What are the conditions under which one biological object is a part of another biological object? This paper answers this question by developing a general, systematic account of biological parthood. I specify two criteria for biological parthood. Substantial Spatial Inclusionrequires biological parts to be spatially located inside or in the region that the natural boundary of t he biological whole occupies. Compositional Relevance captures the fact that a biological part engages in a biological process that must make a necessary contribution (...) to a condition that is minimally sufficient to one or more of the characteristic behaviors of the biological whole. Instead of emphasizing the diversity of part-whole relations in the biological world, this paper asks what biological part-whole relations have in common and what constrains their existence, in general. After presenting the two criteria for biological parthood I discuss in how far my account can cope with hard cases (e.g., redundant parts) and I reveal the merits and limits of monism. (shrink)

Representing parthood relations in ORM has received little attention, despite its added-value of the semantics at the conceptual level. We introduce a high-level taxonomy of types of meronymic and mereological relations, use it to construct a decision procedure to determine which type of part- whole role is applicable, and incrementally add mandatory and uniqueness constraints. This enables the conceptual modeller to develop models that are closer to the real-world subject domain semantics, hence improve quality of the software.

The subset realization view proposes to solve the causal exclusion problem of non‐reductive mental instances by taking the mental instance as a part of its physical realizer. Many philosophers have argued that such a part‐whole relation will undermine physicalist realization because parts are ontologically prior to their wholes and the subset view is thus flawed. I argue that the relation that the subset view should propose is different from the ordinary part‐whole relation. What they should propose is (...) another kind of part‐whole relation under which parts are posterior to wholes. So, the subset view is not flawed in the aforementioned aspect. But discussion of the new part‐whole relation reveals that the subset view is in lack of a crucial argument against the exclusion reasoning, thus cannot solve the exclusion problem. Adopting the principle of causal proportionality (a route subset realizationists sometimes take) will not help the subset view either. So, my conclusion is, the subset view is yet to find a way to solve the exclusion problem. (shrink)

A taxonomy of part‐whole or meronymic relations is developed to explain the ordinary English‐speaker's use of the term “part of” and its cognates. The resulting classification yields six types of meronymic relations: 1. component‐integral object (pedal‐bike), 2. member‐collection (ship‐fleet), 3. portion‐mass (slice‐pie), 4. stuff‐object (steel‐car), 5. feature‐activity (paying‐shopping), and 6. place‐area (Everglades‐Florida). Meronymic relations ore further distinguished from other inclusion relations, such as spatial inclusion, and class inclusion, and from several other semantic relations: attribution, attachment, and ownership. This taxonomy is (...) then used to explain cases of apparent intransitivity in merological syllogisms, and standard form syllogisms whose premises express different inclusion relations. The data suggest that intransitivities arise due to equivocations between different types of semantic relations. These results are then explained by means of the relation element theory which accounts for the character and behavior of semantic relations in terms of more primitive relational elements. The inferential phenomena observed are then explained by means of a single principle of element matching. (shrink)

A taxonomy of part‐whole or meronymic relations is developed to explain the ordinary English‐speaker's use of the term “part of” and its cognates. The resulting classification yields six types of meronymic relations: 1. component‐integral object (pedal‐bike), 2. member‐collection (ship‐fleet), 3. portion‐mass (slice‐pie), 4. stuff‐object (steel‐car), 5. feature‐activity (paying‐shopping), and 6. place‐area (Everglades‐Florida). Meronymic relations ore further distinguished from other inclusion relations, such as spatial inclusion, and class inclusion, and from several other semantic relations: attribution, attachment, and ownership. This taxonomy is (...) then used to explain cases of apparent intransitivity in merological syllogisms, and standard form syllogisms whose premises express different inclusion relations. The data suggest that intransitivities arise due to equivocations between different types of semantic relations. These results are then explained by means of the relation element theory which accounts for the character and behavior of semantic relations in terms of more primitive relational elements. The inferential phenomena observed are then explained by means of a single principle of element matching. (shrink)

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)

A recurring problem in conceptual modelling and ontology development is the representation of part-whole relations, with a requirement to be able to distinguish between essential and mandatory parts. To solve this problem, we formally characterize the semantics of these shareability notions by resorting to the temporal conceptual model E RVT and its formalization in the description logic DLRUS.

