This paper provides new arguments for the following claim: either strong composition as identity cannot retain the full strength of both the logical principles of one-one identity and its semantical principles or it only delivers cases of boring composition in that it entails mereological nihilism.

Many metaphysicians accept the view that, necessarily, any collection of things composes some further thing. Necessarily, my arms, legs, head, and torso compose my body; necessarily, my arms, my heart, and the table compose something y; necessarily, my heart and the sun compose something z; and so on. 1 Though there have been a few recent attempts to argue against the necessity of this principle of unrestricted composition the consensus is that if it is true, it is necessarily true. (...) 2In what follows I will join the few dissenters and argue that this principle of unrestricted composition is not necessarily true. If I am right, it follows that either some principle of restricted composition is necessarily true or the existence of composite objects is a contingent matter. I will end by indicating why the latter option seems the most plausible. 3I proceed by reductio. Assume the following: Unrestricted composition is necessarily true.That is, assume that necessarily, any collection of things composes something. Then, necessarily, the collection of everything composes something. That is, necessarily, there exists a universal object U having all things as parts, not itself being a proper part of anything. Hence, by our assumption, we get: There must be a universal object U.It is important to note that this is so whether the world is finite or infinite. Holding that in worlds of finite cardinality there is a universal object U while in worlds of infinite cardinality there is no universal object U amounts to accepting a restricted form of composition. 4Now consider the following scenario. Everything in this world is spatially extended and just one half of something else that is also spatially extended. That is, for any thing in this world, there is something else of which …. (shrink)

This paper provides the first thorough assessment of a physics-based answer, the Bound State Answer, to the Special Composition Question. According to the BSA some objects compose something if they are in a common bound state. The reasons to endorse such an answer, in particular, motivations coming from empirical adequacy and conservativeness, precision, simplicity, and parsimony, are critically addressed. I then go on to compare the BSA to other moderate answers to the SCQ and consider whether objections raised against (...) such answers can be raised against the BSA as well. I finally relate the discussion with mereological pluralism. (shrink)

Naive mereology studies ordinary, common-sense beliefs about part and whole. Some of the speculations in this article on naive mereology do not bear directly on Peter van Inwagen's "Material Beings". The other topics, (1) and (2), both do. (1) Here is an example of Peter Unger's "Problem of the Many". How can a table be a collection of atoms when many collections of atoms have equally strong claims to be that table? Van Inwagen invokes fuzzy sets to solve this problem. (...) I claim that an alternative treatment of vagueness, supervaluations over many-value valuations, provides a better solution. (2) The Special Composition Question asks how parts compose a whole. One who rejects van Inwagen's answer in terms of constituting a life need not provide some alternative answer. Even if all answers to the Special Question fail, there are a multitude of less general composition questions that are not so difficult. (shrink)

A central dispute in understanding Frege’s philosophy concerns how the sense of a complex expression relates to the senses of its component expressions. According to one reading, the sense of a complex expression is a whole built from the senses of the component expressions. On this interpretation, Frege is an early proponent of structured propositions. A rival reading says that senses compose by functional application: the sense of a complex expression is the value of the function denoted by its functional (...) component for the arguments denoted by its remaining components. I argue that two non-negotiable Fregean theses entail that senses compose by functional application. One thesis is that referents compose by functional application. The other thesis is that an expression in an indirect context refers to its customary sense. (shrink)

Although panpsychism has had a very long history, one that goes back to the very origin of western philosophy, its force has only recently been appreciated by analytic philosophers of mind. And even if many still reject the theory as utterly absurd, others have argued that it is the only genuine form of physicalism. This paper examines the case for panpsychism and argues that there are at least goodprima faciereasons for taking it seriously. In a second step, the paper discusses (...) the main difficulty the theory has to face, the ‘composition problem’. This is the problem of explaining how the primitive experiences that are supposed to exist at the ultimate level of reality could give rise to the unified experience of a human being. What assumptions as to the nature of experience generate the composition problem? Is mental composition impossible in principle or do we simply lack at present any understanding of phenomenal parts and wholes? (shrink)

