A cohesive power of a structure is an effective analog of the classical ultrapower of a structure. We start with a computable structure, and consider its effective power over a cohesive set of natural numbers. A cohesive set is an infinite set of natural numbers that is indecomposable with respect to computably enumerable sets. It plays the role of an ultrafilter, and the elements of a cohesive power are the equivalence classes of certain partial computable functions determined by the cohesive (...) set. Thus, unlike many classical ultrapowers, a cohesive power is a countable structure. In this paper we focus on cohesive powers of graphs, equivalence structures, and computable structures with a single unary function satisfying various properties, which can also be viewed as directed graphs. For these computable structures, we investigate the isomorphism types of their cohesive powers, as well as the properties of cohesive powers when they are not isomorphic to the original structure. (shrink)

Proportionality—the idea that causes are neither too general nor too specific for their effects—seems to recommend implausibly disjunctive causes (McGrath, 1998 ; Shapiro & Sober, 2012 ; Franklin-Hall, 2016 ). I argue that this problem should be avoided by appeal to the notion of cohesion. I propose an account of cohesion in terms of the similarity structure of property-spaces, argue that it is not objectionably mysterious, and that alternative approaches—based on naturalness, interventionism, and contrastivism—are inadequate without appeal to (...) it. In an appendix, I show how my proposal can be perspicuously formalized by adapting structural equation models. (shrink)

We study the degrees of unsolvability of sets which are cohesive . We answer a question raised by the first author in 1972 by showing that there is a cohesive set A whose degree a satisfies a' = 0″ and hence is not high. We characterize the jumps of the degrees of r-cohesive sets, and we show that the degrees of r-cohesive sets coincide with those of the cohesive sets. We obtain analogous results for strongly hyperimmune and strongly hyperhyperimmune sets (...) in place of r-cohesive and cohesive sets, respectively. We show that every strongly hyperimmune set whose degree contains either a Boolean combination of ∑2 sets or a 1-generic set is of high degree. We also study primitive recursive analogues of these notions and in this case we characterize the corresponding degrees exactly. MSC: 03D30, 03D55. (shrink)

A far-reaching and influential view in evolutionary biology claims that species are cohesive units held together by gene flow. Biologists have recognized empirical problems facing this view; after sharpening the expression of the view, we present novel conceptual problems for it. At the heart of these problems is a distinction between two importantly different concepts of cohesion, what we call integrative and response cohesion. Acknowledging the distinction problematizes both the explanandum of species cohesion and the explanans of (...) gene flow that are central to the view we discuss. We conclude by tracing four broader implications for the study and conceptualization of species. (shrink)

Introduction -- The application of functional linguistics to film -- Cohesion in film -- Analysing action patterns in film -- Conclusion.

According to the species-as-individuals thesis(hereafter S-A-I), species are cohesive entities. Barker and Wilson recently pointed out that the type of cohesion exhibited by species is fundamentally different from that of organisms (paradigmatic individuals), suggesting that species are homeostatic property cluster kinds. In this article, I propose a shift in how to approach cohesion in the context of S-A-I: instead of analyzing the different types of cohesion and questioning whether species have them, I focus on the role played (...) by cohesion in the identity of individuals. This shift allows us to recognize why cohesion matters to S-A-I, as well as to reconceive the analogy between species and organisms (paradigmatic individuals), and also allows us to highlight the context sensitivity of both ‘‘cohesion’’ and ‘‘individuals.’’ From this perspective, I identify two problems in Barker and Wilson’s argumentation. Firstly, the authors fail to recognize that species are individuals even if they do not have the same type of cohesion that organisms have. Secondly, their argument relies on a misinterpretation of S-A-I. I conclude that species cohesion is still best framed as a feature of species individuality rather than a feature of species as homeostatic property cluster kinds. The arguments presented here contribute to the re-articulation and reevaluation of S-A-I in the face of contemporary discussions. (shrink)

