ABSTRACTOrganization and management researchers praise the value of care in the workplace. However, they overlook the conflict between caring for work and for coworkers, which resonates with the dilemma of care allocation highlighted by ethicists of care. Through an in-depth qualitative study of two organizations, we examine how this dilemma is confronted in everyday organizational life. We draw on the concept of boundary work to explain how employees negotiate the boundary of their caring responsibilities in ways that grants or denies (...) care to coworkers. We argue that the possibility of an ethics of care for coworkers requires boundary work that suspends the separation of personal and professional selves and constitutes the worker as a whole person. We contribute to research on care in organizations by showing how care for coworkers may be enabled or undermined by maintaining or suppressing the care allocation dilemma. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Isaac Barrow on the Mathematization of Nature: Theological Voluntarism and the Rise of Geometrical OpticsAntoni MaletIntroductionIsaac Newton’s Mathematical Principles of Natural Philosophy embodies a strong program of mathematization that departs both from the mechanical philosophy of Cartesian inspiration and from Boyle’s experimental philosophy. The roots of Newton’s mathematization of nature, this paper aims to demonstrate, are to be found in Isaac Barrow’s (1630–77) philosophy of the mathematical sciences.Barrow’s attitude (...) towards natural philosophy evolved from his earnest interest in medicine of around 1650, when a young Cambridge graduate, to natural philosophy (apparently under Henry More’s influence); from his thesis on the insufficiency of the Cartesian hypothesis to geometrical optics and the strong program of mathematization of natural philosophy of the middle 1660s; from Lucasian professor of Mathematics to Chaplain of his Majesty and eminent Restoration divine. Contemporary accounts of Barrow’s life suggest that he grew ever more skeptical about the worth of natural philosophy and mathematics. 1 In his last years he became a prolific [End Page 265] author of sermons and theological works. Published shortly after his death by John Tillotson (1630–94), later archbishop of Canterbury, they occupy over two thousand folio pages. Overloaded with involved philosophical arguments, Barrow’s sermons were apparently not very popular, but they were highly regarded by scholars and the Anglican hierarchy. 2 It is on certain of his sermons, as well as on the philosophical discussions contained in the Mathematical Lectures that our account of Barrow’s philosophy of the mathematical sciences will rest. 3 Barrow’s understanding of the mathematical sciences will allow us to discuss together three issues often analyzed independently: the theological background to English natural philosophy, the changing notion of mixed mathematical sciences during the seventeenth century, and finally the philosophical foundations of modern geometrical optics.It has long been recognized that significant relationships exist between theological voluntarism or intellectualism and views on natural philosophy. In particular Robert Boyle’s theological voluntarism is seen as grounding his experimentalist approach to natural philosophy. It is not quite so clear, however, how well theological voluntarism may relate to a strong program of mathematization such as the one embodied in Newton’s Principia Mathematica. In fact it has been suggested that the relationship is a negative one. This is derived from the necessary character of mathematical laws, which would put unwanted restrictions on God’s absolute dominion over nature, and also from the notion that theological intellectualism is conducive to a deductive, a priori science—the paradigm of which is of course geometry. However, Barrow’s theological voluntarism lead him to heighten the role of mathematics within natural philosophy.During the seventeenth century the so-called mixed or subalternate mathematical sciences changed profoundly. In the Enlightenment mixed mathematics—meaning above all rational mechanics—became one of the most prestigious and influential disciplines. The mixed mathematics of the Enlightenment, however, was markedly different from the Aristotelian [End Page 266] mixed mathematical sciences. The differences are noticeable both in the subject matter and in the substitution of mathematical infinitesimal analysis for geometrical synthesis, but also in the way of grounding mathematical theory on empirical evidence. Barrow’s Mathematical Lectures (delivered at Cambridge from 1664 to 1666) offer a fresh insight into the metamorphosis of these sciences just when Newton’s “mathematical principles” were in the making. Not the least interesting feature of Barrow’s discussion is that God’s omnipotence allows an evaluation of the truth of mathematical theories that do not apply to this world. Therefore, Barrow is led to introduce the distinction between the internal consistency, or mathematical truth, of a mathematical theory and its physical truth. This, in turn, leads him to the notion that theories need testing.Barrow on Matter and GodRecent literature has established significant correlations between theological voluntarism and empiricism, as well as between theological intellectualism and rationalism. As E. B. Davis writes, “the Christian doctrine of creation is a dialogue between God’s unconstrained will, which utterly transcends the bounds of human comprehension, and God’s orderly intellect, which serves as the model for the human mind.” Intellectualist theology considers God’s omniscience His... (shrink)

