We present a philosophical motivation for the logics of formal inconsistency, a family of paraconsistent logics whose distinctive feature is that of having resources for expressing the notion of consistency within the object language. We shall defend the view according to which logics of formal inconsistency are theories of logical consequence of normative and epistemic character. This approach not only allows us to make inferences in the presence of contradictions, but offers a philosophically acceptable account of paraconsistency.

The purpose of this paper is to present a paraconsistent formal system and a corresponding intended interpretation according to which true contradictions are not tolerated. Contradictions are, instead, epistemically understood as conflicting evidence, where evidence for a proposition A is understood as reasons for believing that A is true. The paper defines a paraconsistent and paracomplete natural deduction system, called the Basic Logic of Evidence, and extends it to the Logic of Evidence and Truth. The latter is a logic of (...) formal inconsistency and undeterminedness that is able to express not only preservation of evidence but also preservation of truth. LETj is anti-dialetheist in the sense that, according to the intuitive interpretation proposed here, its consequence relation is trivial in the presence of any true contradiction. Adequate semantics and a decision method are presented for both BLE and LETj, as well as some technical results that fit the intended interpretation. (shrink)

This papers’ goal is to present a survey of the contemporary discussions regarding truthmakers. The emphasis will be on the characterization of the truthmaking relation and on the problems involved in universal propositions and negations.

In this paper we present a philosophical motivation for the logics of formal inconsistency, a family of paraconsistent logics whose distinctive feature is that of having resources for expressing the notion of consistency within the object language in such a way that consistency may be logically independent of non-contradiction. We defend the view according to which logics of formal inconsistency may be interpreted as theories of logical consequence of an epistemological character. We also argue that in order to philosophically justify (...) paraconsistency there is no need to endorse dialetheism, the thesis that there are true contradictions. Furthermore, we show that mbC, a logic of formal inconsistency based on classical logic, may be enhanced in order to express the basic ideas of an intuitive interpretation of contradictions as conflicting evidence. (shrink)

From the technical point of view, philosophically neutral, the duality between a paraconsistent and a paracomplete logic lies in the fact that explosion does not hold in the former and excluded middle does not hold in the latter. From the point of view of the motivations for rejecting explosion and excluded middle, this duality can be interpreted either ontologically or epistemically. An ontological interpretation of intuitionistic logic is Brouwer’s idealism; of paraconsistency is dialetheism. The epistemic interpretation of intuitionistic logic is (...) in terms of preservation of constructive proof; of paraconsistency is in terms of preservation of evidence. In this paper, we explain and defend the epistemic approach to paraconsistency. We argue that it is more plausible than dialetheism and allows a peaceful and fruitful coexistence with classical logic. (shrink)

This paper introduces the logic of evidence and truth \ as an extension of the Belnap–Dunn four-valued logic \. \ is a slightly modified version of the logic \, presented in Carnielli and Rodrigues. While \ is equipped only with a classicality operator \, \ is equipped with a non-classicality operator \ as well, dual to \. Both \ and \ are logics of formal inconsistency and undeterminedness in which the operator \ recovers classical logic for propositions in its (...) scope. Evidence is a notion weaker than truth in the sense that there may be evidence for a proposition \ even if \ is not true. As well as \, \ is able to express preservation of evidence and preservation of truth. The primary aim of this paper is to propose a probabilistic semantics for \ where statements \\) and \\) express, respectively, the amount of evidence available for \ and the degree to which the evidence for \ is expected to behave classically—or non-classically for \ \). A probabilistic scenario is paracomplete when \ + P 1\), and in both cases, \ < 1\). If \ = 1\), or \ = 0\), classical probability is recovered for \. The proposition \, a theorem of \, partitions what we call the information space, and thus allows us to obtain some new versions of known results of standard probability theory. (shrink)

The aim of this paper is to present and analyze the truthmaker monism , a result according to which any truthmaker makes true any true proposition. Truthmaker monism depends on the characterization of the truthmaking relation in terms of strict implication, the principle of excluded middle and the so called disjunction thesis. I will restrict the discussion to a theory of truthmakers of empirical truths and I will argue that, in the scope of such a theory, the problem does not (...) lie in the use of strict implication neither in the excluded middle but, rather, in the disjunction thesis, that must be rejected. (shrink)

The aim of this text is to reply to criticisms of the logics of evidence and truth and the epistemic approach to paraconsistency advanced by Barrio [2018], and Lo Guercio and Szmuc [2018]. We also clarify the notion of evidence that underlies the intended interpretation of these logics and is a central point of Barrio’s and Lo Guercio & Szmuc’s criticisms.

The main aim of this paper is to introduce first-order versions of logics of evidence and truth, together with corresponding sound and complete Kripke semantics with variable and constant domains. According to the intuitive interpretation proposed here, these logics intend to represent possibly inconsistent and incomplete information bases over time. The paper also discusses the connections between Belnap-Dunn’s and da Costa’s approaches to paraconsistency, and argues that the logics of evidence and truth combine them in a very natural way.