This paper is about the history of a question in ancient Greek philosophy and medicine: what holds the parts of a whole together? The idea that there is a single cause responsible for cohesion is usually associated with the Stoics. They refer to it as the synectic cause (αἴτιον συνεκτικόν), a term variously translated as ‘cohesive cause,’ ‘containing cause’ or ‘sustaining cause.’ The Stoics, however, are neither the first nor the only thinkers to raise this question or to propose (...) a single answer. Many earlier thinkers offer their own candidates for what actively binds parts together, with differing implications not only for why we are wholes rather than heaps, but also why our bodies inevitably become diseased and fall apart. This paper assembles, up to the time of the Stoics, one part of the history of such a cause: what is called ‘the synechon’ (τὸ συνέχον) – that which holds things together. Starting with our earliest evidence from Anaximenes (sixth century BCE), the paper looks at different candidates and especially the models and metaphors for thinking about causes of cohesion which were proposed by different philosophers and doctors including Empedocles, early Greek doctors, Diogenes of Apollonia, Plato and Aristotle. My goal is to explore why these candidates and models were proposed and how later philosophical objections to them led to changes in how causes of cohesion were understood. (shrink)

The aim of this paper is to determine the logical and computational strength of instances of the Bolzano-Weierstraß principle and a weak variant of it.We show that BW is instance-wise equivalent to the weak König’s lemma for Σ01-trees . This means that from every bounded sequence of reals one can compute an infinite Σ01-0/1-tree, such that each infinite branch of it yields an accumulation point and vice versa. Especially, this shows that the degrees d ≫ 0′ are exactly those containing (...) an accumulation point for all bounded computable sequences.Let BWweak be the principle stating that every bounded sequence of real numbers contains a Cauchy subsequence . We show that BWweak is instance-wise equivalent to the cohesive principle and—using this—obtain a classification of the computational and logical strength of BWweak. Especially we show that BWweak does not solve the halting problem and does not lead to more than primitive recursive growth. Therefore it is strictly weaker than BW. We also discuss possible uses of BWweak. © 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim. (shrink)

The rapid spread of SARS-CoV-2 and its corresponding COVID-19 is challenging national preparedness and response ability to pandemics. No one is prepared well, but governments around the world must respond as effectively and efficiently as possible to pandemics, and every occurrence of such worldwide disease must be a lesson for preparedness. While plans and programs may be in place to arrest the rapid spread of the virus, the success of any state intervention relies much on how cohesive the society is, (...) how trusting the people are, and how trustworthy the government is. Social cohesion begets trust, and trust engenders obedience and calm. The absence of social cohesion produces social unrest and social erosion, lack or absence of social trust creates risk societies, disobedience. When these conditions exist, the spread of a virus is inevitable. Furthermore, they create a pandemic of confusion and fear, of stigmatization and discrimination. The ways that nations respond to the pandemic today and how the society responds to state actions will principally determine their lots and destinies in the next decades or even in the next elections. The pandemic reveals the quality of leaders and people a nation has. Governments that are successful at controlling the spread of SARS-CoV-2 and minimizing fatalities of COVID-19 will enjoy even more social cohesion and public trust, while those that deferred vigorous interventions to control its spread will see greater social stress and distrust, resulting in the paralyzation of the public’s faith in leaders and government institutions. (shrink)

We study the strength of RRT32, Rainbow Ramsey Theorem for colorings of triples, and prove that RCA0 + RRT32 implies neither WKL0 nor RRT42 source. To this end, we establish some recursion theoretic properties of cohesive sets and rainbows for colorings of pairs. We show that every sequence admits a cohesive set of non-PA Turing degree; and that every ∅′-recursive sequence admits a low3 cohesive set.

