In this paper we work in an arbitrary o-minimal structure with definable Skolem functions and prove that definably connected, locally definable manifolds are uniformly definably path connected, have an admissible cover by definably simply connected, open definable subsets and, definable paths and definable homotopies on such locally definable manifolds can be lifted to locally definable covering maps. These properties allow us to obtain the main properties of the general o-minimal fundamental group, including: invariance and comparison results; existence of (...) universal locally definable covering maps; monodromy equivalence for locally constant o-minimal sheaves – from which one obtains, as in algebraic topology, classification results for locally definable covering maps, o-minimal Hurewicz and Seifert–van Kampen theorems. (shrink)

For a tree T of its height equal to or less than ω1, we construct a space XT by attaching a circle to each node and connecting each node to its successors by intervals. is the Hawaiian earring and H1T denotes a canonical factor of the first integral singular homology group. The following equivalences hold for an ω1-tree T: π1 is embeddable into π1, if and only if is embeddable into H1T, if and only if T is not an (...) Aronzajn tree. π1 is embeddable into if and only if H1T is embeddable into if and only if T is a special Aronzajn tree. π1 has a retract isomorphic to an uncountable free group, if and only if H1T has a summand isomorphic to an uncountable free abelian group, if and only if T has an uncountable anti-chain. (shrink)

The existing research aims to seek the herding effects on stock returns at the industry level in Pakistan Stock Exchange. Moreover, the relationship between stock returns and herding has been studied by taking some macroeconomic and fundamental control variables. Herding is actually imitating other’s behaviour. This phenomenon indicates a situation where the investors follow the crowed and ignores their personal information, despite knowing the correctness of their information. Herd behaviour may drive from fundamental factors leading to efficient markets. (...) However, it may not be associated with fundamental information causing unstable prices. The stock price data of PSX listed companies from 1999 to 2017 have been the point of focus. The underlying herding measure was the cross-sectional absolute deviation, proposed by Chang et al.. The significant analysis technique facilitating the current research is pooled mean group /panel autoregressive distributed lag approach. Findings revealed that some sectors are evident for positive effect of herding on stock returns, whereas some others are witnessed for its negative effects on stock returns, in both long run and short run. As far as the control variables are concerned, they demonstrated both significant and insignificant effects on stock returns in different sectors of PSX. The study has important implications for policymakers. (shrink)

Modern societies are characterized by group-based hierarchies. Similar to attackers, disadvantaged-group members wish to change the status quo; like defenders, advantaged-group members wish to protect it. However, the psychological arrays that are typical of disadvantaged- and advantaged-group members are opposite to those of attackers and defenders – suggesting that the Attacker-Defender Game does not capture the dynamics between advantaged and disadvantaged groups.

Let M = 〈M, +, <, 0, {λ}λ∈D〉 be an ordered vector space over an ordered division ring D, and G = 〈G, ⊕, eG〉 an n-dimensional group definable in M. We show that if G is definably compact and definably connected with respect to the t-topology, then it is definably isomorphic to a 'definable quotient group' U/L, for some convex V-definable subgroup U of 〈Mⁿ, +〉 and a lattice L of rank n. As two consequences, we derive (...) Pillay's conjecture for a saturated M as above and we show that the o-minimal fundamental group of G is isomorphic to L. (shrink)

In both biology and the human sciences, social groups are sometimes treated as adaptive units whose organization cannot be reduced to individual interactions. This group-level view is opposed by a more individualistic one that treats social organization as a byproduct of self-interest. According to biologists, group-level adaptations can evolve only by a process of natural selection at the group level. Most biologists rejected group selection as an important evolutionary force during the 1960s and 1970s but a (...) positive literature began to grow during the 1970s and is rapidly expanding today. We review this recent literature and its implications for human evolutionary biology. We show that the rejection of group selection was based on a misplaced emphasis on genes as “replicators” which is in fact irrelevant to the question of whether groups can be like individuals in their functional organization. The fundamental question is whether social groups and other higher-level entities can be “vehicles” of selection. When this elementary fact is recognized, group selection emerges as an important force in nature and what seem to be competing theories, such as kin selection and reciprocity, reappear as special cases of group selection. The result is a unified theory of natural selection that operates on a nested hierarchy of units.The vehicle-based theory makes it clear that group selection is an important force to consider in human evolution. Humans can facultatively span the full range from self-interested individuals to “organs” of group-level “organisms.” Human behavior not only reflects the balance between levels of selection but it can also alter the balance through the construction of social structures that have the effect of reducing fitness differences within groups, concentrating natural selection (and functional organization) at the group level. These social structures and the cognitive abilities that produce them allow group selection to be important even among large groups of unrelated individuals. (shrink)