This article builds upon existing scholarship concerning the relationship between improvisation and composition. Sections 1 to 3 comprise an exploration into and analysis of both the traditional understanding of improvisation and composition as opposing categories, as well as the more modern, nuanced view of their interpenetrating natures. I conclude that the former view should be replaced by the latter. Sections 4 and 5 present and subsequently negate two potential failings of my argument. First, I confront the problem posed (...) by Goehr’s work-concept, whose essence is opposed to the spirit of improvisation, but argue that recording allows for the solidification of these improvisations into works. Secondly, I undermine the view that composition is creation ex nihilo whilst improvisation is the mere reworking of old material. I uncover the originality of improvisation and formulae of composition to restore their compatibility and reinforce improvisation’s status as a method of broad- and narrow-sense composition. (shrink)

In this paper I respond to Trenton Merricks's (2005) paper ‘Composition and Vagueness’. I argue that Merricks's paper faces the following difficulty: he claims to provide independent motivation for denying one of the premisses of the Lewis-Sider vagueness argument for unrestricted composition, but the alleged motivation he provides begs the question.

David Lewis famously argued against structural universals since they allegedly required what he called a composition “sui generis” that differed from standard mereological com¬position. In this paper it is shown that, although traditional Boolean mereology does not describe parthood and composition in its full generality, a better and more comprehensive theory is provided by the foundational theory of categories. In this category-theoretical framework a theory of structural universals can be formulated that overcomes the conceptual difficulties that Lewis and (...) his followers regarded as unsurmountable. As a concrete example of structural universals groups are considered in some detail. (shrink)

I show that a particular version of Hume's Dictum together with the falsity of Composition as Identity entails an incoherency, so either that version of Hume's Dictum is false or Composition as Identity is true. I conditionally defend the particular version of Hume's Dictum in play, and hence conditionally conclude that Composition as Identity is true. I end by suggesting an alternative way out for a persistent foe of Composition as Identity, namely mereological nihilism.

Research on gender inequality has posited the importance of gender discrimination for women’s experiences at work. Previous studies have suggested that gender stereotyping and organizational factors may contribute to discrimination. Yet it is not well understood how these elements connect to foster gender discrimination in everyday workplaces. This work contributes to our understanding of these relationships by analyzing 219 discrimination narratives constructed from sex discrimination cases brought before the Ohio Civil Rights Commission. By looking across a variety of actual work (...) settings, the analysis sheds light on the cultural underpinnings and structural contexts in which discriminatory actions occur. The analyses reveal how gender stereotyping combines in predictable ways with sex composition of workplaces and organizational policies, often through interactional dynamics of discretionary policy usage, to result in discrimination. The findings suggest the importance of cultural, structural, and interactional influences on gender discrimination. (shrink)

Our world is full of composite objects that persist through time: dogs, persons, chairs and rocks. But in virtue of what do a bunch of little objects get to compose some bigger object, and how does that bigger object persist through time? This book aims to answer these questions, but it does so by looking at accounts of composition and persistence through a new methodological lens. It asks the question: what does it take for two theories to be genuinely (...) different, and how can we know whether what seems like metaphysical disagreement is really just semantic disagreement? By offering a framework within which to explore issues of theoretical diversity, this book provides a novel way of thinking about the inter-relationship between composition and persistence. Ultimately, it argues for a new way of thinking about these issues, a way that does not preserve the standard theoretical dichotomies between four-dimensionalist theories on the one hand, and three-dimensionalist theories on the other. (shrink)

The progressive dominance of historical-critical methods in the reading of ancient Chinese classics has led scholars to privilege micro levels of textual analysis. Consequently, the question as to whether laws of composition could be identified in this corpus has often been ignored, or considered irrelevant. Working on Chinese number symbolism as well as on rules governing “ring composition” in other cultural contexts, this article aims at fashioning anew the question of the possibility of an ancient Chinese “structural rhetoric” (...) and at envisioning the patterns that might have governed it. It specifically applies the approach it propounds to Huainanzi 淮南子, showing how numerology frames its structure and argument, the text being built after the image of the “roundness” of the Way and of the Ruler. It then endeavors to apply these results to the unearthing of “inter-structural” patterns that would help us to locate Huainanzi, Lüshi Chunqiu 呂氏春秋, the versions at hand of Zhuangzi 莊子, Lunyu 論語, or yet Laozi 老子 into a textual universe that shares correlated rhetorical features. (shrink)

