This paper focuses on the extension of AGM that allows change for a belief base by a set of sentences instead of a single sentence. In [FH94], Fuhrmann and Hansson presented an axiomatic for Multiple Contraction and a construction based on the AGM Partial Meet Contraction. We propose for their model another way to construct functions: Multiple Kernel Contraction, that is a modification of Kernel Contraction, proposed by Hansson [Han94] to construct classical AGM contractions and belief base contractions. This construction (...) works out the unsolved problem pointed out by Hansson in [Han99, pp. 369]. (shrink)

Eduardo Arroyo, Armelle Auris, François Boissonnet, Paul HENRY, Pierre-Jean LABARRIERE, MATIEU, Gilles AILLAUD, Gérad THALMANN, Nicole MATHIEU, Jacques VIMARD, Michel QUAREZ, Leonardo CREMONINI, L'atelier d'Eduardo Arryo: Le carré blanc du ring, Rue Descartes, No. 7, Logiques de l'éthique (Juin 1993), pp. 149-168.

Adding a transparent truth predicate to a language completely governed by classical logic is not possible. The trouble, as is well-known, comes from paradoxes such as the Liar and Curry. Recently, Cobreros, Egré, Ripley and van Rooij have put forward an approach based on a non-transitive notion of consequence which is suitable to deal with semantic paradoxes while having a transparent truth predicate together with classical logic. Nevertheless, there are some interesting issues concerning the set of metainferences validated by this (...) logic. In this paper, we show that this logic, once it is adequately understood, is weaker than classical logic. Moreover, the logic is in a way similar to the paraconsistent logic LP. (shrink)

Until now, North American and European philosophies have been engaged in debates about the possibility of a postmetaphysical philosophy and the consequences of the linguistic turn for the assessment of modernity; they have done so, however, without departing from the narrow horizons of their respective nationalistic perspectives. In this incisive critique, Dussel demonstrates how most of thse philosophies have either failed to give historically faithful analyses of the genesis of the "myth" of modernity, or have never engaged in a serious (...) questioning of their own Eurocentric presuppositions. He shows how North American and European philosophers have presupposed a no-longer-acceptable philosophy of history that has led them to fall into a "developmental fallacy," the belief that there is a linear sequence that moves from the premodern, underdeveloped, or on the way to industrialization, to the modern, developed, and industrialized. (shrink)

In this article, we will present a number of technical results concerning Classical Logic, ST and related systems. Our main contribution consists in offering a novel identity criterion for logics in general and, therefore, for Classical Logic. In particular, we will firstly generalize the ST phenomenon, thereby obtaining a recursively defined hierarchy of strict-tolerant systems. Secondly, we will prove that the logics in this hierarchy are progressively more classical, although not entirely classical. We will claim that a logic is to (...) be identified with an infinite sequence of consequence relations holding between increasingly complex relata: formulae, inferences, metainferences, and so on. As a result, the present proposal allows not only to differentiate Classical Logic from ST, but also from other systems sharing with it their valid metainferences. Finally, we show how these results have interesting consequences for some topics in the philosophical logic literature, among them for the debate around Logical Pluralism. The reason being that the discussion concerning this topic is usually carried out employing a rivalry criterion for logics that will need to be modified in light of the present investigation, according to which two logics can be non-identical even if they share the same valid inferences. (shrink)

This book explains how the logic of theory change employs formal models in the investigation of changes in belief states and databases. The topics covered include equivalent characterizations of AGM operations, extended representations of the belief states, change operators not included in the original framework, iterated change, applications of the model, its connections with other formal frameworks, and criticism of the model.

info:eu-repo/semantics/publishedVersion.

In this paper we develop a general representation theory for MV-algebras. We furnish the appropriate categorical background to study this problem. Our guide line is the theory of classifying topoi of coherent extensions of universal algebra theories. Our main result corresponds, in the case of MV-algebras and MV-chains, to the representation of commutative rings with unit as rings of global sections of sheaves of local rings. We prove that any MV-algebra is isomorphic to the MV-algebra of all global sections of (...) a sheaf of MV-chains on a compact topological space. This result is intimately related to McNaughton’s theorem, and we explain why our representation theorem can be viewed as a vast generalization of McNaughton’s theorem. In spite of the language used in this abstract, we have written this paper in the hope that it can be read by experts in MV-algebras but not in sheaf theory, and conversely. (shrink)

María Pía Lara's two books, La Democracia como proyecto de identidad ética and Moral Textures: Feminist Narratives in the Public Sphere are described and analyzed. Her contribution to a feminist left-Habermasian theory of the relationship between the aesthetic dimension and the political imaginary are discussed. Questions and concerns, however, are raised regarding the assumptions of universal pragmatics and Lara's attempt to offer a positive reading of the dependence of the political imaginary on literary acts and genres.