In Bangladesh due to improved quality of life the number of people over 60 years is increasing rapidly. This should be seen as an emerging challenge as the elderly will have special needs and require different care-giving services. Since Bangladesh does not have a social welfare system there will be competition for inadequate resources specially health and medical services. It is envisaged that due to more elderly population the demographic structure will undergo a slow change from the present pyramid structure. (...) The growing trend towards nuclear family or where children live abroad will put the elderly parents in a dilemma-the financial and social support that is essential for them has not yet emerged. The nutrition and health status of elderly people depend on adequate food safe water, proper sanitation facilities and maintaining hygienic standards. To provide special medical care for the elderly there is a need to establish WHO recommended Age-Friendly Primary Health Care centers and separate wards /units are to be set up in the hospitals. To reduce vulnerability of older women there is a need to distribute assets and properties according to the law.. Our new generations have to be responsive, informed and attentive about their duties and responsibilities towards the elderly people. Taking proper care of the elderly is our ethical duty and responsibility. (shrink)

L’article passe en revue le développement de l’histoire des femmes au Moyen Âge en Espagne depuis ses origines, la fin des années 1970, et discute l’influence que les thèses de Georges Duby ont exercée sur elle. Il relève que les regards venus de l’étranger ont contribué à discréditer et faire abandonner les préoccupations nationalistes qui avaient longtemps obsédé l’historiographie autochtone jusque dans la façon d’envisager et représenter les femmes. Le long et fécond parcours de l’histoire des femmes dans les vingt (...) dernières années est alors examiné, depuis l’orientation fondamentalement juridique et positiviste qui a marqué ses débuts jusqu’aux recherches récentes sur l’identité et la subjectivité féminines ou aux polémiques sur le pouvoir des femmes et leur participaton à la vie politique. La portée des thèses de G. Duby dans cette évolution ainsi que les critiques qu’elles se sont attirées sont finalement considérées. (shrink)

L’article passe en revue le développement de l’histoire des femmes au Moyen Âge en Espagne depuis ses origines, la fin des années 1970, et discute l’influence que les thèses de Georges Duby ont exercée sur elle. Il relève que les regards venus de l’étranger ont contribué à discréditer et faire abandonner les préoccupations nationalistes qui avaient longtemps obsédé l’historiographie autochtone jusque dans la façon d’envisager et représenter les femmes. Le long et fécond parcours de l’histoire des femmes dans les vingt (...) dernières années est alors examiné, depuis l’orientation fondamentalement juridique et positiviste qui a marqué ses débuts jusqu’aux recherches récentes sur l’identité et la subjectivité féminines ou aux polémiques sur le pouvoir des femmes et leur participaton à la vie politique. La portée des thèses de G. Duby dans cette évolution ainsi que les critiques qu’elles se sont attirées sont finalement considérées. (shrink)

Management and organization researchers are being called to conduct research that is more caring, yet the concept of care and how to practice it within the profession is undertheorized. Adopting a feminist epistemology and methodology, we develop the concept of care by weaving the personal, ethical, and political into the research process. First, we reflect critically on how aspects of care—attentiveness, responsibility, competence, and responsiveness (Tronto, Moral boundaries: a political argument for an ethic of care, Routledge, 1993; Tronto, Caring democracy: (...) markets, equality, and justice, New York University Press, 2013)—unfolded in our personal research experiences, and secondly, we conduct a review of articles published in management and organization studies and analyse expressed or concealed conceptions of care in scholars’ accounts of research purpose and ethics. We find three ethical sensibilities at the heart of enacting care: encountering the ‘other’, interpreting roles and responsibilities, and deliberating needs and resources. We contribute to a feminist research ethics by highlighting issues related to care that are concealed in dominant ethos guiding management and organization research. Further, we develop methodological insights for implementing an ethic of care as an alternative ethical standpoint in business research ethics. Finally, we provide suggestions for how to embed more care within research ethics practices in academic institutions. (shrink)

In this paper we show that the quasivariety generated by an infinite simple MV-algebra only depends on the rationals which it contains. We extend this property to arbitrary families of simple MV-algebras.