Book synopsis: Donald Davidson is among the most influential philosophers of the 20th century. This volume includes some 30 essays which variously criticize, comment on and develop Davidson's philosophy as represented in his collected papers "Essays on Actions and Events", in addition to three further essays by Davidson himself. The essays divide into three sections, each opening with an editorial introduction and corresponding to the three major sections of "Actions and Events". The first section discusses the nature of rational explanation, (...) the relationships between reasons and actions, intentions and actions, will and irrationality, and the concepts of agency, freedom and weakness of the will. This section also contains an essay in which Davidson presents his views on self-deception. The second section considers the nature of events, causal relationships, and the logical form of action and singular causal statements. Finally, the volume looks at the relationship between the mental and the physical, the scientific status of psychological and psychophysical laws, and the relationship between laws and causal and rational explanations. (shrink)

In this paper I aim at showing that, in Aristotle’s view, spoken and written language differ in their material organisation, in particular in their respective part-whole relations. I argue that, according to Aristotle, written language is an additive system (i.e. a system whose parts exist and are produced prior to what they are parts of), whereas spoken language is a non-additive system (i.e. a system whose parts cannot exist and be produced prior to what they are parts of), and that, (...) in his view, spoken language, qua non-additive system, is analogous to organisms. Further, I outline two possible implications of this hypothesis. The first concerns the relevance of Aristotle’s conception of spoken language as a non-additive system to his account of human language’s power to signify. I set out some reasons for thinking that Aristotle endorses the view that the form of human language (i.e. its power to signify) is matter-involving. The second implication concerns the syllable analogy that Aristotle employs in Metaphysics Ζ 17. I argue that the syllable Aristotle refers to is a spoken one, and I develop some consequences of this hypothesis for the meaning of the analogy and, more generally, of the chapter. (shrink)

Many types of part-whole relations have been proposed in the literature to aid the conceptual modeller to choose the most appropriate type, but many of those relations lack a formal specification to give clear and unambiguous semantics to them. To remedy this, a formal taxonomy of types of mereological and meronymic part-whole relations is presented that distinguishes between transitive and intransitive relations and the kind of entity types that are related. The demand to use it effectively brings afore new requirements (...) for automated reasoning over a hierarchy of relations. To ensure logically and ontologically correct inferencing over both the class and role hierarchy, the new reasoning service RBox compatibility for Description Logics reasoners is introduced. The proposed combination of formal semantics and the new reasoning service will improve the representation of the application domain when using part-whole relations in conceptual models and ontologies. (shrink)

This article argues that the second part of the Parmenides (137-166) consists not only of the well-known logical structure that has been widely studied but also of a great variety of definitions of forms. My aim is to show how these definitions depend on a specific group of closely connected primary forms (i.e., same, different, part, whole). The definitions that Parmenides provides help Socrates overcome his failure in attempting to define forms in the first part of the dialogue.

This chapter reconstructs the account of the organization of unified definite manifolds that Husserl developed in his early logic of parts and wholes. I argue that Husserl’s conception of necessity gets fixed through the logic of fitness that is operative in his account of unified definite manifolds that are organized by symmetrical part/whole relations. Husserl’s logical account of necessity finds its ultimate justification in his theory of intentionality and is operative in his phenomenological methodology generally. Through this conception of necessity (...) of the way in which manifolds are unified and organized, Husserl radicalized and exploded the Kantian conception of the material a priori and distinguished among several kinds of a priori, e.g., the correlational a priori, a priori bound to the empirical, and pure material a priori. Husserl’s phenomenological account of the material a priori further clarifies the important differences with Kant’s approach to the problem of necessity. (shrink)