A fundamental characteristic of human visual perception is the ability to group together disparate elements in a scene and treat them as a single unit. The mechanisms by which humans create such groupings remain unknown, but grouping seems to play an important role in a wide variety of visual phenomena. I propose a neural model of grouping; through top-down control of its circuits, the model implements a grouping strategy that involves both a connection strategy (which elements to connect) (...) and a selection strategy (spatiotemporal properties of a selection signal that segments target elements to facilitate identification). With computer simulations I explain how the circuits work and show how they can account for a wide variety of Gestalt principles of perceptual grouping. Additionally, I extend the model so that it can simulate visual search tasks. I show that when the model uses particular grouping strategies, simulated results closely match empirical results from replication experiments of three visual search tasks. In these experiments, perceptual grouping was induced by proximity and shape similarity (Palmer & Beck, 2007), by the spacing of irrelevant distractors and size similarity (Vickery, 2008), or by the proximity of dots and the proximity and shape similarity of line figures (Trick & Enns, 1997). Thus, I show that the model accounts for a variety of grouping effects and indicates which grouping strategies were likely used to promote performance in three visual search tasks. (shrink)

Some questions connected with the carry over of fundamental group theory to constructive mathematics, and with the relationship between classical and constructive group theories are considered herein. All the considerations are carried out within the scope of constructive mathematics.

Attempts to understand the fundamental forces shaping conflict between attacking and defending groups can be hampered by a narrow focus on humans and reductionist, oversimplified modelling. Further progress depends on recognising the striking parallels in between-group conflict across the animal kingdom, harnessing the power of experimental tests in nonhuman species and modelling the eco-evolutionary feedbacks that drive attack and defence.

Through a critical engagement with Merleau-Ponty’s discussion of the concepts of nature, life, and behavior, and with contemporary accounts of animal groups, this article argues that animal groups exhibit sociality and that sociality is a fundamental ontological condition. I situate my account in relation to the superorganism and selfish individual accounts of animal groups in recent biology and zoology. I argue that both accounts are inadequate. I propose an alternative account of animal groups and animal sociality through a Merleau-Pontian (...) inspired definition of behavior. I criticize Merleau-Ponty’s individualistic prejudice, but show that his philosophy contains the resources necessary to overcome this bias. I define behavior as a holistic, ongoing, meaningful and Umwelt-oriented intrinsically configured expression of living forms of existence. By looking at cases of animal groups drawn from contemporary studies in zoology and behavioral ecology, I show that animal groups, in the fact that they behave, manifest themselves to be a fundamental form of existence, namely, the social form of existence. (shrink)

Suppose G is a definably connected, definable group in an o-minimal expansion of an ordered group. We show that the o-minimal universal covering homomorphism equation image: equation image→ G is a locally definable covering homomorphism and π1 is isomorphic to the o-minimal fundamental group π of G defined using locally definable covering homomorphisms.

Principles are central to physical reasoning, particularly in the search for a theory of quantum gravity, where novel empirical data are lacking. One principle widely adopted in the search for QG is ultraviolet completion: the idea that a theory should hold up to all possible high energies. We argue— contra standard scientific practice—that UV-completion is poorly motivated as a guiding principle in theory-construction, and cannot be used as a criterion of theory-justification in the search for QG. For this, we explore (...) the reasons for expecting, or desiring, a UV-complete theory, as well as analyse how UV-completion is used, and how it should be used, in various specific approaches to QG. 1Introduction 1.1Principles in theory development and evaluation 2Primer on UV-Completion, Renormalizability, and All That 2.1Renormalizability and UV-completion 2.2Other forms of UV-completion 3Why Should QG Be UV-Complete? 3.1UV-completion and fundamentality 3.2UV-completion and minimal length 4UV-Completion in Different Approaches to QG 4.1String theory 4.2Asymptotic safety 4.3Causal dynamical triangulation 4.4Higher derivative approaches 4.5Supergravity 4.6Causal set theory 4.7Canonical QG 4.8Loop quantum gravity 4.9Approaches based on alternative gravitational theories 4.10Emergent gravity approaches 5UV-Completion as a Guiding Principle in QG 6Conclusion. (shrink)

Weight systems on chord diagrams play a central role in knot theory and Chern-Simons theory; and more recently in stringy quantum gravity. We highlight that the noncommutative algebra of horizontal chord diagrams is canonically a star-algebra, and ask which weight systems are positive with respect to this structure; hence we ask: Which weight systems are quantum states, if horizontal chord diagrams are quantum observables? We observe that the fundamental gl(n)-weight systems on horizontal chord diagrams with N strands may be (...) identified with the Cayley distance kernel at inverse temperature beta=ln(n) on the symmetric group on N elements. In contrast to related kernels like the Mallows kernel, the positivity of the Cayley distance kernel had remained open. We characterize its phases of indefinite, semi-definite and definite positivity, in dependence of the inverse temperature beta; and we prove that the Cayley distance kernel is positive (semi-)definite at beta=ln(n) for all n=1,2,3,... In particular, this proves that all fundamental gl(n)-weight systems are quantum states, and hence so are all their convex combinations. We close with briefly recalling how, under our "Hypothesis H", this result impacts on the identification of bound states of multiple M5-branes. (shrink)