Care—concern for and attending to the needs of the particular other we take responsibility—requires enacting time in a way that clashes with the industrial ‘clock time’ dominating our lives. Ethicists of care have highlighted the tensions between the temporalities involved in caring as a situated, relational and processual practice and the organization of care work according to standardized clock time. Yet, the practice of care work within bureaucratic work organizations seems to reconcile temporal demands of care and clock time. In (...) this article, we build on Barbara Adam’s concept of ‘timescape’ (Adam, Timewatch: The social analysis of time, Polity, 1995; Adam, Time, Polity, 2004) to inquire how care workers juggle apparently conflicting temporalities. Through a participant observation study of a child protection agency in France, we discover that care workers ‘trick’ time by carving out care timescapes that resist the clock—time as continuous, non-standardized, and in the present moment—while utilizing the structure of clock time in the form of ‘scheduling work’ to negotiate for and safeguard the process time they needed to ensure the provision of appropriate, ethical care. Confirming the centrality of time to ethical practices in organizations, our study further evidences and elucidates the intricate relations between clock time and process time in the ethical practice of care. (shrink)

This paper contributes to the promotion of multidisciplinary research on ethical consumerism by providing experimental evidence on consumer's willingness to reward sellers by paying higher wages to their workers. We analyze repeated interactions occurring between workers, sellers, and consumers within the framework of an experimental market. By successfully performing a task, workers allow sellers to offer a good through a market. Sellers set the price of goods and decide the wages of workers. Consumers enter the market sequentially and decide whether (...) to accept one of the offers or to leave the market. Our data show that, especially in the first periods of the experiment, some sellers opt to pay high wages to their workers. However, this behavior is not rewarded by consumers, whose purchasing choices are almost exclusively driven by self‐interest. In our interpretation, the connection between workers and sellers that connotes our experimental design, with workers who allow sellers to enter the market, may induce consumers to believe that eventual sacrifices for paying high wages to workers must be entirely on sellers. Our result suggests that the more salient is made the importance of some stakeholders in allowing the firm's activity, the fewer consumers' may be willing to sacrifice their monetary payoff to improve these stakeholders' condition. (shrink)

Physicians are frequently consulted by people with physical symptoms that, after having ruled out an "organic" pathology, we suspect they are related to the most frequent psychological conditions in the usual consultation: the various forms of reaction to severe stress (Acute Stress Reaction and Adjustment Disorder, from ICD 11), "functional" pathologies, burn out syndrome, and anxiety disorders, especially Generalized Anxiety Disorder, with or without associated depression. They are usually given a brief explanation about these problems and how they affect their (...) health, given a brochure, or suggested a website with information. And then they are encouraged to visit a mental health practitioner. But there are some challenges to this seemingly simple scenario:Not all patients are ready or willing to hear that their health problem might be related to their life or emotions. Many are strongly influenced by mind-body dualism. Others have an intuition that such a relationship exists but bringing that to consciousness is not an easy process, because it can awaken emotions that are difficult to handle. This is quite frequent in people suffering chronic anxiety (DSM-5 Generalized Anxiety Disorder) who prefer to consult medical providers rather than psychologists (Wittchen H. U. et al. 2002), because they do not consider their constant and excessive worry to be related to their discomfort. In their worrying they are hoping for a straightforward solution. Often these patients ask th... (shrink)

The dichotomy between the qualitative and the quantitative has been a classic throughout the history of science. As will be seen, this dichotomy permeates all ontological levels of reality. In this work, phenomenological examples potentially related to semiosis are presented at the different levels established by Mario Bunge and Josep Ferrater Mora, contrasting the qualitative categorizations with the quantifiable physical reality. Likewise, the need to continue in the quantification of the biosemiotic and linguistic studies will be presented, while, in contrast, (...) the need to establish a qualitative framework in the little-addressed study of technosemiotics will be raised, of potential interest given the notable advances that are expected in communication systems for inert artifacts in the next years. In short, in the thesis defended here the qualitative precedes the quantitative in the defining path of science. (shrink)

