This study investigates contemporary Mayan oral stories through the lens of Julian Jaynes's theory on the origin of consciousness, aiming to identify a potential connection between the literary elements of these narratives and traits of pre‐consciousness outlined by Jaynes. Jaynes's neuropsychological thesis argues that human consciousness emerged around 3000 years ago after a period of “bicameral mind,” characterized by auditory “hallucinations” that guided non‐habitual behavior. He claims that remnants of bicameral mentality linger to this day in all cultures. While his (...) theoretical framework has been applied to cultures in Europe, the Middle East, and Asia, this research uniquely surveys early Mayan texts and focuses on 78 oral narratives from Lake Atitlán, Guatemala. Our findings reveal traces of bicamerality, evident in the gradual fading of inner voices replaced by divination, anomalous mental states, encounters with the supernatural, and spiritual possession. Contrary to pathologizing these phenomena, the narratives often present them as abilities the Maya may not have felt culturally compelled to suppress to the extent presumed in other societies. (shrink)

Tarski's 1936 paper, “On the concept of logical consequence”, is a rather philosophical, non-technical paper that leaves room for conflicting interpretations. My purpose is to review some important issues that explicitly or implicitly constitute its themes. My discussion contains four sections: terminological and conceptual preliminaries, Tarski's definition of the concept of logical consequence, Tarski's discussion of omega-incomplete theories, and concluding remarks concerning the kind of conception that Tarski's definition was intended to explicate. The third section involves subsidiary issues, such as (...) Tarski's discussion concerning the distinction between material and formal consequence and the important question ofthe criterion for distinguishing between logical and non-logical terms.§1. Preliminaries. In this paper an argument is a two-part system composed of a set of propositions P and a single proposition c. The expression ‘c is a [logical] consequence of P’ is used with the same meaning as the expression ‘c is [logically] implied by P’. The expressions ‘is a logical consequence of’ and the converse ‘implies’ are relational. Often, I shall be talking in the same sense of validity of an argument. Validity is a property of arguments; an argument with premise-set P and conclusion c is valid if and only if P implies c; i.e., c is a logical consequence of P. Notice that this notion of argument is strictly ontic; it does not involve any agent that thinks, determines or establishes that a given proposition is or is not a consequence of a given set of propositions. (shrink)

The logic TM is the result of adding the mingle axiom, M to Ticket Entailment logic, T. In the present study, it is proved that TM has the variable-sharing property . Ternary relational semantics for TM is provided. Finally, an interesting extension of TM with the vsp is briefly discussed.

Each science has its own domain of investigation, but one and the same science can be formalized in different languages with different universes of discourse. The concept of the domain of a science and the concept of the universe of discourse of a formalization of a science are distinct, although they often coincide in extension. In order to analyse the presuppositions and implications of choices of domain and universe, this article discusses the treatment of omega arguments in three very different (...) formalizations of arithmetic. In Peano's formalization the domain is a restricted class of individuals, while the universe of discourse is the unrestricted class of all individuals. In Gödel's formalization the domain is a restricted class of individuals as in Peano's formalization, but the universe of discourse coincides with the domain. In Whitehead-Russell's formalization the domain is a class of logical notions in Tarski's sense, that are necessarily not individuals, whereas the universe of discourse is the unrestricted class of individuals as in Peano's formalization. The present approach emphasizes the viewpoint that the universe of discourse of a given discourse is important in determining which propositions are expressed by which sentences. (shrink)

A simple, bivalent semantics is defined for Łukasiewicz’s 4-valued modal logic Łm4. It is shown that according to this semantics, the essential presupposition underlying Łm4 is the following: A is a theorem iff A is true conforming to both the reductionist and possibilist theses defined as follows: rt: the value of modal formulas is equivalent to the value of their respective argument iff A is true, etc.); pt: everything is possible. This presupposition highlights and explains all oddities arising in Łm4.

