Suszko's Thesis maintains that many-valued logics do not exist at all. In order to support it, R. Suszko offered a method for providing any structural abstract logic with a complete set of bivaluations. G. Malinowski challenged Suszko's Thesis by constructing a new class of logics (called q-logics by him) for which Suszko's method fails. He argued that the key for logical two-valuedness was the "bivalent" partition of the Lindenbaum bundle associated with all structural abstract logics, while his q-logics were generated (...) by "trivalent" matrices. This paper will show that contrary to these intuitions, logical two-valuedness has more to do with the geometrical properties of the deduction relation of a logical structure than with the algebraic properties embedded on it. (shrink)

We first state a few previously obtained results that lead to general undecidability and incompleteness theorems in axiomatized theories that range from the theory of finite sets to classical elementary analysis. Out of those results we prove several incompleteness theorems for axiomatic versions of the theory of noncooperative games with Nash equilibria; in particular, we show the existence of finite games whose equilibria cannot be proven to be computable.

In Tsuji 1997 the concept of Jeffrey-Keynes algebras was introduced in order to construct a paraconsistent theory of decision under uncertainty. In the present paper we show that these algebras can be used to develop a theory of decision under uncertainty that measures the degree of belief on the quasi (or partial) truth of the propositions. As applications of this new theory of decision, we use it to analyze Popper's paradox of ideal evidence and to indicate a possible way (...) of formalizing Keynes' theory of economic action. (shrink)

In this paper the general notion of Bourbaki structures, interpreted in terms of Suppes predicates, will be used to axiomatize a system of meta-rankings in the sense introduced by A. K. Sen. It will be argued that this axiomatization must take place in a Kantian-ruled world in order to provide a link between meta-rankings and individual actions.Dedicated to Prof. Francisco A. Doria on his 50th birthday.

We first state a few previously obtained results that lead to general undecidability and incompleteness theorems in axiomatized theories that range from the theory of finite sets to classical elementary analysis. Out of those results we prove several incompleteness theorems for axiomatic versions of the theory of noncooperative games with Nash equilibria; in particular, we show the existence of finite games whose equilibria cannot be proven to be computable.

The purpose of this paper is to examine the ateleological moment of learning through imitation. In general, we can learn something new through imitating models we are given, which embody the values of our own society, culture and institutions. This means that imitation is understood in terms of the representation or reproduction of original models. In this understanding of imitation, however, the creative aspect of imitation is missed. In relation to this I shall, first, consider learning through imitation in terms (...) of Walter Benjamin’s theory of mimesis discussed in his essay, ‘On the Mimetic Faculty.’ It begins by examining general understanding of the concepts of experience and writing. Second and third, while reconsidering the idea of imitation, I shall bring out the difference between mimesis and copying, based on Plato and Aristotle, and I shall examine the former, especially its involuntary aspect. Fourth, in order to consider the ateleological moment of learning through imitation as mimesis, I discuss the relation between mimesis and the chance event. Fifth, Benjamin’s allegorical ‘anti-autobiography’ entitled ‘A Berlin Childhood around 1900’, which ponders the idea of childhood as otherness is considered in order to explore what is happening in the very moment of writing, driven by the chance event. To conclude, I shall show how the very moment of writing involves an unceasing transformation of the self. (shrink)

No cinema brasileiro recente, o diálogo entre o documentário e a ficção tem merecido destaque, com produções de baixo orçamento e ideias originais. É o caso de Santiago (João Moreira Salles, 2007) e Viajo Porque Preciso, Volto Porque Te Amo (Marcelo Gomes, Karim Aïnouz, 2009), filmes que trabalham esse diálogo de forma sutil e diegética, ressignificando imagens de um arquivo próprio, pessoal.

