Sufficient syntactic conditions for canonicity in intermediate and intuitionistic modal logics are given. We present a new technique which does not require semantic first-order reduction and which is constructive in the sense that it works in an intuitionistic metatheory through a model without points which is classically isomorphic to the usual canonical model.

Aquí lo que me interesa es, primero, distinguir dos problemas de justificación con respecto a la inferencia inductiva: por un lado, el de una justificación persuasiva de este tipo de inferencia y, por otro lado, el de una justificación explicativa de tal inferencia. En segundo lugar, intento mostrar que el argumento de Ramsey-de Finetti a favor de las reglas inductivas de la lógica bayesiana no es capaz de proporcionar una justifi-cación persuasiva de estas reglas. Finalmente, propongo una justificación explicativa para (...) las reglas de condicionalización bayesianas en términos de un argumento trascendental de inspiración kantiana y de estilo davidsoniano.Here, I am interested, firstly, in distinguishing two justification problems concerning inductive inference: on the one hand, the problem of a persuasive justification of induction and, on the other, the problem of an explicative justification of this sort of inference. Secondly, I intend to show that Ramsey-de Finetti’s argument in favor of Bayesian inductive rules cannot provide a persuasive justification for these rules. Finally, I propose an explicative justification for Bayesian conditionalization rules in terms of a transcendental argument of Kantian inspiration and Davidsonian style. (shrink)

By means of models in toposes of C-sets (where C is a small category), necessary conditions are found for the minimum quantified extension of a propositional (intermediate, modal) logic to be complete with respect to Kripke semantics; in particular, many well-known systems turn out to be incomplete.

The logicD-J of the weak exluded middle with constant domains is proved to be incomplete with respect to Kripke semantics, by introducing models in presheaves on an arbitrary category. Additional incompleteness results are obtained for the modal systems with nested domains extendingQ-S4.1.

By using some classical reasoning we show that any countably presented formal topology, namely, a formal topology with a countable axiom set, is spatial.

The role played by continuous morphisms in propositional modal logic is investigated: it turns out that they are strictly related to filtrations and to suitable variants of the notion of a free algebra. We also employ continuous morphisms in incremental constructions of (standard) finitely generated free ????4-algebras.

The pandemic period has placed the organizations in a state of great tension. It has generated a situation of confusion, lack of rules, and production-related criticalities that have called into question the very existence of many productive realities. This article aims to highlight the dimensions of care and ethics put in place by HR managers in COVID-19. The objective that animated the authors have focused on the HRM level of medium and large companies in Italy to highlight the protective actions (...) toward people and the organization in the period COVID 19, highlighting what were the ethical values and actions of care put in place. In this article, we wanted to give voice to managers who had management tasks in their organizations by asking them to tell us how they dealt with the challenges imposed by the emergency. In the research, we start from a way of understanding workplaces understood as a “process of ongoing social relationship” within which the HR function is dedicated to the care of the quality of relationships. HR managers have to manage a complex role of mediating between the interests of people and employers by trying to find good mediations. (shrink)

We show that some common varieties of modal K4-algebras have finitary unification type, thus providing effective best solutions for equations in free algebras. Applications to admissible inference rules are immediate.

We show that the variety of Heyting algebras has finitary unification type. We also show that the subvariety obtained by adding it De Morgan law is the biggest variety of Heyting algebras having unitary unification type. Proofs make essential use of suitable characterizations (both from the semantic and the syntactic side) of finitely presented projective algebras.

This article argues that we cannot separate theology on the one hand and politics, law and economy on the other when trying to understand how to deal with religious and cultural diversity. Through an historical examination of the formation of the right to religious liberty in the West, it shows that the European secular state is still deeply indebted with its theological presuppositions. This conclusion explains why systems of religiously based personal regimes are much less widespread in Europe than in (...) other parts of the world. It also suggests that the best way to manage cultural and religious diversity in Europe consists in strengthening the pluralistic components of the European legal systems, as already shown by recent reforms in the field of family and commercial law. (shrink)

