A Turing degreedis the degree of categoricity of a computable structure${\cal S}$ifdis the least degree capable of computing isomorphisms among arbitrary computable copies of${\cal S}$. A degreedis the strong degree of categoricity of${\cal S}$ifdis the degree of categoricity of${\cal S}$, and there are computable copies${\cal A}$and${\cal B}$of${\cal S}$such that every isomorphism from${\cal A}$onto${\cal B}$computesd. In this paper, we build a c.e. degreedand a computable rigid structure${\cal M}$such thatdis the degree of categoricity of${\cal M}$, butdis not the strong degree of categoricity (...) of${\cal M}$. This solves the open problem of Fokina, Kalimullin, and Miller [13].For a computable structure${\cal S}$, we introduce the notion of the spectral dimension of${\cal S}$, which gives a quantitative characteristic of the degree of categoricity of${\cal S}$. We prove that for a nonzero natural numberN, there is a computable rigid structure${\cal M}$such that$0\prime$is the degree of categoricity of${\cal M}$, and the spectral dimension of${\cal M}$is equal toN. (shrink)

Cholak, Goncharov, Khoussainov, and Shore [1] showed that for each k > 0 there is a computably categorical structure whose expansion by a constant has computable dimension k. We show that the same is true with k replaced by ω. Our proof uses a version of Goncharov's method of left and right operations.

This paper largely engages with Brian Ellis’s description of categorical dimensions as put forward in his paper in this volume. The New Essentialism advocated by Ellis posits the ontologically-robust existence of both dispositional and categorical properties. I have argued that the distinction that Ellis draws between the two is unpersuasive, and that the causal role of categorical dimensions—what they do—is inseparable from what they are. This observation is reinforced by the fact that absolute physical quantities (...) permit re-interpretations of measurement that remove a clear differentiation between categoricity and dispositionality. Distinguishing between ‘pure power’ and ‘dispositionality’, I further argue that: i) there are no ontologically-robust categorical properties, although their apparent existence is explicable as higher-order and supervenient; ii) that the fundamental ingredients of the world may be accounted for in terms of pure-power that is neither categorical nor dispositional; and iii) that the categorical-dispositional distinction arises only at the higher-order level of objects, and does not in any case constitute ontologically-robust partitioning of reality. -/- . (shrink)

We investigate effective categoricity for polymodal algebras. We prove that the class of polymodal algebras is complete with respect to degree spectra of nontrivial structures, effective dimensions, expansion by constants, and degree spectra of relations. In particular, this implies that every categoricity spectrum is the categoricity spectrum of a polymodal algebra.

We characterize the structure of computably categorical trees of finite height, and prove that our criterion is both necessary and sufficient. Intuitively, the characterization is easiest to express in terms of isomorphisms of (possibly infinite) trees, but in fact it is equivalent to a Σ03-condition. We show that all trees which are not computably categorical have computable dimension ω. Finally, we prove that for every n≥ 1 in ω, there exists a computable tree of finite height which is (...) δ0n+1-categorical but not δ0n-categorical. (shrink)

In this paper we prove three theorems about first-order theories that are categorical in a higher power. The first theorem asserts that such a theory either is totally categorical or there exist prime and minimal models over arbitrary base sets. The second theorem shows that such theories have a natural notion of dimension that determines the models of the theory up to isomorphism. From this we conclude that $I(T, \aleph_\alpha) = \aleph_0 +|\alpha|$ where ℵ α = the number (...) of formulas modulo T-equivalence provided that T is not totally categorical. The third theorem gives a new characterization of these theories. (shrink)

Communications and categorizations mark the temporality of the possible sequences of network states, and each event thus produced modifies the space of the network by provoking in individual actors various types of learning that present an extensive and intensive dimension. This chapter examines in detail these types of learning and the mobilizations of the network space involved. Like inter‐individual communication, categorization potentially impacts both dimensions of learning. The chapter first discusses learning from inter‐individual communication, and shows that it is (...) synonymous with bringing innovation in a weak sense to the network. It then discusses learning related to categorization, which we will see is likely to introduce novelty in a strong sense within the network. The increasing efficiency of the individual learning process would thus be tempered by the global cognitive network's degree of redundancy. (shrink)

In the past two decades or so, a number of researchers from various fields within linguistics have turned their attention to interpersonal phenomena, such as the linguistic expression of speaker opinion or evaluation , or the encoding of subjectivity in language and its diachronic development . Many linguists have offered categorizations of evaluative meaning, based on authentic discourse data, but no connection has been made with cognitive approaches to appraisal processes. This paper offers a first meta-theoretical exploration of such issues. (...) It compares dimensions of evaluation that have been identified in linguistic and cognitive studies, and also examines how psychological research into basic emotions can be related to linguistic research on affect. On the basis of these comparisons a proposal for a new classification of evaluative meanings is made. The focus of this paper is on only one aspect of the highly complex phenomenon of evaluation, namely potential evaluative dimensions, although other relevant issues will also be touched upon, including the pragmatics of evaluation. (shrink)