We provide a model in which students must choose whether or not to cheat on a course exam. By assuming that the moral cost of acting dishonestly decreases as the number of other people who behave in the same way increases, our model explains one important channel by which unethical behavior of other individuals can influence observers’ behavior. Through the use of the Global Games approach of equilibrium selection, we build a framework that provides the micro-foundations of peer effects on (...) academic dishonesty and shows how better student technology of cheating and higher disutility of effort make the cheating equilibrium more likely to be selected. By extending the model, we find that the peer effect strength is not affected by the level of homogeneity of the cohort, but decreases in the size of the class. Our approach may be seen as an important step towards reduced-form models of peer effects on dishonest behavior. (shrink)

But never let it be doubted that depression, in its extreme form, is madness. (Styron, 1990, p. 62)There is nothing wrong with our biology or our intelligence; sometimes we are just stuck. (Cvetkov...

The logics of formal inconsistency (LFIs, for short) are paraconsistent logics (that is, logics containing contradictory but non-trivial theories) having a consistency connective which allows to recover the ex falso quodlibet principle in a controlled way. The aim of this paper is considering a novel semantical approach to first-order LFIs based on Tarskian structures defined over swap structures, a special class of multialgebras. The proposed semantical framework generalizes previous aproaches to quantified LFIs presented in the literature. The case of QmbC, (...) the simpler quantified LFI expanding classical logic, will be analyzed in detail. An axiomatic extension of QmbC called QLFI1o is also studied, which is equivalent to the quantified version of da Costa and D'Ottaviano 3-valued logic J3. The semantical structures for this logic turn out to be Tarkian structures based on twist structures. The expansion of QmbC and QLFI1o with a standard equality predicate is also considered. (shrink)

From the early to mid-1970s, Michel Foucault posited that power consists of a relation rather than a substance and that this relation is comprised of unequal forces engaged in a warlike struggle against each other, resulting invariably in the domination of some forces over others. This understanding of power, which he retrospectively dubbed `Nietzsche's hypothesis' and `the model of war', underpinned his well-known analyses of disciplinary power. Yet, Foucault in his Collège de France course from the academic year 1975-6, `Society (...) Must Be Defended', suddenly began to call into question this understanding and his doubts about it did not abate well into the late 1970s. In this article, we suggest that his militant politics in the early 1970s sustained his adherence to the war model and that his more cautious political attitude later in the decade underpinned his suspicions about this model. Key Words: biopolitics • Henri de Boulainvilliers • Michel Foucault • Thomas Hobbes • militancy • F. W. Nietzsche • politics • power • race • war. (shrink)

In 1988, J. Ivlev proposed some (non-normal) modal systems which are semantically characterized by four-valued non-deterministic matrices in the sense of A. Avron and I. Lev. Swap structures are multialgebras (a.k.a. hyperalgebras) of a special kind, which were introduced in 2016 by W. Carnielli and M. Coniglio in order to give a non-deterministic semantical account for several paraconsistent logics known as logics of formal inconsistency, which are not algebraizable by means of the standard techniques. Each swap structure induces naturally a (...) non-deterministic matrix. The aim of this paper is to obtain a swap structures semantics for some Ivlev-like modal systems proposed in 2015 by M. Coniglio, L. Fariñas del Cerro and N. Peron. Completeness results will be stated by means of the notion of Lindenbaum–Tarski swap structures, which constitute a natural generalization to multialgebras of the concept of Lindenbaum–Tarski algebras. (shrink)

In 1986, Mikenberg et al. introduced the semantic notion of quasi-truth defined by means of partial structures. In such structures, the predicates are seen as triples of pairwise disjoint sets: the set of tuples which satisfies, does not satisfy and can satisfy or not the predicate, respectively. The syntactical counterpart of the logic of partial truth is a rather complicated first-order modal logic. In the present article, the notion of predicates as triples is recursively extended, in a natural way, to (...) any complex formula of the first-order object language. From this, a new definition of quasi-truth is obtained. The proof-theoretic counterpart of the new semantics is a first-order paraconsistent logic whose propositional base is a 3-valued logic belonging to hierarchy of paraconsistent logics known as Logics of Formal Inconsistency, which was proposed by Carnielli and Marcos in 2002. (shrink)

明治時代まで日本には「科学」という言葉がなかった―異国文化であった科学技術の受容にあたって、日本の伝統的なものの考え方・習慣と激しく衝突した。“文化の翻訳”に苦闘した人びとの姿を描く。.