Vision is the main entrance for environmental input to the human brain. Even if vision is our most used sensory modality, its importance is not limited to environmental exploration. Rather it has strong links to motor competences, further extending to cognitive and social aspects of human life. These multifaceted relationships are particularly important in developmental age and become dramatically evident in presence of complex deficits originating from visual aberrancies. The present review summarizes the available neuropsychological evidence on the development of (...) visual competences, with a particular focus on the associated visuo-motor integration skills in health and disease. With the aim of supporting future research and interventional settings, the goal of the present review is to constitute a solid base to help the translation of neuropsychological hypotheses into straightforward empirical investigations and rehabilitation/training protocols. This approach will further increase the impact, ameliorate the acceptance, and ease the use and implementation of lab-derived intervention protocols in real-life situations. (shrink)

O Argumento da Terra Gêmea Moral (ATGM) é o desafio semântico central para o Realismo Moral Naturalista (RMN). À fim de evitar tal problema, os defensores do RMN têm articulado uma série de réplicas ao ATGM. Neste artigo, abordo algumas dessas réplicas e defendo a tese de que elas não refutam o ATGM. Considero duas propostas em específico: o Argumento da Tradução, de D. Copp, e o Argumento do Fim da Investigação Moral, de A. Viggiano. Apresento essas objeções, mostro em (...) que sentido pretendem responder ao ATGM e argumento que cada uma delas é vulnerável a vários problemas. Concluo que os ataques de Copp e Viggiano ao ATGM devem ser recusados e que o desafio semântico ao RMN persiste. (shrink)

En el siglo XX, se ha intentado articular el convencionalismo lingüístico de maneras distintas. Uno de los enfoques más prometedores fue el que propuso David Lewis a finales de los años 60 e inicio de los 70. Lewis subsume las regularidades convencionales que subyacen a la actividad de hablar un lenguaje bajo los estados de equilibrio más generales que resultan de cualquier tipo de comportamiento cooperativo racional. En este artículo propongo que, pese a su atractivo, las convenciones lewisianas deberían ser (...) abandonadas a favor del convencionalismo lingüístico del segundo Wittgenstein. Mi motivación para recomendar tal giro es que la propuesta de Lewis no es capaz de ofrecer una respuesta satisfactoria a la objeción de Donald Davidson, de acuerdo con la cual la teoría convencionalista de Lewis no puede explicar la ocurrencia sistemática de malapropismos en nuestro uso ordinario del lenguaje. En las últimas secciones del artículo, me dedico a mostrar cómo las convenciones wittgensteinianas sí pueden explicar el fenómeno de los malapropismos. (shrink)

Michael Beaney ha sugerido recientemente que la distinción fregeana entre sentido y referencia fue propuesta para resolver la famosa paradoja del análisis. Casi diez años antes, Michael Dummett ya insistia en que Frege fue uno de los prirneros en buscar una soluci6n satisfactoria de esta paradoja. En esre articulo, discuto algunas sugerencias de Beaney y Dummett de cómo resolver la paradoja al estilo fregeano y tarnbién sus propias contribuciones no fregeanas al debate en torno de la corrección y de la (...) informatividad del análisis. Mi intención en esta discusión es mostrar que ninguna de ellas funciona. Concluyo con una propuesta de inspiración witttgensteiniana --el enfoque de los conceptos abiertos- para apoyar la idea de que la apelación a contertidos abiertos es la rnejor rnanera de disolver la paradoja.Michael Beaney has recently suggested that the Fregean distinction between sense and reference was proposed to solve the famous paradox of analysis. Not as recently, Michael Dummett has insisted that Frege was one of the first to look for a satisfactory solution to this paradox. In this paper, I discuss Beanry’s and Dummett’s various suggestions for solving the paradox in a Fregean style as well as their own non Fregean contributions to the debate around analysis’s correction and informativeness. My intention in this discussion is to show that none of them works. I conclude with a proposal inspired by Wittgenstein’s later work -the open concepts’ proposal- designed to support the idea that the appeal to open contents is the best way to dissolve the paradox. (shrink)

