Recensión de W. Thompson y A. Wheeler, La demanda de la mitad de la raza humana, las mujeres contra la pretensión de la otra mitad, los hombres, de mantenerlas en la esclavitud política y, en consecuencia, civil y doméstica, Editorial Comares, Granada, 2000.

As it is known, there is no rule satisfying Additivity in the complete domain of bankruptcy problems. This paper proposes a notion of partial Additivity in this context, to be called µ-additivity. We find that µ-additivity, together with two quite compelling axioms, anonymity and continuity, identify the Minimal Overlap rule, introduced by Neill (1982).

Gil R, Arroyo-Anllo EM, Ingrand P, Gil M, Neau JP, Ornon C, Bonnaud V. Self-consciousness and Alzheimer’s disease. Acta Neurol Scand 2001: 104: 296–300. # Munksgaard 2001. Objectives – To propose a neuropsychological study of the various aspects of self-consciousness (SC) in Alzheimer’s disease. Methods – Forty-five patients with probable mild or moderate AD were included in the study. Severity of their dementia was assessed by the Mini Mental State (MMS). Fourteen questions were prepared to evaluate SC. Results – No (...) significant correlations were found between SC score and educational level, age, and duration of disease. A significant correlation was found between SC score and the severity of dementia, whereas frontal disturbances were just short of the significance threshold. The various aspects of SC were not impaired to the same degree. The most disturbed ones were awareness of cognitive deficiencies, moral judgements and prospective memory. The least disturbed aspects were awareness of identity and of mental representation of the body. Items relating to anosognosia and moral judgements were significantly correlated with the MMS score, whereas affective state, body representation disorders, prospective memory, and capacities for introspection were not related to the severity of the dementia. Consciousness of identity was sound, regardless of MMS score. Conclusions – AD clearly induces an heterogeneous impairment of SC. SC requires a convergence of many neural networks. In AD, neuronal alterations involve many cortical areas and information sent to the associative frontal cortex from memory, language and visuospatial areas is lacking or disturbed. Thus, the sequential order of successive stimuli cannot be maintained by the heteromodal associative cortex (dorsal convexity of the prefrontal cortex), and the supramodal associative cortex (located rostrally in the frontal lobes) is unable to provide reliable monitoring and assessment of simultaneous neural cognitive networks carrying insufficient and inadequate input. The core deficiency in AD patients might be impaired SC equated with the disability to maintain sequential and simultaneous ‘‘attention to life’’. The Self-Consciousness Questionnaire, a clinical scale providing multidimensional measurement, indicates that different aspects of consciousness are not correlated with overall cognitive deficiency as determined by the MMSE. (shrink)

En este trabajo se considera la orientación filosófica que cobra la ciencia desde la perspectiva materialista de la Teoría del Cierre Categorial. Se da cuenta de cómo entender la teoría como ideología, y se muestra que concebirla como señal permite percibir que ésta teoría materialista de la ciencia establece dos objetivos científicos fundamentales: el operacionalismo y el desarrollo y/o progreso, y pone de relieve un problema: la falta de desarrollo de la articulación entre conocimiento y acción que permita atender a (...) la axiología. (shrink)

In the United States, final amendments to the Federal Policy for the Protection of Human Subjects (“the Common Rule”) were published on January 19, 2017, and they will take effect on January 21, 2019. One of the most widely discussed provisions is that for the first time, federal regulations governing research with humans authorize the use of broad consent for future, unspecified research on individually identifiable biospecimens and associated data. Many questions have been raised about broad consent, including what effect (...) it will have on research and whether it adequately protects the interests of research participants.There are lessons to be learned for the U.S. and other countries by looking to countries that already have experience with broad consent for biobank collection and with the storage and subsequent use of the biospecimens and data. This article describes how broad consent works in five countries—Canada (in Quebec), Israel, Nigeria, Taiwan, and the United Kingdom—and with different types of biobanks: national biobanks, federated biobanks, and regional biobanks. Evaluating the provisions and challenges of the broad consent approaches in these countries can inform policies for this increasingly used approach to biobank regulation. (shrink)