We address the question whether there is an explanation for the fact that as Fodor put it the micro-level “converges on stable macro-level properties”, and whether there are lessons from this explanation for other issues in the vicinity. We argue that stability in large systems can be understood in terms of statistical limit theorems. In the thermodynamic limit of infinite system size N → ∞ systems will have strictly stable macroscopic properties in the sense that transitions between different macroscopic phases (...) of matter (if there are any) will not occur in finite time. Indeed stability in this sense is a consequence of the absence of fluctuations, as (large) fluctuations would be required to induce such macroscopic transformations. These properties can be understood in terms of coarse-grained descriptions, and the statistical limit theorems for independent or weakly dependent random variable describing the behaviour averages and the statistics of fluctuations in the large system limit. We argue that RNG analyses applied to off-critical systems can provide a rationalization for the applicability of these limit theorems. Furthermore we discuss some related issues as, for example, the role of the infinite-system idealization. (shrink)

One of the most exciting things about science is the access that it provides to phenomena remote from everyday experience. Through science we delve into the distant past, explore other cultures, peer across vast reaches of space, and assay the microscopic structure of the world. As our understanding extends in all these directions, philosophers and scientists often ask how the resulting branches of knowledge are related.

A critical survey of the fundamental philosophical issues in the logic and formal ontology of space, with special emphasis on the interplay between mereology (the theory of parthood relations), topology (broadly understood as a theory of qualitative spatial relations such as continuity and contiguity), and the theory of spatial location proper.

According to the subset view of realization, a property realizes another if the causal powers of the latter are a subset of those of the former. Against this view, some authors (in particular, Kevin Morris and Paul Audi) have argued that it has an untenable consequence that realizing properties are less fundamental than the properties they realize, because the subset view characterizes realized properties as parts (subsets) of their realizers whereas it is generally true that a part is prior to (...) its whole. This paper defends the subset view from this “part-whole” objection, by arguing that if we compare individual powers of realizer and realizee with particular attention to their manifestation conditions, it turns out that each power of a realizee is grounded in some power of its realizer. This grounding relation between powers, I shall argue, allows subset theorists to explain why a realizer is more fundamental than its realizee, even while having the latter as a part. (shrink)

The approach adopted by Early Modern authors to the notions of ‘whole’ and ‘part’ (what is called, in contemporary metaphysics, “mereology”, from the Ancient Greek word μερος: ‘part’) constitutes a central feature of their respective systems. The issue of what constituted a whole became all the more crucial as the new, revolutionary approaches to matter and extension – which mark the unavoidably fuzzy beginning of what we define as “modernity” – demanded a novel (and in some cases, radical) approach to (...) the questions of what constitutes a whole and how parts are arranged and bound together. It is important to mention that diverse attitudes towards mereology characterised Early Modern philosophers orthogonally to their belonging to different camps, such as the traditional categories of ‘Rationalists’ and ‘Empiricists’. Some of these philosophers considered wholes to be ontologically and/or logically prior to their parts (an approach that we may call “organicist” or “holist”, applying an anachronistic but nonetheless appropriate label). Others considered wholes to be derivative, resulting from the union of their parts (an approach that could be named “mereological mechanism”). Therefore, a word about terminology is in order: in what follows, I will apply the label “holist/organicist” to refer to a philosopher who would favour the priority of wholes over parts. Vice versa, I shall label as a “mereological mechanist” any philosopher favouring the priority of parts over the wholes formed by those parts, regardless of such parts being exclusively material, or including spiritual/mental parts as well as material ones. (shrink)

One of the unresolved issues in Aristotle’s hylomorphism is the part-whole puzzle. Some scholars suppose that in Metaphysics Z 17, 1041b11-33 he endorses non-mereological hylomorphism. This kind of interpretation, however, has been challenged by K. Koslicki who argues that if the evidence in Metaphysics Z 17 is combined with some related textual and conceptual considerations, then a convincing case can be made for a mereological construal of Aristotelian hylomorphism. This paper does four things. First, it scrutinizes these opposing approaches to (...) Aristotle’s theory. Second, it suggests that to adjudicate the dispute at hand one ought to determine how Aristotle deals with what has come to be known as ‘Ackrill’s problem’. It is proposed that if we consider Aristotle’s theory in light of some distinctions drawn in contemporary discussions of hylomorphism, then it transpires that he does have a solution to Ackrill’s problem. Third, it is shown that his solution to this problem suggests a particular way of settling the debate over the part-whole puzzle. And finally, it is argued that the suggested reconstruction of Aristotelian hylomorphism is consistent with the textual evidence in Metaphysics Z 17 and its associated texts. (shrink)