The article defends three claims regarding the relation between the different formulas of the categorical imperative. On its prevailing reading, FUL gives different moral guidance than FH; left answered, this problem is an argument for adopting a competing perspective on FUL. The prohibitions and commands of the formulas should be taken to be extensionally the same; but FKE adds a dimension missing from the others, gained by uniting their perspectives, namely, bringing the variety of moral laws into systematic unity. (...) The grammatically ambiguous phrase inGMS, 4: 436.9–10 claims that FA alone unites the other formulas in itself. (shrink)

This paper argues that the normative dimension in mental and semantic content is not a categorical feature of content, but an hypothetical one, relative to the features of the interpretation of thoughts and meaning. The views of Robert Brandom are discussed. The thesis defended in this paper is not interpretationist about thought. It implies that the normative dimension of content arises from the real capacity of thinkers and speakers to self ascribe thoughts to themselves and to reach self knowledge (...) of their own thoughts. (shrink)

Whenever a structure with a particularly interesting computability-theoretic property is found, it is natural to ask whether similar examples can be found within well-known classes of algebraic structures, such as groups, rings, lattices, and so forth. One way to give positive answers to this question is to adapt the original proof to the new setting. However, this can be an unnecessary duplication of effort, and lacks generality. Another method is to code the original structure into a structure in the given (...) class in a way that is effective enough to preserve the property in which we are interested. In this paper, we show how to transfer a number of computability-theoretic properties from directed graphs to structures in the following classes: symmetric, irreflexive graphs; partial orderings; lattices; rings ; integral domains of arbitrary characteristic; commutative semigroups; and 2-step nilpotent groups. This allows us to show that several theorems about degree spectra of relations on computable structures, nonpreservation of computable categoricity, and degree spectra of structures remain true when we restrict our attention to structures in any of the classes on this list. The codings we present are general enough to be viewed as establishing that the theories mentioned above are computably complete in the sense that, for a wide range of computability-theoretic nonstructure type properties, if there are any examples of structures with such properties then there are such examples that are models of each of these theories. (shrink)

We prove that no computable tree of infinite height is computably categorical, and indeed that all such trees have computable dimension ω. Moreover, this dimension is effectively ω, in the sense that given any effective listing of computable presentations of the same tree, we can effectively find another computable presentation of it which is not computably isomorphic to any of the presentations on the list.

The purpose of the article is the analysis of the causes of the systemic crisis that hit modern civilization through the description of its main structures, identifying the relationship between its elements, assessments of their heuristic potential. This will open up opportunities for finding ways to resolve this crisis, new directions of civilizational development. Theoretical basis of the research are the systems analysis, socio-philosophical and philosophical-anthropological approaches as well as the analysis of scientific developments in the field of global studies. (...) Originality lies in the fact that this article is the first to show the connection between the main structural elements of human civilization as a system. Change in one of the parameters leads to a change in all the others, together with a change in civilization as a whole. Conclusions. The reason for the deep crisis that hit modern civilization is its imbalance as a system. The most important elements of this system are population size, resources and technology, and the core is consciousness in its individual and collective forms. The perception, processing, and use of information, which is a defining civilizational resource, as well as the stability of the entire system depend on the state of consciousness. Consciousness, based on old, obsolete principles and stereotypes, is unable to cope with the most acute challenges of time. New consciousness, since it is formed, will mark the transition to a new theoretical picture of the world and a model of human behavior, in which people will act, driven by proven knowledge, and not willfulness and prejudice. The idea of forming a productive information environment where the ideas of constructiveness and creative work will dominate rather than consumerism and destruction, as is the case at present, must become the categorical imperative of the new consciousness. (shrink)

Using new techniques for controlling the categoricity spectrum of a structure, we construct a structure with degree of categoricity but infinite spectral dimension, answering a question of Bazhenov, Kalimullin and Yamaleev. Using the same techniques, we construct a computably categorical structure of non-computable Scott rank.

In this paper I discuss the role played by the 'categorical imperative' in the thought of Jean-Luc Nancy. I argue that, while this is a theme of major importance in Nancy's work, its overall significance is not immediately evident: on the surface, Nancy appears to be affirming the abstract exigency of the imperative while at the same time depriving it of any possible concrete force. I maintain, however, that a close reading of this theme in terms of other crucial (...) themes in Nancy's writing (namely: 'interruption' and the Heideggerian notion of 'Being-with' [Mitsein, être-avec]) reveals that Nancy's imperative does have concrete implications; indeed, it demands that we rethink the relation between responsibility and the concrete as such. Key Words: communication • community • Jacques Derrida • Martin Heidegger • imperative • Jean-Luc Nancy • responsibility. (shrink)