Lewis has objected to Armstrong's notion of a structural universal on the grounds that it violates the Principle of Uniqueness of Composition (PUC), which says that given some parts, there is only one whole that they compose. This paper reviews Armstrong's case for structural universals, and then attempts to reconcile structural universals with PUC by arguing for the existence of arrangement universals. The latter are not only a key to defending structural universals against Lewis' objection, but are in fact (...) essential to Armstrong's conception of structural universals in general. Three objections to my proposal are deflected, and two alternative proposals are shown to be inferior to it. (shrink)

Our aim in this paper is to bring to light two sources of tension for Christian theists who endorse the principle of unrestricted composition, that necessarily, for any objects, the xs, there exists an object, y, such that the xs compose y. In Value, we argue that a composite object made of wholly valuable parts is at least as valuable as its most valuable part, and so the mereological sum of God and a wholly valuable part would be at (...) least as valuable as God; but Christian theism arguably demands that no concrete object other than God can be as valuable as God. And in Creation, we argue that the conjunction of theism and unrestricted composition, together with the claim that every concrete entity that is numerically distinct from God is created by God, implies that God is created by God. We conclude by examining the prospects of restricting the thesis of unrestricted composition to the domain of material or spatiotemporal objects as a way to sidestep the above arguments against the conjunction of Christian theism and unrestricted composition. (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.

Based on a sample of 54 Islamic indices over the period 2007–2014, we investigate the effect of Shariah board members' educational background on Islamic indices' risk and return characteristics via the screening criteria. Using a capital asset pricing model benchmark analysis, we assess the sensitivity of Islamic indices to their conventional peers in terms of beta and derive a measure of return (Jensen's alpha). First, we observe that the higher the number of members in common among the boards, the higher (...) the risk–return profile of Islamic indices. Second, commonalities among board members lead to standardization of the screening criteria and to similar Islamic indices' performance. Third, we show that different betas across providers depend on the screening criteria, while the economic educational background of board members affects performance in terms of Jensen's alpha. Our study aims at contributing to the governance literature related to board composition and its importance as a possible driver of performance. In addition, given the impressive growth that Islamic finance has experienced during the last decade, this topic is of great interest to the asset management industry. (shrink)

