a given entity is a substance, if one does not already know that it is one in advance. The circularity of their account is examined in detail, and it is explained how it could have arisen. (shrink)

The paper deals with the notions of grounding and of existential dependence. It is shown that cases of existential dependence seem to be systematically correlated to cases of grounding and hence the question is raised what sort of tie might hold the two notions together so as to account for the observed correlation. The paper focusses on three possible ties between grounding and existential dependence: identity, definition, and grounding. A case for the definitional tie is made.

Mereological nihilism is the view that all concrete objects are simple. Existence monism is the view that the only concrete object is one big simple: the world. I will argue that nihilism culminates in monism. The nihilist demands the simplest sufficient ontology, and the monist delivers it.

In spite of its significance for everyday and philosophical discourse, the explanatory connective has not received much treatment in the philosophy of logic. The present paper develops a logic for based on systematic connections between and the truth-functional connectives.

The main contribution of this paper is a novel account of ontological dependence. While dependence is often explained in terms of modality and existence, there are relations of dependence that slip through the mesh of such an account. Starting from an idea proposed by Jonathan Lowe, the article develops an account of ontological dependence based on a notion of explanation; on its basis, certain relations of dependence can be established that cannot be accounted by the modal-existential account. Dependence is only (...) one of two main topics of this paper, for it is approached via a discussion of the category of substance. On a traditional view, substances can be characterised as independent entities. Before the background of a modal-existential account of dependence, this idea appears problematic. The proposed notion of explanatory dependence is shown to vindicate the traditional approach to substance. (shrink)

A Norwegian translation is here offered of Eugenie Ginsberg’s paper «Zur Husserlschen Lehre von den Ganzen und den Teilen» (in Archiv für systematische Philosophie und Soziologie 32, 1929, 108–120). The paper discusses Husserl’s six theorems from Logical Investigations III, §14. Ginsberg provides new proofs for theorems 1 and 3, and also endorses theorem 5. In contrast, a counter example is given to theorems 2, 4, and 6: However, proofs are supplied for a modified version of these theorems. Furthermore, an additional (...) three theorems are defended based upon Ginsberg’s modified theorems. Also, a brief introduction is given discussing Ginsberg’s pioneering role as part of the Lvov-Warsaw school—in spite of her being murdered by the Nazis in 1942—especially her role as the first commentator on Husserl’s third logical investigations, which is a pioneering work on mereology and ontology; but also her later publication from 1931 where she developed several notions of ontological dependence (for instance foreshadowing the work of Roman Ingarden as well as Kit Fine). (shrink)

I review Sandra Lapointe (ed.) "Themes from Ontology, Mind, and Logic: Present and Past – Essays in Honour of Peter Simons".

This paper proposes an integrated-structure notion of interlevel emergence, from a dynamic relational ontological perspective. First, I will argue that only the individualist essentialism of atomistic metaphysics can block the possibility of interlevel emergence. Then I will show that we can make sense of emergence by recognizing the formation of structures of transformative and interdependent causal relations in the generation and development of a particular class of mereological complexes called integrated systems. Finally, I shall argue that even though the emergent (...) structural attributes of such systems are not micro-determined nor micro-reducible, they can still be accounted for by an interlevel integrative neo-mechanistic form of explanation. (shrink)

This article gives an overview of the mereological thought of the medieval philosopher and theologian Saint Thomas Aquinas. Until the 20th century mereology—the study of the relationship of whole and part—was not generally recognized as a distinct domain of philosophy and so Aquinas, like most of his contemporaries, has no single systematic treatment of it as a topic in its own right. However, a cohesive account of part‐whole relations can be pieced together from the various metaphysical, ethical and theological contexts (...) in which Aquinas deals with mereological issues. In this article, I give an account of both Aquinas's conceptual understanding of composition and his taxonomy of the different kinds of wholes and parts that there are. I end with comments on three marginal cases of mereological relationships in Aquinas's philosophy. (shrink)

As I will use the term, an object is a mereological sum of some things just in case those things compose it simply in virtue of existing. In the first half of this paper, I argue that there are no sums. The key premise for this conclusion relies on a constraint on what, in certain cases, it takes for something to ground, or metaphysically explain, something else. In the second half, I argue that in light of my argument against sums, (...) Universalism, which is perhaps the most widely accepted answer to the Special Composition Question, is false. (shrink)

