In R. Holte and A. Howe (eds.), Proceedings of the Twenty-Second AAAI Conference on Artificial Intelligence (AAAI-07).

Naive mereology studies ordinary conceptions of part and whole. Parts, unlike portions, have objective boundaries and many things, such as dances and sermons have temporal parts. In order to deal with Mark Heller's claim that temporal parts "are ontologically no more or less basic than the wholes that they compose," we retell the story of Laplace's Genius, here named "Swifty." Although Swifty processes lots of information very quickly, his conceptual repertoire need not extend beyond fundamental physics. So (...) we attempt to follow Swifty's progress in the acquisition of ordinary concepts such as 'table'. (Puzzles of precision and intrusion appear along the way.) Swifty has to understand what tables are before understanding what temporal portions of tables are. This is one reason for regarding tables as ontologically prior to table portions. intrusion appear along the way.). (shrink)

In ‘Essential stuff' (2008) and ‘Stuff' (2009), Kristie Miller argues that two generally accepted theses, often formulated as follows, are incompatible: - (Temporal) mereological essentialism for stuff (or matter), the thesis that any portion of stuff has the same parts at every time it exists. - Stuff composition, the thesis that for any two portions of stuff, there exists a portion of stuff that is their mereological sum (or fusion). She does this by considering competing hypotheses about stuff, trying (...) to prove inconsistency in all cases and with all corresponding understandings of mereological essentialism and stuff composition. I explain why, from an endurantist standpoint, her argument does not go through. (shrink)

This paper approaches Husserl’s analysis of time-consciousness from a mereological perspective. Taking as inspiration Bergson’s idea that pure durée is a multiplicity of interpenetration, I will show, from within Husserlian phenomenology, that the absolute flow can indeed be described as a whole of interpenetrating parts. This mereological perspective will inform my re-consideration of the much-discussed issue of Husserl’s self-criticism concerning the schema of content and apprehension. It will also reveal a fundamental similarity between Husserl’s conception of the absolute flow and (...) Sartre’s conception of lived temporality. This paper consists of four sections. Section 2 presents the basic elements of Husserl’s mereology. Section 3 introduces the difficulty encountered by Husserl’s early account of time that makes use of the schema. I will examine Barry Dainton’s criticism of Husserl’s theory of time-consciousness against the background of the older debate between Meinong and Stern, a debate that has informed Husserl’s own account. Section 4 distinguishes two common criticisms of the schema from Husserl’s own self-criticism, which is in turn divided into two steps. It is shown how the second step of this self-criticism implies the interpenetration of the absolute flow and responds to Dainton’s criticism. Finally, Sect. 5 concludes with some comparative remarks. I will show how Husserl’s notion of absolute flow, as mereologically interpreted, anticipates Sartre’s conception of consciousness as self-transcendence, as well as how it accommodates the apparently conflicting mereological intuitions of Aristotle and Bergson. (shrink)

I develop and defend a novel answer to Peter van Inwagen’s ‘Special Composition Question,’ (SCQ) namely, under what conditions do some things compose and object? My answer is that things will compose an object when and only when they exist simultaneously relative to a reference frame (I call this ‘Temporally Restricted Composition’ or TREC). I then show how this view wards off objections given to ‘Unrestricted Mereology’ (UM). TREC, unlike other theories of Restricted Composition, does not fall prey to (...) worries about vagueness, anthropocentrism, or arbitrariness. TREC also has advantages over all the other answers to the SCQ. TREC is an account an A-theorist anti-Eternalist who wants an unrestricted mereology should accept. I also engage in some conceptual hygiene by showing how UM, as it should be used, should not, in itself, entail or contain a commitment to either Eternalism or Four-Dimensionalism. (shrink)

This volume is the first systematic and thorough attempt to investigate the relation and the possible applications of mereology to contemporary science. It gathers contributions from leading scholars in the field and covers a wide range of scientific theories and practices such as physics, mathematics, chemistry, biology, computer science and engineering. Throughout the volume, a variety of foundational issues are investigated both from the formal and the empirical point of view. The first section looks at the topic as it (...) applies to physics. The section addresses questions of persistence and composition within quantum and relativistic physics and concludes by scrutinizing the possibility to capture continuity of motion as described by our best physical theories within gunky space times. The second part tackles mathematics and shows how to provide a foundation for point-free geometry of space switching to fuzzy-logic. The relation between mereological sums and set-theoretic suprema is investigated and issues about different mereological perspectives such as classical and natural Mereology are thoroughly discussed. The third section in the volume looks at natural science. Several questions from biology, medicine and chemistry are investigated. From the perspective of biology, there is an attempt to provide axioms for inferring statements about part hood between two biological entities from statements about their spatial relation. From the perspective of chemistry, it is argued that classical mereological frameworks are not adequate to capture the practices of chemistry in that they consider neither temporal nor modal parameters. The final part introduces computer science and engineering. A new formal mereological framework in which an indeterminate relation of part hood is taken as a primitive notion is constructed and then applied to a wide variety of disciplines from robotics to knowledge engineering. A formal framework for discrete mereotopology and its applications is developed and finally, the importance of mereology for the relatively new science of domain engineering is also discussed. (shrink)