El objetivo de este artículo es analizar qué tipo de respuesta al escepticismo filosófico podemos esperar de los llamados argumentos transcendentales. La conclusión general es que los argumentos transcendentales no son capaces de neutralizar las dudas escépticas en tanto que formulaciones verbales de posibilidades lógicas. Ahora bien, teniendo en cuenta que el escéptico no puede presentar sus dudas significativamente, parece que sólo tiene tres opciones: dudar con la ayuda de un silencio místico, dudar usando las palabras de una manera metafórica (...) o evocativa, o dudar usando las palabras con sentido literal pero siendo consciente de estar diciendo algo sin sentido. En suma: la duda escéptica nunca puede tener el valor de una duda real. (shrink)

Building on the discussion between Stephen Darwall and Michael Tomassello, we propose an alternative evolutionary account of moral motivation in its two-pronged dimension. We argue that an evolutionary account of moral motivation must account for the two forms of moral motivation that we distinguish: motivation to be partial, which is triggered by the affective relationships we develop with others; and motivation to be impartial, which is triggered by those norms to which we give impartial validity. To that aim, we present (...) the second-person standpoint of morality, first as Darwall conceives of it, and then as we reinterpret it from a naturalistic approach. Then we synthesize Tomasello’s evolutionary account of morality, and Darwall’s objections to it. To reply to those objections, building on Tomasello’s proposal, we argue that the motivation to be impartial, and the feeling of obligation to comply with normative requirements, appeared when humans anticipated and, critically, internalized others’ sanctions to the violation of social norms. Consequently, we posit that social norms and sanctions appeared first at the community level, and only after that were they internalized in the form of self-directed reactive attitudes. Finally, we derive some corollaries that follow from our proposal. (shrink)

In this paper, we take Darwall’s analytical project of the second-person standpoint as the starting point for a naturalistic project about our moral psychology. In his project, Darwall contends that our moral notions constitutively imply the perspective of second-personal interaction, i.e. the interaction of two mutually recognized agents who make and acknowledge claims on one another. This allows him to explain the distinctive purported authority of morality. Yet a naturalized interpretation of it has potential as an account of our moral (...) psychology. We propose a naturalistic interpretation of Darwall’s work to address some of the main issues about our moral psychology. First, we explain why moral norms motivate us; namely, because of these second-personal relations. We provide a naturalized version of this solution. Second, we articulate how intersubjective interactions take place effectively; grounding duties to particular other subjects, and being related to distinctive moral emotions. Third, we address the question of the limits of the moral community, proposing that it comprises all agents capable of second-personal interactions. Finally, we explain the emergence of community norms through intersubjective interaction. Since all group members can adopt alternatively the second-personal stance to each other, demands are sanctioned and recognized in a triangulation process which explains the emergence of group norms. (shrink)

Se presentan las ideas centrales y la estructura del libro de Diana I. Pérez y Antoni Gomila Social Cognition and the Second Person in Human Interaction (Routledge, 2021).

In this paper we prove that the equational class generated by bounded BCK-algebras is the variety generated by the class of finite simple bounded BCK-algebras. To obtain these results we prove that every simple algebra in the equational class generated by bounded BCK-algebras is also a relatively simple bounded BCK-algebra. Moreover, we show that every simple bounded BCK-algebra can be embedded into a simple integral commutative bounded residuated lattice. We extend our main results to some richer subreducts of the class (...) of integral commutative bounded residuated lattices and to the involutive case. (shrink)

This book is a unique exploration of the idea of the "second person" in human interaction, the idea that face-to-face interactions involve a distinctive form of reciprocal mental state attributions that mediates their dynamical unfolding. Challenging the view of mental attribution as a sort of "theory of mind", Pérez and Gomila argue that the second person perspective of mental understanding is the conceptually, ontogenetically, and phylogenetically basic way of understanding mentality. Second person interaction provides the opportunity for the acquisition of (...) concepts of mental states of increasing complexity. The book reviews the growing interest in a variety of second person phenomena, both in development and in adulthood, presenting research that shows how participants in human interaction attribute psychological states of a referentially transparent kind to each other. This review documents the spontaneous preference for face-to-face interaction, from eye contact to joint attention, from forms of vitality to communicative intentions, from interaction detection to joint action, and from synchrony to interpersonal coordination. Also looking at the implications and applications of the second person perspective within fields as diverse as art and morality, this book is fascinating reading for students and academics in social and cognitive psychology, cognitive science, neuroscience, and philosophy. (shrink)

We show that externalization is a feature not only of moral judgment, but also of value judgment in general. It follows that the evolution of externalization was not specific to moral judgment. Second, we argue that value judgments cannot be decoupled from the level of motivations and preferences, which, in the moral case, rely on intersubjective bonds and claims.