Spatiotemporal and qualitative continuity are not sufficient to trace the career or path of one and the same object through its history. One needs sortal continuity, guaranteed by the form-token of the object. In this paper I concentrate on the question of sortal continuity linked to the problem of the cohabitation of objects. I intend to test whether it is possible to stick to the belief in continuants or endurers as well as the sortal dependence of identity and at the (...) same time avoid an undesirable multiplication of spatially coinciding objects, i.e., avoid the thesis of cohabitation. I abandon the philosophical view – this is the price to be paid – that the set of the material constituents making up an object is an object proper. The basic units of reality are the objects falling under sortals and not the ultimate components thereof. That a determinate piece of copper is not identical with the statue made from it, therefore, does not imply that we have a cohabitation of two numerically different objects. (shrink)

Quine taught us the difference between a theory’s ontology and its ideology. Ontology is the things a theory’s quantifiers must range over if it is true, Ideology is the primitive concepts that must be used to state the theory. This allows us to split the theoretical virtue of parsimony into two kinds: ontological parsimony and ideological parsimony. My goal is help illuminate the virtue of ideological parsimony by giving a criterion for ideological innocence—a rule for when additional ideology does not (...) count against parsimony. I propose the expressive power innocence criterion: if the ideology of theory one is expressively equivalent to that of theory two, then neither is ideologically simpler than the other. In its favor I offer the argument from accuracy, showing that any account of a theoretical virtue that is supposed to make theories that have it more likely to be true than theories that do not must respect it. Next I consider its ramifications, eliminating rival views and passing judgment on some arguments from parsimony that can be found in the literature. Finally, I consider two objections. First: I address an objection arising from the possibility of languages with a ‘primitive’ operator that allows us to list a theory’s primitives in the object-language. Second: I address an objection raised by Nelson Goodman against attempts to reckon simplicity by expressive power. Both objections fail. (shrink)

When Aristotle argues at the Metaphysics Z.17, 1041b11–33 that a whole, which is not a heap, contains ‘something else’, i.e. the form, besides the elements, it is not clear whether or not the form is a proper part of the whole. I defend the claim that the form is not a proper part within the context of the relevant passage, since the whole is divided into elements, not into elements and the form. Different divisions determine different senses of ‘part’, and (...) thus the form is not a part in the same sense as the elements are parts. I object to Koslicki’s (2006) interpretation, according to which the form is a proper part along the elements in a single sense of ‘part’, although she insists that the form and the elements belong to different categories. I argue that Koslicki’s reading involves a category mistake, i.e. the conjunction of items that do not belong to the same category (Goldwater 2018). Since for Aristotle parthood presupposes some kind of similarity of parts, the conjunction of form and elements requires treating these items as somehow belonging to the same category, e.g. ‘being’, but no such category exists. (shrink)

When do the folk think that mereological composition occurs? Many metaphysicians have wanted a view of composition that fits with folk intuitions, and yet there has been little agreement about what the folk intuit. We aim to put the tools of experimental philosophy to constructive use. Our studies suggest that folk mereology is teleological: people tend to intuit that composition occurs when the result serves a purpose. We thus conclude that metaphysicians should dismiss folk intuitions, as tied into a benighted (...) teleological view of nature. (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)

What I call the argument from almost indiscernibles is an argument, put forward by Robert Adams in 1979, for the possibility of indiscernibles based on the possibility of almost indiscernibles. The argument is that if almost indiscernibles are possible, indiscernibles are possible, but since almost indiscernible are possible, indiscernibles are possible. The argument seems to be an improvement over the mere appeal to intuitions, like that suggested by Max Black, that situations in which there are indiscernibles are possible, for the (...) argument purports to give us a reason that indiscernibles are possible. In this paper I shall assess the argument by examining whether there is support for the conditional premise that if almost indiscernibles are possible, indiscernibles are possible. I shall argue that there are reasons to think that either the premise lacks support or almost indiscernibles are dispensable. If the premise lacks support, the argument does not establish the possibility of almost indiscernibles; if almost indiscernibles are dispensable, the argument is not needed to establish the possibility of indiscernibles. (shrink)

We think of the world around us as divided into physical objects like toasters and daisies, rather than solely as a smear of properties like yellow and smooth. How do we single out these objects? One theory of object concepts uses part‐of relations and relations of connectedness. According to this proposal, an object is a connected spatial item of maximal extent: Any other connected item that overlaps (i.e., shares a part with) the object must be a part of that object. (...) This article reports four experiments that test this proposal. Participants see descriptions or diagrams of spatial items that vary across trials in their relative positions. In separate experiments, participants decide whether the items are physical objects, whether they are wholes, or how many objects are present. All experiments find support for connectedness as a contributor to object status, but they find little support for maximality. The results suggest that maximality is not a necessary feature of wholes or of objects. (shrink)