The closing chapters of Aristotle’s Nicomachean Ethics x are regularly described as “puzzling,” “extremely abrupt,” “awkward,” or “surprising” to readers. Whereas the previous nine books described—sometimes in lavish detail—the multifold ethical virtues of an embodied person situated within communities of family, friends, and fellow-citizens, NE x 6-8 extol the rarified, god-like and solitary existence of a sophos or sage (1179a32). The ethical virtues that take up approximately the first half of the Ethics describe moral exempla who experience fear fighting for (...) their communities, are sensitive to the esteem and recognition of others, and feel love for a desire to live together with a wide variety of kinds of friends. Such good people take pleasure in prudently expending sums to improve their communities—communities in which they exchange goods and participate in ruling and being ruled in a cooperative fashion. The exemplum of x 7-8, by contrast, is a person whose activity consists almost entirely in exercising his or her mind (nous)—a part of one’s soul that Aristotle explicitly notes is disconnected from human emotions and that can be exercised, insofar as one as wise, in a wholly solitary fashion (1178a15-16, a19-20; 1177a33-34). Although Aristotle’s claim that a “life in accord with the mind” is best and most pleasant (1178a6-7) may jar the intuitions of many people—he himself endorses Anaxagoras’ claim that the happy person will appear as “someone who is absurd” (atopos, 1179a15) to most people—it is false to claim that his conclusions in NE x 6-8 are unexpected or unanticipated, or that the text is in any way discontinuous with what precedes it. The Nicomachean Ethics exhibits aspects of ring-composition both within the work as a whole and within book 10. In NE i 5 Aristotle introduces his rendition of a trope that he inherits (most immediately) from Plato, viz. that the problem of the good can be considered like a contest between three different kinds of life—the life of enjoyment (apolaustikos), the life of politics (politikos), and the life of contemplation (theôrêtikos). NE x 6-8 returns to that contest, rendering a verdict about which life takes first, second, and third place. As the opening lines of NE x 6 note, that verdict presupposes central claims articulated between the first and last books of the Ethics, specifically about the nature of the virtues, the nature of friendship, and the nature of pleasure. NE i 5 and x 6-8 thus serve as “bookends” which encase arguments and proposition located between them. Book 10 exhibits a similar ring-composition. NE x opens with methodological reflection on the gap between the theoretical positions that thinkers articulate and the way they live their lives (especially in the case of scolds who simultaneously criticize pleasure on a scientific level but seek it on a practical level [1172a33-b8]). Chapter 8 concludes with an explicit reiteration of the methodological point, a reiteration that underscores how Aristotle’s treatment of the contest of lives incorporates central aspects of the discussion of pleasure in NE x 1-5. Aristotle’s reiteration of the problem of a gap between theory and practice also draws attention to the centrality of his treatment of pleasure in his adjudication of the three lives. Although the life of pleasure takes a distant third in the contest of lives, the contemplative life wins the contest in part because it itself is the most pleasant form of life. The central philosophical problem looming behind Aristotle’s treatment of the contest of lives concerns the relationship between the notion of activity (energeia) and the notion of a way of life (bios). In the last four decades, much of the scholarship on NE x 6-8 has sought to address the question of what activities a certain way of life includes or excludes. “Monistic” or “dominant” end interpretations of the best life have viewed it as including only contemplative activities whereas “inclusivist” end interpretations of the best life have viewed it as including non-contemplative activities. Although this chapter largely side-steps this debate—partially because there are ample recent first-rate introductory treatments of the debate, partially because I have addressed the question elsewhere in my own writing —I argue that focusing solely on the contest between the two best ways of life overshadows the way that Aristotle incorporates insights from the third way of life into the best way of life. Although the notion of a contest among different kinds of lives presupposes that the lives are mutually exclusive, Aristotle has no problem saying that the contemplative life trumps the life of pleasure because the contemplative life is more pleasant. I proceed in two parts. In the first part I examine what I will call the “outer” ring of the Ethics, namely the relationship between the contest of lives proposed in NE i 5 and its overall resolution in x 6-8. I show how i 5 and x 6 establish the framework for the contest, how x 7 adjudicates that contest in large part by relying upon premises articulated in the interim between books 1 and 10, and how x 6 and x 8 determine the second and third place positions in the contest. In the second part I focus on what I will call the “inner” ring of NE x. More than half of NE x struggles with the nature of pleasure, its role in a happy life, and the methodological problems of examining pleasure within a practical science. I show how x 1 and x 8 are “bookends” that underscore the methodological problem of examining pleasure and how the contest of lives draws upon the proximate conclusions concerning the nature of pleasure in NE x 1-5. (shrink)

This manuscript delves into the philosophical debate surrounding the Special Composition Question (SCQ), focusing on the causal relationships between objects and their constituent parts. By distinguishing between Weak and Strong Causal Composition, the article explores how causal mechanisms underpin the composition of objects. Theories from notable philosophers, including van Inwagen and Leibniz, are evaluated. This study seeks to bridge the gap between common sense perspectives and principled ontological theories by introducing the concepts of Weak and Strong Causal (...) Composition. The analysis reveals how a causal approach can offer insightful resolutions to longstanding debates in mereology and ontology, emphasizing the role of causality in understanding the essence of material composition. The proposed causal perspective encourages further philosophical inquiry into the foundational principles governing the composition of objects. (shrink)

This is a critical appreciation of Govier’s 2006 ISSA keynote address on the fallacy of composition, and of economists’ writings on this fallacy in economics. I argue that the “fallacy of composition” is a problematical concept, because it does not denote a distinctive kind of argument but rather a plurality, and does not constitute a distinctive kind of error, but rather reduces to oversimplification in arguing from micro to macro. Finally, I propose further testing of this claim based (...) on examples involving public vs. private debt in economics; oligarchic tendencies in politics, and the emergence of societal wholes in sociology. (shrink)