Emotional contagion is a phenomenon that has attracted much interest in recent times. However, the main approach on offer, the mimicry theory, fails to properly account for its many facets. In particular, we focus on two shortcomings: the elicitation of emotional contagion is not context-independent, and there can be cases of emotional contagion without motor mimicry. We contend that a general theory of emotion elicitation is better suited to account for these features, because of its multi-level appraisal component. From this (...) standpoint, emotional contagion is viewed as a particular kind of emotional response that involves the same components and processes of emotional responses in general. (shrink)

Large exchange markets, big money, interest-bearing credit, big landholdings, proletarian masses, imperial expansion and even ‘capital’ or ‘salaried workers’, are not in themselves specific, unique institutional features of Modern Capitalism. This article argues that the features that characterize Modern Capitalism are a massive emergence of ‘free’, monetized wage labour, a self-propelled rush to unbounded world expansion and the progressive conversion of expropriated and privatized land into a monetized commodity, as well as a radically new use of the ancestral social institutions (...) of money and credit as an instrument for financing the production of commodities to obtain a surplus in the form of monetary profit, but also to generate expropriatory social debt relations. This article explains these dynamic historical forces and their importance for political philosophy and for legal and economic history and economics and sheds some light on the relationship between ‘capitalism’ and ‘modernity’. (shrink)

Liberal theology was a characteristic that stood out in Bultmann's day. Several questions arise: Who is Rudolf Karl Bultmann? How did Bultmann and his thinking demotologi? What are Bultmann's works? How Demithologization and Its Impact on 21st Century Era Christianity? The solution is: (1) Bultman is a New Testament figure based on his form criticism. (2) The demotology says that the entire New Testament is a myth. Especially the stories about the Lord Jesus. He argued that the experiences of the (...) Lord Jesus' ministry, his miracles, death, and resurrection, were stories fabricated by the early church. Biblical evangelicals believe in the invalidity of the Bible and all supernatural events that are recorded in the Bible, both the Old Testament, as well as the events of the preaching of the Word carried out by the Lord Jesus Christ and the Rulers, accompanied by a statement of power, is a truth that also makes sense. Christian faith, cannot accept unreasonable things.Bultmann'sdemitologization should not be taken as a theology, but as a discourse of seeking the truth with no clear origin, a thought for those who do not know God, namely vain thoughts, dark understanding. (shrink)

In this paper we characterize, classify and axiomatize all axiomatic extensions of the IMT3 logic. This logic is the axiomatic extension of the involutive monoidal t-norm logic given by ¬φ3 ∨ φ. For our purpose we study the lattice of all subvarieties of the class IMT3, which is the variety of IMTL-algebras given by the equation ¬(x 3) ∨ x ≈ ⊤, and it is the algebraic counterpart of IMT3 logic. Since every subvariety of IMT3 is generated by their totally (...) ordered members, we study the structure of all IMT3-chains in order to determine the lattice of all subvarieties of IMT3. Given a family of IMT3-chains the number of elements of the largest odd finite subalgebra in the family and the number of elements of the largest even finite subalgebra in the family turns out to be a complete classifier of the variety generated. We obtain a canonical set of generators and a finite equational axiomatization for each subvariety and, for each corresponding logic, a finite set of characteristic matrices and a finite set of axioms. (shrink)

