The aim of this paper is to investigate the variety of symmetric closure algebras, that is, closure algebras endowed with a De Morgan operator. Some general properties are derived. Particularly, the lattice of subvarieties of the subvariety of monadic symmetric algebras is described and an equational basis for each subvariety is given.

In this paper we extend Mundici's functor? to the category of monadic MV- algebras. More precisely, we define monadic?- groups and we establish a natural equivalence between the category of monadic MV- algebras and the category of monadic?- groups with strong unit. Some applications are given thereof.

In this paper we prove that the free pseudocomplemented residuated lattices are decomposable if and only if they are Stone, i.e., if and only if they satisfy the identity ¬ x ∨ ¬¬ x = 1. Some applications are given.

In this paper we study some questions concerning Łukasiewicz implication algebras. In particular, we show that every subquasivariety of Łukasiewicz implication algebras is, in fact, a variety. We also derive some characterizations of congruence permutable algebras. The starting point for these results is a representation of finite Łukasiewicz implication algebras as upwardly-closed subsets in direct products of MV-chains.

Łukasiewicz implication algebras are the {→,1}-subreducts of MV- algebras. They are the algebraic counterpart of Super-Łukasiewicz Implicational Logics investigated in Komori (Nogoya Math J 72:127–133, 1978). In this paper we give a description of free Łukasiewicz implication algebras in the context of McNaughton functions. More precisely, we show that the |X|-free Łukasiewicz implication algebra is isomorphic to ${\bigcup_{x\in X} [x_\theta)}$ for a certain congruence θ over the |X|-free MV-algebra. As corollary we describe the free algebras in all subvarieties of Łukasiewicz (...) implication algebras. (shrink)

Łukasiewicz 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)

El ser en su riqueza se expresa en el lenguaje que emana también del ser. El lenguaje emergió de su olvido en la filosofía griega, gracias a las ideas cristianas de encarnación y trinidad que le hicieron más justicia. El mayor milagro del lenguaje no estriba en que la palabra aparezca en su ser externo, sino en el hecho de que lo que emerge y se manifiesta sea siempre palabra. La vuelta de Gadamer al final de Verdad y método, en (...) torno a la evidencia de que el ser de lo bello consiste en presentarse, ilustra la estructura universal del ser mismo. Apalabrar a lo que es el ser mismo. Lo que determina y hace posible la interpretación es el presentarse del ser de lo que es. Being in its richness expresses itself in language, which itself emanates from Being. Language emerged from its oblivion in Greek philosophy thanks to the Christian ideas of incarnation and trinity, which did it more justice. Language's greatest miracle does not rest on the fact that the word appears in its external being, but on the fact that that which emerges and manifests itself is always word. Gadamer's turn at the end of Truth and Method, regarding the evidence according to which beauty's being consists of presenting itself, illustrates the universal structure of Being itself. Bespeaking what is Being itself. What determines and make possible interpretation is the presentation itself of the being of what is. (shrink)

In this paper we prove that the free algebras in a subvariety equation image of the variety equation image of semi-Heyting algebras are directly decomposable if and only if equation image satisfies the Stone identity.

The pressure for publication is ever present in academe. Rules for submission are elucidated by conferences, proceedings and journals for the benefit of authors; however, the rules for reviewers and editors are not so well established or consistent. This treatise examines examples of abuse of the editorial process and points to a need for formal recognition of rules for review. The manuscript culminates with proposed Codes of Ethics for researchers, referees and editors and suggestions for improvement of the peer review (...) process. (shrink)

In this paper we continue the study of the variety \ of monadic Gödel algebras. These algebras are the equivalent algebraic semantics of the S5-modal expansion of Gödel logic, which is equivalent to the one-variable monadic fragment of first-order Gödel logic. We show three families of locally finite subvarieties of \ and give their equational bases. We also introduce a topological duality for monadic Gödel algebras and, as an application of this representation theorem, we characterize congruences and give characterizations of (...) the locally finite subvarieties mentioned above by means of their dual spaces. Finally, we study some further properties of the subvariety generated by monadic Gödel chains: we present a characteristic chain for this variety, we prove that a Glivenko-type theorem holds for these algebras and we characterize free algebras over n generators. (shrink)

ABSTRACT The variety O2 of double Ockham algebras consists of the algebras of type where and are Ockham algebras. In [16], M. Sequeira introduced several subvarieties of O2. In this paper we give a construction of free double Ockham algebras on a partially ordered set. We also describe free objects for the subvarieties of O2 considered in [16].