Impairment of the Self has been described in frontal–temporal dementia but little research has been carried out in patients with Alzheimer’s disease. Objective. The aim of this study was to explore changes in the self in patients with AD. Method. Forty-seven patients with mild to moderate AD were examined using a semi-structured scale designed to assess the self-concept along three dimensions, namely, the Material Self, the Social Self and the Spiritual Self. Results. The majority of patients presented impairment of at (...) least one dimension of the Self. When only one dimension was affected, it was always the Social Self. The severity of impairment of the Self was correlated to the impairment of the semantic autobiographical memory and apathy. The Self is impaired in AD and the Social Self dimension appears to be more vulnerable in AD than other dimensions. (shrink)

Los análisis recientes de José Casanova, Jürgen Habermas, Gordon Lynch, Hans Joas, Robert Bellah, David Martin o el último Peter Berger -entre otros- han puesto el foco en las limitaciones asociadas a la teoría general de la secularización, convertida, durante décadas, en paradigma a partir del cual comprender e interpretar las relaciones entre lo secular y lo religioso. A través de la teoría de la post-secularización se ha podido re-graduar la mirada sociológica en torno a dichas relaciones, poniendo el énfasis (...) en la vitalidad y pluralidad de formas que adquiere lo religioso en la actualidad. Partiendo de este presupuesto, el objetivo de nuestro trabajo es realizar una genealogía sociológico-conceptual de la post-secularización centrada en el análisis de algunas de las principales aportaciones teóricas que han contribuido al desarrollo de esta nueva forma de aproximación a la secularización. Dicha genealogía no se va a limitar al análisis de la obra de autores que han articulado sus propuestas como respuesta a las insuficiencias de la teoría general de la secularización, sino también queremos estudiar brevemente algunas aportaciones de clásicos del pensamiento sociológico –concretamente de Durkheim y de Weber- cuyas reflexiones ya apuntaban a un horizonte de post-secularización. Así, tras la introducción presentaremos un primer apartado centrado en estudiar el politeísmo moderno según Weber y la cosa sagrada en la obra de Durkheim. Posteriormente presentaremos tres análisis teóricos actuales, concretamente los de Habermas, Casanova y Lynch, que nos ayudarán a perfilar los contornos conceptuales de la post-secularización. (shrink)

Cognitive neuroscience aims to map mental processes onto brain function, which begs the question of what “mental processes” exist and how they relate to the tasks that are used to manipulate and measure them. This topic has been addressed informally in prior work, but we propose that cumulative progress in cognitive neuroscience requires a more systematic approach to representing the mental entities that are being mapped to brain function and the tasks used to manipulate and measure mental processes. We describe (...) a new open collaborative project that aims to provide a knowledge base for cognitive neuroscience, called the Cognitive Atlas, and outline how this project has the potential to drive novel discoveries about both mind and brain. (shrink)

Physicians frequently encounter situations in which their professional practice is intermingled with moral affordances stemming from other domains of the physician’s lifeworld, such as family and friends, or from general morality pertaining to all humans. This article offers a typology of moral conflicts ‘at the margins of professionalism’ as well as a new theoretical framework for dealing with them. We start out by arguing that established theories of professional ethics do not offer sufficient guidance in situations where professional ethics overlaps (...) with moral duties of other origins. Therefore, we introduce the moral theory developed by Christine M. Korsgaard, that centres around the concept of practical identity. We show how Korsgaard’s account offers a framework for interpreting different types of moral conflicts ‘at the margins of professionalism’ to provide either orientation for solving the conflict or an explanation for the emotional and moral burden involved in moral dilemmas. (shrink)

Physicians frequently encounter situations in which their professional practice is intermingled with moral affordances stemming from other domains of the physician’s lifeworld, such as family and friends, or from general morality pertaining to all humans. This article offers a typology of moral conflicts ‘at the margins of professionalism’ as well as a new theoretical framework for dealing with them. We start out by arguing that established theories of professional ethics do not offer sufficient guidance in situations where professional ethics overlaps (...) with moral duties of other origins. Therefore, we introduce the moral theory developed by Christine M. Korsgaard, that centres around the concept of practical identity. We show how Korsgaard’s account offers a framework for interpreting different types of moral conflicts ‘at the margins of professionalism’ to provide either orientation for solving the conflict or an explanation for the emotional and moral burden involved in moral dilemmas. (shrink)

We consider Sussman et al. 's suggestion that auditory biases for processing low-noise relationships among pairs of acoustic variables is a preadaptation for human speech processing. Data from other animal communication systems, especially those involving sexual selection, also suggest that neural biases in the receiver system can generate strong selection on the form of communication signals.