Multialgebras have been much studied in mathematics and in computer science. In 2016 Carnielli and Coniglio introduced a class of multialgebras called swap structures, as a semantic framework for dealing with several Logics of Formal Inconsistency that cannot be semantically characterized by a single finite matrix. In particular, these LFIs are not algebraizable by the standard tools of abstract algebraic logic. In this paper, the first steps towards a theory of non-deterministic algebraization of logics by swap structures are given. Specifically, (...) a formal study of swap structures for LFIs is developed, by adapting concepts of universal algebra to multialgebras in a suitable way. A decomposition theorem similar to Birkhoff’s representation theorem is obtained for each class of swap structures. Moreover, when applied to the 3-valued algebraizable logics J3 and Ciore, their classes of algebraic models are retrieved, and the swap structures semantics become twist structures semantics. This fact, together with the existence of a functor from the category of Boolean algebras to the category of swap structures for each LFI, suggests that swap structures can be seen as non-deterministic twist structures. This opens new avenues for dealing with non-algebraizable logics by the more general methodology of multialgebraic semantics. (shrink)

A ideia de uma crise do rádio consolidou-se no imaginário coletivo nas últimas décadas, a despeito de não haver ancoragem na realidade. Se muitas rádios tradicionais AM e FM saem do ar, vendidas a igrejas eletrônicas ou novos grupos empresariais, multiplica-se a oferta de conteúdos no contexto de um rádio expandido, que transborda para novas plataformas e é consumido nos mais diversos dispositivos. O rádio vai bem, obrigado, embora algumas emissoras de rádio em ondas hertzianas estejam mal das pernas, lamentando-se (...) da concorrência com serviços on-line e da erosão dos habituais índices de audiência, antes medidos em centenas de milhares de ouvintes por minuto. (shrink)

Despite being fairly powerful, finite non-deterministic matrices are unable to characterize some logics of formal inconsistency, such as those found between mbCcl and Cila. In order to overcome this limitation, we propose here restricted non-deterministic matrices (in short, RNmatrices), which are non-deterministic algebras together with a subset of the set of valuations. This allows us to characterize not only mbCcl and Cila (which is equivalent, up to language, to da Costa's logic C_1) but the whole hierarchy of da Costa's calculi (...) C_n. This produces a novel decision procedure for these logics. Moreover, we show that the RNmatrix semantics proposed here induces naturally a labelled tableau system for each C_n, which constitutes another decision procedure for these logics. This new semantics allows us to conceive da Costa's hierarchy of C-systems as a family of (non deterministically) (n+2)-valued logics, where n is the number of "inconsistently true" truth-values and 2 is the number of "classical" or "consistent" truth-values, for every C_n. (shrink)

Kant, los sábados por la tarde -- ¿Andaría en algo Sócrates? -- El álef de "El Aleph" -- La angustia ya no se lleva -- El tango de la muerte -- Los ilotas y la juventud maravillosa -- Los jóvenes en Flores -- El filósofo y la princesa.

Se indagó sobre el desarrollo de la Investigación Acción Participativa en Psicología. Se observó que en América y Europa, esta metodología se utiliza en una variedad de áreas disciplinares, principalmente en la Psicología Comunitaria. Aborda fundamentalmente problemáticas sociales, comunitarias y ps..

ExcerptAt its core, the concept of biopolitics refers to the constitution of the life of a population as the object and objective of politics. Of course, Michel Foucault pioneered this concept in his analyses from the late 1970s, first in his Collège de France course from the academic year 1975–76, “Society Must Be Defended”, and subsequently in the first volume of The History of Sexuality, published in the fall of 1976.1 Taking as his cue the analysis in the latter publication, (...) Giorgio Agamben, in a few highly schematic but rich and provocative passages from the introduction to his now seminal…. (shrink)

Entrevista com o professor Mauro Rêgo Sá Costa para o dossiê Rádio nas Bordas.