Kant, probably more than any other philosopher, has suffered in the hands of his commentators and critics, both friendly and hostile. The regrettable tendency to truncate philosophical doctrines, to treat them as heaps of bones from which the interpreter can select or pick one or two with the view of using them in his game of intellectual skill, finds its most patent expression in the various treatments of Kant’s account of knowledge, faith and action. It is somehow inviting to look (...) upon the writer of the three Critiques as a tri-cephalous creature—each head pointing in a different direction, a self-contained centre of ideas, each to be examined differently and separately. And yet Kant, with all his failings, cannot be regarded a philosophical schizophrenic. On the contrary, by emphasizing the unitary nature of the human being in all its varied aspects—epistemic, moral and aesthetic—his philosophy is a singularly convincing plea for the rejection of an atomistic approach to human personality. As it is, there are those amongst Kant’s readers who never go beyond the Critique of Pure Reason—indeed quite a number of them, deliberately or unwittingly, get bogged down on the Preface and the Introduction—and who claim that they know their Kant inside-out. There are, again, those who rest content with reading the Critique of Practical Reason and who labour under the impression that they have penetrated to the heart of Kant’s philosophy. Both these limited attitudes are gravid with distortions and they must obviously lead to wrong conclusions. One does not need to be a Kantian scholar or even an unsuspecting convert to see at a glance that at least the first two Critiques are complementary, that only when they are pieced together can Kant’s conception of man be fully comprehended. His view is as simple as it is clear: man participates in two worlds—that of physical nature and that of morality. He is an event, an object among others, determined by certain a priori necessary conditions which, when applied to the sensory manifold, yield subjects and objects, knowledge and nature; but he is also an agent and as such he creates another dimension which, though ‘located’ in the phenomenal world, is not reducible to it. (shrink)

This paper analyses one specific conversational practice of formulation called ‘notionalization’. It consists in the transformation of a description by a prior speaker into a categorization by the next speaker. Sequences of this kind are a “natural laboratory” for studying the differences between descriptions and categorizations regarding their semantic, interactional, and rhetorical properties: Descriptive/narrative versions are often vague and tentative, multi unit turns, which are temporalized and episodic, offering a lot of contingent, situational, and indexical detail. Notionalizations turn them into (...) condensed, abstract, timeless, and often agentless categorizations expressed by a noun (phrase) within one turn constructional unit (TCU). Drawing on audio- and video-taped German data from various types of interaction, the paper focuses on one particular practice of notionalization, the formulation of purportedly common ground by TCUs prefaced with the connective also . The paper discusses their turn-constructional and morphological properties, pointing out affinities of notionalization with language for special purposes. Notionalizations are used for reducing detail and for topical closure. They provide grounds for emergent keywords, which can be reused to re-contextualize topical issues and interactional histories efficiently. Notionalizations are powerful means for accomplishing intersubjectivity while pursuing (sometimes one-sided) practical relevancies at the same time. Their inevitably perspective design thus may lead to re-open the issue they were deemed to settle. The paper closes with an outlook to other practices of notionalization, pointing to dimensions of interactionally relevant variation and commonalities. (shrink)

Narratives of seed ‘loss’ and ‘persistence’ remain at loggerheads. Crop genetic diversity is rapidly eroding worldwide, we are told, and numerous studies support this claim. Other data, however, suggests an alternative storyline: far from disappearing, seed diversity persists around the world, resisting the homogenizing forces of modern capitalism. Which of these accounts is closer to the truth? As it turns out, crop biodiversity is more easily invoked than measured, more easily wielded than understood. In this essay, I contend that the (...) impasse reveals an error in the asking. We must, instead, look to the ontological, epistemic, and narrative dimensions of agrobiodiversity—and to the science, politics, and cultures of each. How is diversity empirically defined and measured? Who creates and categorizes diversity? Who does not? How is such knowledge mobilized in the accounts and narratives of different interest groups? Where, when, and why does a narrative hold true? This multi-dimensional view of agrobiodiversity makes space for a greater understanding of how diversity is created, maintained, and renewed. It suggests policy and institutional support for systems that engender such renewal of diversity, both in and ex situ. (shrink)

This article explores the possibility of locating an ‘ethics of memory’ respecting commission of mass atrocities via the link between justice, truth and memory. First, it suggests a typology for memory in relation to justice in its retributive and restorative aspects. Second, it explores how so-called ‘memory-justice’ arises in the course of international proceedings—and particularly given its significance under the Rome Statute—by considering, critically, the international community's ability to repair or restitute injury by engaging in memory in ‘the right way’. (...) Lastly, it suggests limitations of memory-justice of which only some can be overcome. The challenges and arguments for a ‘categorical imperative’ for memory are left for a subsequent treatment, but arguments in law and practical ethics will be suggested in favour of properly approaching memory in pursuit of justice, with profound consequences for the nascent Court and sister tribunals, in their efforts to break the cycle of conflict in affected regions, and rid the world of the worst crimes known to humanity. (shrink)