A logic of intervals is proposed akin to the one published by Hamblin (Hamblin (1969) and (1971)). Like Hamblin's, the present system is also based on a single primitive. However, the work presented here differs from Hamblin's in a number of respects. Most importantly, the present system is explicitly based on mereological ideas in such a way that not only are the two notions of abutment and temporal order involved in Hamblin's primitive two-place relation "abuts at the earlier end" (...) distinguished ; the temporal ordering itself is built up from a symmetric mereological primitive. The present system is shown to be complete. (shrink)

This article proposes a mereological approach to the dao-you relation in the Daodejing. It is claimed here that dao and you can be conceived of as two integrated subregions, defined in terms of rules of composition and their persistence through time. It is shown that dao is an atemporal object (a fourdimensional unrestricted composition), whereas you is a temporal object (a three-dimensional restricted composition). This particular approach can provide a new understanding of essential issues in Daoist metaphysics.

Some claim that Composition as Identity (CI) entails Mereological Essentialism (ME). If this is right, then we have an effective modus tollens against CI: ME is clearly false, so CI is, too. Rather than deny the conditional, I will argue that a CI theorist should embrace ME. I endorse a theory of modal parts such that ordinary objects are spatially, temporally, and modally extended. Accepting modal parts is certainly beneficial to CI theorists, but it also provides elegant solutions to the (...) traditional puzzles of constitution, making it a competitive move in its own right. (shrink)

The philosophical discussion of emergence is often focused on properties of ‘wholes’ that are evaluated as emergent with respect to the properties of ‘parts’. Downward causation is, consequently, evaluated as some kind of causal influence of whole properties over parts properties. Yet, several important cases in scientific practice seem to be pursuing hypotheses of parts properties emerging from wholes properties, inverting the instinctive association of emergence with wholes. Furthermore, some areas of reflection which are very important for emergence, e.g., the (...) philosophy of consciousness, do not allow mapping properties onto part-whole organizations. The conceptual puzzle is solved by constructing a framework that disentangles the mereological dimension from the superventional dimension. By liberalizing the spatio-temporal allocation of emergent properties, the proposed dual framework could better capture the way in which emergence and downward causation are addressed in scientific practice. (shrink)

Hud Hudson has recently suggested a scenario intended to show that, assuming the doctrine of temporal parts and a sufficiently liberal view of composition, there are material objects that move faster than light. I accept Hudson's conditional but contend that his modus ponens is less plausible that the corresponding modus tollens. Reversed in this way, the argument stemming from the scenario raises the cost of mereological liberalism and advances the case for a principled restriction on diachronic composition.

In his Ted Sider takes care to define the notion of a temporal part and his doctrine of perdurantism using only the temporally indexed notion of parthood – ‘ x is part of y at t’ – rather than the atemporal notion of classical mereology – ‘ x is a part of y’ – in order to forestall accusations of unintelligibility from his opponents. However, as he notes, endurantists do not necessarily reject the classical mereological notion as unintelligible. (...) They allow that it makes sense and applies to atemporal subject matters and to temporal subject matters when the entities under discussion are not continuants. Thus, they allow that it makes sense to say that metaphysics is a part of philosophy, or that football is a game of two halves. What endurantists deny is only that the classical mereological notion is applicable to continuants: continuants , they say, have no proper parts simpliciter , either because it is false to say that they have or because it is unintelligible.Thus perdurantists do not have to embrace Sider's excessive caution in defining their position. 1 They can safely allow themselves classical mereological notions as long as it is a consequence of their definitions that continuants are perdurers/have temporal proper parts only if they have atemporal proper parts. 2In his Josh Parsons illuminatingly takes on the task he describes as ‘get[tting] the allegedly technical concepts of temporal part, perdurance and so on by ratcheting up from mereological relations, subregion relations among times and the concept of exact temporal location ’. He continues, ‘My definitions provide a good answer to those endurantists who claim …. (shrink)

Three Dimensionalists and Four Dimensionalists are engaged in a debate on the topics of persistence and mereology. In this paper, I explore implications of Four Dimensionalism for the formulation of the criterion of personhood and on the question of which individuals satisfy that criterion. In my discussion I argue that the Four Dimensionalist has reason to identify a human person with a proper part of a human organism, and that the Four Dimensionalist has reason to believe that if there (...) is something morally wrong with human abortion or infanticide, it cannot be grounded in claims about the moral status of persons. (shrink)