Abordamos aquí los diferentes comentarios críticos sobre las ideas centrales del libro Social Cognition and the Second Person in Human Interaction. En primer lugar, aclaramos algunos aspectos de la propuesta: la relación entre las interacciones de la segunda persona y las expresiones corporales de los estados psicológicos atribuidos y el papel que éstas tienen en la adquisición de los conceptos psicológicos más básicos. A continuación precisamos el sentido en que las atribuciones de la segunda persona son prácticas y transparentes. Por (...) último, destacamos el papel ubicuo de la normatividad en las interacciones de la segunda persona, enfatizando las asimetrías que existen en estas relaciones y mostramos por qué sostenemos que no hay interacciones desprovistas de normatividad a las que ésta posteriormente se les añade. (shrink)

The aim of this paper is to give a description of the free algebras in some varieties of Glivenko MTL-algebras having the Boolean retraction property. This description is given (generalizing the results of [9]) in terms of weak Boolean products over Cantor spaces. We prove that in some cases the stalks can be obtained in a constructive way from free kernel DL-algebras, which are the maximal radical of directly indecomposable Glivenko MTL-algebras satisfying the equation in the title. We include examples (...) to show how we can apply the results to describe free algebras in some well known varieties of involutive MTL-algebras and of pseudocomplemented MTL-algebras. (shrink)

The classical Glivenko theorem asserts that a propositional formula admits a classical proof if and only if its double negation admits an intuitionistic proof. By a natural expansion of the BCK-logic with negation we understand an algebraizable logic whose language is an expansion of the language of BCK-logic with negation by a family of connectives implicitly defined by equations and compatible with BCK-congruences. Many of the logics in the current literature are natural expansions of BCK-logic with negation. The validity of (...) the analogous of Glivenko theorem in these logics is equivalent to the validity of a simple one-variable formula in the language of BCK-logic with negation. (shrink)

Lattice BCK logic is the expansion of the well known Meredith implicational logic BCK expanded with lattice conjunction and disjunction. Although its natural axiomatization has three rules named modus ponens, ∨‐rule and ∧‐rule, we show that we can give an equivalent presentation with just modus ponens and ∧‐rule, however it is impossible to obtain an equivalent presentation with modus ponens as unique rule. In this paper we study and characterize all axiomatic extensions of lattice BCK logic with modus ponens as (...) unique rule. We obtain an infinite chain of proper axiomatic extensions with this property. Moreover, we prove that there is no weakest axiomatic extension of Lattice BCK‐logic admitting modus ponens as unique rule. (shrink)

In this paper we discuss Prinz’s Kantian arguments in “Is Empathy Necessary for Morality?”. They purport to show that empathy is not necessary for morality because it is not part of the capacities required for moral competence and it can bias moral judgment. First, we show that even conceding Prinz his notions of empathy and moral competence, empathy still plays a role in moral competence. Second, we argue that moral competence is not limited to moral judgment. Third, we reject Prinz’s (...) notion of empathy because it is too restrictive, in requiring emotional matching. We conclude that once morality and empathy are properly understood, empathy’s role in morality is vindicated. Morality is not reduced to a form of rational judgment, but it necessarily presupposes pro-social preferences and motivation and sensitivity to inter-subjective demands. (shrink)

The aim of this paper is to give a description of the free algebras in some varieties of Glivenko MTL-algebras having the Boolean retraction property. This description is given (generalizing the results of [9]) in terms of weak Boolean products over Cantor spaces. We prove that in some cases the stalks can be obtained in a constructive way from free kernel DL-algebras, which are the maximal radical of directly indecomposable Glivenko MTL-algebras satisfying the equation in the title. We include examples (...) to show how we can apply the results to describe free algebras in some well known varieties of involutive MTL-algebras and of pseudocomplemented MTL-algebras. (shrink)

Using the theory of BL-algebras, it is shown that a propositional formula ϕ is derivable in Łukasiewicz infinite valued Logic if and only if its double negation ˜˜ϕ is derivable in Hájek Basic Fuzzy logic. If SBL is the extension of Basic Logic by the axiom (φ & (φ→˜φ)) → ψ, then ϕ is derivable in in classical logic if and only if ˜˜ ϕ is derivable in SBL. Axiomatic extensions of Basic Logic are in correspondence with subvarieties of the (...) variety of BL-algebras. It is shown that the MV-algebra of regular elements of a free algebra in a subvariety of BL-algebras is free in the corresponding subvariety of MV-algebras, with the same number of free generators. Similar results are obtained for the generalized BL-algebras of dense elements of free BL-algebras. (shrink)