Research on small groups is highly diverse because investigators who study such groups vary in their disciplinary identifications, theoretical interests, and methodological preferences. The goal of this volume is to capture that diversity, and thereby convey the breadth and excitement of small group research by acquainting students with work on five fundamental aspects of groups. The volume also includes an introductory chapter by the editors which provides an overview of the history of and current state-of-the-art in the field. (...) Together with introductions to each section, discussion questions and suggestions for further reading, make the volume ideal reading for senior undergraduate and graduate students interested in group dynamics. (shrink)

An essential aspect of forming representations of social groups is to recognize socially relevant attributes licensed by the group membership. Because knowledge of cultural practices tends to be transmitted through social contact within social groups, it is one of the fundamental attributes shared among members of a social group. Two experiments explored whether 5‐ and 6‐year‐olds selectively attribute shared cultural knowledge on the basis of group membership of agents. Using novel social groups, children were introduced to (...) one target agent and two other agents, one of which belonged to the same group as the target and one belonged to a different group. Children were then asked who would know or like same things as the target agent. The results showed that children expect group members to know the same songs, whereas they do not necessarily expect them to like the same songs or know the same generic facts. These findings suggest that children are remarkably selective in the attributions they make based on social group membership and from early on, they expect social group membership and cultural knowledge to be closely linked. (shrink)

Background: The conditions of the emergency create an unprecedented, but legitimate approach, when the rights and freedoms of the individual can be limited in the public interest. From the first days of the pandemic, a special social group of the population began to stand out, with the code name "65+". Aim: to give an ethical assessment of the attitude of society to the population group "65+", to show the contradiction between medical and bioethical approaches to the criteria for (...) selecting a group. Materials and methods: The review of fundamental and modern works in the problem field was carried out. The empirical basis of the work was the materials of a sociological survey using Google forms. Results: According to the analysis of statistical indicators of employment in the Russia before the pandemic, the share of employees aged 60–64 years was 32,4 %, in the range of 65–69 years – 13,7% of the size of the age group, which indicates the high social activity of the 65+ group and demonstrates the labor potential of the group. At the same time, anti-epidemic measures related to restrictions on labor and social activity primarily affected this group, which led to stigmatization based on the age criterion. The long-term confrontation with the pandemic has weakened the psychological tactics of treating older patients that have not been fully developed in the national health care, based on the ethics of care. A survey of medical students conducted in March 2021 showed that the majority of respondents viewed restrictions as unacceptable discrimination. Conclusion: The review of updated research and the analysis of the current situation have shown that the phenomenon of the aging of the nation and the vulnerability of the older age group of the population to a new coronavirus infection have led to a contradiction in approaches to the considered age group from the standpoint of medicine and bioethics. The inherently humane measure of protection for a group that is especially vulnerable in terms of medical indicators began to be perceived by the society as a reason for stigmatization. The solution to the dilemma is possible in the context of the convergence of medical and human sciences in the interdisciplinary problem field of gerontology and geriatrics. (shrink)

A fundamental characteristic of human visual perception is the ability to group together disparate elements in a scene and treat them as a single unit. The mechanisms by which humans create such groupings remain unknown, but grouping seems to play an important role in a wide variety of visual phenomena, and a good understanding of these mechanisms might provide guidance for how to improve machine vision algorithms. Here, we build on a proposal that some groupings are the result (...) of connections in cortical area V2 that join disparate elements, thereby allowing them to be selected and segmented together. In previous instantiations of this proposal, connection formation was based on the anatomy (e.g., extent) of receptive fields, which made connection formation obligatory when the stimulus conditions stimulate the corresponding receptive fields. We now propose dynamic circuits that provide greater flexibility in the formation of connections and that allow for top-down control of perceptual grouping. With computer simulations we explain how the circuits work and show how they can account for a wide variety of Gestalt principles of perceptual grouping, texture segmentation tasks, amodal illusory contours, and ratings of perceived groupings. We propose that human observers use such top-down control to implement task-dependent connection strategies that encourage particular groupings of stimulus elements in order to promote performance on various visual tasks. (shrink)

Let M be an o-minimal expansion of a real closed field. Let G be a definably compact definably connected abelian n-dimensional group definable in M. We show the following: the o-minimal fundamental group of G is isomorphic to ℤn; for each k>0, the k-torsion subgroup of G is isomorphic to n, and the o-minimal cohomology algebra over ℚ of G is isomorphic to the exterior algebra over ℚ with n generators of degree one.