This paper adopts a cognitive linguistic framework to explore the influence of spatial and social factors on the use of Spanish demonstratives esta ‘this’ and esa ‘that’. Twenty adult Spanish speakers in Monterrey, Mexico, were asked questions prompting the selection of puzzle pieces for placement in a 25-piece puzzle located in the shared space between the participant and an addressee. Although participants were not explicitly instructed to produce demonstratives, the need to identify specific puzzle pieces naturally elicited a total of (...) 523 tokens of esta and esa. Analyses of the distribution of esta versus esa show that demonstratives are not used in a categorical manner to mark differences in physical space. Although participants tended to produce proximal esta for referents near the speaker, both esta and esa were used for referents further from the speaker and closer to the addressee. Participants’ demonstrative selection was also influenced by interaction type: intersubjective misalignment between speakers promoted the use of proximal esta, whereas intersubjective alignment promoted the use of distal esa. These results support the view that nominal grounding is an intersubjective activity. Physical and social factors jointly shape speakers’ construal of the developing co-constructed communicative event as a whole, leading to increasingly variable usage of demonstratives as the referent is more distant both spatially and intersubjectively from the speaker. (shrink)

After Wesley Salmon’s causal-mechanical stance on explanation in the 1980s, the ontic-epistemic debate of scientific explanations appeared to be resolved in the philosophy of science. However, since the twenty-first century, this debate has been rekindled among philosophers who focus on mechanistic explanations. Nevertheless, its issues have evolved, necessitating scrutiny of the new trends in this debate and a comparison with the original controversy between Carl Hempel and Salmon. The primary objective of this paper is to elucidate three categorical (...) class='Hi'>dimensions in the ontic-epistemic debates, spanning from the original to the recent controversies. Subsequently, it will explore why the conception of explanation is linked to representations, what conditions are necessary for linguistic expressions to be explanatory, and what roles norms play in explanation. Consequently, contrary to the common stereotype, it will be argued that mechanistic explanations are more likely to be epistemic rather than ontic. (shrink)

Physical dimensions like “mass”, “length”, “charge”, represented by the symbols [M], [L], [Q], are not numbers, but used as numbers to perform dimensional analysis in particular, and to write the equations of physics in general, by the physicist. The law of excluded middle falls short of explaining the contradictory meanings of the same symbols. The statements like “m tends to 0”, “r tends to 0”, “q tends to 0”, used by the physicist, are inconsistent on dimensional grounds because “m”, (...) “r”, “q” represent quantities with physical dimensions of [M], [L], [Q] respectively and “0” represents just a number—devoid of physical dimension. Consequently, due to the involvement of the statement “q tends to 0'', where q is the test charge” in the definition of electric field leads to either circular reasoning or a contradiction regarding the experimental verification of the smallest charge in the Millikan–Fletcher oil drop experiment. Considering such issues as problematic, by choice, I make an inquiry regarding the basic language in terms of which physics is written, with an aim of exploring how truthfully the verbal statements can be converted to the corresponding physico-mathematical expressions, where “physico-mathematical” signifies the involvement of physical dimensions. Such investigation necessitates an explanation by demonstration of “self inquiry”, “middle way”, “dependent origination”, “emptiness/relational existence”, which are certain terms that signify the basic tenets of Buddhism. In light of such demonstration I explain my view of “definition”; the relations among quantity, physical dimension and number; meaninglessness of “zero quantity” and the associated logico-linguistic fallacy; difference between unit and unity. Considering the importance of the notion of electric field in physics, I present a critical analysis of the definitions of electric field due to Maxwell and Jackson, along with the physico-mathematical conversions of the verbal statements. The analysis of Jackson’s definition points towards an expression of the electric field as an infinite series due to the associated “limiting process” of the test charge. However, it brings out the necessity of a postulate regarding the existence of charges, which nevertheless follows from the definition of quantity. Consequently, I explain the notion of undecidable charges that act as the middle way to resolve the contradiction regarding the Millikan–Fletcher oil drop experiment. In passing, I provide a logico-linguistic analysis, in physico-mathematical terms, of two verbal statements of Maxwell in relation to his definition of electric field, which suggests Maxwell’s conception of dependent origination of distance and charge ) and that of emptiness in the context of relative vacuum. This work is an appeal for the dissociation of the categorical disciplines of logic and physics and on the large, a fruitful merger of Eastern philosophy and Western science. Nevertheless, it remains open to how the reader relates to this work, which is the essence of emptiness. (shrink)