I use Carl Gillett’s much heralded dimensioned theory of realization as a platform to develop a plausible part–whole theory. I begin with some basic desiderata for a theory of realization that its key terms should be defined and that it should be explanatory. I then argue that Gillett’s original theory violates these conditions because its explanatory force rests upon an unspecified “in virtue of” relation. I then examine Gillett’s later version that appeals instead to theoretical terms tied to (...) “mechanisms.” Yet I argue that it too violates the desiderata, since it defines realization for mechanisms in terms of two undefined ideas whose explanatory credentials have not been established—“implementation” and “grounds.” Thus I drop those ideas in favor of an explicit constraint that the parts and properties provide a mechanistic explanation. I also distinguish a special mechanistic theory from a preferred general theory that incorporates other kinds of part–whole explanations that target causal powers or capacities. The result is a theory that has the explanatory virtues of mechanistic theories as well as a broader scope desired by Gillett. I also compare the result to a similar idea from Robert Cummins that has been neglected in recent discussions of realization, namely, his general property analysis rather than his functional analysis. Finally, I defend the preferred general theory against possible objections that attempt to show a conflict between metaphysical demands on a theory of realization versus facts about good scientific explanation. (shrink)

This paper presents a theory of situated part structures involving the notion of an integrated and not just a part-of relation. The theory is applied in particular to the semantics of the modifiers 'whole' and 'individual', as in 'the whole collection' and 'the individual students'. The adnominal modifiers 'whole' and 'individual' have been entirely been ignored in the linguistic and philosophical literature, even though they pose significant challenges for standard views of reference, of the semantics of referential NPs, and (...) for ontology (the exception being medieval philosophy of language where 'whole' has received significant attention). 'Whole' strikingly displays two opposite readings: 'The whole collection is expensive' can mean - 'as a whole' or 'every part'. The paper proposes that the two readings be traced to two different conceptions of part structures of objects: one according to which the parts of an objects are just the material parts and another, Aristotelian conception according to which the parts of an object include properties of form. (shrink)

Part–whole causation is the thesis that some causes are part of their effects. PWC has been objected to because of its incompatibility with the criterion that causes not be spatially included within their effects and the criterion that causes and effects are ontologically distinct in some sense. This paper serves to undermine the sufficiency of these ways of objecting to PWC by showing that for each criterion either cause-effect relationships need not satisfy it or part–whole relationships can. A (...) case-study of the collapse of Bridge 9340 is employed to facilitate the discussion. (shrink)

This volume offers a fresh exploration of the parts-whole relations within a power and among powers. While the metaphysics of powers has been extensively examined in the literature, powers have yet to be studied from the perspective of their mereology. Powers are often assumed to be atomic; and yet what they can do--and what can happen to them--is complex. But if powers are simple, how can they have complex manifestations? Can powers have parts? According to which rules of composition do (...) powers compose into powers? Given the centrality of powers in current scientific as well as philosophical thought, recognizing and understanding the ontological differences between atomic and mereologically complex powers is important, for both philosophy and science. The first section of this book explores how powers divide; the second section how powers compose. The final section showcases some specific study cases in the domains of quantum mechanics and psychology. Powers, Parts and Wholes will be of interest to professional philosophers and graduate students working in metaphysics, philosophy of science and logic. (shrink)

This volume offers a fresh exploration of the parts-whole relations within a power and among powers. While the metaphysics of powers has been extensively examined in the literature, powers have yet to be studied from the perspective of their mereology. Powers are often assumed to be atomic; and yet what they can do-and what can happen to them-is complex. But if powers are simple, how can they have complex manifestations? Can powers have parts? According to which rules of composition do (...) powers compose into powers? Given the centrality of powers in current scientific as well as philosophical thought, recognizing and understanding the ontological differences between atomic and mereologically complex powers is important, for both philosophy and science. The first section of this book explores how powers divide; the second section how powers compose. The final section showcases some specific study cases in the domains of quantum mechanics and psychology. Powers, Parts and Wholes will be of interest to professional philosophers and graduate students working in metaphysics, philosophy of science and logic. (shrink)

The paper argues that very different part-whole relations hold between different kinds of entities. While these relations share most of their formal properties, they need not share all of them. Nor need other mereological principles be true of all kinds of part–whole pairs. In particular, it is argued that the principle of unrestricted composition, that any two or more entities have a mereological sum, while true of sets and propositions, is false of things and events.