Microsystems are described as contexts formed by a subject, their roles, their interactions, and a specific physical space and time, such as housing and the school environment. Although several studies suggest the importance of studying this type of environment and its repercussion on children’s development, in a Latin American context, few studies integrate the interaction of two primary settings in the development of executive functioning. The present study explores the effects of the quality of housing and school environments on the (...) perception of stress, decision making, and planning among children. A total of 114 children (43% girls and 57% boys, M age = 10.57) from a primary school located in a community classified as poor participated in the study. The following was measured: the environmental quality of classrooms, housing, stress, and executive functioning of children. The results reveal a model linking environmental quality levels in children’s homes and schools and executive functioning. We also obtain a mediating role of stress between microsystems and performance, finding a deficit in executive performance when children experienced higher levels of stress as a result of poor environmental quality both in their homes and in their schools. (shrink)

O pensamento de E. M. Cioran (1911-1995) sempre se pautou pela omnipresença de um pessimismo existencial, em que a noção de queda informa indelevelmente o seu quadro mental. Sendo o exílio ontológico uma das pedras angulares do seu catálogo reflexivo, a tragédia capital, para Cioran, seria uma queda no ser e no tempo, a inescapabilidade da existência que encontra uma particular ressonância num título como Do Inconveniente de Ter Nascido (1973). Não negando a validade destas premissas filosóficas, o presente artigo (...) visa, no entanto, colmatar aquilo que julgamos ser uma lacuna no âmbito dos estudos cioranianos, nomeadamente uma incursão sobre a pertinência, para um correcto entendimento da obra deste autor, da presença do humor e da ironia na sua forma mentis, aludindo ao conceito de profanação explanado por Giorgio Agamben, ao conceito de humor explorado por Julio Cortázar e ao conceito de desastre de Maurice Blanchot. (shrink)

We continue the work of Blok and Jónsson by developing the theory of structural closure operators and introducing the notion of a representation between them. Similarities and equivalences of Blok-Jónsson turn out to be bijective representations and bijective structural representations, respectively. We obtain a characterization for representations induced by a transformer. In order to obtain a similar characterization for structural representations we introduce the notions of a graduation and a graded variable of an M-set. We show that several deductive systems, (...) Gentzen systems among them, are graded M-sets having graded variables, and describe the graded variables in each case. In the last section we show that, for a sentential logic, having an algebraic semantics is equivalent to being representable in an equational consequence. This motivates the extension of the notion of having an algebraic semantics for Gentzen systems, hypersequents systems, etc. We prove that if a closure operator is representable by a transformer, then every extension of it is also representable by the same transformer. As a consequence we obtain that if one of these systems has an algebraic semantics, then so does any of its extensions with the same defining equations. (shrink)

Humanist sociologists are activists rooted in the reality of history and change and guided by a concern for the 'real life' problems of equality, peace, and social justice. They view people as active shapers of social life, capable of creating societies in which everyone's potential can unfold. Alfred McClung Lee introduces this volume with 'Sociology: Humanist and Scientific' and develops the theme that a sociology that is humanist is also scientific. The other nine selections are grouped into four parts: 'The (...) Individual and Social Life;' 'Social Institutions: Technology, Science, and Formal Organization;' 'Political Structures: Issues of Justice and Equality;' and 'Methodological Critiques and Counterproposals.'. (shrink)