In the age of ubiquitous computing and artificially intelligent applications, social machines serves as a powerful framework for understanding and interpreting interactions in socio-algorithmic ecosystems. Although researchers have largely used it to analyze the interactions of individuals and algorithms, limited attempts have been made to investigate the politics in social machines. In this study, I claim that social machines are per se political machines, and introduce a five-point framework for classifying influence processes in socio-algorithmic ecosystems. By drawing from scholars from (...) political theory, I use a notion of influence that functions as a meta-concept for connecting and comparing different conceptions of politics. In this way, I can associate multiple political aspects of social machines from a cybernetic perspective. I show that the framework efficiently categorizes dimensions of influence that shape interactions between individuals and algorithms. These categories are symbolic influence, political conduct, algorithmic influence, design, and regulatory influence. Using case studies, I describe how they interact with each other on online social networks and in algorithmic decision-making systems and illustrate how the framework is able to guide scientists in further research. (shrink)

Augustin Dumont | : L’objectif de cet article est d’analyser la mobilisation fichtéenne du concept de Sollen en montrant de quelle manière ce dernier permet à Fichte de lier la dimension catégorique du savoir transcendantal à sa dimension problématique. L’article propose un parallèle entre la mobilisation du Sollen au plan de la fondation du savoir et sa mobilisation au plan de la théorie de l’intersubjectivité. Pour ce faire, l’article superpose trois points de vue : le point de vue fondamental de (...) l’intersubjectivité pure, le point de vue appliqué de l’intersubjectivité juridique et le point de vue appliqué de l’intersubjectivité éthique. | : This paper aims at analysing the Fichtean use of the concept of Sollen, by showing how the latter makes possible the way Fichte links the categorical dimension of transcendental knowledge to its problematic dimension. The article draws a parallel between the use of the concept of Sollen regarding the foundation of knowledge and regarding the theory of intersubjectivity. In order to do that, the article juxtaposes three points of view : the fundamental point of view of pure intersubjectivity, the applied point of view of the legal relationship and the applied one of ethical relationship. (shrink)

Categorical perception (CP) is said to occur when a continuum of equally spaced physical changes is perceived as unequally spaced as a function of category membership (Harnad, S. (Ed.) (1987). Psychophysical and cognitive aspects of categorical perception: A critical overview. Cambridge: Cambridge University Press). A common suggestion is that CP for color arises because perception is qualitatively distorted when we learn to categorize a dimension. Contrary to this view, we here report that English speakers show no evidence of (...) lowered discrimination thresholds at the boundaries between blue and green categories even though CP is found at these boundaries in a supra-threshold task. Furthermore, there is no evidence of different discrimination thresholds between individuals from two language groups (English and Korean) who use different color terminology in the blue-green region and have different supra-threshold boundaries. Our participants' just noticeable difference (JND) thresholds suggest that they retain a smooth continuum of perceptual space that is not warped by stretching at category boundaries or by within-category compression. At least for the domain of color, categorical perception appears to be a categorical, but not a perceptual phenomenon. (shrink)

Seeking to derive the manifestly qualitative world of objects and entities without recourse to fundamental categoricity or qualitativity, I offer an account of how higher-order categorical properties and objects may emerge from a pure-power base. I explore the possibility of ‘fields’ whose fluctuations are force-carrying entities, differentiated with respect to a micro-topology of curled-up spatial dimensions. Since the spacetime paths of gauge bosons have zero ‘spacetime interval’ and no time-like extension, I argue that according them the status of (...) fundamental entities would support a pure-power ontology. Such entities, circulating within self-sustaining micro-topological ‘networks’, feasibly maintain definite spatial configurations of conserved physical quantities, including energy-momentum. Perceived as time-like and massy, and representing fermionic entities, they give rise to the manifest world. (shrink)

The essence of metaphysical foundations of sport, meaning the collection of the most favorable conditions for solving the objectives, based on optimum life and theoretical foundation of the concept of sport as being optimum, its conceptual and categorical apparatus; Posted interpretation of metaphysics in the context of its development history of philosophical thought and analyzed the sport as a cultural phenomenon that is designed to convert natural human body in its cultural and executed physicality; The conditions under which the (...) processes of socialization in sport and through sport; reveals the conditions under which sport takes a phenomenon and lyudynovymirne and conditions that contribute to the violation human dimension. (shrink)

Attachment is an emotional bond between two people where one seeks care from the other. In the prototypical case, the child attaches to their mother. The most recent theoretical developments point out that attachment is multidimensional – meaning that the phenomenon pertains to multiple domains related to the relationship with the caregiver. However, researchers have so far modeled attachment computationally by mostly adopting a classical categorical (as opposed to dimensional) standpoint that sees the system as controlling caregiver proximity. In (...) contrast, we adopt here adimensional perspective(DP) and consider dimensions to be the system’s set-goals. We hypothesize that the resulting multidimensional controller should lead to valid (or even better) models of the phenomenon. To start testing this hypothesis, we built a DP-informed agent-based model of attachment inspired by the widely-studied Strange Situation Procedure. In this context, child and mother show the nature of attachment bonds through their behavioral and emotional expressions. By modeling them as point-agents moving in a two-dimensional arena, we simulated child-mother interactions for the avoidant and ambivalent attachment dimensions. The generated dynamical patterns – characterized by the alternation between approach and exploration – matched those described in the attachment literature, thereby confirming the implementability and validity of the DP. (shrink)