According to Michael Dummett, deductive inference stands in need of justification which must be provided by the theory of meaning for natural language. Such a theory, he insists, should deliver an explanation for the two essential features of deduction: validity and fruitfulness. Dummett claims that only a molecularist theory of meaning could offer the desired justification. In this paper, I will consider and criticize his solution to the problem of the justification of deduction: the so-called molecular verificationist explanation. My aim (...) here will be to show that Dummett's solution does not succeed in reconciling the conflicting demands of the respective explanations of validity and fruitfulness. (shrink)

We characterize (both from a syntactic and an algebraic point of view) the normal K4-logics for which unification is filtering. We also give a sufficient semantic criterion for existence of most general unifiers, covering natural extensions of K4.2⁺ (i.e., of the modal system obtained from K4 by adding to it, as a further axiom schemata, the modal translation of the weak excluded middle principle).

Die Entwicklung der Rationalität ist eine Erfolgsgeschichte. Denn die Rationalität war und ist der Motor der abendländischen Kultur und der Grund dafür, dass sie in der Neuzeit allen anderen Weltkulturen machtpolitisch überlegen ist. Zwischen dem 8. und 6. Jahrhundert v. Chr. formierte sich das logische Denken gleich auf mehreren Feldern: Durch die Erfindung der philosophischen Wissenschaft, die Geometrisierung des Raumes und der Schlachtordnung, die Berechnung der Zeit, durch die Geldwirtschaft und die neuen Organisationsformen des Politischen wurde Rationalität zum Synonym für (...) Fortschritt. Auch die Begriffe Freiheit und Demokratie gehören in diesen Zusammenhang. Silvio Vietta zeichnet diese Erfolgsgeschichte nach, beschreibt aber auch ihre Gefahren und Kurzschlüsse. In der Konsequenz entwickelt er eine : ndere9 aisthetisch rückgebundene und reflexive Rationalität, die uns aus den gegenwärtigen Krisen herausführen könnte. (shrink)

This article suggests developing the concept of spiritual ecology into that of balanced spiritual ecosystems. Philosophies, theologies, education systems, political parties, and gender-based and ethnic identity politics need to be critiqued both from within and without so that they can finally contribute to the creation, maintenance and flourishing of balanced spiritual ecosystems.Contribution: Spiritual ecology is a concept on which converge different worldviews. This article recommends using balanced spiritual ecosystems, instead. The new concept could provoke further reflection on how our -ontologies (...) and communities co-exist and whether they do it organically and spiritually. This article befits HTS’s interest in ‘theology and nature’. (shrink)

We investigate finitarity of unification types in locally finite varieties of Heyting algebras, giving both positive and negative results. We make essential use of finite dualities within a conceptualization for E-unification theory 733–752) relying on the algebraic notion of a projective object.

El artículo pretende analizar el concepto de utopía como central en la teoría crítica de Herbert Marcuse (1898-1979). En primer lugar, abordaremos el debate que el autor desarrolla con Max Horkheimer. En el ensayo fundamental «Teoría tradicional y teoría crítica», Horkheimer subraya la importancia de la utopía para construir una imagen del futuro, pero desconfía de las potencias utópicas y de sus vínculos idealistas. En «Filosofía y teoría crítica» (1937), Marcuse responde a esta postura: la teoría crítica no debe temer (...) a la utopía. En lugar de dejarla para un futuro incierto, Marcuse señala que las promesas utópicas ya se ofrecen en el presente y que el pensamiento crítico también debe tomar nota de ello. Años más tarde (1967), Marcuse reconoce el cambio de la perspectiva utópica basada en la sociedad del trabajo. Con la tecnología, las relaciones sociales se transforman. Pero esto no significa que las energías utópicas estén agotadas, como afirma Jürgen Habermas. Por el contrario, son muchas las luchas sociales que surgen en este periodo. En fin, con Marcuse, las energías utópicas se renuevan, recuperando un nuevo sentido de libertad y necesidad que surge de estas luchas. 190-206. (shrink)