Analitik psikoloji 20. yüzyılda İsviçreli psikoterapist Carl Gustav Jung tarafından oluşturulmuş kuramdır. Kuram sadece psikoterapi alanını değil psikolojiden teoloji, etnografi, edebiyat ve güzel sanatlara kadar pek çok bilim dalını da etkilemiştir. Jung’un kuramındaki en önemli başarısı; bilinçdışı ile bireysel bilinçdışı ve kolektif bilinçdışının keşfidir. Bu keşifle sadece çeşitli bilim dalları edebî metinlerde geçen kolektif imgeler ve onların kolektif simgelerinin neler olduğunu değil insanlar da ruhun ihtiyacının ne olduğunu öğrenmiştir. Jung’un kuramının birincil maddesi ontolojik açıdan insanın kendisinden daha güçlü bir varlığa (...) bağlanma ihtiyacıyla doğmasıdır. İnsan bu temel ihtiyacını göz ardı ederek yaşamını sürdürdüğünde enerjisini yapısına ters yönde isteklere harcayarak giderir. Nitekim insan doğası gereği hayatın çeşitli yönlerine ilgi duyan, onları gerçekleştirmede istekli olan varlıktır. Bu istekler bazen toplumun refahını engelleyici dolayısıyla dinî emirlere aykırı olabilir. Böylece gerek toplumun kurallarına gerek dinin buyruklarına ters düşülür. Bu durumda dinen istenilen insan olunamadığı gibi psikolojik açıdan da bireyselleşme gerçekleştirilememiş olur. Bireyselliğini gerçekleştirememiş insanlar Jung’un kuramında isimlendirdiği gibi gölgelerinin farkına varamamış kişilerdir. Analitik psikolojide insanlık adına çok önemli olan gölgelerin farkına varılması oldukça zordur. Klinik gözlemlerinden hareketle kuramını oluşturan Jung’a göre hayatı boyunca gölgelerinin farkına varamayan insanlar olduğu gibi hayatlarının bazı evrelerinde yaşadıkları tecrübe neticesinde kendilerini bitkin, yorgun hatta hasta hisseden insanların olması da mümkündür. Jung kuramında gölgelerinin farkına varamayan insanların; bireyselleşmelerinin gerçekleşmediğini belirtir. Ona göre insanlığın en büyük yıkımı bireyselleşmenin gerçekleşmediği toplumlardan kaynaklanacaktır. Makale; analitik psikolojide gölge arketipinin tasavvufî görüşte arzu, istek, hayatın ilkeleri manalarına da gelen nefs teriminin benzeşik oluşu üzerine kaleme alınmıştır. Bu sebeple makalede on bir tane mutasavvıf şairin dîvânında zikredilen nefs kelimesi kuram doğrultusunda titizlikle incelenmiştir. Makale Jung’un kuramı ışığında bir arketip olan gölge ibaresinin mutasavvıf şairlerin dîvânlarında incelenen nefs ibaresine karşılık geldiği elli bir manzumenin açıklanmasından oluşmaktadır. Elde edilen veriler neticesinde makale gölgenin tanımı, bilinçlenmeye başlama, gölgeleri tanıma, bireyselleşme ve gölge çeşitleri olmak üzere beş bölümdür. Makalede yer alan gölge çeşitleri; acelecilik, hırs, kibir ve kin alt bölümlerini ihtiva etmektedir. Bu alt bölümlerde insanın olumsuz özelliklerini anlatan gölge çeşitlerini bildiren manzumelerin aynı zamanda insanın bu kötü hasletleriyle nasıl mücadele edeceğine dair öğütleri, çözüm önerilerini içerdiği tespit edilmiştir. Mutasavvıf şairler tarafından okuyucusuna verilen bu öğütler Jung’un da kuramında özellikle üzerinde durduğu hasletlerdir. Çalışmayla gerek klasik Türk edebiyatı gerek Türk İslâm edebiyatı alanına metinlerde zikredilen kelimelerin sembolik anlamlarının kazandırılması, farklı bir derinlik getirilmesinin yanında teoloji bilim dallarına da katkı sağlaması ümit edilmektedir. (shrink)

Buchanan’s work, and in particular The Calculus of Consent, which he wrote with Gordon Tullock, has been foundational in the field of public choicePublic choice. One of his students, Charles Plott, became a pioneer with multiple seminal contributions in the field of experimental public choice. In this chapter we focus on Buchanan’s work on decision making under majority rule, and any influence it may have had on Plott. While Buchanan and Tullock address environments with single decisions, they focus much more (...) on decision making under repeated votes, a topic they found of great interest. Plott’s seminal 1978 paper with Morris Fiorina, however, focuses on single decisions. It may seem puzzling, then, that Plott has often suggested Buchanan’s influence on his work. We offer a resolution to this puzzle. (shrink)

We generalise the Blok–Jónsson account of structural consequence relations, later developed by Galatos, Tsinakis and other authors, in such a way as to naturally accommodate multiset consequence. While Blok and Jónsson admit, in place of sheer formulas, a wider range of syntactic units to be manipulated in deductions (including sequents or equations), these objects are invariablyaggregatedvia set-theoretical union. Our approach is more general in that nonidempotent forms of premiss and conclusion aggregation, including multiset sum and fuzzy set union, are considered. (...) In their abstract form, thus,deductive relationsare defined as additional compatible preorderings over certain partially ordered monoids. We investigate these relations using categorical methods and provide analogues of the main results obtained in the general theory of consequence relations. Then we focus on the driving example of multiset deductive relations, providing variations of the methods of matrix semantics and Hilbert systems in Abstract Algebraic Logic. (shrink)