Some philosophers accept what I call minimalist views about composition. They either deny that composition ever occurs, or they only allow that composition occurs when some things are taken up into a life. While minimalists often take their views to be somewhat revisionary, they usually want to distinguish their views from truly radical views such as the view that there is no external world at all. They often do this by noting that, although they don’t believe that (...) there are tables, chairs, or planets, they do believe that there are mereological simples arranged tablewise, chairwise, and planetwise. In this paper, I appeal to the nature of perceptual experience to present a problem for this move. I contend that, given some plausible assumptions, compositional minimalists cannot consistently maintain that they are justified in their minimalism and justified in believing propositions about the arrangements of mereological simples. I will argue that this commits such minimalists to external world skepticism. (shrink)

As shown by Ramarkrishnan, the faithful mapping, in the sense of Lie groups, of the real line onto the finite segment−1composition law” w=(u+v)/(1+uv) and the Lorentz-Poincaré transformation formulas. Composition of translations is merely one application of this. Carmeli has shown that composition of rotations is another one. There may be still others.

This paper examines the role of Kant's theory of mathematical cognition in his phoronomy, his pure doctrine of motion. I argue that Kant's account of how we can construct the composition of motion rests on the construction of extended intervals of space and time, and the representation of the identity of the part–whole relations the construction of these intervals allow. Furthermore, the construction of instantaneous velocities and their composition also rests on the representation of extended intervals of space (...) and time, reflecting the general approach to instantaneous velocity in the eighteenth century. (shrink)

Cet article relate les détours d’un parcours de recherche doctorale sinueux. L’interdisciplinarité du projet dont il est question a mis au jour une incompatibilité des conceptions du sens et de l’implicite. Le projet visait à étudier les moyens de communication dont dispose l’interlocuteur pour gérer l’intercompréhension. Afin de mener les analyses, quatre types d’observables ont été dégagés : celles qui informent directement sur le contenu de son interprétation ou sur sa satisfaction vis-à-vis de cette interprétation, celles qui changent de sujet, (...) et celles qui poursuivent l’interaction « vers l’avant ». Ces quatre types d’observables ont conduit à une conception tridimensionnelle du sens : une dimension situante du sens ; la dimension structurante du sens ; la dimension relationnelle du sens. Cette modélisation remet en question la notion d’implicite ainsi que la distinction entre connotation et dénotation. (shrink)

Name der Zeitschrift: Semiotica - Journal of the International Association for Semiotic Studies / Revue de l'Association Internationale de Sémiotique Jahrgang: 2013 Heft: 197 Seiten: 1-34.

The existence of the achievement gap is more than just a black?white issue; contrary to stereotypes, it is a concern within Asian homes. Hmong students underachieve in comparison with many East Asian students. Traditional cultural practices and poverty have been identified as explanatory factors. Our data suggest that a more critical factor might be within?school segregation. Utilising a racial exposure statistic, it was found that the more diverse a school became, the higher the achievement of Hmong limited English proficient (LEP) (...) students. This study provides theoretical explanations for this finding and implications for Hmong student achievement. (shrink)

It is customary practice to define ‘x is composed of the ys’ as ‘x is a sum of the ys and the ys are pairwise disjoint ’. This predicate has played a central role in the debate on the special composition question and on related metaphysical issues concerning the mereological structure of objects. In this note we show that the customary characterization is nonetheless inadequate. We do so by constructing a mereological model where everything qualifies as composed of atoms (...) even though some elements in the domain are gunky, i.e., can be divided indefinitely into smaller and smaller proper parts. (shrink)

In this paper, I explore whether elementary classical mechanics adheres to the Principle of Composition of Causes as Mill claimed and as certain contemporary authors still seem to believe. Among other things, I provide a proof that if one reads Mill’s description of the principle literally, it does not hold in any general sense. In addition, I explore a separate notion of Composition of Causes and note that it too does not hold in elementary classical mechanics. Among the (...) major morals is that there is no utility to describing classical mechanics in terms of Composition of Causes. This is both because the stated principles do not hold and because when one describes what actually does hold in classical mechanics in terms of the Composition of Causes, one introduces misleading associations that can generate errors just as claimed by Russell. (shrink)