This text through the direct use to Foucault’s work and using the concepts of ‘care of the self’ and biopolitics is questioning and analyzing resistance and practices of freedom. Mainly, from the Foucault’s courses at the College de France and the methodological tools found there, here I present a discussion about Gilles Deleuze’s contributions to Foucault’s thought and I develop a dialog where I try to explain the concepts of domination, power, ethics, esthetics and the relationship of the self with (...) himself. (shrink)

La dicotomia tra sapere e sapienza, presente fin dai primordi nella speculazione, ritorna prepotentemente alla ribalta nell’attuale contesto, assumendo spesso una connotazione fortemente interdisciplinare. I contributi accolti nel volume rappresentano, nella loro eterogeneità (che spazia dall’ambito filosofico a quello giuridico, a quello sociologico e a quello del linguaggio espressivo) un momento di riflessione odierna sulla dicotomia sopra indicata, in cui l’approccio sincronico si alterna a quello diacronico e in cui alla prospettiva analitico-ricognitiva si accompagna quella ermenuetico-interpretativa.

This paper discusses an argument for scientific realism put forward by Anthony Quinton in The Nature of Things. The argument – here called the controlled continuity argument – seems to have received no attention in the literature, apparently because it may easily be mistaken for a better-known argument, Grover Maxwell’s “argument from the continuum”. It is argued here that, in point of fact, the two are quite distinct and that Quinton’s argument has several advantages over Maxwell’s. The controlled continuity argument (...) is also compared to Ian Hacking’s “argument from coincidence”. It is pointed out that both arguments are to a large extent independent from considerations about high-level scientific theories, and that both are abductive arguments at the core. But these similarities do not dilute an important difference related to the fact that Quinton’s argument cleverly seeks to anchor belief in unobservable entities in realism about ordinary objects, which is a position shared by most contemporary scientific anti-realists. (shrink)

The philosophy of mathematics of the later Wittgenstein is normally not taken very seriously. According to a popular objection, it cannot account for mathematical necessity. Other critics have dismissed Wittgenstein's approach on the grounds that his anti-platonism is unable to explain mathematical objectivity. This latter objection would be endorsed by somebody who agreed with Paul Benacerraf that any anti-platonistic view fails to describe mathematical truth. This paper focuses on the problem proposed by Benacerraf of reconciling the semantics with the epistemology (...) for mathematics. It is claimed that there is a way of solving Benacerrafs problem along the lines suggested by Wittgenstein's later remarks on mathematics. This will require demonstrating that a satisfactory conception of mathematical objectivity can be extracted from his mature philosophy. (shrink)

We show that (contrary to the parallel case of intuitionistic logic, see [7], [4]) there does not exist a translation fromS42 (the propositional modal systemS4 enriched with propositional quantifiers) intoS4 that preserves provability and reduces to identity for Boolean connectives and.

Este artigo descreve e comenta a criação, por parte de Allan Kardec, de um complexo arcabouço de divulgação de sua produção no novo campo de estudos a que denominou “Espiritismo”, ou “ciência espírita”. Embora não fazendo parte do mundo acadêmico, no sentido institucional do termo, o pesquisador francês efetivamente se aproximou, no desenvolvimento dessa interface com o público, daquilo que à época começava a se tornar padrão nas áreas mais maduras da ciência. Criou uma sociedade de estudos, a Sociedade Parisiense (...) de Estudos Espíritas, em que fatos, hipóteses e métodos eram apresentados e discutidos, antes de eventualmente serem incorporados em textos e divulgados mais amplamente. Para essa divulgação, conjugou a publicação de livros temáticos a uma revista de assuntos espíritas gerais, a Revista Espírita, para veicular ensaios e resultados preliminares, servindo também de via de mão dupla para a interação com assinantes e correspondentes, interessados em contribuir com a elaboração da teoria espírita. Dado, porém, que o Espiritismo não era, nem pretendia ser, uma disciplina científica inserida no meio acadêmico oficial, existem diversas diferenças entre essas duas instituições espíritas e suas análogas na academia. Estas diferenças são aqui apontadas, explicadas e justificadas, como aspectos típicos do programa kardequiano. (shrink)