The specious present (James, 1890/1950) is the phenomenal temporal structure of the representational content of my present experience. This article is a study of the mereological structure of the specious present and what it reveals about the nature of the mind. I argue that the specious present has certain features that cannot be easily explained within the framework of physicalism about the mind — the view that consciousness is nothing over and above what is physical. In particular, the specious (...) present is a phenomenally extended (i.e.non-instantaneous) whole whose parts are conceptual abstractions and are therefore dependent on this whole. However, unlike the specious present, what is physical does not have this special property of the parts being dependent on the whole. Therefore, it is unclear how the specious present can be explained in physicalistic terms. (shrink)

Presents a unified semantics for various readings of 'together', using event mereology.

Lynne Rudder Baker and many others think that paradigmatic instances of one object constituting another—a piece of marble constituting a statue, or an aggregate of particles constituting a living body—involve two distinct objects in the same place at the same time. Some who say this believe in the doctrine of temporal parts; but others, like Baker, reject this doctrine. Such philosophers, whom one might call “coincidentalists”, cannot say that these objects manage to share space in virtue of sharing a (...) temporal part confined to just that place and time. But what can or should coincidentalists say about the nature of constitution? Many have analyzed the relation as one of sharing, “at some level”, all and only the same parts. Most have agreed that such massive part-sharing is at least a central component of and necessary condition for constitution. The heart of Baker’s Persons and Bodies, and its most significant contribution to the development of coincidentalism, is a theory of constitution that makes no appeal to mereology. The leading idea in Baker’s account is, instead, a modal one: objects belonging to constituted kinds are the necessary result of putting objects belonging to appropriate constituting kinds in the right circumstances, circumstances which the constituting objects need not have been in. So putting a piece of man-shaped marble in the right circumstances necessarily results in the existence of a second object, a statue, constituted by the marble; but the piece of marble need not have fallen into these circumstances or any others in which it would constitute a statue. (shrink)

Like most theories in first order metaphysics, theories of persistence generally aim at metaphysically necessary truth. Consequently, those that accept proper temporal parts of material entities are maximally competitive only when they accord with the full range of metaphysically possible temporal mereological structures. Consider, for example, a structure in which every element is a proper temporal part of some others. The present essay argues that temporal junk plausibly is possible and that perdurantism, the thesis that material (...) entities persist by having distinct proper temporal parts at distinct times, does not accord with it. The essay then outlines a novel four-dimensionalist theory of persistence that accommodates junk. On this theory, material entities persist not in virtue of possessing proper temporal parts, but rather in virtue of being grounded by certain pluralities of fundamental property instances over their careers, and by sub-pluralities thereof over corresponding sub-intervals of their careers. Accordingly, this way of persisting is dubbed ‘plurdurance’. (shrink)

According to the prevalent 'sum view' of stuffs, each portion of stuff is a mereological sum of its subportions. The purpose of this paper is to re-examine the sum view in the light of a modal temporal mereology which distinguishes between different varieties of summation relations. While admitting David Barnett's recent counter-example to the sum view, we show that there is nonetheless an important sense in which all portions of stuff are sums of their subportions. We use our (...) summation relations to develop, as an alternative to the sum view, an analysis of stuffs that distinguisher between the ways in which different sorts of stuffs are sums of their subportions. (shrink)

This book is about matter. It involves our ordinary concept of matter in so far as this deals with enduring continuants that stand in contrast to the occurrents or processes in which they are involved, and concerns the macroscopic realm of middle-sized objects of the kind familiar to us on the surface of the earth and their participation in medium term processes. The emphasis will be on what science rather than philosophical intuition tells us about the world, and on chemistry (...) rather than the physics that is more usually encountered in philosophical discussions. It is the everyday science of matter characterised by differences of chemical substance that constitutes individuated macroscopic bodies of geological and biological complexity—the continuous matter of macroscopic theory and described by mass terms. -/- The discussion might be characterised as descriptive metaphysics, being content, to paraphrase Strawson’s use of the term, to describe the structure of our scientific thought about the actual world. The method in the central chapters dealing with the nature of matter will be to pursue key steps in the historical development of scientific thought about chemical substance and related concepts with a view to tracing the emergence of a systematic ontological interpretation. Aristotle’s and the Stoics’ discussions of elements and mixtures, based on a continuous view of matter, bear some resemblance to modern, macroscopic conceptions and therefore have some interest as precursors to modern views as well as being of conceptual interest in their own right. Some of the issues they raised are still reflected in modern discussions, despite the considerable increase in complexity of the subject. Other ideas, such as the intimate connection between what modern science distinguishes as substance and phase, maintained their grip on the understanding of matter until the end of the eighteenth century. These are some of the important aspects of the properties of matter that have been neglected by linguistic concerns that have dominated the recent study of mass terms and which the present study seeks to redress. It will be of interest to see how the bounds of possibility are delimited by the laws governing the appropriate use of concepts refined for the purpose of describing the behaviour of matter. But the concern with modality will not stretch to venturing into the realms of metaphysical possibility governed by philosophical speculation about individual essences and underlying natures. -/- Like many contemporary discussions of material objects, this one relies heavily on mereology. Unlike several such discussions, this one adheres to the classical principles of mereology governing the usual dyadic relations of part, overlapping, etc. and the operations of sum, product and difference. These principles apply to the mereological structure of regions of space, intervals of time, processes and quantities of matter. Material objects that gain and lose matter are not understood to gain and lose parts and don’t call for a modification of the classic dyadic mereological relations to triadic relations with the introduction of a third term referring to time. Rather, a distinction is drawn between quantities of matter, which don’t gain or lose parts over time, and individuals, which are typically constituted of different quantities of matter at different times. The proper treatment of the temporal aspect of the features of material objects is a central issue in this book. The topics falling under this heading are addressed by investigating the conditions governing the application of predicates relating time and other entities. Of particular interest here are relations between quantities of matter and times expressing substance kind, phase and mixture. (shrink)