AbstractŁukasiewicz implication algebras are {→,1}-subreducts of Wajsberg algebras (MV-algebras). They are the algebraic counterpart of Super-Łukasiewicz Implicational logics investigated in Komori, Nogoya Math J 72:127–133, 1978. The aim of this paper is to study the direct decomposability of free Łukasiewicz implication algebras. We show that freely generated algebras are directly indecomposable. We also study the direct decomposability in free algebras of all its proper subvarieties and show that infinitely freely generated algebras are indecomposable, while finitely free generated algebras can be (...) only decomposed into a direct product of two factors, one of which is the two-element implication algebra. (shrink)

We give a presentation of Post algebras of ordern+1 (n1) asn+1 bounded Wajsberg algebras with an additional constant, and we show that a Wajsberg algebra admits a P-algebra reduct if and only if it isn+1 bounded.

In the last chapter of In the beginning was the deed: realism and moralism in political argument, Williams raised the question of truthfulness in politics and warned that the media, particularly, television, and the market of communication in general, work in ways contrary to truthfulness -understood as the combination of the virtues of sincerity and accuracy. In this paper we would like to carry on Williams’ line of thinking in connection with the impact of the new social media platforms on (...) politics. Where Williams focused on television, we will consider the impact of the internet public sphere. After reviewing how the digital social media encourages motivated reasoning in general, we propose to focus on two main phenomena derived from it: the rise of conspiracy theories and the moralization of politics. Conspiracy theories epitomize the risk of self-deception Williams was concerned to signal. On the other hand, the process of moralization of politics triggers sectarianism and hate for the “others”, the outgroup. Both phenomena are not exclusive of the internet sphere, but both are boosted by it, and entail a lack of interest in truth and truthfulness, and in this way they threaten the value of truth for democracy. (shrink)

This paper proposes an hermeneutic interpretation of the fragmentary discourse of one of the authors of reference of the critical theory. The analysis develops from the theory of the incomplete translation of Benjamin. The Benjamin style of writing and its thesis in constant review process can be understood as precursors of the deconstruction. Our hypothesis is that this special Benjamin position is not developed by chance, but it is the result of a specific way of understanding the construction of the (...) critical theory. (shrink)

Let ${\mathbb{BRL}}$ denote the variety of commutative integral bounded residuated lattices (bounded residuated lattices for short). A Boolean retraction term for a subvariety ${\mathbb{V}}$ of ${\mathbb{BRL}}$ is a unary term t in the language of bounded residuated lattices such that for every ${{\bf A} \in \mathbb{V}, t^{A}}$ , the interpretation of the term on A, defines a retraction from A onto its Boolean skeleton B(A). It is shown that Boolean retraction terms are equationally definable, in the sense that there is (...) a variety ${\mathbb{V}_{t} \subsetneq \mathbb{BRL}}$ such that a variety ${\mathbb{V} \subsetneq \mathbb{BRL}}$ admits the unary term t as a Boolean retraction term if and only if ${\mathbb{V} \subseteq \mathbb{V}_{t}}$ . Moreover, the equation s(x) = t(x) holds in ${\mathbb{V}_{s} \cap \mathbb{V}_{t}}$ . The radical of ${{\bf A} \in \mathbb{BRL}}$ , with the structure of an unbounded residuated lattice with the operations inherited from A expanded with a unary operation corresponding to double negation and a a binary operation defined in terms of the monoid product and the negation, is called the radical algebra of A. To each involutive variety ${\mathbb{V} \subseteq \mathbb{V}_{t}}$ is associated a variety ${\mathbb{V}^{r}}$ formed by the isomorphic copies of the radical algebras of the directly indecomposable algebras in ${\mathbb{V}}$ . Each free algebra in such ${\mathbb{V}}$ is representable as a weak Boolean product of directly indecomposable algebras over the Stone space of the free Boolean algebra with the same number of free generators, and the radical algebra of each directly indecomposable factor is a free algebra in the associated variety ${\mathbb{V}^{r}}$ , also with the same number of free generators.A hierarchy of subvarieties of ${\mathbb{BRL}}$ admitting Boolean retraction terms is exhibited. (shrink)