We provide a new and elementary proof of strong normalization for the lambda calculus of intersection types. It uses no strong method, like for instance Tait-Girard reducibility predicates, but just simple induction on type complexity and derivation length and thus it is obviously formalizable within first order arithmetic. To obtain this result, we introduce a new system for intersection types whose rules are directly inspired by the reduction relation. Finally, we show that not only the set of strongly normalizing terms (...) of pure lambda calculus can be characterized in this system, but also that a straightforward modification of its rules allows to characterize the set of weakly normalizing terms. (shrink)

In this paper we present a general theory of normal forms, based on a categorial result for the free monoid construction. We shall use the theory mainly for proposictional modal logic, although it seems to have a wider range of applications. We shall formally represent normal forms as combinatorial objects, basically labelled trees and forests. This geometric conceptualization is implicit in and our approach will extend it to other cases and make it more direct: operations of a purely geometric and (...) combinatorial nature will be introduced in order to give a mathematical description of the basic logical/algebraic constructions .We begin by recalling the above-mentioned categorial construction: we need a careful inspection of it because in the various examples considered later we plan to deduce from it in a uniform way the normal forms and the description of finitely generated free algebras. This method always works whenever we can describe the category of algebras corresponding to the logic under consideration as a T-objects category. When this simple description seems not to be available, still the general theory might be of some interest, because a description of the category of algebras as a T-objects category plus equation is possible .The central part of the paper is more advanced and specific: we show how the general approach presented here can provide some insights even in the basic case of the modal system K. Section 4 contains a contribution to the theory of normal forms, namely the description of the uniform substitution. This result will enable us to give a duality theorem for the category of finitely generated free modal algebras and in Section 5 to provide a characterization of the collections of normal forms which happen to be normal forms for a logic, thus giving a description of the lattice of modal logics.Section 6 deals with some applications: we shall show how to use normal forms in order to prove for the modal system K the definability of higher-order propositional quantifiers and of the tense operator F .As to the prerequisites, the paper is almost self-contained. The reader is only assumed to have familiarity with standard techniques in algebraic logic ). Knowledge of the basic facts about adjoint functors is required too, see e.g. McLane or the appendix. (shrink)

A. M. Pitts in [Pi] proved that HA op fp is a bi-Heyting category satisfying the Lawrence condition. We show that the embedding $\Phi: HA^\mathrm{op}_\mathrm{fp} \longrightarrow Sh(\mathbf{P_0,J_0})$ into the topos of sheaves, (P 0 is the category of finite rooted posets and open maps, J 0 the canonical topology on P 0 ) given by $H \longmapsto HA(H,\mathscr{D}(-)): \mathbf{P_0} \longrightarrow \text{Set}$ preserves the structure mentioned above, finite coproducts, and subobject classifier, it is also conservative. This whole structure on HA op (...) fp can be derived from that of Sh(P 0 ,J 0 ) via the embedding Φ. We also show that the equivalence relations in HA op fp are not effective in general. On the way to these results we establish a new kind of duality between HA op fp and a category of sheaves equipped with certain structure defined in terms of Ehrenfeucht games. Our methods are model-theoretic and combinatorial as opposed to proof-theoretic as in [Pi]. (shrink)

We prove a generalization of the hyper-game theorem by using an abstract version of inductively generated formal topology. As applications we show proofs for Cantor theorem, uncountability of the set of functions from N to N and Gödel theorem which use no diagonal argument.

ABSTRACT Metamorphosis is a term inherent to colonial reality in which ontological and identity paradigms and conceptions reveal a recurring question in African literature: Who am I? Based on this, this article aims to analyze the phenomenon of metamorphosis/transmutation as a characteristic of real-animist texts, which is an aesthetic consequence arising from the animistic conception of perceiving the world. We will discuss how the presence of the imaginary of traditional African religiosity translates into recurrent unusual episodes, such as transmutations, through (...) the works of African writers such as Nigerian Amos Tutuola, Angolan Décio Bettencourt, and Mozambican Mia Couto. Finally, we will observe that the presence of this phenomenon translates not only into a mythical imaginary but also into becoming-individual and becoming-nation in societies fragmented identity-wise by colonialism. (shrink)