On the basis of a reconstruction of legal theory in the tradition of Marx - a current that has been more or less silenced since the end of the 1970s - Subjectivation and Cohesion develops a critical counter-pole to the theories of law that predominate in social theory today. To this end, the works of Franz Neumann, Otto Kirchheimer, Evgeny Pashukanis, Oskar Negt, Isaac D. Balbus, the so-called 'State-derivation School', Antonio Gramsci, Nicos Poulantzas and Michel Foucault are first analysed (...) for their strengths and weaknesses, and then combined to form a new construction: a materialist legal theory that is up to date and can avoid the shortcomings of existing theories - above all their disregard for gender relations and the reductive consequences of functionalist, economic or politicist approaches to law. (shrink)

Cohesive powersof computable structures are effective analogs of ultrapowers, where cohesive sets play the role of ultrafilters. Let$\omega $,$\zeta $, and$\eta $denote the respective order-types of the natural numbers, the integers, and the rationals when thought of as linear orders. We investigate the cohesive powers of computable linear orders, with special emphasis on computable copies of$\omega $. If$\mathcal {L}$is a computable copy of$\omega $that is computably isomorphic to the usual presentation of$\omega $, then every cohesive power of$\mathcal {L}$has order-type$\omega + (...) \zeta \eta $. However, there are computable copies of$\omega $, necessarily not computably isomorphic to the usual presentation, having cohesive powers not elementarily equivalent to$\omega + \zeta \eta $. For example, we show that there is a computable copy of$\omega $with a cohesive power of order-type$\omega + \eta $. Our most general result is that if$X \subseteq \mathbb {N} \setminus \{0\}$is a Boolean combination of$\Sigma _2$sets, thought of as a set of finite order-types, then there is a computable copy of$\omega $with a cohesive power of order-type$\omega + \boldsymbol {\sigma }(X \cup \{\omega + \zeta \eta + \omega ^*\})$, where$\boldsymbol {\sigma }(X \cup \{\omega + \zeta \eta + \omega ^*\})$denotes the shuffle of the order-types inXand the order-type$\omega + \zeta \eta + \omega ^*$. Furthermore, ifXis finite and non-empty, then there is a computable copy of$\omega $with a cohesive power of order-type$\omega + \boldsymbol {\sigma }(X)$. (shrink)

This article is a response to recent attempts by liberals to defend faith-based schools against the criticism that they are both socially divisive and prejudicial to the individual autonomy of their pupils. Geoffrey Short (2002) and Johan De Jong and Ger Snik (2002) divide faith-based schooling into moderate and strong versions and then go on to argue for a moderate version of faith schooling that is compatible with liberal educational aims in culturally diverse societies. Against this view I will argue (...) that it is the qualities of the strong version of faith schooling that appeals to many traditional religious communities and any liberal defence of faith schooling must take account of this. The article concludes by examining the part that faith schools might play in the achievement of a range of diverse, and often incompatible, human goods—community belonging, social cohesion and individual autonomy. (shrink)

Establishing and maintaining reference is a crucial part of discourse. In spoken languages, differential linguistic devices mark referents occurring in different referential contexts, that is, introduction, maintenance, and re-introduction contexts. Speakers using gestures as well as users of sign languages have also been shown to mark referents differentially depending on the referential context. This article investigates the modality-specific contribution of the visual modality in marking referential context by providing a direct comparison between sign language and co-speech gesture with speech in (...) elicited narratives. Across all forms of expression, we find that referents in subject position are referred to with more marking material in re-introduction contexts compared to maintenance contexts. Furthermore, we find that spatial modification is used as a modality-specific strategy in both DGS and German co-speech gesture, and that the configuration of referent locations in sign space and gesture space corresponds in an iconic and consistent way to the locations of referents in the narrated event. However, we find that spatial modification is used in different ways for marking re-introduction and maintenance contexts in DGS and German co-speech gesture. The findings are discussed in relation to the unique contribution of the visual modality to reference tracking in discourse when it is used in a unimodal system with full linguistic structure versus in a bimodal system that is a composite of speech and gesture. (shrink)