Here is a common view. There exist things, and there exists stuff, where roughly, ‘thing’ is a count noun, and ‘stuff’ is a mass noun. Syntactically, ‘thing’ functions as a singular referring term that takes ‘a’ and ‘every’ and is subject to pluralisation, while ‘stuff’ functions as a plural referring term that takes ‘some’ and is not subject to pluralisation. Hence there exists a thing, and some stuff. Usual versions of the common view endorse two principles about portions of stuff. (...) The first principle is that (temporal) mereological essentialism is true of portions (parcels, masses, quantities) of stuff, where mereological essentialism is the thesis that for any persisting object or portion of stuff, that object or stuff has the same parts at every time at which it exists. The second principle is that portions of stuff obey a principle of stuff composition: for any two portions of stuff P1 and P2, there exists a portion of stuff that is the fusion of P1 and P2. I argue that these two principles are inconsistent. In particular, since I am sympathetic to PSC, I argue that mereological essentialism is false of portions of stuff. (shrink)

Priority pluralism, perdurantism and that temporal gunk – where some interval of time is gunky iff every interval of it has a proper subinterval – is at least metaphysically possible, are three commonly held views in contemporary metaphysics. However, there cannot be a temporally gunky world where objects perdure, and where there are mereological simples. Given that – as I will argue – pluralists should be committed to atomism, and cannot plausibly revise their view to accommodate temporal gunk (...) if they are perdurantists, pluralism is incompatible with the combination of temporal gunk and perdurantism. Therefore, priority pluralism, perdurantism and the possibility of temporal gunk are jointly incompatible, and at least one of these views must be false. Subsequently, it means that at least one of the following views must be true: priority monism or metaphysical infinitism; endurantism; and/or that time is atomistic. The triad's inconsistency, then, has some interesting metaphysical implications. (shrink)

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

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)

If temporal parts are bona fide parts, then it is fitting to clarify and extend that notion (and related ones) using the resources of a theory of parts. But it often seems that those engaged in the 3D/4D debate appear to take for granted that, aside from introducing a welcome measure of rigor to the discussion, issues regarding theories of parthood can be allowed to recede into the background. What follows challenges that assumption — I demonstrate that the nature (...) of the fundamental mereological relation1 can decisively influence the outcome of the debate over persistence. In short, I show that if the fundamental mereological relation is proper parthood-at-atime then four-dimensionalism is false.2 Recognizing this does at least two things for us. First, it supplies a framework in which three-dimensionalists can clarify two things they have tended to say all along, namely that persisting things are ‘wholly present’ throughout their careers and that they do not have temporal parts. Second, it re-focuses the debate on a narrower and perhaps more tractable question: “What is the nature of the fundamental mereological relation?”. (shrink)

This paper describes a plausible view of the nature of physical objects, their mereological connections to each other, and their relation to spacetime. As well as being parsimonious, the view provides a plausible context for denying all of the following: (1) A theory that objects endure through time (and do not have temporal parts, as normally conceived) cannot claim that material objects are identical to space-time regions they occupy. (2) At least one of the family of mereological connections (part-whole, (...) overlap etc.) is to be taken as primitive. (3) Claims entirely in the language of quantifiers and identity and mereology are not semantically vague. It is thus an example showing that the there are more options for the metaphysics of objects, spacetime and mereology than many metaphysicians ordinarily assume. (shrink)

I argue that the conjunction of perdurantism (the view that objects are temporally extended) and universalism (the thesis that any old class of things has a mereological fusion) gives rise to undesired complications when combined with certain plausible assumptions concerning the semantics of tensed statements.