Reconstructability analysis (RA) decomposes wholes, namely data in the form either of set theoretic relations or multivariate probability distributions, into parts, namely relations or distributions involving subsets of variables. Data is modeled and compressed by variable-based decomposition, by more general state-based decomposition, or by the use of latent variables. Models, which specify the interdependencies among the variables, are selected to minimize error and complexity.

The centrality of the whole/part relation in mathematics is demonstrated through the presentation and analysis of examples from algebra, geometry, functional analysis,logic, topology and category theory.

This book departs from the premise that context represents a complex relational configuration which can no longer be conceived as an analytic prime but rather requires a parts-whole perspective to capture its inherent dynamism. The edited volume presents a collection of papers which examine the connectedness between context, contextualization and entextualization. They address the questions how meaning and speech acts are situated in context, how both are influenced by context, how context influences speech acts and meaning, how context is imported (...) into the discourse, and how context is entextualized in discourse. The papers cover institutional and non-institutional contexts, the language of Greek laws, political discourse, confrontational media discourse and task-oriented face-to-face and back-to-back interactions. They reflect current moves in pragmatics and discourse analysis to cross disciplinary and methodological boundaries by integrating relevant premises and insights, in particular cognition, adaptive action, negotiation of meaning, sequentiality, recipient design and genre. (shrink)

What is the relation between parts taken together and the whole that they compose? The recent literature appears to be dominated by two different answers to this question, which are normally thought of as being incompatible. According to the first, parts taken together are identical to the whole that they compose. According to the second, the whole is grounded in its parts. The aim of this paper is to make some theoretical room for the view according to which parts (...) ground the whole they compose while being, at the same time, identical to it. (shrink)

This paper examines whether classical extensional mereology is adequate for formalizing the whole–parts relation in quantum chemical systems. Although other philosophers have argued that classical extensional and summative mereology does not adequately formalize whole–parts relation within organic wholes and social wholes, such critiques often assume that summative mereology is appropriate for formalizing the whole–parts relation in inorganic wholes such as atoms and molecules. However, my discussion of atoms and molecules as they are conceptualized in quantum chemistry will (...) establish that standard mereology cannot adequately fulfill this task, since the properties and behavior of such wholes are context-dependent and cannot simply be reduced to the summative properties of their parts. To the extent that philosophers of chemistry have called for the development of an alternative mereology for quantum chemical systems, this paper ends by proposing behavioral mereology as a promising step in that direction. According to behavioral mereology, considerations of what constitutes a part of a whole is dependent upon the observable behavior displayed by these entities. Thus, relationality and context-dependence are stipulated from the outset and this makes behavioral mereology particularly well-suited as a mereology of quantum chemical wholes. The question of which mereology is appropriate for formalizing the whole–parts relation in quantum chemical systems is relevant to contemporary philosophy of chemistry, since this issue is related to the more general questions of the reducibility of chemical wholes to their parts and of the reducibility of chemistry to physics, which have been of central importance within the philosophy of chemistry for several decades. More generally, this paper puts contemporary discussions of mereology within the philosophy of chemistry into a broader historical and philosophical context. In doing so, this paper also bridges the gap between formal mereology, conceived as a branch of formal ontology, and “applied” mereology, conceived as a branch of philosophy of science. (shrink)

What is the relation between a whole and its parts? The metaphysics of structure and composition is much discussed in modern philosophy; now Verity Harte provides the first sustained examination of Plato's rich but neglected discussion of the topic, and shows how it can illuminate current debates. This book is an invaluable resource both for scholars of Plato and for modern metaphysicians.