Fitch´s problem and the "knowability paradox" involve a couple of argumentations that are to each other in the same relation as Cantor´s uncollected multitudes theorem and Russell´s paradox. The authors exhibit the logical nature of the theorem and of the paradox and show their philosophical import, both from an anti-realist and from a realist perspective. In particular, the authors discuss an anti-realist solution to Fitch´s problem and provide an anti-realist interpretation of the problematic statement "It is knowable that r is (...) known and yet unknown". Then, it is argued that the knowability paradox has a solution even if one adopts a realist point of view. The authors provide a solution that takes into account the ambiguity of the term 'knowability' by deploying a temporal possible world semantics for epistemic modalities. (shrink)

The aim of this paper is to define the logical system Sm4 characterised by the degree of truth-preserving consequence relation defined on the ordered set of values of Smiley’s four-element matrix MSm4. The matrix MSm4 has been of considerable importance in the development of relevant logics and it is at the origin of bilattice logics. It will be shown that Sm4 is a most interesting paraconsistent logic which encloses a sound theory of logical necessity similar to that of Anderson and (...) Belnap’s logic of entailment E. Intuitively, Sm4 can be described as a four-valued expansion of the positive fragment of Lewis’ S5 or, alternatively, as a four-valued version of S5. (shrink)

Suppose that we are interested in the average causal effect of a binary treatment on an outcome when this relationship is confounded by a binary confounder. Suppose that the confounder is unobserved but a nondifferential proxy of it is observed. We show that, under certain monotonicity assumption that is empirically verifiable, adjusting for the proxy produces a measure of the effect that is between the unadjusted and the true measures.

This paper offers a particular intuitionistic negation completion of Urquhart's system C resulting in a super-intuitionistic contractionless propositional logic equivalent to Dummett's LC without contraction.

Łukasiewicz presented two different analyses of modal notions by means of many-valued logics: the linearly ordered systems Ł3,..., Open image in new window,..., \; the 4-valued logic Ł he defined in the last years of his career. Unfortunately, all these systems contain “Łukasiewicz type paradoxes”. On the other hand, Brady’s 4-valued logic BN4 is the basic 4-valued bilattice logic. The aim of this paper is to show that BN4 can be strengthened with modal operators following Łukasiewicz’s strategy for defining truth-functional (...) modal logics. The systems we define lack “Łukasiewicz type paradoxes”. Following Brady, we endow them with Belnap–Dunn type bivalent semantics. (shrink)

Aunque Vico hace varias referencias a Hobbes creemos que en realidad nunca tuvo un estrecho conocimiento del filósofo inglés. Pensamos que no merece la pena realmente buscar similitudes o coincidencias generales en textos seleccionados. Pero sí creemos que sería interesante comparar ambas actitudes metodológicas, su esfuerzo común por establecer las bases de una ciencia civil invirtiendo la "jerarquía de la evidencia", esto es, llevando el nivel de la ciencia social a las matemáticas y trasladando las ciencias naturales al rango de (...) la hipótesis.Although Vico makes several references to Hobbes, we are of the opinion that he never really had a narrow knowledge of the English philosopher. We do not think it worth to lock for similarities through some selected passages or some general coincidences. But we do think it interesting to compare both methodological attitudes, their common efforts to establish the bases of a civil science by reversing the "jerarchy of evidence", that is, by bringing the level of social science to that of mathematics and shifting the natural sciences to the rank of hypothesis. (shrink)

In this paper, consistency is understood as absolute consistency (i.e. non-triviality). The basic constructive logic BKc6, which is adequate to this sense of consistency in the ternary relational semantics without a set of designated points, is defined. Then, it is shown how to define a series of logics by extending BKc6 up to contractionless intuitionistic logic. All logics defined in this paper are paraconsistent logics.

We present a memorial summary of the professional life and contributions to logic of John Corcoran. We also provide a full list of his many publications.Courtesy of Lynn Corcoran.

Over the last several years, predictive processing approaches to computational neuropsychiatry have been gaining explanatory traction. According to these accounts, some of the positive symptoms of schizophrenia arise from aberrant precision-weighting during hierarchical Bayesian inference. In contrast to computational approaches, the phenomenological tradition in psychiatry holds that disruptions or alterations of the self (Ichstörungen) lie at the core of schizophrenia. In this article, we aim to integrate these approaches. We align ourselves with the phenomenological insight that self-disturbances lie at the (...) core of schizophrenia and with the hierarchical conception of the self-model that emerges from the predictive processing architecture. We suggest that disruptions of the “hard core” of the narrative self-model might be partially involved in the generation of aberrant experiences and hyperreflexivity, and in some aspects of the sense of self-alienation and ambiguity that is characteristic of the phenomenology of schizophrenia. (shrink)