Michel Foucault is one of the most preeminent theorists of power, yet the relationship between his militant activities and his analysis of power remains unclear. The book explores this relationship to explain the development of Foucault's thinking about power. Using newly translated and unpublished materials, it examines what led Foucault to take on the question of power in the early 1970s and subsequently refine his thinking, working through different models (war and government) and modalities (sovereign, disciplinary, biopolitical, pastoral and governmental). (...) Looking at Foucault's political trajectory, from his involvement with the prisoner support movement and Solidarity to his controversial engagement with the Iranian revolution, the book shows the militant underpinning of his interest in the question of power and its various shifts and mutations. This thorough account, which includes the first translation of a report edited by Foucault on prison conditions, will provide students in contemporary political theory with a better understanding of Foucault's thinking about power and of the interplay between political activities and theoretical productions. (shrink)

The aim of the paper is to analyze the expressive power of the square operator of Łukasiewicz logic: ∗x=x⊙x⁠, where ⊙ is the strong Łukasiewicz conjunction. In particular, we aim at understanding and characterizing those cases in which the square operator is enough to construct a finite MV-chain from a finite totally ordered set endowed with an involutive negation. The first of our main results shows that, indeed, the whole structure of MV-chain can be reconstructed from the involution and the (...) Łukasiewicz square operator if and only if the obtained structure has only trivial subalgebras and, equivalently, if and only if the cardinality of the starting chain is of the form n+1 where n belongs to a class of prime numbers that we fully characterize. Secondly, we axiomatize the algebraizable matrix logic whose semantics is given by the variety generated by a finite totally ordered set endowed with an involutive negation and Łukasiewicz square operator. Finally, we propose an alternative way to account for Łukasiewicz square operator on involutive Gödel chains. In this setting, we show that such an operator can be captured by a rather intuitive set of equations. (shrink)

We introduce a methodology whereby an arbitrary logic system L can be enriched with temporal features to create a new system T(L). The new system is constructed by combining L with a pure propositional temporal logic T (such as linear temporal logic with Since and Until) in a special way. We refer to this method as adding a temporal dimension to L or just temporalising L. We show that the logic system T(L) preserves several properties of the original temporal logic (...) like soundness, completeness, decidability, conservativeness and separation over linear flows of time. We then focus on the temporalisation of first-order logic, and a comparison is make with other first-order approaches to the handling of time. (shrink)

In abstract algebraic logic, many systems, such as those paraconsistent logics taking inspiration from da Costa's hierarchy, are not algebraizable by even the broadest standard methodologies, as that of Blok and Pigozzi. However, these logics can be semantically characterized by means of non-deterministic algebraic structures such as Nmatrices, RNmatrices and swap structures. These structures are based on multialgebras, which generalize algebras by allowing the result of an operation to assume a non-empty set of values. This leads to an interest in (...) exploring the foundations of multialgebras applied to the study of logic systems. It is well known from universal algebra that, for every signature \, there exist algebras over \ which are absolutely free, meaning that they do not satisfy any identities or, alternatively, satisfy the universal mapping property for the class of \-algebras. Furthermore, once we fix a cardinality of the generating set, they are, up to isomorphisms, unique, and equal to algebras of terms. Equivalently, the forgetful functor, from the category of \-algebras to Set, has a left adjoint. This result does not extend to multialgebras. Not only multialgebras satisfying the universal mapping property do not exist, but the forgetful functor \, from the category of \-multialgebras to Set, does not have a left adjoint. In this paper we generalize, in a natural way, algebras of terms to multialgebras of terms, whose family of submultialgebras enjoys many properties of the former. One example is that, to every pair consisting of a function, from a submultialgebra of a multialgebra of terms to another multialgebra, and a collection of choices, there corresponds a unique homomorphism, what resembles the universal mapping property. Another example is that the multialgebras of terms are generated by a set that may be viewed as a strong basis, which we call the ground of the multialgebra. Submultialgebras of multialgebras of terms are what we call weakly free multialgebras. Finally, with these definitions at hand, we offer a simple proof that multialgebras with the universal mapping property for the class of all multialgebras do not exist and that \ does not have a left adjoint. (shrink)