Recent trends in psychiatry involve a transition from categorical to dimensional frameworks, in which the boundary between health and pathology is understood as a difference in degree rather than as a difference in kind. A major tenet of dimensional approaches is that no qualitative distinction can be made between health and pathology. As a consequence, these approaches tend to characterize such a threshold as pragmatic or conventional in nature. However, dimensional approaches to psychopathology raise several epistemological and ontological issues. (...) First, we review major sources of evidence usually recruited in support of the dimensional trend (focusing on clinical observation and biological data), and we show that these are connected to different conceptualizations of how dimensional traits extend across health and pathology. Second, we criticize two unquestioned assumptions that stand at the core of the dimensional trend: a) that there is continuity from health to pathology at the symptomatic level; b) that such continuity reflects an underlying continuity in the genetic liability for pathological conditions. Third, we argue against the idea of a conventional threshold by showing that such a view implies a linear relationship between the genotype and the phenotype. Fourth, drawing on epigenetics and developmental biology, we offer a characterization of mental disorders as stable and dynamic constellations of multi-level variables that differ qualitatively from ‘healthy states’. We conclude by showing that our account has several theoretical advantages over both categorical and dimensional approaches. Notably, it provides crucial insights into psychological development over time and individual differences, with major implications in terms of intervention and clinical decision-making. (shrink)

Based on the categorical connection between the field and the state of exception, I propose to discuss on this article Giorgio Agamben’s conception of the state of exception in its paradoxical relationship with the law, a relationship which is proper to the paradoxical structure of sovereignty. The field is to the Italian thinker the experience which is able to clarify the paradoxical dimension of the state of exception because it expresses itself at the same time as inside and outside (...) the legal system. On the contemporary experience the state of exception is no longer characterized as an exceptional experience, but it has become the norm. Based on this, we want to present the dialog between Agamben and Carl Schmitt, in order to reflect on the condition of the state of exception to present itself as anomy, whilst continuing to establish with the law a necessary relationship, even in the form of suspension. (shrink)

Justice is a cultural and historical constant, characterized by plurality and incommensurate theories. This book identifies regulative and critical dimensions in the works of Kant, Hegel, Heller, and Honneth. The significance of the categorical imperative mediating plurality leads to a dynamic idea of justice that resists relativism.

The VIA Classification of Character Strengths and Virtue has received substantial attention since its inception as a model of 24 dimensions of positive human functioning, but less so as a potential contributor to a psychological science on the nature of virtue. The current paper presents an overview of how this classification could serve to advance the science of virtue. Specifically, we summarize previous research on the dimensional versus categorical characterization of virtue, and on the identification of cardinal virtues. (...) We give particular attention to the three-dimensional model of cardinal virtues that includes moral, self-regulatory, and intellectual domains. We also discuss the possibility that these three clusters be treated as fundamental elements of a virtue model, meaning that they clearly and directly contribute to both individual and communal flourishing across various cultures. This discussion includes a summary of previous speculations about the evolution of adaptations underlying the human capacity for using behavioral repertoires associated with the three virtues, as well as discussing ways in which they simultaneously enhance community and individual, in the last case focusing particularly on evidence concerning mating potential. We then discuss the relationship between the evolutionary perspective on virtues and Aristotle’s concept of the reciprocity of the virtues. Finally, we provide speculations about the nature of practical wisdom. While accepting the potential value of future revisions to the VIA model, that model even under its current conditions has the potential to generate a number of intriguing and testable hypotheses about the nature of virtue. (shrink)

Theodor W. Adorno is best known for his contributions to aesthetics and social theory. Critics have always complained about the lack of a practical, political or ethical dimension to Adorno's philosophy. In this highly original contribution to the literature on Adorno, J. M. Bernstein offers the first attempt in any language to provide an account of the ethical theory latent in Adorno's writings. Bernstein relates Adorno's ethics to major trends in contemporary moral philosophy. He analyses the full range of Adorno's (...) major works, with a special focus on Dialectic of Enlightenment, Minima Moralia and Negative Dialectics. In developing his account Bernstein lays particular stress on Adorno's contention that the event of Auschwitz demands a new categorical imperative. This book will be widely acknowledged as the standard work on Adorno's ethics and as such will interest professionals and students of philosophy, political theory, sociology, history of ideas, art history and music. (shrink)