Since the early 80s, metonymy has progressively gained central stage in linguistic investigations. The advent of cognitive linguistics marked a new turn in the study of this trope conceived, not as a deviation from semantic conventions (contra classical rhetorical theories), but as a phenomenon rooted in non-language-specific mechanisms of conceptualization and structuring of the world. Focusing on the particular case of whole-for-part (WP) metonymy, the general stand of this presentation will be to argue for the need to re-inject properly semantic (...) (descriptive and formal) considerations in the study of metonymy. It will be shown that semantic typologies of meronymic relations, as well as recent results in the semantics of partial predicates and colour predicates, can be jointly exploited to attain a better understanding of the mechanism of WP-metonymy. The resulting view will in particular connect such metonymies to mechanisms of reference and property attribution to functional parts for classificatory purposes. (shrink)

Understanding the organization of an organism by individuating meaningful parts and accounting for organismal properties by studying the interaction of bodily parts is a central practice in many areas of biology. While structures are obvious bodily parts and structure and function have often been seen as antagonistic principles in the study of organismal organization, my tenet is that structures and functions are on a par. I articulate a notion of function (functions as activities), according to which functions are bodily parts (...) just as structures are. Recognizing part-whole relations among an organism’s various structures and functions permits fruitful investigation and multilevel explanation of organismal properties and functioning, across both developmental and evolutionary time. I show how my perspective clarifies debates surrounding homology and evolutionary novelty that stem from an alleged structure-function dichotomy. My approach favors a pluralism about individuation, where the criteria of what counts as a meaningful bodily part depend on the particular epistemic aims pursued in a scientific context. (shrink)

Philosophical questions concerning parts and wholes have received a tremendous amount of the attention of contemporary analytic metaphysicians. In what follows, I discuss some of the central questions. The questions to be discussed are: how general is parthood? Are there different kinds of parthood or ways to be a part? Can two things be composed of the same parts? When does composition occur? Can material objects gain or lose parts? What is the logical form of the parthood relation enjoyed (...) by material objects? (shrink)

A brief introductory note to the special issue of the Journal of Philosophy on "Parts and Wholes", setting the background for the seven papers included in the rest of the issue (by K. Fine, H. Hudson, M. Johnston, K. Koslicki, C. Normore, P. M. Simons, and P. van Inwagen).

** The primary topic of this dissertation is the study of the relationships between parts and wholes as described by particular physical theories, namely generalized probability theories in a quasi-classical physics framework and non-relativistic quantum theory. ** A large part of this dissertation is devoted to understanding different aspects of four different kinds of correlations: local, partially-local, no-signaling and quantum mechanical correlations. Novel characteristics of these correlations have been used to study how they are related and how they can be (...) discerned via Bell-type inequalities that give non-trivial bounds on the strength of the correlations. ** The study of quantum correlations has also prompted us to study a) the multi-partite qubit state space with respect to its entanglement and separability characteristics, and b) the differing strength of the correlations in separable and entangled qubit states. Results include a novel classification of multipartite (partial) separability and entanglement, strong constraints on the monogamy of entanglement and of non-local correlations, and many new entanglement detection criteria that are directly experimentally accessible. ** Because of the generality of the investigation these results also have strong foundational as well as philosophical repercussions for the different sorts of physical theories as a whole; notably for the viability of hidden variable theories for quantum mechanics, for the possibility of doing experimental metaphysics, for the question of holism in physical theories, and for the classical vs. quantum dichotomy. (shrink)

Many philosophers today accept that phenomenal truths cannot be explained in terms of ordinary physical truths. Two possible routes to accounting for consciousness have received much attention: the emergentist route is to accept that ordinary experience is inexplicable in physical terms but that microscopic entities as described in physics nonetheless bring about conscious experience. The second route is to argue that microscopic entities have features not described in physics which can fully explain conscious experience. The view associated with panprotopsychism is (...) that microscopic entities have no phenomenal properties. The view associated with panpsychism is that microscopic entities do have phenomenal properties. In this paper it is argued that if consciousness is extended in space only the latter view is possible. According to this argument for micropsychism, if phenomenal truths are not merely structural, all truths about a whole are truths about its parts plus structural relational truths. If there are phenomenal truths about the whole, this must be because there are phenomenal truths about its parts. It wouldn’t follow that panpsychism is true, since it does not follow that consciousness exists outside the wholes we know to be conscious, but it does follow that emergentism and protopanpsychism are false. (shrink)