Vasubandhu’s arguments against atomism in Viṃśikā stanzas 12–13 are not strong enough to disprove that atoms are simple partless substances. However, if we take the special composition question into consideration, Viṃśikā stanza 13ab can be regarded as an objection to so-called series-style answers, which results in an undesirable conclusion for the opponents, i.e. the Vaibhāṣikas. A step back to a simple bonding answer is not a good choice for the Vaibhāṣikas in responding to this objection because the simple bonding (...) answer leads to other difficulties and because some notions in Vaibhāṣika atomic theory entail multigrade relations in the material aggregates of atoms. Hence, the objection to series-style answers still makes sense in the refutation of Buddhist atomism through the claim that atoms are not proper parts of a material aggregate. (shrink)

The last decade has seen an explosion of research on the gut microbiota—the trillions of microorganisms that colonize the human gut. It is now clear that interindividual diversity in microbiota composition plays an important role in determining susceptibility to a wide variety of diseases. However, identifying the precise changes in microbiota composition that play causal roles has remained a largely unrealized goal. Here, we propose that functional classifications of microbes based on their interactions with and effects on the (...) host—particularly the host immune system—will illuminate the role of the microbiota in shaping human physiology. We outline the benefits of “functional” classification compared to phylogenetic classifications, and review current efforts at functional classification of the microbiota. Finally, we outline a theoretical framework for classifying host-microbiota interactions. Future advances enabling broader functional classifications of the microbiota promise to revolutionize our understanding of the role of gut microbes in health and disease. Functional classifications of the human microbiota reveal previously hidden patterns and will be key to cracking the microbiota composition code. This figure shows a theoretical comparison between phylogenetic classification and functional classification of a host-associated microbial community. (shrink)

박세당(1629∼1703)은 조선시대에 유일하게 『장자』 전편을 주석한 『남화경주해산보』를 저술하고, 말년에는 斯文亂賊으로 지탄받던 인물이다. 본 논문의 목적은 조선시대에 주류사상이던 주자학의 집대성자인 주자(1130∼1200)와 박세당의 장자 인식의 비교를 통해 17세기 조선에서 『남화경주해산보』 저술이 가지는 의의를 究明하는 데 있다. 조선시대에는 주자학이 정통 교학으로서 부동의 위치를 차지하고 있었으므로 老莊을 비롯한 여타의 사상은 주자학과의 관계 속에서 논의되어야만 한다. 박세당의 장자 인식은 주자의 장자 인식에서 크게 벗어나지 않는다.『남화경주해산보』 저술은 주자의 장자 인식을 계승하여 적극적으로 심화시켰다고 할 수 있다. 이 때문에 노론 측에서 사문난적으로 비판할 때에도 『신주도덕경』과 『남화경주해산보』은 언급되지 않은 (...) 것이다. 그러나 또 다른 한편으로는 주자학에서 벗어나려는, 즉 탈주자학적 시도이다. 박세당은 장자가 유가와 대척점에 있다고 보지 않는다. 『남화경주해산보』를 통해서 첫째, 장자가 세상에 대해 지대한 관심을 가지고 현실을 냉철하게 직시하였음을 강조하고, 둘째, 父子와 君臣 간의 人倫 관계를 중시했음을 증명하여 유가사상과 상통점을 찾고, 셋째, 장자의 人性論을 새롭게 조명하여 유가 인성론을 재정립하고, 넷째, 장자사상을 응용하여 分黨과 禮訟論爭 등 소모적인 政爭에서 벗어나려고 한다. 박세당이 『신주도덕경』과 『남화경주해산보』를 저술하지만, 이는 補儒의 일환이고 본령은 유학이다. 그가 탈피하고자 한 것은 주자학의 절대화였지 유학 자체는 아니다. 주자학이 정통 교학이자 지배 이념으로 절대화되고 교조화되던 17세기의 조선에서 박세당의 『남화경주해산보』 저술은 매우 혁신적인 시도로서, 박세당이 주자학에서 벗어나 탈주자학의 선구자로서 정통 주자학자들과 지향점을 달리하여 독자적이고 진보적인 학문 세계를 구축하였음을 보여준다. (shrink)