Substratism and Replacementism are the two major contending accounts of intrinsic change. This chapter discusses the interaction between composition and persistence, as the persistence of composite objects provides a critical test case for evaluating these two accounts. The chapter covers important puzzles and paradoxes for those who believe that mereological inconstancy and mereological coincidence are possible. There are actually two somewhat different conceptions of coincidence. One involves the sharing of a time‐slice or instantaneous temporal part. This is Temporal (...) Coincidence. A second kind of coincidence involves having exactly the same parts (whether spatially or temporally extended or both) at the same time. On some views, Temporal Coincidence and Temporary Mereological Coincidence are exactly the same things. The most compelling case of temporary mereological coincidence is that of composite things and their matter. (shrink)

It has been contended that an event as a whole does not occur but, rather, is only occurring when any one of its temporal parts occurs1 I shall consider here the mereological implications of drawing a distinction between the time of an event’s occurrence- its duration- and the times of its occurring- the duration of any one of its proper temporal parts. In particular, I intend to see whether it allows one to avoid having co-located events in one’s (...) ontology. (shrink)

The relationship of part to whole is one of the most fundamental there is, yet until now there has been no full-length study of this concept. This book shows that mereology, the formal theory of part and whole, is essential to ontology. Peter Simons surveys and criticizes previous theories, especially the standard extensional view, and proposes a more adequate account which encompasses both temporal and modal considerations in detail. This has far-reaching consequences for our understanding of such classical (...) philosophical concepts as identity, individual, class, substance and accident, matter, form, essence, dependence, and integral whole. It also enables the author to offer new solutions to long-standing problems surrounding these concepts, such as the Ship of Theseus Problem and the issue of mereological essentialism. The author shows by his use of formal techniques that classical philosophical problems are amenable to rigorous treatment, and the book represents a synthesis of issues and methods from the analytical tradition and from the older continental realist tradition of Brentano and the early Husserl. (shrink)

Several disputes about the nature of experience operate under the assumption that experiences have parts, including temporal parts. There's the widely held view, when it comes to temporal experiences, that we should follow James' exhortation that such experiences aren't mere successions of their temporal parts, but something more. And there's the question of whether it is the parts of experiences which determine whole experiences and the properties they have, or whether the determination goes instead from the whole (...) to the parts, as holists have it. But what are parts, or temporal parts, of experiences exactly—what does it mean to say that an experience is “part” of another? Are the participants in those disputes talking about the same thing—is there a univocal notion of “experiential part” available? Are there different kinds of experiential parts? And if there are, is there a systematic way of carving them out? More importantly, how should we conceive of the temporal parts of experiences, and how can we establish that experiences really do have temporal parts, against those who reject the notion? (shrink)

I will defend two claims. First, Schaffer's priority monism is in tension with many research programs in quantum gravity. Second, priority monism can be modified into a view more amenable to this physics. The first claim is grounded in the fact that promising approaches to quantum gravity such as loop quantum gravity or string theory deny the fundamental reality of spacetime. Since fundamental spacetime plays an important role in Schaffer's priority monism by being identified with the fundamental structure, namely the (...) cosmos, the disappearance of spacetime in these views might undermine classical priority monism. My second claim is that priority monism can avoid this issue with two moves: first, in dropping one of its core assumptions, namely that the fundamental structure is spatio-temporal, second, by identifying the connection between the non-spatio-temporal structure and the derivative spatio-temporal structure with mereological composition. (shrink)

Pixelism is the combination of three metaphysical thesis, namely a radical form of exdurantism, mereological nihilism and counterpart theory. Pixelism is a theory that evaluates all the metaphysical phenomena of persistence, composition and modality in a homogeneous and consistent manner. In a pixel world, there is no identity over time and over possible worlds and nothing persists over more than an instant or a world. Entities can be univocally identified by a five-coordinates system (the three spatial dimensions, the temporal (...) one and the possible worlds), and their relation is a counterpart relation both in different worlds and at different times or different regions of space. In this paper I will provide two models for pixelism: the first one takes pixels to be hypercubes, i. e. four-dimensional cubes, the acceptance of which is conditional on the acceptance of extended simples. The second one considers pixels as points in a four-dimensional space. (shrink)

Temporally extended experiences, experiential holists have it, are not reducible to successions of their temporal parts because some whole experiences determine their parts (in some way). This paper suggests, first, that some forms of experiential holism are in fact consistent with the rival atomist view (that experiences are successions of their parts) and, second, that the main reasons advanced for experiential holism are compatible with atomism too. The paper then looks at how holistic determination of its parts by a (...) whole experience might take place in time, arguing that it is either inconsistent or undermines widespread assumptions regarding the mechanisms underlying experiences. (shrink)