As is usually the case with other topics addressed by neuroethics, a rigorous analysis of neurorights requires an interdisciplinary approach. In response to this need and in the context of the global expansion of regulatory initiatives on neurorights, we coordinated, under the auspices of the International Center for Neuroscience and Ethics (CINET), an introductory course on neurorights from a neuroscientific perspective. The course, aimed at sixty students from diverse backgrounds (neuroscience, psychology, and law, among others), consisted of a 10-hr training (...) that showed the current approaches and discussions on neurorights and outlined cutting-edge technologies to register, analyze, and manipulate human brain activity from a realistic stance. The course succeeded in discarding some concerns and uncovering others not frequently found in the neurorights discussions. The most pressing issues identified were protecting brain data privacy, combating bias in algorithms used in neurotechnology, and improving informed consent mechanisms for interventions with invasive neuroscientific techniques. (shrink)

Genes are gained and lost over the course of evolution. A recent study found that over 1,800 new genes have appeared during primate evolution and that an unexpectedly high proportion of these genes are expressed in the human brain. But what are the molecular functions of newly evolved genes and what is their impact on an organism's fitness? The acquisition of new genes may provide a rich source of genetic diversity that fuels evolutionary innovation. Although gene manipulation experiments are not (...) feasible in humans, studies in model organisms, such as Drosophila melanogaster, have shown that new genes can quickly become integrated into genetic networks and become essential for survival or fertility. Future studies of new genes, especially chimeric genes, and their functions will help determine the role of genetic novelty in the adaptation and diversification of species. (shrink)

ABSTRACT The question of non-Western difference has come to feature prominently across the field of comparative rhetoric, where it is often presupposed that an irreducible difference separates Western from non-Western rhetorical and cultural production. It is on the basis of this presupposition that critics have established a politics of comparative inquiry, whereby restituting the pure consciousness of a non-Western subaltern subject is understood to subvert the hegemony of Western thought. But what exactly is the nature of this difference? In this (...) article I examine the recent turn toward Latin America in the field of comparative rhetoric to argue that this presupposition serves as a constitutive topos—that the object of Latin America is invented rhetorically in the very act of comparative inquiry—and that this presupposition yields a political impasse that the field has yet to think through. Drawing on recent work in Latin American studies, I argue for a rearticulated notion of subalternity as a methodological approach for dealing with this impasse. (shrink)

La existencia de evidentes semejanzas en cuestiones concretas entre las concepciones históricas y, sobre todo, entre algunos principios de la Muqaddimah de Ibn Jaldún y la Scienza Nuova de Vico, inducen a una puesta en confrontación de las principales ideas históricas de ambos pensadores. Considerando la distancia temporal de cuatro siglos entre el historiador magrebí y el filósofo napolitano, así como sus diferentes ámbitos culturales, se apuntan una serie de afinidades y de contrastes.The existence of plain resemblances on specific questions (...) between historical conceptions and more specially between some of the principles of Ibn Jaldún’s Muqaddimah and Vico’s Scienza Nuova might lead us to confront the two thinkers’ main conceptions. Taking into account both the four century temporal distance between the North-african thinker and the Neapolitan philosopher and the different background, there is an attempt to sketch a series of affinities and contrasts. (shrink)

For this issue of JBE, Zyphur and Pierides :1–16, 2017) have written a paper on a concept that they have labeled relational validity. The purpose of the paper and of their advocacy for the concept of relational validity is to improve the way that quantitative research is done by expanding our understanding of its ethics-laden aspects. I agree entirely with the authors that every decision regarding QR is an ethics-laden one and that our research as a whole would be improved (...) by recognition of this fact. I disagree with the authors regarding some of the ways that this improvement might be brought about. (shrink)

This article discusses two coextensive concepts of logical consequence that are implicit in the two fundamental logical practices of establishing validity and invalidity for premise-conclusion arguments. The premises and conclusion of an argument have information content (they ?say? something), and they have subject matter (they are ?about? something). The asymmetry between establishing validity and establishing invalidity has long been noted: validity is established through an information-processing procedure exhibiting a step-by-step deduction of the conclusion from the premise-set. Invalidity is established by (...) exhibiting a countermodel satisfying the premises but not the conclusion. The process of establishing validity focuses on information content; the process of establishing invalidity focuses on subject matter. Corcoran's information-theoretic concept of logical consequence corresponds to the former. Tarski's model-theoretic concept of logical consequence formulated in his famous 1936 no-countermodels definition corresponds to the latter. Both are found to be indispensable for understanding the rationale of the deductive method and each complements the other. This study discusses the ontic question of the nature of logical consequence and the epistemic question of the human capabilities presupposed by practical applications of these two concepts as they make validity and invalidity accessible to human knowledge. (shrink)

In their valuable call-for-action article, Wexler and Specker Sullivan (2023) propose an integration–inclusion–impact axis for “translational neuroethics,” to face the challenges and criticisms tha...