A common view in both philosophy and the vision sciences is that, in human vision, wavelength information is primarily ‘for’ colouring: for seeing surfaces and various media as having colours. In this article we examine this assumption of ‘colour-for-colouring’. To motivate the need for an alternative theory, we begin with three major puzzles from neurophysiology, puzzles that are not explained by the standard theory. We then ask about the role of wavelength information in vision writ large. How might wavelength information (...) be used by any monochromat or dichromat and, finally, by a trichromatic primate with object vision? We suggest that there is no single ‘advantage’ to trichromaticity but a multiplicity, only one of which is the ability to see surfaces and so on as having categorical colours. Instead, the human trichromatic retina exemplifies a scheme for a general encoding of wavelength information given the constraints imposed by high spatial resolution object vision. Chromatic vision, like its partner, luminance vision, is primarily for seeing. Viewed this way, the ‘puzzles’ presented at the outset make perfect sense. 1 Reframing the Problem1.1 Introduction1.2 Three puzzles1.2.1 Why is trichromatic vision an anomaly in diurnal mammals?1.2.2 Why does the colour system occupy such a large and central part in human vision?1.2.3 Why are the blue cones so rare?1.3 Recasting the question2 The Costs and Benefits of Spectral Vision2.1 Spectral information and object vision2.2 Encoding the spectral dimension of light2.2.1 ‘General’ versus ‘specific’ encoding2.2.2 Spectral encoding and the monochromat2.2.3 Spectral encoding and the dichromat2.2.4 Spectral encoding and the human trichromat2.3 Three puzzles revisited2.3.1 Why is trichromatic vision an anomaly in diurnal mammals?2.3.2 Why does the colour system occupy such a large and central part in human vision?2.3.3 Why are the blue cones so rare3 Conclusion. (shrink)

Small and medium-sized firms form 90% of the worldwide population of businesses. However, it has been argued that given their smaller scale of operations, resource access constraints and lower visibility, smaller firms are less likely to participate in Corporate Social Responsibility (CSR) initiatives. This article examines the different economic motivations of firms with varying combinations of visibility, resource access and scale of operations. Arguments are presented to propose that in terms of visibility, resource access and operating scale, very small and (...) very large firms are equally motivated to participate in CSR. However, the motivational bases for CSR participation are likely to be different. Medium-sized firms are the least motivated. This suggests a U-shaped relationship between firm size and CSR participation. This study contributes towards resolution of the long-standing debate on the effects of firm size on CSR participation, and highlights the importance of considering configurations of firm characteristics in the study of CSR outcomes. In conclusion, cautions are raised against the broad categorization of firms, without adequate attention to the underlying dimensions of such categorizations. (shrink)

Basic Emotion theory has had a tremendous influence on the affective sciences, including music psychology, where most researchers have assumed that music expressivity is constrained to a limited set of basic emotions. Several scholars suggested that these constrains to musical expressivity are explained by the existence of a shared acoustic code to the expression of emotions in music and speech prosody. In this article we advocate for a shift from this focus on basic emotions to a constructionist account. This approach (...) proposes that the phenomenon of perception of emotions in music arises from the interaction of music’s ability to express core affects and the influence of top-down and contextual information in the listener’s mind. We start by reviewing the problems with the concept of Basic Emotions, and the inconsistent evidence that supports it. We also demonstrate how decades of developmental and cross-cultural research on music and emotional speech have failed to produce convincing findings to conclude that music expressivity is built upon a set of biologically pre-determined basic emotions. We then examine the cue-emotion consistencies between music and speech, and show how they support a parsimonious explanation, where musical expressivity is grounded on two dimensions of core affect (arousal and valence). Next, we explain how the fact that listeners reliably identify basic emotions in music does not arise from the existence of categorical boundaries in the stimuli, but from processes that facilitate categorical perception, such as using stereotyped stimuli and close-ended response formats, psychological processes of construction of mental prototypes, and contextual information. Finally, we outline our proposal of a constructionist account of perception of emotions in music, and spell out the ways in which this approach is able to make solve past conflicting findings. We conclude by providing explicit pointers about the methodological choices that will be vital to move beyond the popular Basic Emotion paradigm and start untangling the emergence of emotional experiences with music in the actual contexts in which they occur. -/- . (shrink)

Hrushovski originated the study of “flat” stable structures in constructing a new strongly minimal set and a stable 0-categorical pseudoplane. We exhibit a set of axioms which for collections of finite structure with dimension function δ give rise to stable generic models. In addition to the Hrushovski examples, this formalization includes Baldwin's almost strongly minimal non-Desarguesian projective plane and several others. We develop the new case where finite sets may have infinite closures with respect to the dimension function δ. (...) In particular, the generic structure need not be ω-saturated and so the argument for stability is significantly more complicated. We further show that these structures are “flat” and do not interpret a group. (shrink)