My dissertation puts forward a critique of the phenomenal intentionality theory (PIT). According to standard accounts of PIT, all genuine intentionality is either identical to or partly grounded in phenomenal consciousness. I argue that it is a conceptually significant mistake to construe conscious experiences in terms of token mental states that instantiate phenomenal properties. This mistake is predicated on ignoring an important difference in the temporal character—what I call the “temporal shape”—between states and properties as opposed to conscious (...) experiences. States and properties lack a temporal shape, but conscious experience has a temporal shape. Thus, in order to adequately capture our phenomenology of temporality we need a mental ontology that adequately reflects this distinction. A second aim of this dissertation is to defend a mereological account of phenomenal intentionality, which says that phenomenality and intentionality are related by being proper parts of a first-personal, subjective, mental event. On this approach, the conditions of satisfaction for a subject’s first-personal, subjective, mental event just are the conditions of satisfaction for phenomenal intentionality. I explore the theoretical grounds for a mereological account of phenomenal intentionality and conclude that it does a better job of explaining difficult cases like the problem of unconscious thought (e.g., your belief that “grass is green”). Thus, we have prima facie support for a mereological account of phenomenal intentionality exactly where competing accounts fail. (shrink)

I argue that the growing-block theory of time and truthmaker maximalism jointly entail that some truthmakers undergo mereological change as time passes. Central to my argument is a grounding-based account of what I call the “purely incremental” nature of the growing-block theory of time. As I will show, the argument presented in this paper suggests that growing-block theorists endorsing truthmaker maximalism have reasons to take composition to be restricted and the “block” of reality to literally grow as time goes by.

We can see mereology as a theory of parthood and topology as a theory of wholeness. How can these be combined to obtain a unified theory of parts and wholes? This paper examines various non-equivalent ways of pursuing this task, with specific reference to its relevance to spatio-temporal reasoning. In particular, three main strategies are compared: (i) mereology and topology as two independent (though mutually related) chapters; (ii) mereology as a general theory subsuming topology; (iii) topology (...) as a general theory subsuming mereology. Some more speculative strategies and directions for further research are also considered. (shrink)

Tobias Hansson Wahlberg argues in a recent article (2009) that the truth of “Hesperus is Phosphorus” depends on the assumption that the endurance theory of persistence is true. The statement is not true (or at least can reasonably be doubted), he argues, if one assumes (a) the theory of persistence according to which objects are four-dimensional entities, persisting through perdurance, i.e. by having temporal parts that are numerically distinct, and (b) the thesis of unrestricted mereological composition (UMC), that is, (...) that any two things, however scattered in space or time, compose a sum. (shrink)

Mereotopology is the discipline obtained from combining topology with the formal study of parts and their relation to wholes, or mereology. This article develops a mereotopological theory of time, illustrating how different temporal topologies can be effectively discriminated on this basis. Specifically, we demonstrate how the three principal types of temporal models—namely, the linear ones, the forking ones, and the circular ones—can be characterized by differently combining two sole mereotopological constraints: one to denote the absence of closed (...) loops, and the other one to denote the absence of branches. (shrink)

Abstract In this paper I propose a mereological account of ordinary macro-events of experience that is based on two central features of these entities, namely their spatio-temporal character, and their status as things that belong to event-kinds. I argue that, from the perspective of descriptive metaphysics, these features must be incorporated in the analysis of the part-whole relations of events, and I show the steps involved in achieving this task. Furthermore, I argue that the program initiated here is quite (...) promising: the analysis of event-part that I propose stands up quite well against the more serious objections, and the apparatus I provide for the mereological conditions of events can be easily modified to yield similar conditions for material objects. (shrink)

The relationship of part to whole is one of the most fundamental there is; this is the first and only full-length study of this concept. This book shows that mereology, the formal theory of part and whole, is essential to ontology. Peter Simons surveys and criticizes previous theories, especially the standard extensional view, and proposes a more adequate account which encompasses both temporal and modal considerations in detail. 'Parts could easily be the standard book on mereology for (...) the next twenty or thirty years.' Timothy Williamson, Grazer Philosophische Studien. (shrink)

U knjizi Pisanje knjige sveta (2011) Teodor Sajder tvrdi da na fundamentalnom nivou stvarnosti ne postoje objekti sastavljeni od delova, što njegovo gledište čini verzijom mereološkog nihilizma. Međutim, u prethodnoj knjizi pod naslovom Četvorodimenzionalizam (2001) Sajder zastupa mereološki univerzalizam, tezu da svaka klasa objekata ima mereološku fuziju, odnosno da postoji dodatni objekat koji sadrži date objekta kao svoje delove, koji igra suštinsku ulogu u njegovoj argumentu na osnovu nejasnosti u prilog perdurantizma, odnosno postojanja temporalnih delova materijalnih objekata. U ovom radu (...) pokušaću da odgovorim na pitanje da li Sajder može i dalje biti perdurantista uprkos njegovom najnovijem prihvatanju mereološkog nihilizma. (shrink)

