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).

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.

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)

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 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)

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 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.

Few accounts have survived detailing the techniques employed for the production of optical glass for astronomical and microscopical instruments during the seventeenth century in Italy; the period during which the art was being developed in the shops of Eustachio Divini and Giuseppe Campani, and other optical instrument-makers. Indeed, few of the tools of the lens-makers have been described in any detail, and few if any have survived. Consequently, the discovery of a hitherto apparently unknown Italian treatise, or what appears to (...) have been notes for a shop manual of the period, is a contribution to present knowledge of lens-making technology even though the identity and region of the author remain unknown. (shrink)

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)

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)

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)

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.

Heideggers Kritik am Nationalsozialismus ist vor allem ab 1963 greifbar in Vorträgen, Vorlesungen (zu Nietzsche) und den "Beiträgen zur Philosophie". Entgegen Thesen der jüngsten Heidegger-Kontroverse hat sich Heidegger nach einer Phase der falschen politischen Besetzung seiner Philosophie im Jahre 1933 vor allem ab 1936 von der Bewegung des Nationalsozialismus gelöst. Er begreift den Nationalsozialismus zunehmend klar als eine Erscheinungsform des Nihilismus, der "Seinsverlassenheit" und des Herrschaftsdenkens des reinen "Willens zur Macht". Dabei geht Heideggers subtile philosophische Kritik des Nationalsozialismus über in (...) eine Kritik der neuzeitlichen Technologie als einer sich fortsetzenden Form planetarischen Herrschaftsdenkens und der Ausbeutung der Erde durch den Menschen. (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.

Reflete-se sobre visões hegemônicas que, desde as primeiras elaborações imaginárias de um possível mundo ocidental no quarto século a.C., distorceram a imagem de povos africanos e sustentaram processos de colonização sob essa égide de pensamento.. Essas visões são fábulas, correspondendo a efabulações sobre a(s) África(s), africanos, descendentes. Existe um mundo fascinado há milênios por outro. Esse mundo fascinado e imaginado, o Ocidente, explorou e assumiu a narrativa sobre vários outros mundos, esmaecidos, rasurados, reinterpretados pela memória europeia, seja por traçados territoriais (...) ou da narrativa histórica. O Ocidental se contrapôs, assim, ao Oriental, também esmaecido. O que seriam Oriente e Ocidente? Assim como não existe raça, mas existe racismo, talvez não existam Ocidentes e Orientes, mas Ocidentalismos e Orientalismos. Cabe perguntar: sob esses imaginários, onde fica a África(s), que se situa e se perde entre os “ismos” elaborados, em lugar avesso à ideia de civilização, de não-Ocidente, de não-Oriente, de “um não-lugar”? Essa África imaginada enfeitiça o Ocidente e ao mesmo tempo é por ele metamorfoseada. O romance O Asno de Ouro, do africano Apuleio (Século II d. C.), servirá de pretexto para a reflexão sobre essa metamorfose. (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)

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.

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.

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.

O presente artigo tenciona apresentar algumas considerações sobre a atual conjuntura política e social do Brasil, enfatizando uma perspectiva que leva em conta a centralidade das periferias metropolitanas na vida social do país. A presença e influência do cristianismo evangélico - em ascensão demográfica, cultural e política -, bem como de novos padrões de sociabilidade constituídos e irradiados a partir da dinâmica social decorrente dos conflitos violentos entre as forças policiais e militares e facções do crime organizado são considerados vetores (...) explicativos indispensáveis na compreensão da realidade social contemporânea do país e são lidos desde a experiência etnográfica do autor enquanto professor no Complexo do Chapadão, na periferia do Rio de Janeiro. (shrink)

I propose to show in this paper how Bosanquet’s aesthetics, in certain of its aspects, conditions William Temple’s reflection on art — a reflection which occupies a central position in Temple’s “Christo-centric metaphysics,” and which finds expression particularly in Mens Creatrix. Bosanquet’s influence becomes still more evident if we compare Temple’s position with the philosophy of art which R.G. Collingwood delineated in the initial phase of his thought, above all in Speculum Mentis and Outlines of a Philosophy of Art.

Name der Zeitschrift: Nietzscheforschung Jahrgang: 23 Heft: 1 Seiten: 325-327.

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)