When considering m-sequents, it is always possible to obtain an m-sequent calculus VL for every m-valued logic (defined from an arbitrary finite algebra L of cardinality m) following for instance the works of the Vienna Group for Multiple-valued Logics. The Gentzen relations associated with the calculi VL are always finitely equivalential but might not be algebraizable. In this paper we associate an algebraizable 2-Gentzen relation with every sequent calculus VL in a uniform way, provided the original algebra L has a (...) reduct that is a distributive lattice or a pseudocomplemented distributive lattice. We also show that the sentential logic naturally associated with the provable sequents of this algebraizable Gentzen relation is the logic that preserves degrees of truth with respect to the original algebra (in contrast with the more common logic that merely preserves truth). Finally, for some particular logics we obtain 2-sequent calculi that axiomatize the algebraizable Gentzen relations obtained so far. (shrink)

© 2016 Elsevier LtdJumping spiders are famous for their visually driven behaviors [1]. Here, however, we present behavioral and neurophysiological evidence that these animals also perceive and respond to airborne acoustic stimuli, even when the distance between the animal and the sound source is relatively large and with stimulus amplitudes at the position of the spider of ∼65 dB sound pressure level. Behavioral experiments with the jumping spider Phidippus audax reveal that these animals respond to low-frequency sounds by freezing—a common (...) anti-predatory behavior characteristic of an acoustic startle response. Neurophysiological recordings from auditory-sensitive neural units in the brains of these jumping spiders showed responses to low-frequency tones —recordings that also represent the first record of acoustically responsive neural units in the jumping spider brain. Responses persisted even when the distances between spider and stimulus source exceeded 3 m and under anechoic conditions. Thus, these spiders appear able to detect airborne sound at distances in the acoustic far-field region, beyond the near-field range often thought to bound acoustic perception in arthropods that lack tympanic ears [2]. Furthermore, direct mechanical stimulation of hairs on the patella of the foreleg was sufficient to generate responses in neural units that also responded to airborne acoustic stimuli—evidence that these hairs likely play a role in the detection of acoustic cues. We suggest that these auditory responses enable the detection of predators and facilitate an acoustic startle response. Video. (shrink)

In this paper we discuss James Buchanan’s contribution in the narrow domain of understanding committee voting under majority rule. We then go on to discuss Charles Plott’s seminal experimental work on the topic that sparked a wave of public choice experimental work. However, given Plott’s claims that Buchanan influenced him significantly, it is puzzling that his work with Morris Fiorina explores a question outside of those which Buchanan and Tullock found interesting. We suggest several ways to resolve this tension. Our (...) chapter concludes by discussing a lacuna in the experimental public choice literature in which Buchanan was particularly interested—logrolling, or vote trading. (shrink)

Este trabajo establece un diálogo acerca del concepto de verdad según el pensamiento de Leonardo Polo y tres pensadores contemporáneos. En primer lugar, se realizará un análisis del planteamiento del pensador francés Michel Foucault a través de su obra “Vigilar y castigar: nacimiento de la prisión”. En segundo lugar, se describirán los principales puntos de confluencia con la obra “La fe de los demonios (o el ateísmo superado)” del filósofo francés Fabrice Hadjadj. En tercer lugar, se analizará la obra “Las (...) doce reglas: un antídoto al caos” del psicólogo canadiense Jordan Bernt Peterson. (shrink)

K. Lüscher, M. Sánchez, A. Klimczuk, Generations, intergenerational relationships, generational policy: A multilingual compendium, 12 languages, Universität Konstanz, Konstanz 2016, 300pp.

K. Lüscher, M. Sánchez, A. Klimczuk, Generations, intergenerational relationships, generational policy: A multilingual compendium, 12 languages, Universität Konstanz, Konstanz 2016, 300pp.