While neuroscience has made enormous progress in understanding the brain, the implications of these empirical findings for ontological questions in philosophy including the mind–body problem remain yet unclear. In the first paper, I discussed the model of brain that as implied and supported by the empirical data. This leads me now to the question of an empirically plausible ontology of brain. Therefore, the aim in this second paper is the ontological characterization of the brain in terms of a process-based ontology (...) that avoids what Whitehead described as “simple location” and “fallacy of misplaced concreteness”. The discussion of the model of the brain is complemented by developing a process-based ontological characterization of the brain. Specifically, as based on Whitehead, I argue that “simple location” of the brain as thing or object in time and space amounts to nothing but an abstraction rendering what Whitehead described as “fallacy of misplaced concreteness”. Instead of describing the brain as static, non-temporal and isolated thing or object, I characterize the brain ontologically by dynamic, temporal, and relational processes. This leads me to a process-based ontology of brain which may be specified in spatiotemporal terms. Since the world’s larger spatiotemporal range or scale contains, e.g., nests, the smaller one of the brain, I characterize their ontological relationship by “spatiotemporal nestedness” and “spatiotemporal directedness”. Such spatiotemporal relationship between world and brain precludes the confusion between the world as whole and the brain as part, e.g., “mereological confusion”. I conclude that process-based or better, more specifically, spatiotemporal ontology of the brain and its relationship to the world may offer novel views on the question for the ontological relationship between mind and brain, e.g., the mind–brain problem, by converting or reformulating it as “world-brain problem”. (shrink)

The part‐whole and element‐system relations are usually not given a temporal interpretation. Taking a thesis of Father Bochenski as a starting point , the author first gives an adequate temporal interpretation of this thesis. Then, he shows that a divergence arises, in non‐static systems, between the system itself and the mereological sum corresponding to it at a certain instant. Therefore, any reductionism has to confront the generally neglected problem of this divergence. Résumé Les relations partie‐tout et élément‐système ne (...) sont pas habituellement interprétées de manière temporelle lorsqu'elles sont approachées de manière formelle. On prend ici pour point de départ une thèse formulée par le P. Bochenski, "tout élément d'un système est une partie propre de ce système", dont on donne d'abord une interpretation temporelle adéquate. On met ensuite en évidence la divergence, pour les systèmes non statiques, du système et de la somme méréologique qui lui correspond en un instant donné. Le réductionnisme doit done affronter le problème généralement négligé de cette divergence. -/- Zusammenfassung Gewöhnlich werden die Relationen zwischen Teil und Ganzem und zwischen Element und System nicht zeitlich interpretiert, wenn sie formal behandelt werden. Von einer These von P. Bochenski ausgehend versucht man zuerst, dieser These eine angemessene zeitliche Interpretation zu geben. Dann zeigt man, dass es bei nicht‐statischen Systemen eine Divergenz zwischen dem System und der ihm zu einer bestimmten Zeit entsprechenden mereologischen Summe gibt. Das sich daraus für den Reduktionismus ergebende Problem wird meist vernächlassigt. (shrink)

In the paper the most popular arguments in favour of the doctrine of temporal parts are presented and analysed. The author discusses the following arguments: (i) from analogy; (ii) from ontological parsimony; (iii) from intrinsic change; (iv) from mereological change; (v) against presentism; (vi) from time travel; (vii) from vagueness; (viii) from coincidence. The main aim of the paper is to show - in the light of examined arguments - that the 3D-ism/4D-ism equivalence thesis might be treated as a (...) well-founded conjecture. (shrink)

The paper defends a combination of perdurantism with mereological universalism by developing semantics of temporary predications of the sort ’some P is/was/will be (a) Q’. We argue that, in addition to the usual application of causal and other restrictions on sortals, the grammatical form of such statements allows for rather different regimentations along three separate dimensions, according to: (a) whether ‘P’ and ‘Q’ are being used as phase or substance sortal terms, (b) whether ‘is’, ‘was’, and ‘will be’ are the (...) ‘is’, ‘was’, ‘will be’ of identity or of constitution, and (c) whether ‘Q’ is being used as a subject or predicate term. We conclude that this latitude is beneficial, as it conforms with linguistic reality (i.e., the multiple uses actually in place) and also enables one to turn what is ordinarily perceived as a problem for universalist perdurantism viz., a commitment to all sorts of weird and gerrymandered temporally extended entities, into an advantage, for the richness in questions allows us to make sense of. (shrink)