*Doutor pela Universidade Estadual de Campinas. Professor da Universidade Estadual de Campinas. ** Docteur à la Université de Paris 8. Professeur de philosophie de l'éducation, Université de Rouen. Apoio: CAPES-COFECUB. A noção de diferença ganhou o mundo, no final do século vinte, e chegou ao campo teórico da educação e às escolas. Educar a diferença; educar na diferença; educar para a diferença passaram a ser palavras de ordem em planos de educação de órgãos governamentais, em projetos políticos pedagógicos de escolas, (...) em projetos de organizações não governamentais. Projetos multiculturais proliferam, culturas de paz, tolerância e convivência consensual são afirmadas nos mais diversos âmbitos. No caso específico do Brasil, a diferença passou a ser palavra-chave das políticas públicas, seja para embasar a pluralidade, seja para embasar a educação inclusiva. Mas uma pergunta se impõe: compreendemos, de fato, a diferença? Vivemos a diferença, ou ela está apenas em nossos discursos? Enfim: como nos relacionamos com as diferenças? A problemática tem ganhado diferentes contornos nos dois países nos últimos anos. No Brasil, as últimas duas décadas foram momento de desenvolvimento de políticas públicas de cunho afirmativo, centrados na perspectiva de uma educação inclusiva. Partia-se do princípio de que uma educação democrática deve estar aberta para todos, sem exceção, de modo que a escola deve ser o lugar da manifestação das diferenças, mas tratadas todas de modo igualitário. Diferenças sociais, de gênero, de cor, de cultura, de níveis e condições de aprendizagem devem conviver, num ato solidário de construção de uma cultura democrática comum. Mais recentemente, a emergência de uma onda neoconservadora tem colocado em questão alguns destes princípios e práticas, em reação contrária àquilo que vinha sendo produzido. Um exemplo são os esforços em diversas regiões do País para impedir que questões relativas ao gênero sejam trabalhadas nas escolas; e mesmo os debates colocados em pauta pelo movimento que se autodenomina “Escola sem partido”, que defende a prática de uma suposta “neutralidade” que, sabemos, é impossível no ato educativo. No contexto francês, a problemática assume outros contornos, mas também se reveste de especial importância. País com larga tradição republicana, que se traduz também no campo da educação, vive-se ali de forma intensa a problemática do convívio com imigrantes de diferentes culturas. Lembremos, por exemplo, da proibição do uso de véu islâmico pelas meninas nas escolas públicas, alguns anos atrás, sob a alegação de que a escola é laica e não pode admitir a ostentação de símbolos religiosos. É uma questão de desrespeito ao outro? De desrespeito à liberdade de crença? De desrespeito a uma cultura? Ou afirmação de uma pluralidade em que condições singulares não podem prevalecer sobre o global? Questões certamente polêmicas. E hoje, com a intensificação do movimento de refugiados pela Europa, a questão se vê acirrada. Forças nacionalistas defendem que se limite o acesso ao estrangeiro, ou que este se submeta aos princípios da cultura francesa; mas, anos atrás, filósofos como René Schérer e Jacques Derrida defendiam o princípio da hospitalidade, do acolhimento do outro como sendo um dos mais fundamentais de uma política republicana. Enfim, com histórias diferentes e com contextos muito diferenciados entre si, os dois países se veem confrontados com o dilema de como lidar com as diferenças, de como tratá-las no contexto escolar. O propósito deste dossiê é o de oferecer distintas abordagens conceituais do tema, evidenciando as contribuições que a Filosofia da Educação pode oferecer para pensar os problemas contemporâneos. Ele é fruto das ações de um projeto de cooperação internacional entre universidades brasileiras e universidades francesas financiado pelo acordo CAPES-COFECUB. O projeto se intitula Diferença, Pluralismo e Confiança em Educação e Formação, com vigência entre janeiro de 2015 e dezembro de 2018, e tem como objetivo central pensar conceitualmente estes temas, como forma de oferecer subsídios teóricos para o campo educativo, na interface Brasil-França. Data de registro: 17/05/2017 Data de aceite: 04/12/2016. (shrink)