Archaeology is currently bound to a series of metaphysical principles, one of which claims that reality is composed of a series of discrete objects. These discrete objects are fundamental metaphysical entities in archaeological science and posthumanist/new Materialist approaches and can be posited, assembled, counted, and consequently included in quantitative models (e.g. Big Data, Bayesian models) or network models (e.g. Actor-Network Theory). The work by Sørensen and Marila shows that archaeological reality is not that discrete, that some objects cannot be easily (...) identified, and that perhaps reality is not always necessarily composed of discrete objects. The aim of this article is to take Sørensen and Marila’s arguments to their ultimate logical consequences: most archaeological theory today operates under the illusion of a general metaphysics. This illusion dictates not only that all of reality is composed of discrete objects, but that since reality manifests in a certain way, there has to be a methodology that accurately represents that reality. A brief discussion on the notion of “conjecture,” as conceived in certain historical theories, is also presented. (shrink)

This is a survey of the concept of continuity. Efforts to explicate continuity have produced a plurality of philosophical conceptions of continuity that have provably distinct expressions within contemporary mathematics. I claim that there is a divide between the conceptions that treat the whole continuum as prior to its parts, and those conceptions that treat the parts of the continuum as prior to the whole. Along this divide, a tension emerges between those conceptions that favor philosophical idealizations of continuity and (...) those that are more readily available for mathematico-scientific use. (shrink)

In recent philosophy of mathematics avariety of writers have presented ``structuralist''views and arguments. There are, however, a number ofsubstantive differences in what their proponents take``structuralism'' to be. In this paper we make explicitthese differences, as well as some underlyingsimilarities and common roots. We thus identifysystematically and in detail, several main variants ofstructuralism, including some not often recognized assuch. As a result the relations between thesevariants, and between the respective problems theyface, become manifest. Throughout our focus is onsemantic and metaphysical issues, (...) including what is orcould be meant by ``structure'' in this connection. (shrink)

In a recent article in this journal, Achille Varzi (2009) argues that mereological universalism (U) entails mereological extensionalism (E). The thesis that U entails E (call it ‘T’) has important implications. For example, as is well known, T plays a crucial role in Peter van Inwagen’s argument against universalism (1990: 74–79). In what follows, I show that Varzi’s arguments for T rely on a tendentious assumption about parthood.

In this paper we wish to raise the following question: which conceptual obstacles need to be overcome to arrive at a scientific and theoretical understanding of the mind? In the course of this examination, we shall encounter methodological and explanatory challenges and discuss them from the point of view of the philosophy of chemistry and quantum mechanics. This will eventually lead us to a discussion of emergence and metaphysics, thereby focusing on the status of objects. The question remains whether this (...) could be interpreted in terms of a re-description or dissolution of seemingly troubling problems in the philosophy of mind, or whether it further emphasizes the problematic: the ubiquitous and irreducible role of mind and consciousness in scientific activities. (shrink)

Physicalism is usually understood as the claim that every empirical entity is or is determined by physical entities. The claim is however imprecise until it is clarified what are the physical entities in question. A sceptical argument in the form of a dilemma tries to show that this problem of formulation of physicalism cannot be adequately met. If we understand physical entities as the entities introduced by current physics, the resulting claim becomes most probably false. If we instead understand physical (...) entities as those entities introduced by some future ideal physics, the claim then becomes indeterminate in content. Both horns seem equally bad. In the first part of the paper, I survey the strengths and weaknesses of different proposed solutions to this problem of formulation. In the second part, I lay out a new formulation of physicalism, partly based on a mereological principle, which overcomes the dilemma, and argue that it is a correct formulation of physicalism to the extent that it rules out clear antiphysicalist scenarios and is compatible with clear physicalist scenarios. (shrink)

I defend the view that ordinary objects like statues are identical to the pieces of matter from which they are made. I argue that ordinary speakers assert sentences such as ‘this statue is a molded piece of clay’. This suggests that speakers believe propositions which entail that ordinary objects such as statues are the pieces matter from which they are made, and therefore pluralism contradicts ordinary beliefs. The dominant response to this argument purports to find an ambiguity in the word (...) ‘is’, such that ‘is’ in these sentences means the same as ‘constitutes or is constituted by’. I will use standard tests for ambiguity to argue that this strategy fails. I then explore and reject other responses to the argument. (shrink)