El artículo busca dilucidar algunas características del epistolario en tanto que fuente historiográfica y encontrar claves de comparación con la autobiografía. Con importantes aspectos en común, sus propósitos, sus sesgos y la posición subjetiva de sus autores evidencian importantes diferencias. A partir de esta problemática, se analizará la correspondencia sostenida por Max Weber desde el servicio militar durante la Gran Guerra. En un período en el que no tiene intervención pública alguna, el análisis se centra en la evolución de su (...) perspectiva sobre el papel de Alemania y sobre su actividad específica en los lazaretos. Cada uno de estos aspectos se relaciona respectivamente con dos piedras angulares de la obra weberiana: el problema nacional y el proceso de burocratización. (shrink)

This paper deals with the ways in which jurists and law professors applied transnational systems of public law, in particular US constitutionalism and French droit administratif, in their approaches to the state building process in late nineteenth century Argentina. In covering these movements of adaptation of a nascent legal culture to changing ideological and political circumstances, this article attempts to illuminate the strong links between the process of institutionalization of certain academic disciplines or forms of social knowledge, and modern state (...) building in Latin America. (shrink)

In “A new proof of the completeness of the Lukasiewicz axioms” Chang proved that any totally ordered MV-algebra A was isomorphic to the segment \}\) of a totally ordered l-group with strong unit A *. This was done by the simple intuitive idea of putting denumerable copies of A on top of each other. Moreover, he also show that any such group G can be recovered from its segment since \^*}\), establishing an equivalence of categories. In “Interpretation of AF C (...) *-algebras in Lukasiewicz sentential calculus” Mundici extended this result to arbitrary MV-algebras and l-groups with strong unit. He takes the representation of A as a sub-direct product of chains A i, and observes that \ where \. Then he let A * be the l-subgroup generated by A inside \. He proves that this idea works, and establish an equivalence of categories in a rather elaborate way by means of his concept of good sequences and its complicated arithmetics. In this note, essentially self-contained except for Chang’s result, we give a simple proof of this equivalence taking advantage directly of the arithmetics of the the product l-group \, avoiding entirely the notion of good sequence. (shrink)

In this paper we develop a general representation theory for MV-algebras. We furnish the appropriate categorical background to study this problem. Our guide line is the theory of classifying topoi of coherent extensions of universal algebra theories. Our main result corresponds, in the case of MV-algebras and MV-chains, to the representation of commutative rings with unit as rings of global sections of sheaves of local rings. We prove that any MV-algebra is isomorphic to the MV-algebra of all global sections of (...) a sheaf of MV-chains on a compact topological space. This result is intimately related to McNaughton’s theorem, and we explain why our representation theorem can be viewed as a vast generalization of McNaughton’s theorem. In spite of the language used in this abstract, we have written this paper in the hope that it can be read by experts in MV-algebras but not in sheaf theory, and conversely. (shrink)

A theory of magnitudes involves criteria for their equivalence, comparison and addition. In this article we examine these aspects from an abstract viewpoint, by focusing on the so-called De Zolt’s postulate in the theory of equivalence of plane polygons (“If a polygon is divided into polygonal parts in any given way, then the union of all but one of these parts is not equivalent to the given polygon”). We formulate an abstract version of this postulate and derive it from some (...) selected principles for magnitudes. We also formulate and derive an abstract version of Euclid’s Common Notion 5 (“The whole is greater than the part”), and analyze its logical relation to the former proposition. These results prove to be relevant for the clarification of some key conceptual aspects of Hilbert’s proof of De Zolt’s postulate, in his classicalFoundations of Geometry(1899). Furthermore, our abstract treatment of this central proposition provides interesting insights for the development of a well-behaved theory ofcompatiblemagnitudes. (shrink)

We study the algebraizability of the logics constructed using literal-paraconsistent and literal-paracomplete matrices described by Lewin and Mikenberg in [11], proving that they are all algebraizable in the sense of Blok and Pigozzi in [3] but not finitely algebraizable. A characterization of the finitely algebraizable logics defined by LPP-matrices is given.We also make an algebraic study of the equivalent algebraic semantics of the logics associated to the matrices ℳ32,2, ℳ32,1, ℳ31,1, ℳ31,3, and ℳ4 appearing in [11] proving that they are (...) not varieties and finding the free algebra over one generator. (shrink)

Entrevista com o Prof. Eduardo Jardim, Revisor técnico da edição brasileira de "Pensar sem corrimão", mais recente livro de Hannah Arendt no Brasil.