The debate on the epistemology of disagreement has so far focused almost exclusively on cases of disagreement between individual persons. Yet, many social epistemologists agree that at least certain kinds of groups are equally capable of having beliefs that are open to epistemic evaluation. If so, we should expect a comprehensive epistemology of disagreement to accommodate cases of disagreement between group agents, such as juries, governments, companies, and the like. However, this raises a number of fundamental questions concerning (...) what it means for groups to be epistemic peers and to disagree with each other. In this paper, we explore what group peer disagreement amounts to given that we think of group belief in terms of List and Pettit’s ‘belief aggregation model’. We then discuss how the so-called ‘equal weight view’ of peer disagreement is best accommodated within this framework. The account that seems most promising to us says, roughly, that the parties to a group peer disagreement should adopt the belief that results from applying the most suitable belief aggregation function for the combined group on all members of the combined group. To motivate this view, we test it against various intuitive cases, derive some of its notable implications, and discuss how it relates to the equal weight view of individual peer disagreement. (shrink)

Profinite groups are Galois groups. The effective study of infinite Galois groups was initiated by Metakides and Nerode [8] and further developed by LaRoche [5]. In this paper we study profinite groups without considering Galois extensions of fields. The Artin method of representing a finite group as a Galois group has been generalized by Waterhouse [14] to profinite groups. Thus, there is no loss of relevance in our approach.The fundamental notions of a co-r.e. profinite group, recursively (...) profinite group, and the degree of a co-r.e. profinite group are defined in §1. In this section we prove that every co-r.e. profinite group can be effectively represented as an inverse limit of finite groups. The degree invariant is shown to behave very well with respect to open subgroups and quotients. The work done in this section is basic to the rest of the paper.The commutator subgroup, the Frattini subgroup, thep-Sylow subgroups, and the center of a profinite group are essential in the study of profinite groups. It is only natural to ask if these subgroups are effective. The following question exemplifies our approach to this problem: Is the center a co-r.e. profinite group? Theorem 2 provides a general method for answering this type of question negatively. Examples 3,4 and 5 are all applications of this theorem. (shrink)

We analyze model-theoretic connected components in extensions of a given group by abelian groups which are defined by means of 2-cocycles with finite image. We characterize, in terms of these 2-cocycles, when the smallest type-definable subgroup of the corresponding extension differs from the smallest invariant subgroup. In some situations, we also describe the quotient of these two connected components. Using our general results about extensions of groups together with Matsumoto–Moore theory or various quasi-characters considered in bounded cohomology, we obtain (...) new classes of examples of groups whose smallest type-definable subgroup of bounded index differs from the smallest invariant subgroup of bounded index. This includes the first known example of a group with this property found by Conversano and Pillay, namely the universal cover of [Formula: see text], as well as various examples of different nature, e.g. some central extensions of free groups or of fundamental groups of closed orientable surfaces. As a corollary, we get that both non-abelian free groups and fundamental groups of closed orientable surfaces of genus [Formula: see text], expanded by predicates for all subsets, have this property, too. We also obtain a variant of the example of Conversano and Pillay for [Formula: see text] instead of [Formula: see text], which was not accessible by the previously known methods. (shrink)

The text focuses on a revision of the narrative about and status of Ethnic Groups and Boundaries (1969), touted as a ground-breaking publication which heralded a historic turning point in the study of ethnicity. In the first part, the author demonstrates that the understanding of ethnic groups, as presented in this work, was in no way original in its time; rather, it exemplified an already well-established and generally accepted theoretical model. In the second part, the author provides an alternative explanation (...) for the fame and success of this text. He reveals that the central concept of the book – the bounded (ethnic) group – resonates very well with the mental module of “groupism” – part of the human cognitive apparatus. The generally favourable reception of Ethnic Groups and Boundaries is therefore not rooted in its novelty but rather in that it explicitly formulated a fundamental component of the human cognitive apparatus. (shrink)

Despite the close connection between the central limit theorem and renormalization group (RG) methods, the latter should be considered fundamentally distinct from the kind of probabilistic framework associated with statistical mechanics, especially the notion of averaging. The mathematics of RG is grounded in dynamical systems theory rather than probability, which raises important issues with respect to the way RG generates explanations of physical phenomena. I explore these differences and show why RG methods should be considered not just calculational tools (...) but the basis for a physical understanding of complex systems in terms of structural properties and relations. (shrink)

We study relativized Lascar groups, which are formed by relativizing Lascar groups to the solution set of a partial type $$\Sigma $$. We introduce the notion of a Lascar tuple for $$\Sigma $$ and by considering the space of types over a Lascar tuple for $$\Sigma $$, the topology for a relativized Lascar group is (re-)defined and some fundamental facts about the Galois groups of first-order theories are generalized to the relativized context. In particular, we prove that any (...) closed subgroup of a relativized Lascar group corresponds to a stabilizer of a bounded hyperimaginary having at least one representative in the solution set of the given partial type $$\Sigma $$. Using this, we find the correspondence between subgroups of the relativized Lascar group and the relativized strong types. (shrink)

We show that the Lascar group $\operatorname {Gal}_L$ of a first-order theory T is naturally isomorphic to the fundamental group $\pi _1|)$ of the classifying space of the category of models of T and elementary embeddings. We use this identification to compute the Lascar groups of several example theories via homotopy-theoretic methods, and in fact completely characterize the homotopy type of $|\mathrm {Mod}|$ for these theories T. It turns out that in each of these cases, $|\operatorname {Mod}|$ (...) is aspherical, i.e., its higher homotopy groups vanish. This raises the question of which homotopy types are of the form $|\mathrm {Mod}|$ in general. As a preliminary step towards answering this question, we show that every homotopy type is of the form $|\mathcal {C}|$ where $\mathcal {C}$ is an Abstract Elementary Class with amalgamation for $\kappa $ -small objects, where $\kappa $ may be taken arbitrarily large. This result is improved in another paper. (shrink)