En su anterior estudio sobre la recepción de Vico en el s. XIX español, el autor analizó los casos de importantes intelectuales como Juan Donoso Cortés, Jaime Luciano Balmes, Juan Valera, Marcelino Menéndez Pelayo, Alfredo Adolfo Camus y Nicolás Serrano. Con ello se cumplió parte del plan de desmontar la tesis frecuentemente aceptada de una "ausencia" de Vico en España. Este plan se viene a desarrollar ahora con una nueva aportación investigadora en la que el autor muestra y analiza tres (...) importantes casos más de recepción viquiana: la del ecléctico historiador Fermin Gonzalo Morón, la del renovador neoescolástico Ceferino González, y la del fundador de la escuela jurídica catalana Manuel Durán y Bas. Con ellos el autor confirma su tesis de que Vico es apreciado, tanto desde la recepción positiva como desde la crítica, como un pensador modemo y heterodoxo de considerable valía.In his former paper on Vico’s reception during the XIX century in Spain, the author reviewed such significant intellectuals as Juan Donoso Cortés, Jaime Luciano Balmes, Juan Valera, Marcelino Menéndez Pelayo, Alfredo Adolfo Camus and Nicolás Serrano. In so doing, the task of dislodging the thesis so frequently held that there is a Vico’s "absence" in Spain was partially accomplished. This task is taken up again in a recent investigation where the author analyzes and assesses three further important cases related with the Spanish Vichian reception: that of eclectic historian Femín Gonzalo Morón, the neo-scholastic Ceferino González and finally the Catalan legal school founder Manuel Durán y Bas. With those examples the author aims to validate his claim that Vico was indeed acknowledged both as a modern and heterodox thinker by the positive as well as by the critical reception. (shrink)