In some recent articles, Cobreros, Egré, Ripley, & van Rooij have defended the idea that abandoning transitivity may lead to a solution to the trouble caused by semantic paradoxes. For that purpose, they develop the Strict-Tolerant approach, which leads them to entertain a nontransitive theory of truth, where the structural rule of Cut is not generally valid. However, that Cut fails in general in the target theory of truth does not mean that there are not certain safe instances of Cut (...) involving semantic notions. In this article we intend to meet the challenge of answering how to regain all the safe instances of Cut, in the language of the theory, making essential use of a unary recovery operator. To fulfill this goal, we will work within the so-called Goodship Project, which suggests that in order to have nontrivial naïve theories it is sufficient to formulate the corresponding self-referential sentences with suitable biconditionals. Nevertheless, a secondary aim of this article is to propose a novel way to carry this project out, showing that the biconditionals in question can be totally classical. In the context of this article, these biconditionals will be essentially used in expressing the self-referential sentences and, thus, as a collateral result of our work we will prove that none of the recoveries expected of the target theory can be nontrivially achieved if self-reference is expressed through identities. (shrink)

Who Comes After the Subject offers the most comprehensive overview to date of contemporary French thinking on the question of the "subject." Nineteen philosophers and critics offer diverse perspectives on the subject as it has manifested itself in our modern discourses: the subject of philosophy, of the State, of history, of psychoanalysis. Each contribution asks What has become of the subject? or What has the subject become? in the wake of its critiques and deconstructions .

O artigo busca abordar o pensamento de Auerbach quanto ao romance do século XX, especificamente o que ele chama de romance realista. Realismo, representação, historicismo são alguns dos conceitos-chave para a compreensão do pensamento auerbachiano e cuja apresentação serve como abertura do artigo. A seguir há uma investigação das características do romance entreguerras tal como Auerbach o pensa. Finalmente faço a relação entre o projeto filológico e o tratamento que o filólogo dá ao romance do século XX.

En este artículo se analiza la posible influencia del estoicismo en algunos aspectos precisos de la ética kantiana. Se intenta defender la tesis de que, aunque Kant critica muchas veces la ética estoica y en especial su eudemonismo, también adopta en su ética algunas de las posiciones estoicas y las incorpora en ciertos aspectos clave de su propia Doctrina de la virtud. En especial, se intenta mostrar cómo adopta Kant el ideal del sabio estoico y una de sus características más (...) notables: la apatía. (shrink)

In this paper we discuss the extent to which the very existence of substructural logics puts the Tarskian conception of logical systems in jeopardy. In order to do this, we highlight the importance of the presence of different levels of entailment in a given logic, looking not only at inferences between collections of formulae but also at inferences between collections of inferences—and more. We discuss appropriate refinements or modifications of the usual Tarskian identity criterion for logical systems, and propose an (...) alternative of our own. After that, we consider a number of objections to our account and evaluate a substantially different approach to the same problem. (shrink)

The 1985 paper by Carlos Alchourrón, Peter Gärdenfors, and David Makinson, “On the Logic of Theory Change: Partial Meet Contraction and Revision Functions” was the starting-point of a large and rapidly growing literature that employs formal models in the investigation of changes in belief states and databases. In this review, the first twenty-five years of this development are summarized. The topics covered include equivalent characterizations of AGM operations, extended representations of the belief states, change operators not included in the original (...) framework, iterated change, applications of the model, its connections with other formal frameworks, computatibility of AGM operations, and criticism of the model. (shrink)

En este trabajo se analiza la relación entre los conceptos de fetichismo y lucha de clases en el particular marxismo de Slavoj Žižek. Žižek comprende el fetichismo marxiano a través del psicoanálisis y en el marco de la concepción de Marx de la religión en dos sentidos: como ideología y como fundamento. Esto le permite mostrar que el fetichismo y en general el hecho religioso, no es únicamente «falsa conciencia» sino que también funciona como el elemento constitutivo e insuperable de (...) lo real, lo que, a su vez permite repensar la lucha de clases. (shrink)