We present a generalisation of the type-theoretic interpretation of constructive set theory into Martin-Löf type theory. The original interpretation treated logic in Martin-Löf type theory via the propositions-as-types interpretation. The generalisation involves replacing Martin-Löf type theory with a new type theory in which logic is treated as primitive. The primitive treatment of logic in type theories allows us to study reinterpretations of logic, such as the double-negation translation.

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.

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).

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.

Queer theorists have long staked their politics in an engagement with intersectionality. Yet intersectional scholars have been some of queer theory’s most vocal critics, decrying its failure to adequately engage persistent inequalities. I approach this seeming paradox in three parts. First, I situate intersectionality within the field of critical theory, arguing that it shares critical theory’s view of power. Both traditions, I argue, understand power to generate the very marginalized figures that it subordinates. Second, while intersectional and queer theories share (...) this critical insight, the two frameworks offer fundamentally different understandings of what constitutes a democratic politics of redress. Where intersectional theorists promote coalition-building between differently marginalized subjects, queer theorists tend to figure sexually marginalized subjects as exemplary democratic agents. Finally, I argue that this slippage in conceptions of democracy has had negative consequences for critical theory and highlights the difficult but essential role of coalition as a political resource. (shrink)

De l'antiquité à la Renaissance, la notion de certitude est au coeur de la structuration de la pensée. Cet ouvrage réunit les contributions de spécialistes, qui explorent tous la littérature latine en mettant cette notion à l'épreuve de différentes disciplines et époques.

La traduction latine des Dialoghi della historia du philosophe néo-platonicien Francesco Patrizi da Cherso est publiée à Bâle en 1570. L’étude de la circulation de ce texte et des choix de traduction permet de mieux comprendre la réception des artes historicae italiennes dans le Nord de l’Europe et les fluctuations ou limites du latin face à la montée en puissance de l’italien vernaculaire comme langue philosophique.

This paper aims to show how at the end of the Sixteenth Century, translating in latin modern and comtemporary historiography, first written in Italian, had limits: as S. Lambino saw reading Nicola Stupan’s translation into latin of the Dialoghi della historia by Francesco Patrizi, the latin language could not carry out the vivacity and the colours of the modern discourse, and even could not translate exactly the meanings. The modern texts in this kind of translation could acquire a larger audience, (...) but could also lost part of their identity: in this case, the fact does not depend from the ability of the translator but actually from the convenience, or inconvenience, of the ancient language, unable to adapt exactly the modern concepts to ancient ways of thinking and writing. (shrink)

This article takes up the commonplace antagonism between ‘second wave’ lesbian feminism and ‘third wave’ queer theory and politics, and argues that the antagonism itself is both historically and politically reductive. First, I make the case that ‘third wave’ queer theory actually shares its central concern – namely, accountability for intra-group inequalities – with lesbian feminism. However, I argue that ‘third wave’ queer theories ultimately founder in their bid for a more reflexive political praxis by tending to hold others – (...) lesbian feminists – accountable for ongoing inequalities rather than grappling with them directly. By contrast, I show that lesbian feminists from the late 1970s to the late 1980s developed a reparative politics that succeeds where ‘third wave’ theories stumble by developing relationships of mutual accountability around issues of race and racism, and by establishing processes by which to repair these relationships when they founder. I conclude by arguing that a fuller attention to the history of lesbian feminism, in fact, offers important resources for feminists and queers dealing with issues of intra-group marginalization, such as transphobia, in the present. (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)

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 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.

We define and investigate Heyting-valued interpretations for Constructive Zermelo–Frankel set theory . These interpretations provide models for CZF that are analogous to Boolean-valued models for ZF and to Heyting-valued models for IZF. Heyting-valued interpretations are defined here using set-generated frames and formal topologies. As applications of Heyting-valued interpretations, we present a relative consistency result and an independence proof.

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

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.

We introduce type-theoretic algebraic weak factorisation systems and show how they give rise to homotopy-theoretic models of Martin-Löf type theory. This is done by showing that the comprehension category associated with a type-theoretic algebraic weak factorisation system satisfies the assumptions necessary to apply a right adjoint method for splitting comprehension categories. We then provide methods for constructing several examples of type-theoretic algebraic weak factorisation systems, encompassing the existing groupoid and cubical sets models, as well as new models based on normal (...) fibrations. (shrink)

A response to “Fever of the Tuskegee Study,” by Robert White.

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)

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)

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)

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)

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)

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.

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.

Resumo: Entre 1450 e 1750, na Europa e nas suas colônias, milhares de mulheres, mas não só, foram processadas pelo crime de bruxaria. A acusação se baseava em fofocas difundidas e muitas vezes acreditadas pela “má fama” dos acusados. Seria redutivo atribuir toda a responsabilidade a um complexo de crenças fruto de uma desordem mental generalizada. A caça às bruxas foi uma combinação de intervenções precisas e racionalizadas que objetivavam construir o espectro do monstro demoníaco. O tribunal inquisitório, formalmente obstinado, (...) na busca do crimine exceptum se transformou em um mecanismo infernal: uma engrenagem que produzia culpados. Poucos se deram conta do que estava acontecendo. Os mais doutos puseram à disposição a sua doutrina para sustentar culturalmente carnífices. Mas houve um pequeno rebanho que não se deixou envolver nesta “embriaguez”. Entre estes se encontrava um confessor de bruxas: o jesuíta alemão Friedrich von Spee. Redescobrir o seu pensamento, a sua doutrina, o seu empenho e a sua vida significa realizar uma obra obrigatória de reparação a um injustificado esquecimento. Mas também contribuir, com novos elementos, ao debate sobre o papel da Igreja Católica na “caça às bruxas”. Palavras-chave: Bruxas. von Spee. Exoterismo. (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.