Aristotle holds that individual substances are ontologically independent from nonsubstances and universal substances but that non-substances and universal substances are ontologically dependent on substances. There is then an asymmetry between individual substances and other kinds of beings with respect to ontological dependence. Under what could plausibly be called the standard interpretation, the ontological independence ascribed to individual substances and denied of non-substances and universal substances is a capacity for independent existence. There is, however, a tension between this interpretation and the (...) asymmetry between individual substances and the other kinds of entities with respect to ontological independence. I will propose an alternative interpretation: to weaken the relevant notion of ontological independence from a capacity for independent existence to the independent possession of a certain ontological status. (shrink)

Aristotle's notion of matter has been seen either as unintelligible, it being some mysterious potential entity that is nothing in its own right, or as simply the notion of an everyday object. The latter is the common assumption in contemporary approaches to hylomorphism, but as has been pointed out, especially by scholars with a background in ancient philosophy, if we conceive of matter as an object itself we cannot account for the unity of hylomorphic substances. Thus, they assume that a (...) hylomorphic substance is an essential unity and matter not a constituent at all. This solution to the problem of unity, however, brings us back to the mysterious notion of matter. For these reasons, I will revisit Aristotle's conception of matter in this paper. I will argue that an understanding of form as a cause of being requires that matter be an independent constituent of the individual substance. However, I agree that the conception of matter as an individual object with an essence makes it impossible to solve the problem of unity. We therefore need to take seriously Aristotle's assertion that matter is nothing in its own right and not an individual. By denying that matter is an individual, Aristotle does not introduce a mysterious entity, nor does he deny that it can be identified independently of the whole; instead, matter for Aristotle is an irreducible plurality, and this explains why it is not an individual and has no essence. I will conclude with some observations on how this gives rise to two competing versions of hylomorphic constitution. (shrink)

I argue for patternism, a new answer to the question of when some objects compose a whole. None of the standard principles of composition comfortably capture our natural judgments, such as that my cat exists and my table exists, but there is nothing wholly composed of them. Patternism holds, very roughly, that some things compose a whole whenever together they form a “real pattern”. Plausibly we are inclined to acknowledge the existence of my cat and my table but not of (...) their fusion, because the first two have a kind of internal organizational coherence that their putative fusion lacks. Kolmogorov complexity theory supplies the needed rigorous sense of “internal organizational coherence”. (shrink)

It seems that the theories of language of the present century can be classified into two basic groups. The approaches of the first group perceive language as a mathematical structure and understand any theory of language as a kind of application of mathematics or logic. Their ideological background is furnished by logical positivism and analytical philosophy (esp. by Russell, Carnap, Wittgenstein and their followers); and their practical output is Chomskian formal syntax and subsequent formal semantics. The approaches of the other (...) group do not approve of formalization and consider a theory of language closer to psychology than to mathematics. The specific position within this group is occupied by the so-called structuralists (de Saussure, Hjelmslev, Derrida). (shrink)

Although Aristotle does not explicitly address persistence, his account of persisting may be derived from a careful consideration of his account of change. On my interpretation, he supposes that motions are mereological unities of their potential temporal parts – I dub such mereological unities ‘lasting’. Aristotle’s persisting things, too, are lasting, I argue. Lasting things are unlike enduring things in that they have temporal parts; and unlike perduring things in that their temporal parts are not actual, but rather are potential. (...) Lasting, that is Aristotle’s persisting, is thus a distinctive alternative to enduring and perduring. I assess this alternative showing it to be attractive. (shrink)

Aristotle’s solution to Zeno’s arrow paradox differs markedly from the so called at-at solution championed by Russell, which has become the orthodox view in contemporary philosophy. The latter supposes that motion consists in simply being at different places at different times. It can boast parsimony because it eliminates velocity from the ontology. Aristotle, by contrast, solves the paradox by denying that the flight of the arrow is composed of instants; rather, on my reading, he holds that the flight is a (...) unity which is ontologically prior to the temporal parts that may be abstracted from it. I label this position temporal holism; and an entity that is ontological prior to its temporal parts lasting. Lasting, I argue, is the key to Aristotle’s solution to the arrow paradox, but it has received insufficient attention in the relevant literature. I therefore set out here to investigate lasting and highlight its major role in Aristotle’s metaphysics more broadly, and in his solution to other problems of change. I show, too, how lasting within a contemporary context underwrites a parsimonious and intuitive solution to the arrow paradox that retains instantaneous velocity, and hence solves a problem for those who think velocity is required within the ontology to underwrite certain causal roles. (shrink)