This paper responds to the issues raised by D. Chalmers by offering a research direction which is quite radical because of the way in which methodological principles are linked to scientific studies of consciousness. Neuro-phenomenology is the name I use here to designate a quest to marry modern cognitive science and a disciplined approach to human experience, thereby placing myself in the lineage of the continental tradition of Phenomenology. My claim is that the so-called hard problem that animates these Special (...) Issues can only be addressed productively by gathering a research community armed with new pragmatic tools for the development of a science of consciousness. I will claim that no piecemeal empirical correlates, nor purely theoretical principles, will really help us at this stage. We need to turn to a systematic exploration of the only link between mind and consciousness that seems both obvious and natural: the structure of human experience itself. In what follows I motivate my choice by briefly examining the current debate about consciousness at the light of Chalmer’s hard problem. Next, I outline the phenomenological strategy. Finally I conclude by discussing some of the main difficulties and consequences of this strategy. (shrink)

Against the background of the current European competitive media landscape, the media are more and more compelled to legitimize their activities in their own national context as well as at a European level. Meanwhile, the nature of the media diversity in The Netherlands has changed tremendously; from a society divided along political and religious lines, it has evolved towards a multi-ethnic society. Hence, both the conceptualizing and operationalizing of media diversity from an academic as well as a media practical perspective (...) prove to be hot topics. An expert meeting was held at the Department of Communication at Radboud University Nijmegen in December 2004 in which the contours of media diversity in general and in The Netherlands in particular were explored. Institutional performance as well as program-related aspects linked to the notion of media diversity were discussed. Media diversity was explored from the angle of media economics as well as from the perspective of the program/format level. In addition, the audience reception perspective as well as methodologically problematic aspects one encounters when measuring media diversity were assessed. What follows here is a selection of several most pertinent views on this complex topic. We welcome each critical insight from other geographical contexts which might stimulate the debate on measures of open and reflective diversity in the media. (shrink)

In this paper, the structure of a southeastern Spanish population was studied for the first time with respect to its inbreeding patterns and its relationship with demographic and geographic factors. Data on consanguineous marriages from 1900 to 1969 were taken from ecclesiastic dispensations. Our results confirm that the patterns and trends of inbreeding in the study area are consistent with those previously observed in most non-Cantabrian Spanish populations. The rate of consanguineous marriages was apparently stable between 1900 and 1935 and (...) then sharply decreased since 1940, which coincides with industrialization in Spain. A marked departure from Hardy-Weinberg expectations in the ratio of first cousin to second cousin marriages in the study population was observed. The high levels of endogamy and its significant steadiness throughout the twentieth century is noteworthy. Accordingly, our results show that exogamous marriages were not only poorly represented but also that this reduced mobility suggests that the choice of a mate was preferentially local. We found higher mobility in M22 with respect to M33 cousin mating. The relationships between population size and consanguinity rates and inbreeding fit power-law distributions. A significant positive correlation was observed between inbreeding and elevation. Many Spanish populations have experienced a prolonged and considerable isolation across generations, which has led to high proportions of historical and local endogamy that is associated, in general, with high \ values. Thus, assessing genomic inbreeding using runs of homozygosity in current Spanish populations could be an additional pertinent strategy for obtaining a more refined perspective regarding the population history inferred from the extent and frequency of ROH regions. (shrink)