ABSTRACT: It is characteristic of a continuum that it be “all of one piece”, in the sense of being inseparable into two (or more) disjoint nonempty parts. By taking “part” to mean open (or closed) subset of the space, one obtains the usual topological concept of connectedness . Thus a space S is defined to be connected if it cannot be partitioned into two disjoint nonempty open (or closed) subsets – or equivalently, given any partition of S into two open (...) (or closed) subsets, one of the members of the partition must be empty. This holds, for example, for the space R of real numbers and for all of its open or closed intervals. Now a truly radical condition results from taking the idea of being “all of one piece” literally, that is, if it is taken to mean inseparability into any disjoint nonempty parts, or subsets, whatsoever . A space S satisfying this condition is called cohesive or indecomposable. While the law of excluded middle of classical logic reduces indecomposable spaces to the trivial empty space and one-point spaces, the use of intuitionistic logic makes it possible not only for nontrivial cohesive spaces to exist, but for every connected space to be cohesive.In this paper I describe the philosophical background to cohesiveness as well as some of the ways in which the idea is modelled in contemporary mathematics. (shrink)

For 20th century mathematicians, the role of Cantor's sets has been that of the ideally featureless canvases on which all needed algebraic and geometrical structures can be painted. (Certain passages in Cantor's writings refer to this role.) Clearly, the resulting contradication, 'the points of such sets are distinc yet indistinguishable', should not lead to inconsistency. Indeed, the productive nature of this dialectic is made explicit by a method fruitful in other parts of mathematics (see 'Adjointness in Foundations', Dialectia 1969). This (...) role of Cantor's theory is compared with the role of Galois theory in algebraic geometry. (shrink)

We study some generalized notions of cohesiveness which arise naturally in connection with effective versions of Ramsey's Theorem. An infinite set A of natural numbers is n-cohesive (respectively, n-r-cohesive) if A is almost homogeneous for every computably enumerable (respectively, computable) 2-coloring of the n-element sets of natural numbers. (Thus the 1-cohesive and 1-r-cohesive sets coincide with the cohesive and r-cohesive sets, respectively.) We consider the degrees of unsolvability and arithmetical definability levels of n-cohesive and n-r-cohesive sets. For example, we show (...) that for all n ≥ 2, there exists a Δ 0 n+1 n-cohesive set. We improve this result for n = 2 by showing that there is a Π 0 2 2-cohesive set. We show that the n-cohesive and n-r-cohesive degrees together form a linear, non-collapsing hierarchy of degrees for n ≥ 2. In addition, for n ≥ 2 we characterize the jumps of n-cohesive degrees as exactly the degrees ≥ 0 (n+1) and also characterize the jumps of the n-r-cohesive degrees. (shrink)

The paper reports the results of a comparative analysis of the two groups students coming from temporarily disconnected families due to foreign work parents and teenagers with the same social environment, but without the experience of separation time. The subject of the analysis was: the cohesion of a family from the perspective of the evaluated adolescent and three factors of psychological loneliness: social loneliness, emotional loneliness and existential loneliness. The Loneliness Scale was used based on an original concept of (...) multidimensional sense of loneliness. The questionnaire for the survey of family cohesion were used too. The age, gender, family structure and the family lifestyle were controlled. Obtained results revealed significantly lower cohesion and significantly higher existential loneliness in group of teenagers from temporarily disconnected families. Not confirmed the supposition that made in earlier studies of temporarily disconnected families due to economic migration, that these teenagers suffer from a sense of emotional loneliness There has also confirmed the belief that the level of family cohesion and a sense of loneliness in adolescents is associated with atypical organization of family life associated with the duration of migration of parent/parents, frequency of contact with family members working abroad: mothers, fathers or broth parents, the duration of stays at home. (shrink)