Metaphysicians of various stripes claim that a single object can have more than one exact location in space or time – e.g. endurantists claim that an object persists by being ‘all there’ at different moments in time. Antony Eagle has developed a formal theory of location which is prima facie consistent with multi-location, but Damiano Costa and Claudio Calosi argue that the theory is unattractive to multi-location theorists on other grounds. I examine their charge that Eagle’s theory won’t allow an (...) endurantist to account for certain cases of mereological change. I argue that the charge sticks, but not for the reasons Costa and Calosi think. Along the way, I explore an issue which is underexplored in their paper, namely, how an endurantist might modify Eagle’s theory to incorporate a parthood relation which obtains, not absolutely, but only relative to times. (shrink)

Monists about material constitution typically argue that when Statue is materially constituted by Clay, Statue is just Clay. Pluralists about material constitution deny that constitution is identity: Statue is not just Clay. When Clay materially constitutes Statue, Clay is not identical to Statue. I discuss three familiar puzzles involving grounding, overdetermination and conceptual issues, and develop three new puzzles stemming from the connection between mereological composition and material constitution: a mereological puzzle, an asymmetry puzzle, and a structural puzzle.

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

In this paper, I argue that the spatiotemporalist approach way of modeling the fundamental constituents, structure, and composition of the world has taken a wrong turn. Spatiotemporalist approaches to fundamental structure take the fundamental nature of the world to be spatiotemporal: they take the category of spatiotemporal to be fundamental. I argue that the debates over the nature of the fundamental space in the physics show us that (i) the fact that it is conceivable that the manifest world could be (...) exactly as it appears to us, even though spatiotemporal entities are not fundamental, means that a central premise of spatiotemporalism, that we may assume, given ordinary experience, that the world is fundamentally spatiotemporal, is false. (ii) Spatiotemporalism must be seen as a contingent, a posteriori physical truth. Finally, (iii) I argue that a metaphysically deeper conclusion follows from the debate over the nature of the fundamental space. The debate in physics over which sort of space is the fundamental space suggests that physicists have discovered that, even if a spacetime is an actual constituent of the world-space category, there is a world-space category that is more fundamental than the category of spacetime. (shrink)

Weatherson argues that whoever accepts classical logic, standard mereology and the difference between vague objects and any others, should conclude that there are no vague objects. Barnes and Williams claim that a supporter of vague objects who accepts classical logic and standard mereology should recognize that the existence of vague objects implies indeterminate identity. Even though it is not clearly stated, they all seem to be committed to the assumption that reality is ultimately constituted by mereological atoms. This assumption is (...) not granted by standard mereology which instead remains silent on whether reality is atomic or gunky; therefore, I contend that whoever maintains classical logic, standard mereology and the difference between vague objects and any others, is not forced to conclude with Weatherson that there are no vague objects; nor is she compelled to revise her point of view according to Barnes and Williams’s proposal and to accept that the existence of vague objects implies indeterminate identity. (shrink)

Basic Formal Ontology (BFO) is a top-level ontology consisting of thirty-six classes, designed to support information integration, retrieval, and analysis across all domains of scientific investigation, presently employed in over 350 ontology projects around the world. BFO is a genuine top-level ontology, containing no terms particular to material domains, such as physics, medicine, or psychology. In this paper, we demonstrate how a series of cases illustrating common types of change may be represented by universals, defined classes, and relations employing the (...) BFO framework. We provide discussion of these cases to provide a template for other ontologists using BFO, as well as to facilitate comparison with the strategies proposed by ontologists using different top-level ontologies. (shrink)

What is a temporal part? Most accounts explain it in terms of timeless parthood: a thing's having a part without temporal qualification. Some find this hard to understand, and thus find the view that persisting things have temporal parts--fourdimensionalism--unintelligible. T. Sider offers to help by defining temporal parthood in terms of a thing's having a part at a time. I argue that no such account can capture the notion of a temporal part that figures in orthodox four-dimensionalism: temporal parts must (...) be timeless parts. This enables us to state four-dimensionalism more clearly. (shrink)

The purpose of this paper is to propose a satisfying model-theoretic account of the notions of singularity, collective plurality, and distributive plurality expressed by both the nouns and the verbs of Papago according to Mathiot (1983). The approach will be algebraic in the sense of Link (1983). Informally, our proposal is that while English has only one form of plurality, Papago has two: one based on identity and the other on equivalence. The identity-based plural is one that Papago shares with (...) English and other Indo-European languages; the equivalence-based plural, on the other hand, is characteristic of Papago and other Native American languages. The extreme elaboration of the notion of multiplicity expressed in Papago follows from this proposal, given sufficiently rich models and independently motivated principles governing the semantics of roots (Wackernagel 1920; Ojeda 1993; Eschenbach 1993), markedness (Jakobson 1957), and verbs (Davidson 1967; Parsons 1990). (shrink)