In his thesis 'Para uma Teoria Geral dos Homomorfismos' (1944) the Portuguese mathematician José Sebastião e Silva constructed an abstract or generalized Galois theory, that is intimately linked to F. Klein’s Erlangen Program and that foreshadows some notions and results of today’s model theory; an analogous theory was independently worked out by M. Krasner in 1938. In this paper, we present a version of the theory making use of tools which were not at Silva’s disposal. At the same time, we (...) tried to keep in mind, so much as possible, the gist of his standpoint. (shrink)

Gils-Schmidt and Salloch recognise that human and climate health are inextricably linked, and that mitigating healthcare-associated climate harms is essential for protecting human health.1 They argue that physicians have a duty to consider how their own practices contribute to climate change, including during their interactions with patients. Acknowledging the potential for conflicts between this duty and the provision of individual patient care, they propose the application of Korsgaard’s neo-Kantian account of practical identities to help navigate such scenarios. In this commentary, (...) we argue that by focusing attention on this physician–patient level, the authors overlook the complexity of climate change, both within the healthcare sector and beyond. We recognise the importance of individual agency in tackling this issue, and we also recognise that the authors do briefly acknowledge the importance of considering these broader complexities; however, we emphasise the need for climate and health discussions/action to be situated in a wider framework of systemic change. Our concern is that overemphasis on patient-level interactions risks normalising the prioritisation of individual-level approaches to addressing climate change, detracting from such a broader approach. Physician training emphasises the need for trust, confidentiality and shared decision-making in the doctor–patient relationship. …. (shrink)

K. Lüscher, M. Sánchez, A. Klimczuk, Generations, intergenerational relationships, generational policy: A multilingual compendium, 12 languages, Universität Konstanz, Konstanz 2016, 300pp.

K. Lüscher, M. Sánchez, A. Klimczuk, Generations, intergenerational relationships, generational policy: A multilingual compendium, 12 languages, Universität Konstanz, Konstanz 2016, 300pp.

K. Lüscher, M. Sánchez, A. Klimczuk, Generations, intergenerational relationships, generational policy: A multilingual compendium, 12 languages, Universität Konstanz, Konstanz 2016, 300pp.

This is the first of a two-volume monograph on the Unification of Artificial Intelligence and Psychology. It unifies the topics of representation, meaning, thinking, communication, and understanding. Such a unification requires the establishment of a novel, fully explicated, theoretical construct —noémon system— that replaces all the inadequately developed concepts that historically have been used as constitutive notions of cognitive science. The space of noémon systems encompasses an awe-inspiring variety of noémon species and an increasing variety of artificially noémon entities and (...) hybrid noémon systems. As such, it is a superspace of the space of phenomena addressed by cognitive science. The theory of noémon systems (TNS) described in this two-volume monograph is envisaged as the first step towards an emerging science of noémon systems. (shrink)

K. Lüscher, M. Sánchez, A. Klimczuk, Generations, intergenerational relationships, generational policy: A multilingual compendium, 12 languages, Universität Konstanz, Konstanz 2016, 300pp.

K. Lüscher, M. Sánchez, A. Klimczuk, Generations, intergenerational relationships, generational policy: A multilingual compendium, 12 languages, Universität Konstanz, Konstanz 2016, 300pp.

K. Lüscher, M. Sánchez, A. Klimczuk, Generations, intergenerational relationships, generational policy: A multilingual compendium, 12 languages, Universität Konstanz, Konstanz 2016, 300pp.

K. Lüscher, M. Sánchez, A. Klimczuk, Generations, intergenerational relationships, generational policy: A multilingual compendium, 12 languages, Universität Konstanz, Konstanz 2016, 300pp.

K. Lüscher, M. Sánchez, A. Klimczuk, Generations, intergenerational relationships, generational policy: A multilingual compendium, 12 languages, Universität Konstanz, Konstanz 2016, 300pp.

The “representation problem” in abstract algebraic logic is that of finding necessary and sufficient conditions for a structure, on a well defined abstract framework, to have the following property: that for every structural closure operator on it, every structural embedding of the expanded lattice of its closed sets into that of the closed sets of another structural closure operator on another similar structure is induced by a structural transformer between the base structures. This question arose from Blok and Jónsson abstract (...) analysis of one of Blok and Pigozzis’s characterizations of algebraizable logics. The problem, which was later on reformulated independently by Gil-Férez and by Galatos and Tsinakis, was solved by Galatos and Tsinakis in the more abstract framework of the category of modules over a complete residuated lattice, and by Galatos and Gil-Férez in the even more abstract setting of modules over a quantaloid. We solve the representation problem in Blok and Jónsson’s original context of M-sets, where M is a monoid, and characterise the corresponding M-sets both in categorical terms and in terms of their inner structure, using the notions of a graded M-set and a generalized variable introduced by Gil-Férez. (shrink)