_The Messianic Reduction_ is a groundbreaking study of Walter Benjamin's thought. Fenves places Benjamin's early writings in the context of contemporaneous philosophy, with particular attention to the work of Bergson, Cohen, Husserl, Frege, and Heidegger. By concentrating on a neglected dimension of Benjamin's friendship with Gershom Scholem, who was a student of mathematics before he became a scholar of Jewish mysticism, Fenves shows how mathematical research informs Benjamin's reflections on the problem of historical time. In order to capture the character (...) of Benjamin's "entrance" into the phenomenological school, the book includes a thorough analysis of two early texts he wrote under the title of "The Rainbow," translated here for the first time. In its final chapters, the book works out Benjamin's deep and abiding engagement with Kantian critique, including Benjamin's discovery of the political counterpart to the categorical imperative in the idea of "pure violence.". (shrink)

On the standard view we assess a person’s competence by considering her relevant abilities without reference to the actual decision she is about to make. If she is deemed to satisfy certain threshold conditions of competence, it is still an open question whether her decision could ever be overruled on account of its harmful consequences for her (‘hard paternalism’). In practice, however, one normally uses a variable, risk dependent conception of competence, which really means that in considering whether or not (...) to respect a person’s decision-making authority we weigh her decision on several relevant dimensions at the same time: its harmful consequences, its importance in terms of the person’s own relevant values, the infringement of her autonomy involved in overruling it, and her decision-making abilities. I argue that we should openly recognize the multi-dimensional nature of this judgment. This implies rejecting both the threshold conception of competence and the categorical distinction between hard and soft paternalism. (shrink)

In the philosophy of perception, olfaction is the perennial problem child, presenting a range of difficulties to those seeking to define its proper referents, and its phenomenological content. Here, we argue that many of these difficulties can be resolved by recognizing the object-like representation of odors in the brain, and by postulating that the basic objects of olfaction are best defined by their biological value to the organism, rather than physico-chemical dimensions of stimuli. Building on this organism-centered account, we (...) speculate that the phenomenological space of olfaction is organized into a number of coarse affective dimensions that apply categorically. This organization may be especially useful for coupling sensation to decision-making and instrumental action in a sensory modality where the stimulus space is especially complex and high-dimensional. (shrink)

Did protolanguage users use discrete words that referred to objects, actions, locations, etc., and then, at some point, combine them; or on the contrary did they have words that globally indexed whole semantic complexes, and then come to divide them? Our answer is: early humans were forming language units consisting of global and discrete dimensions of semiosis in dynamic opposition. These units of thinking-for-speaking, or ‘growth points’ (GPs) were, jointly, analog imagery (visuo-spatio-motoric) and categorically-contrastive (-emic) linguistic encodings. This discrete-global (...) duality was a new mode of embodied cognition that enabled thinking and acting in new ways: the dawn of protolanguage. Where did this mode of cognition come from? We have some suggestions based on the hypothesis that gestures gained the power to orchestrate actions, manual and vocal, with significances other than those of the actions themselves, giving rise to cognition framed in the proposed dual terms. Note, however, our proposal is not one of the ‘gesture-first’ theories of language origins. Such theories predict what did not evolve: a language of pantomime; rather than what did evolve: an integrated system of synchronized gestures and spoken forms. GP theory is an account of the cognition underlying such an integrated system. A scenario for the evolutionary selection of this cognitive mode is ‘Mead’s Loop’, a model in which one’s cognition is enriched by one’s own gestures, insofar as they are objects in social interactions. (shrink)

We exploit properties of certain directed graphs, obtained from the families of sets with special effective enumeration properties, to generalize several results in computable model theory to higher levels of the hyperarithmetical hierarchy. Families of sets with such enumeration features were previously built by Selivanov, Goncharov, and Wehner. For a computable successor ordinal α, we transform a countable directed graph into a structure such that has a isomorphic copy if and only if has a computable isomorphic copy.A computable structure is (...) categorical if for all computable isomorphic copies of , there is an isomorphism from onto , which is . We prove that for every computable successor ordinal α, there is a computable, categorical structure, which is not relatively categorical. This generalizes the result of Goncharov that there is a computable, computably categorical structure, which is not relatively computably categorical.An additional relation R on the domain of a computable structure is intrinsically on if in all computable isomorphic copies of , the image of R is . We prove that for every computable successor ordinal α, there is an intrinsically relation on a computable structure, which not relatively intrinsically . This generalizes the result of Manasse that there is an intrinsically computably enumerable relation on a computable structure, which is not relatively intrinsically computably enumerable.The dimension of a structure is the number of computable isomorphic copies, up to isomorphisms. We prove that for every computable successor ordinal α and every n≥1, there is a computable structure with dimension n. This generalizes the result of Goncharov that there is a structure of computable dimension n for every n≥1.Finally, we prove that for every computable successor ordinal α, there is a countable structure with isomorphic copies in just the Turing degrees of sets X such that relative to X is not . In particular, for every finite n, there is a structure with isomorphic copies in exactly the non- Turing degrees. This generalizes the result obtained by Wehner, and independently by Slaman, that there is a structure with isomorphic copies in exactly the nonzero Turing degrees. (shrink)