This article reconstructs Herbert Marcuse’s first and widely ignored philosophical project, as set out in his texts published from 1928 to 1933. In these texts, Marcuse tried to put in dialogue ideas from Heidegger and Marx to articulate a dialectic phenomenology of historical existence. This attempt, of great originality and philosophical ambition, was marked by tensions arising from the peculiar status given to the ontology of historicity in a framework of thought that maintained strong links with Marx. By analysing this (...) early philosophical project of one of the icons of the international student movement, theoretical tensions can be detected, which clarify the subsequent approach of this thinker as a member of the so-called Frankfurt School. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Aristotle Rules, OK?José M. Villagrán (bio) and Rogelio Luque (bio)KeywordsAristotle, causes, philosophy, psychiatry, psychopathologyPérez-Alvarez, Sass, and García-Montes (2008) propose a theoretical approach to the nature of mental disorders (MD) that attempts to explain the type of reality they constitute. In line with this approach, they argue that (1) MDs should be considered not from within psychology and psychiatry, but rather from the realm of philosophy, so as to (...) avoid what they call the Charcot effect; (2) the resulting theoretical model is in contrast to naturalist models such as that of internal dysfunction, and involves “strong” constructivist assumptions from which they develop an anthropological perspective based on the clinician–patient situation; 3) this model is applicable, in principle, to all MDs (“at least to some extent”); and (4) it is based on the Aristotelian theory of the four causes.We would argue, however, that (1) it is precisely from within psychology and psychiatry that conceptual models accounting for MDs should be proposed; (2) the naturalist–constructivist dichotomy in these models should be deconstructed, and primacy given not to the ontological approach but to the epistemological one; (3) a theoretical model of this scope should account not only for MDs but also for physical disorders; and (4) only in this way would the Aristotelian theory of causes, understood as types of explanation (and therefore as epistemological approaches) be useful.Approaches from within and from WithoutFor Berrios (2006), the theoretical discourse in relation to the conceptualization of MDs in a particular sociocultural context can be formulated in two ways: on the one hand, in a centripetal fashion, using established philosophical systems (be it phenomenology [Jaspers 1977], logical empiricism [Hempel 1994], or analytic philosophy [Fulford, Thornton, and Graham 2006]). This centripetal approach can be used both by professional philosophers and by psychiatrists/psychologists. When developed by professional philosophers, such proposals, despite their possible brilliance, run the risk of being tangential to the psychiatric issues owing to a lack of first-hand experience of them (Murphy 2006). When developed by psychiatrists and psychologists, the majority of the proposals simply mix fragments of different philosophical systems, in either a kind of syncretism or collage that fails to take into account the contradictions between fragments, or a kind of pluralism that reflects, without entering into analysis, a sort of consensus among the different paradigms (Ghaemi 2003; Kendler 2005).A second way of formulating this theoretical discourse (according to Berrios) would employ a centrifugal approach from the very core of the disciplines, through the reflection of professionals (primarily, although not only, psychiatrists/psychologists with philosophical training) who would conceptualize the problems from within and develop a specific metalanguage for analyzing [End Page 265] them (Lanteri-Laura 1991; Reznek 1991; Sass 1992). Not all problems are of the same type. For those that are extrinsic to psychiatry/psychology (definition of the mental, the mind–body relationship, the distinction between causes and reasons, or interdisciplinary reduction), the methods common to the philosophy of science and of the mind can be used. However, issues intrinsic to the disciplines themselves (the nature of mental symptoms and how they are generated, how to explain their heterogeneity, what a MD is, how to diagnose and classify it, or how to implement a psychopathological project) cannot be dealt with using preestablished formulas, and require new and original proposals that take into account the nature of the disciplines and their object of study (Villagrán 2007).The authors of the target article base their preference for the centripetal approach for responding to one of the intrinsic questions of psychiatry (what MDs are) on the consequences of what they call the Charcot effect, a kind of variant of observer bias applied to psychiatric diagnosis. They offer as an example the classic diagnosis ad iuvantibus in its postmodern version, namely, the efficacy of the pharmaceutical industry in contributing to creating nosological entities for which their drugs are indicated. Consequently, clinicians are not only unable to surmount the substantial epistemological obstacles that hamper attempts to theorize, but also find themselves doomed to assuming an ingenuous essentialism that considers MDs as natural kinds (such as apples, trees, or dogs) determined... (shrink)

Volume 33, Issue 7, October 2020, Page 1045-1048.

Business Ethics, the Environment & Responsibility, EarlyView.

Scholars have long debated whether leader's integrity affects managerial decision making with respect to social responsibility. In this paper, we propose a model in which transformational leadership mediates integrity and corporate social responsibility and examine the relationship between these concepts. A survey of 170 senior managers from 50 organizations was conducted. Results indicate that integrity is a predictor of transformational leadership behavior and that transformational leaders’ behaviors are linked to CSR practices. It was also found that leaders rated with higher (...) integrity are engaged in CSR because they exhibit more transformational leadership behaviors. These findings add to the extant literature by demonstrating that integrity is important as transformational leaders engage more actively on ‘responsible’ behaviors. Practical implications call for an understanding among corporate leaders of the benefits of integrity and how it relates to transformational leadership. Organizations can improve their selection and leadership development processes by focusing on these two dimensions. (shrink)

We review the properties of Global Index Grammars (GIGs), a grammar formalism that uses a stack of indices associated with productions and has restricted context-sensitive power. We show how the control of the derivation is performed and how this impacts in the descriptive power of this formalism both in the string languages and the structural descriptions that GIGs can generate.

El cristianismo, obligado por la Modernidad, tuvo que hacer un desplazamiento desde el plano dogmático al plano moral; hoy estamos ante otro desplazamiento: el que va desde el terreno moral al místico. En este terreno dominará sobre todo la experiencia personal de la presencia salvífica de Dios en Cristo. Esa experiencia, vivida en medio del pluralismo, consistirá en una síntesis activa entre la Presencia y su interpretación . Este ensayo trata de diseccionar las dimensiones existenciales y lingüísticas de esa síntesis. (...) Después de ver por qué somos pobres en experiencia, se analizan los componentes y caracteres esenciales de toda experiencia religiosa A continuación se disecciona la estructura simbólica de esta experiencia , y su configuración mítico-narrativa Palabras clave: 'Hermenéutica de los símbolos'; 'Mitos'; 'Mundos ficcionales'; 'Hermenéutica narrativa'; 'Mundo del texto'; 'Apropiación del sentido'.Christianity forced by modernity had to make a shift from a dogmatic plane to a moral one; today, there is another shift which goes from a moral to a mystical ground. The personal experience of God’s saving presence in Christ will dominate, over all, in this field. That experience, lived in the midst of pluralism will consist of an active synthesis between the presence and its interpretation .This essay intends to dissect the linguistic and existential dimensions of this synthesis. After seeing why we are poor in experience, we will analyze the essential components and characteristics of the religious experience , and its mythical narrative configuration. (shrink)