This paper responds to the issues raised by D. Chalmers by offering a research direction which is quite radical because of the way in which methodological principles are linked to scientific studies of consciousness. Neuro-phenomenology is the name I use here to designate a quest to marry modern cognitive science and a disciplined approach to human experience, thereby placing myself in the lineage of the continental tradition of Phenomenology. My claim is that the so-called hard problem that animates these Special (...) Issues can only be addressed productively by gathering a research community armed with new pragmatic tools for the development of a science of consciousness. I will claim that no piecemeal empirical correlates, nor purely theoretical principles, will really help us at this stage. We need to turn to a systematic exploration of the only link between mind and consciousness that seems both obvious and natural: the structure of human experience itself. In what follows I motivate my choice by briefly examining the current debate about consciousness at the light of Chalmer’s hard problem. Next, I outline the phenomenological strategy. Finally I conclude by discussing some of the main difficulties and consequences of this strategy. (shrink)

The author reconstructs the theory of F. Varela with relevance to the hard problem of consciousness. This problem was touched by Varela in relatively late period of his work. However, the implications for dissolution of this problem can be found in his earlier works with H. Maturana. Theory of autopoietic systems ties life and cognition together, resulting in natural historical comprehension of consciousness and its functioning. Autopoiesis, understood as network of processes of production of components used as resources (...) for maintaining these processes, sets organizational invariances, distinguishing living system from its milieu. The main criterion of living system is an ability to maintain autopoietic organization while undergoing structural transformations with environment. Structural plasticity leads to multiple realizability of autopoietic organizations, which, in turn, leads to radical conclusion on nature of knowledge. One can distinguish the knower and the known only contingently, as the structure of knowledge reflects cognitive structure of the knower. This intertwinement permits Varela to introduce the enactivist program, which presupposes not simply reform in the scientific research of consciousness but also rethinking the implications of scientific knowledge itself. Cognition is a sensorimotor constitution of the world. Therefore, consciousness is not an object of material nature among other objects but provides our cognitive access to nature. Varela intended to abandon the theoretical approach to the problem of consciousness. His aim was not to provide a new argument. This is a consequence of the enactivist position which, according to theory of autopoiesis, must be applicable to the knower himself. (shrink)

In _Michael Polanyi and His Generation_, Mary Jo Nye investigates the role that Michael Polanyi and several of his contemporaries played in the emergence of the social turn in the philosophy of science. This turn involved seeing science as a socially based enterprise that does not rely on empiricism and reason alone but on social communities, behavioral norms, and personal commitments. Nye argues that the roots of the social turn are to be found in the scientific culture and political events (...) of Europe in the 1930s, when scientific intellectuals struggled to defend the universal status of scientific knowledge and to justify public support for science in an era of economic catastrophe, Stalinism and Fascism, and increased demands for applications of science to industry and social welfare. At the center of this struggle was Polanyi, who Nye contends was one of the first advocates of this new conception of science. Nye reconstructs Polanyi’s scientific and political milieus in Budapest, Berlin, and Manchester from the 1910s to the 1950s and explains how he and other natural scientists and social scientists of his generation—including J. D. Bernal, Ludwik Fleck, Karl Mannheim, and Robert K. Merton—and the next, such as Thomas Kuhn, forged a politically charged philosophy of science, one that newly emphasized the social construction of science. (shrink)

The purpose of this article is to show that the ethics presented in Ricœur’s Oneself as Another can and must be thought in relation to the anthropology and ontology that the philosopher has gradually developed from the time of his first great phenomenological philosophical project through to his mature work. In order to outline this approach of relating the onto-anthropological foundations to Ricœur’s ethics, we start with Ricœur’s early texts where he develops a long meditation on the risk implied by (...) the act of freedom: the risk of being oneself, of deciding and acting in the world with and for others. Then, our analysis focuses on the Ricœurian conception of consent and affectivity to see the extent to which it is able to shed light on the development of ethics and the notion of the ethical subject in the context of the hermeneutical phenomenology of Ricœur. The article thus takes us from an analysis of the question of “I can” and “I want” in Freedom and Nature: the Voluntary and the Involuntary, through Fallible Man to finally end with an examination of the “acting and suffering” human being found in Oneself as Another. (shrink)