The fundamental question in reverse mathematics is to determine which set existence axioms are required to prove particular theorems of mathematics. In addition to being interesting in their own right, answers to this question have consequences in both effective mathematics and the foundations of mathematics. Before discussing these consequences, we need to be more specific about the motivating question.Reverse mathematics is useful for studying theorems of either countable or essentially countable mathematics. Essentially countable mathematics is a vague term that (...) is best explained by an example. Complete separable metric spaces are essentially countable because, although the spaces may be uncountable, they can be understood in terms of a countable basis. Simpson gives the following list of areas which can be analyzed by reverse mathematics: number theory, geometry, calculus, differential equations, real and complex analysis, combinatorics, countable algebra, separable Banach spaces, computability theory, and the topology of complete separable metric spaces. Reverse mathematics is less suited to theorems of abstract functional analysis, abstract set theory, universal algebra, or general topology.Section 2 introduces the major subsystems of second order arithmetic used in reverse mathematics: RCA0, WKL0, ACA0, ATR0 and – CA0. Sections 3 through 7 consider various theorems of ordered group theory from the perspective of reverse mathematics. Among the results considered are theorems on ordered quotient groups, groups and semigroup conditions which imply orderability, the orderability of free groups, Hölder's Theorem, Mal'tsev's classification of the order types of countable ordered groups. (shrink)

Symmetry is at the heart of our understanding of matter. This book tells the fascinating story of the constituents of matter from a common symmetry perspective. The standard model of elementary particles and the periodic table of chemical elements have the common goal to bring order in the bewildering chaos of the constituents of matter. Their success relies on the presence of fundamental symmetries in their core. -/- The purpose of Shattered Symmetry is to share the admiration for the (...) power and the beauty of these symmetries. The reader is taken on a journey from the basic geometric symmetry group of a circle to the sublime dynamic symmetries that govern the motions of the particles. Along the way the theory of symmetry groups is gradually introduced with special emphasis on its use as a classification tool and its graphical representations. This is applied to the unitary symmetry of the eightfold way of quarks, and to the four-dimensional symmetry of the hydrogen atom. The final challenge is to open up the structure of Mendeleev's table which goes beyond the symmetry of the hydrogen atom. Breaking this symmetry to accommodate the multi-electron atoms requires us to leave the common ground of linear algebras and explore the potential of non-linearity. (shrink)

ABSTRACTSkepticism about citizen competence is a core component of Christopher H. Achen and Larry M. Bartels’s call, in Democracy for Realists, for rethinking our model of democracy. In this paper I suggest that the evidence for citizen incompetence is not as clear as we might think; important research shows that we are good group problem solvers even if we are poor solitary truth seekers. I argue that deliberative democracy theory has a better handle on this fundamental fact of (...) human cognition and therefore has a more realistic view of the conditions that might improve citizen competence. (shrink)

In these notes I want to address some issues concerning self-organization that seem to me to apply generally from the micro-physical through the biological and social to the cosmological. That is, they are a part of the general theory of self-organization. I prefer to distinguish the theory of selforganization from the analysis of the concept of self-organization (which Maturana claims is oxymoronic, since there is no self that organizes1). General usage gives us something to which the term 'self-organization' refers. We (...) can set aside the question of whether or not selves can really do such a thing until we know what it is they are supposed to do.2 This approach also allows the possibility that self-organization does not pick out a single natural kind, but may refer to a range of things that are grouped together by a Wittgenstein style “family resemblance”. (shrink)

Evolutionary psychology often does not sufficiently document the innate constraint and domain specificity required for strong adaptationist argument. We develop these criteria within the domain of music. First, we advocate combining computational, developmental, cross-cultural, and neuroscience research to address the ways in which a domain is innately constrained. Candidate constraints in music include the importance of the octave and other simple pitch ratios, the categorization of the octave into tones, the importance of melodic contour, tonal hierarchies, and principles of grouping (...) and meter. Second, we advocate combining psychological, neuroscience, and genetic research across cognitive domains to address the domain specificity of such constraints. Currently available evidence suggests that the innate constraints in music are not specific to that domain, making it unclear which domain(s) provided the relevant selection pressures. (shrink)