Estudio bibliográfico de: / A Bibliographical Study of: G. Cacciatore, Storicismo problematico e metodo critico, Guida editori, Nápoles, 1993, pp. 426.

Vico permite repensar la condición problemática de la misma Modemidad en cuanto condición de "verosimile" , y cómo consecuentemente hay elementos viquianos para ofrecer una visión más amplia y plural de esta modemidad. Se intenta aportar, así, un elemento más para comprender la modemidad en su configuración problemática, apreciando cómo pronto en ella se procesan ya los elementos de la crisis de la racionalidad: dimensión en la que se hallan aspectos que, representados en las ideas de Vico, permiten "repensar" viquianamente, (...) desde la contemporánea racionalidad emergente de la crisis, esa condición problemática de la misma modernidad en esta actitud postcursora modema .Vico allows us to re-think the problematic condition of the very Modernity when regarded it as a condition of "verosimile" and consequently how we arrange Vichian elements in order to offer a wilder and manifold view of this very modemity. We try to suply in this way another element to understand modemity in its problematic background, seeing also within it how soon we can observe the elements of the crisis of racionality: a dimension in which there are same aspects which, embodied in Vico’s ideas, allow us in Vichian temrs and from the stand point of the racionality springing out of the crisis, that very same problematic condition of modernity in this "postcursor" modem atritude. (shrink)

The reductionist/anti-reductionist debate about testimonial justification (and knowledge) can be taken to collapse into a controversy about two kinds of underlying monitoring mechanism. The nature and structure of this mechanism remains an enigma in the debate. We suggest that the underlying monitoring mechanism amounts to emotion-based stereotyping. Our main argument in favor of the stereotype hypothesis about testimonial monitoring is that the underlying psychological mechanism responsible for testimonial monitoring has several conditions to satisfy. Each of these conditions is satisfied by (...) our “hot” stereotypical capacities. Intergroup emotions play a key role here. Intergroup emotions inform the agent about which candidate stereotype is better suited to the current situation. Emotions serve as evidence that makes a certain stereotype and its particular profile of features more or less expected. (shrink)

A marked feature of eukaryotic programmed cell death is an early drop in mitochondrial transmembrane potential. This results from the opening of permeability transition pores, which are composed of adenine nucleotide translocators and mitochondrial porins. The latter share striking similarites with bacterial porins, (including down‐regulation of their pore size by purine nucleotides), suggesting a common origin. The porins of some invasive bacteria play a crucial role during their accommodation inside the host cell and this co‐existence resembles the endosymbiotic origin of (...) mitochondria. The above observations suggest that early in eukaryotic evolution, former invaders may have used porin‐type channels to enter their host and to induce its death when the levels of its cytoplasmic purine nucleotides were dropped. The appearance of adenosine nucleotide translocators in the primitive eukaryotes, which permitted usage of the oxidative metabolism of the invaders, provided the basis for the permeability transition phenomena, now linked to the apoptotic process. Bcl‐2‐type molecules, being able to modulate the permeability transition pores by interaction with adenosine nucleotide translocators, may have played an essential role in conferring a means of controlling apoptosis. (shrink)

Let R+ be the positive fragment of Anderson and Belnap’s Logic of Relevance, R. And let RMO+ be the result of adding the Mingle principle ) to R+. We have shown in [2] that either a minimal negation or else a semiclassical one can be added to RMO+ preserving the variable-sharing property. Moreover, each of there systems is given a semantics in the Routley-Meyer style. In describing in [2] the models for RMO+ plus minimal negation, we noted that a similar (...) strategy would give us a semantics for R+ with minimal negation; that is, constructive R. The aim of this paper is to prove this claim. (shrink)