From the time of Locke, discussions of personal identity have often ignored the question of our basic metaphysical nature: whether we human people are biological organisms, spatial or temporal parts of organisms, bundles of perceptions, or what have you. The result of this neglect has been centuries of wild proposals and clashing intuitions. What Are We? is the first general study of this important question. It beings by explaining what the question means and how it differs from others, such (...) as questions of personal identity and the mind-body problem. It then examines in some depth the main possible accounts of our metaphysical nature, detailing both their theoretical virtues and the often grave difficulties they face. The book does not endorse any particular account of what we are, but argues that the matter turns on more general issues in the ontology of material things. If composition is universal--if any material things whatever make up something bigger--then we are temporal parts of organisms. If things never compose anything bigger, so that there are only mereological simples, then we too are simples--perhaps the immaterial substances of Descartes--or else we do not exist at all (a view Olson takes very seriously). The intermediate view that some things compose bigger things and others do not leads almost inevitably to the conclusion that we are organisms. So we can discover what we are by working out when composition occurs. (shrink)

On the basis of the primitive dyadic time relation “earlier than” we develop subsequently temporal relations and orders of things in mereological terms. The basic mereological relation is the relation of part to whole, which permits the whole as part of itself. Starting point of the mereo-chronological systematization is Alfred Tarski’s development of the characteristics of the relations of part and time and their correlations in the appendix E of Henry Woodger’s application of mathematical and logical methods in biology (...) in “The Axiomatic Method in Biology” (1937). Tarski’s reasoning is modified and expanded in different ways. Modifications are made with respect to the following three items: the choice of the postulated axioms and cited theorems, the transscription of the axioms and theorems formalized by Tarski in Principia Mathematica-notation in symbolism of modern First-Order Predicate Logic and the detailed proofs of the theorems. The intended meaning of the axioms and theorems is given in common everyday language and − if possible − illustrating diagrams are added. -/- Things in time and momentary things are introduced (§ 2) and their relations to things in general are contemplated (§ 3.1). By means of the relation of temporal coincidence certain relations between momentary things are dealt with (§ 3.2). For momentary things another time relation “wholly earlier” is defined (§ 3.3), which leads together with the definition of momentary worlds to a corresponding relation between them (§ 3.4). This relation eventually gives us a temporal order of momentary worlds, which is isomorphic to the continuum of real numbers (§ 3.4). Momentary phases as “slices” of single things (§ 3.5), the fundamental concept of an organized (biological) unity and the relation “wholly earlier” between momentary phases of an organized unity have the result that the duration of life of an organized unity can be modelled as a closed interval in the sequence of momentary worlds (§ 4). Finally by means of a dyadic time relation “wholly earlier” between things introduced by Tarski in the appendix E the time relations of copresence, of temporal part, of simultaneousness and of genuine temporal part are defined (§ 5). (shrink)

This article offers a novel, conservative account of material constitution, one that incorporates sortal essentialism and features a theory of dominant sortals. It avoids coinciding objects, temporal parts, relativizations of identity, mereological essentialism, anti-essentialism, denials of the reality of the objects of our ordinary ontology, and other departures from the metaphysic implicit in ordinary ways of thinking. Defenses of the account against important objections are found in Burke 1997, 2003, and 2004, as well as in the often neglected six (...) paragraphs that conclude section V of this article. (shrink)

Cellular automata (henceforth: CA) are discrete, abstract computational systems that have proved useful both as general models of complexity and as more specific representations of non-linear dynamics in a variety of scientific fields. Firstly, CA are (typically) spatially and temporally discrete: they are composed of a finite or denumerable set of homogeneous, simple units, the atoms or cells. At each time unit, the cells instantiate one of a finite set of states. They evolve in parallel at discrete time steps, following (...) state update functions or dynamical transition rules: the update of a cell state obtains by taking into account the states of cells in its local neighborhood (there are, therefore, no actions at a distance). Secondly, CA are abstract, as they can be specified in purely mathematical terms and implemented in physical structures. Thirdly, CA are computational systems: they can compute functions and solve algorithmic problems. Despite functioning in a different way from traditional, Turing machine-like devices, CA with suitable rules can emulate a universal Turing machine, and therefore compute, given Turing's Thesis, anything computable.... (shrink)

There’s an argument around from so-called “linguistic theories of vagueness”, plus some relatively uncontroversial considerations, to powerful metaphysical conclusions. David Lewis employs this argument to support the mereological principle of unrestricted composition, and Theodore Sider employs a similar argument not just for unrestricted composition but also for the doctrine of temporal parts. This sort of argument could be generalised, to produce a lot of other less palatable metaphysical conclusions. However, arguments to Lewis’s and Sider’s conclusions on the basis of (...) considerations about vagueness are uncompelling, even if we accept the crucial premises about vagueness. And a good thing too, since the generalised form of the argument would prove far too much. (shrink)