In both biology and the human sciences, social groups are sometimes treated as adaptive units whose organization cannot be reduced to individual interactions. This group-level view is opposed by a more individualistic one that treats social organization as a byproduct of self-interest. According to biologists, group-level adaptations can evolve only by a process of natural selection at the group level. Most biologists rejected group selection as an important evolutionary force during the 1960s and 1970s but a (...) positive literature began to grow during the 1970s and is rapidly expanding today. We review this recent literature and its implications for human evolutionary biology. We show that the rejection of group selection was based on a misplaced emphasis on genes as "replicators" which is in fact irrelevant to the question of whether groups can be like individuals in their functional organization. The fundamental question is whether social groups and other higher-level entities can be "vehicles" of selection. When this elementary fact is recognized, group selection emerges as an important force in nature and what seem to be competing theories, such as kin selection and reciprocity, reappear as special cases of group selection. The result is a unified theory of natural selection that operates on a nested hierarchy of units. The vehicle-based theory makes it clear that group selection is an important force to consider in human evolution. Humans can facultatively span the full range from self-interested individuals to "organs" of group-level "organisms." Human behavior not only reflects the balance between levels of selection but it can also alter the balance through the construction of social structures that have the effect of reducing fitness differences within groups, concentrating natural selection (and functional organization) at the group level. These social structures and the cognitive abilities that produce them allow group selection to be important even among large groups of unrelated individuals. (shrink)

Gellner relied extensively on the work of Ibn Khaldun to understand both the dynamics of social order in North Africa and Islam’s alleged resistance to secularization. However, what the two scholars also shared is their focus on the social origins and functions of group solidarity. For Ibn Khaldun the concept of asabiyyah was central in understanding the strength of long-term group loyalties. In his view, asabiyyah was a fundamental and elementary cohesive bond of human societies which originated (...) in nomadic tribal structures and retained significance in the early formation of complex states and empires. For Gellner, the shape and character of group solidarity is heavily dependent on the economic foundations of a particular social order: foragers require small group bonds for mere survival, the agrarian universe stratifies solidarity and utilizes cultural bonds to differentiate between the ruling aristocrats and the plough-tied serfs, whereas the industrial world generates solidarity from incessant economic growth and state-induced, cross-class, national identifications. Thus, for Gellner, solidarity remains the central force that keeps social orders together. This paper provides a critical analysis of the Khaldunian and Gellnerian models of group solidarity and offers an alternative interpretation that places the social impact of micro-solidarity in the long-term development of ideological and coercive forms of social organization. (shrink)

We study and develop a notion of isogeny for superstable groups inspired by the notion in algebraic groups and differential algebraic notions developed by Cassidy and Singer. We prove several fundamental properties of the notion. Then we use it to formulate and prove a uniqueness results for a decomposition theorem about superstable groups similar to one proved by Baudisch. Connections to existing model theoretic notions and existing differential algebraic notions are explained.

This paper focuses on what could be learned about statuses and status groups from the work of Randall Collins in the 1980s, and in particular from Weberian Sociological Theory (1986). I mention how I myself found this book useful at that time to further my own work in the sociology of science and in sociological theory, and emphasise its value in appreciating the fundamental and irremediable deficiencies of individualistic rational choice theory in both contexts. I go on to note (...) how Collins, a ‘macro’ sociologist in the 1980s, was nonetheless well aware of the indispensable role of micro-sociology in advancing the fundamental understanding of the field as a whole, and his singling out of Erving Goffman and Harold Garfinkel as primus inter pares for their special theoretical importance at this time. I say a little about why these two did indeed have much to contribute to an understanding of statuses and of status groups and still do even today, and end by noting how effectively Collins has used and built upon the work of Goffman in particular since the 1980s. (shrink)

With the present paper I maintain that the group field theory (GFT) approach to quantum gravity can help us clarify and distinguish the problems of spacetime emergence from the questions about the nature of the quanta of space. I will show that the mechanism of phase transition suggests a form of indifference between scales (or phases) and that such an indifference allows us to black-box questions about the nature of the ontology of the fundamental levels of the theory. (...) I consider the GFT approach to quantum gravity which derives spacetime as an emergent property from abstract non-geometrical tetrahedra through a processes of phase transition. Because the physical interpretation of the tetrahedra is problematic in view of their (non)-spatiotemporal nature, I will apply the considerations about phase transitions to GFT and conclude that the fundamental ontology of the theory and the mechanism of spacetime emergence can and should be treated separately. (shrink)

Van de Vliert's findings may be explained by the psychology of threat and bargaining. Poor people facing extreme threats must cope by surrendering individual freedom in service of shared group needs. Wealthier people are more able to flee from threats and/or resist authoritarianism, so their leaders must concede greater freedom. Incorporating these factors (plus inequality) can sharpen researchers' predictions.