ObjectiveThe family remains one of the most important relationship systems into early adulthood and provides an important foundation for lifelong mental health. Dysfunctional family cohesion can promote adjustment problems in adolescents and might also affect adolescents’ self-concept and strategies for coping with emotional distress. To test these relationships and the underlying mechanisms, we proposed a dual mediation model describing the associations between family cohesion and internalizing and externalizing problems, mediated by shame-proneness and expressive suppression.MethodsA sample of 526 German-speaking (...) adolescents aged 14 to 18 years from Austria, Germany, and Switzerland participated in an online self-report survey encompassing questionnaires on family cohesion, shame-proneness, expressive suppression, and psychological problems. We tested a path model to examine the indirect pathways of the associations between family cohesion and internalizing and externalizing problems via shame-proneness and expressive suppression, while controlling for age, gender, and guilt-proneness.ResultsWe found a significant dual mediation of the associations between family cohesion and internalizing and externalizing problems by shame-proneness and expressive suppression. The indirect pathways were all significant, except for the indirect pathway from family cohesion to externalizing problems via shame-proneness.DiscussionOur results provide a model for the mechanisms by which disrupted family cohesion can be related to psychological problems in adolescents. Expressive suppression emerged as crucial when considering the consequences of shame-proneness in adolescents, as it was only indirectly related to externalizing problems via expressive suppression. (shrink)

Democratic elections, whatever the flaws, tend to produce a sense of social cohesion as ordinary citizens, treated as equals, gather together to select their country’s political leaders. In China,...

This paper leads to apply some recent developments in the economic literature dealing with the concept of innovation systems to the problem of economic cohesion in Europe. Starting from a definition of innovation systems, it allows to consider firms and sets of intstitutions as two main but different types of innovation systems. This distinction is the source of a discussion about the nature of the coordination problems which appear when considering the European diversity of innovation systems. The different combinations (...) between innovation systems developed in the paper are a useful means of discussing European policy intervention and its ability to favour (or not) economic cohesion. (shrink)

Political sociologists interested in corporate power have focused increasingly on the extent to which the business community is cohesive. Studies of cohesion, however, frequently contain either no definition or operational definitions with little theoretical rationale. This paper examines the uses of the term cohesion in the power structure literature as well as in classical and contemporary sociological theory. I argue that: (1) cohesion is most appropriately defined as an objective characteristic of a social structure; (2) to understand (...) a group's power, we should focus on the extent to which its members behave similarly; and (3) the concept of structural equivalence may be as likely to capture the processes of interest to power structure researchers as the concept of cohesion. Findings from a study of corporate political behavior are presented to illustrate this argument. (shrink)

Ce texte correspond au chapitre 4 de l'ouvrage suivant : E. Prak-Derrington, Magies de la répétition, Lyon, ENS Editions, 2021, 406 p. Il est disponible intégralement ici. Les figures proposées pour illustrer les lois particulières de la Gestalt au chapitre précédent illustraient notre perception visuelle, la structuration de l'espace ; or la parole se déroule dans le temps. La répétition figurale structure le temps autrement que ne le fait la parole à vocation prioritairement informative, c'est en - Poétique et Études (...) littéraires – GALERIE – Nouvel article. (shrink)

El artículo estudia esa obra de Agustín, señalando que la sección de relatos de sueños y visiones en que se aparecen tanto vivos como muertos, está vinculada fuertemente a la parte anterior del tratado, mediante mecanismos lingüísticos. Muestra también que la tercera sección de la obra no es una digresión, sino un elemento esencial de la argumentación.

Authors of non-liberal proposals experience more collegial objections than others do. These objections are often couched as criticism of determinism, reductionism, or methodological individualism, but from a scientific viewpoint such criticism could be easily answered. Underneath it is a wish to harness scientific belief in service of positive social values, at the cost of reducing objectivity.

Following Peter Elbow’s work on ‘resonant voice’ or ‘presence’, this essay examines the seldom-explored resonance between a text and its writer in the moment of its creation. The essay asks what the boundaries and content of this space might look like, and how this knowledge might positively affect the creative product. It challenges the popular search for a writer’s ‘voice’, instead positing that each writer has a perpetually shifting internal plurality of voices, which unifies the constructivist and social constructionist views (...) of the self. By arguing that the resonance between writer and writing is the experience of this plurality coming to harmony, the essay posits that to create such a resonance involves a balance of simultaneously relinquishing control to the internal choir and learning how to better conduct it. (shrink)