Over the last 140 years, the Tata Group has been a pioneer not only in corporate India, but has been a leader of sorts in the social sphere also. It has contributed substantially to nation building. Among other initiatives for social development and welfare, it has established eminent institutions, such as, the Indian Institute of Science (IISc), the Tata Institute of Fundamental Research (TIFR) and the Tata Institute of Social Sciences (TISS). This article studies the structure of the (...) Tata Group and its main Trusts which facilitate the unique philosophy of the Group that integrates social responsibility and corporate functioning. Over two-thirds of the Tata companies are held by the Trusts, and these Trusts are focussed on social welfare initiatives. This is a unique example in the corporate world deserving a detailed study. This article details some innovative initiatives undertaken by the Tata companies in their respective industries for the society and local community. The study is based on triangulation of data and follows the descriptive research design and the anecdotal style of narration. The data collection has been done by the author through personal interviews with top executives of the Group companies, responses to an Executive Perception Survey on the society and local community, and secondary data gathered through the information available in the public domain. (shrink)

Molecules have more or less symmetric and complex structures which can be defined in the mathematical framework of topology, group theory, dynamical systems theory, and quantum mechanics. But symmetry and complexity are by no means only theoretical concepts of research. Modern computer aided visualizations show real forms of matter which nevertheless depend on the technical standards of observation, computation, and representation. Furthermore, symmetry and complexity are fundamental interdisciplinary concepts of research inspiring the natural sciences since the antiquity.

Using as a starting point recent and apparently incompatible conclusions by Saunders and Knox, I revisit the question of the correct spacetime setting for Newtonian physics. I argue that understood correctly, these two versions of Newtonian physics make the same claims both about the background geometry required to define the theory, and about the inertial structure of the theory. In doing so I illustrate and explore in detail the view—espoused by Knox, and also by Brown —that inertial structure is defined (...) by the dynamics governing subsystems of a larger system. This clarifies some interesting features of Newtonian physics, notably the distinction between using the theory to model subsystems of a larger whole and using it to model complete universes, and the scale-relativity of spacetime structure. _1_ Introduction _2_ Newtonian Mechanics and Galilean Spacetime _3_ Vector Relationism and Maxwellian Spacetime _4_ Recovering the Galilei Group: Dynamics of Subsystems _5_ Knox on Inertial Structure _6_ Connections on Maxwellian Spacetime _7_ Knox on Newtonian Gravity _8_ Vector Relationism and Newton–Cartan Theory _9_ Inertial Structure in Newton–Cartan Gravity _10_ Reconciling Knox and Saunders _11_ Conclusions. (shrink)

In a recent paper Barnes proposes to characterize ontological emergence by identifying the emergent entities with those entities which are both fundamental and dependent. Barnes offers characterizations of the notions of fundamentality and dependence, but is cautious about committing to the specifics of these notions. This paper argues that Barnes’s characterization of emergence is problematic in several ways. Firstly, emergence is a relation, and merely delimiting relata of this relation tells us little about it. Secondly, the group of (...) entities delimited as dependent and fundamental do not appear to be the group of emergent entities. Rather, some entities appear to be dependent and fundamental and not emergent, whilst other entities appear to be emergent and not dependent and fundamental. The moral drawn is that in order to provide a characterization of emergence one must go beyond what Barnes says explicitly. It is also shown that a potentially fruitful way of doing this would be to further specify the notion of dependence at issue revealing it to be asymmetric and perhaps merely nomological. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:BOOK REVIEWS I05 1120a): these and much else form models of the meticulousness and also the daring with which such discussions should be conducted. THOMAS G. ROSENMEYER University of Washington Religious Philosophy, A Group ol Essays.By Harry Austryn Wolfson. (Cambridge : Harvard University Press, 1961. Pp. xii + 278. $6.00.) For those who have never dared to take the plunge into one of Professor Wolfson's massive studies--the two-volume (...) sets on Philo and Spinoza, for instance, or the first part of The Philosophy of the Church Fathers--these ten essays offer a series of brief but enlightening introductory paddles. The eleventh piece, a concluding Sermonette, is neither enlightening nor a happy introduction to a rigorous mind. The essays, ranging over a considerable number of Jewish, Christian, Muslim, and secular thinkers, are entitled as follows: "The Philonic God of Revelation and His Latter-day Deniers"; "Extradeical and Intradeical Interpretations of Platonic Ideas"; "Immortality and Resurrection in the Philosophy of the Church Fathers"; "Philosophical Implications of the Theology of Cyril of Jerusalem"; "Philosophical Implications of Arianism and Apollinarianism"; "Saint Augustine and the Pelagian Controversy"; "Ibn Khaldun on Attributes and Predestination "; "Causality and Freedom in Descartes, Leibniz, and Hume"; "The Veracity of Scripture from Philo to Spinoza"; "Spinoza and the Religion of the Past." Despite this wide variety of topics, the book is held together, Wolfson assures us, by a "common theme" (p. v). To accept this theme is, in effect, to look at the history of Western religious philosophy from New Testament times to Spinoza's in a very special way. Picking up three histories of philosophy at random, I find that Bertrand Russell's History of Western Philosophy mentions the Jewish philosopher Philo of Alexandria (20? mC.--A.D. 54?) on two pages; B. A. G. Fuller's History of Philosophy devotes about three and a half pages to Philo but concludes that "Philo seems to have had no disciples of note and no direct influence, at any rate, upon the century and a half that intervenes between his death and the birth of Plotinus" (p. 305); W. T. Jones in his History of Western Philosophy (Vol. I) rates Philo's worth at just over a page and a caustic footnote. If, however, we look at religious philosophy in Wolfson's way, we see Philo as the root and determining origin of all medieval philosophizing, Jewish, Christian and Muslim ; we further see the medieval philosophy begun by Philo as a homogeneous system of thought, lying between pagan Greek speculations and the secular systems of the seventeenth century. Wolfson writes: 106 HISTORY OF PHILOSOPHY Ostensibly Philo is only the interpreter of the Hebrew Scriptures in terms of Greek philosophy. But actually he is more than that. He is the interpreter of Greek philosophy in terms of certain fundamental teachings of his Hebrew Scripture, whereby he revolutionised philosophy and remade it into what became the common philosophy of the three religions with cognate Scriptures, Judaism, Christianity, and Islam (p. v). In all the essays the topics are taken partly as Philonic in origin; it is Wolfson's aim to make the quarrels of medieval and later thinkers more intelligible in the light of their positions' intellectual ancestry. The result of his approach is a series of amazingly dexterous historical investigations; the reader moves with quite unexpected ease through intricate thirty-page discussions, each carrying some hundred or so footnotes of far-flung references to Plato, Aristotle, Scripture, Jewish and Arabic commentators, Patristic hagglers, Spinoza, Hume, Mill, et alii. The burden of erudition is wielded with simplicity and grace. Where there are historical obscurities and misunderstandings to be cleared up, one reads Wolfson with gratitude and enjoyment. Perhaps I can best fulfill my role as reviewer by summarizing part of his sixth and most exciting chapter, that on the controversy of Pelagius and Augustine over human freedom. Here Wolfson sets out to reverse history's verdict: to show Pelagius' account of freedom as keeping to "the original Christian belief"; to show Augustine's views as heretical by the measure of previous Christian tradition. He begins with much-documented observations that Greek pagan philosophy establishes a tension in man between the powers of... (shrink)

The Oxford Monographs On Criminal Law And Justice series aims to cover all aspects of criminal law and procedure including criminal evidence. the scope of the series is wide, encompassing both practical and theoretical works. Series Editor: Professor Andrew Ashworth, Vinerian Professor of English Law, All Souls College, Oxford. This volume is a thematic collection of essays on sentencing theory by leading writers. The essays fall into three groups. Part I considers the underlying justifications for the imposition of punishment by (...) the State, and examines the relationship between victims, offenders and the State. Part II addresses a number of areas of sentencing policy that have given rise to particular difficulty, such as the sentencing of drug offenders, the rationale for discounting sentences for multiple offenders, the existence of special sentencing for young offenders, and cases where the injury done to the victim is of a different magnitude from what might have been expected. Part III raises various questions about the unequal impact on offenders of different sentencing measures, and examines the extent to which sentences should be adjusted to take account of these different impacts and of broader social inequalities. This volume is dedicated to Professor Andrew von Hirsch, whose continuing work on sentencing theory provided the stimulus for the collection. (shrink)

Are the characteristics and relationships among spatio-temporal entities "real" or are they simply conventional terms that note similarities among things in the world but lack any reality of their own? Or if they are real, what sort of reality do they have? Do we live in a world of causes and effects, or is this relation a useful contrivance for our convenience? What is the nature of this "I" that we invoke when referring to ourselves? Is it body? Mind? Both? (...) Neither? And once its nature is understood, what can be said of the choices it makes? Are they really ours, freely made by an independent will? Or is each choice determined more by the internal makeup of the "I" we happen to be and the social/environmental circumstances in which this "I" finds itself, rather than by any act of will? But if each of us "could not have chosen otherwise" than we have, are we no better than the machines we construct? Then again, maybe some of our more advanced machines should be considered conscious entities? Introduction to Metaphysics: The Fundamental Questions presents these and other intriguing questions, many of which have challenged philosophers from antiquity to the present in their efforts to speculate on the nature of what is real. Often filled with twists and turns, dark corners and hidden recesses, this journey of discovery is an exciting excursion into the depths of human understanding. As guides for this intellectual journey editor Andrew Schoedinger has chosen an impressive array of creative and thought-provoking philosophers: Peter Abelard, Aristotle, Renford Bambrough, George Berkeley, Joseph Butler, Rudolf Carnap, Roderick Chisholm, R.G. Collingwood, Arthur Danto, Donald Davidson, Rene Descartes, C.J. Ducasse, Alvin I. Goldman, Keith Gunderson, David Hume, John Locke, Alasdair MacIntyre, A.I. Melden, John Stuart Mill, D.F. Pears, Hilary Putnam, Anthony Quinton, Bertrand Russell, Michael Scriven, Sydney Shoemaker, P. F. Strawson, Richard Taylor, and others. This volume is a unique invitation to join a distinguished group of theorists as they tackle tough questions concerning the existence of universals, the nature of causation, understanding personal identity, the tangled web of free will, and the challenges posed by the advent of artificial intelligence. (shrink)