The main aim of this paper is to introduce the logics of evidence and truth $$LET_{K}^+$$ and $$LET_{F}^+$$ together with sound, complete, and decidable six-valued deterministic semantics for them. These logics extend the logics $$LET_{K}$$ and $$LET_{F}^-$$ with rules of propagation of classicality, which are inferences that express how the classicality operator $${\circ }$$ is transmitted from less complex to more complex sentences, and vice-versa. The six-valued semantics here proposed extends the 4 values of Belnap-Dunn logic with 2 more values (...) that intend to represent (positive and negative) reliable information. A six-valued non-deterministic semantics for $$LET_{K}$$ is obtained by means of Nmatrices based on swap structures, and the six-valued semantics for $$LET_{K}^+$$ is then obtained by imposing restrictions on the semantics of $$LET_{K}$$. These restrictions correspond exactly to the rules of propagation of classicality that extend $$LET_{K}$$. The logic $$LET_{F}^+$$ is obtained as the implication-free fragment of $$LET_{K}^+$$. We also show that the 6 values of $$LET_{K}^+$$ and $$LET_{F}^+$$ define a lattice structure that extends the lattice L4 defined by the Belnap-Dunn four-valued logic with the 2 additional values mentioned above, intuitively interpreted as positive and negative reliable information. Finally, we also show that $$LET_{K}^+$$ is Blok-Pigozzi algebraizable and that its implication-free fragment $$LET_{F}^+$$ coincides with the degree-preserving logic of the involutive Stone algebras. (shrink)

Proof-theoretic semantics provides meanings to the connectives of intuitionistic logic without the need for a semantics in the standard sense of an attribution of semantic values to formulas. Meanings are given by the inference rules that, in this case, do not express preservation of truth but rather preservation of availability of a constructive proof. Elsewhere we presented two paraconsistent systems of natural deduction: the Basic Logic of Evidence and the Logic of Evidence and Truth. The rules of BLE have been (...) conceived to preserve a notion weaker than truth, namely, evidence, understood as reasons for believing in or accepting a given proposition. \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$LET_{J}$$\end{document}, on the other hand, is a logic of formal inconsistency and undeterminedness that extends \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$BLE$$\end{document} by adding resources to recover classical logic for formulas taken as true, or false. We extend the idea of proof-theoretic semantics to these logics and argue that the meanings of the connectives in BLE are given by the fact that its rules are concerned with preservation of the availability of evidence. An analogous idea also applies to \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$LET_{J}$$\end{document}. (shrink)

In this paper we present a philosophical motivation for the logics of formal inconsistency, a family of paraconsistent logics whose distinctive feature is that of having resources for expressing the notion of consistency within the object language in such a way that consistency may be logically independent of non- contradiction. We defend the view according to which logics of formal inconsistency may be interpreted as theories of logical consequence of an epistemological character. We also argue that in order to philosophically (...) justify paraconsistency there is no need to endorse dialetheism, the thesis that there are true contradictions. Furthermore, we argue that an intuitive reading of the bivalued semantics for the logic mbC, a logic of formal inconsistency based on classical logic, fits in well with the basic ideas of an intuitive interpretation of contradictions. On this interpretation, the acceptance of a pair of propositions A and ¬A does not mean that A is simultaneously true and false, but rather that there is conflicting evidence about the truth value of A. (shrink)

The book Paraconsistent Logic: Consistency, Contradiction and Negation by Walter Carnielli and Marcelo Coniglio is the most thorough study of Logics of Formal Inconsistency...

Foreword : Consistency, Contradiction, and Consequence.

In this paper, we propose Kripke-style models for the logics of evidence and truth LETJ and LETF. These logics extend, respectively, Nelson’s logic N4 and the logic of first-degree entailment with a classicality operator ∘ that recovers classical logic for formulas in its scope. According to the intended interpretation here proposed, these models represent a database that receives information as time passes, and such information can be positive, negative, non-reliable, or reliable, while a formula ∘A means that the information about (...) A, either positive or negative, is reliable. This proposal is in line with the interpretation of N4 and FDE as information-based logics, but adds to the four scenarios expressed by them two new scenarios: reliable information for the truth and for the falsity of a given proposition. (shrink)

There are two foundational, but not fully developed, ideas in paraconsistency, namely, the duality between paraconsistent and intuitionistic paradigms, and the introduction of logical operators that express metalogical notions in the object language. The aim of this paper is to show how these two ideas can be adequately accomplished by the logics of formal inconsistency and by the logics of formal undeterminedness. LFIs recover the validity of the principle of explosion in a paraconsistent scenario, while LFUs recover the validity of (...) the principle of excluded middle in a paracomplete scenario. We introduce definitions of duality between inference rules and connectives that allow comparing rules and connectives that belong to different logics. Two formal systems are studied, the logics mbC and mbD, that display the duality between paraconsistency and paracompleteness as a duality between inference rules added to a common core—in the case studied here, this common core is classical positive propositional logic. The logics mbC and mbD are equipped with recovery operators that restore classical logic for, respectively, consistent and determined propositions. These two logics are then combined obtaining a pair of LFI and undeterminedness, namely, mbCD and mbCDE. The logic mbCDE exhibits some nice duality properties. Besides, it is simultaneously paraconsistent and paracomplete, and able to recover the principles of excluded middle and explosion one at a time. The last sections offer an algebraic account for such logics by adapting the swap structures semantics framework of the LFIs the LFUs. This semantics highlights some subtle aspects of these logics, and allows us to prove decidability by means of finite nondeterministic matrices. (shrink)

The book Paraconsistent Logic: Consistency, Contradiction and Negation by Walter Carnielli and Marcelo Coniglio is the most thorough study of Logics of Formal Inconsistency...

This paper reviews the central points and presents some recent developments of the epistemic approach to paraconsistency in terms of the preservation of evidence. Two formal systems are surveyed, the basic logic of evidence (BLE) and the logic of evidence and truth (LET J ), designed to deal, respectively, with evidence and with evidence and truth. While BLE is equivalent to Nelson’s logic N4, it has been conceived for a different purpose. Adequate valuation semantics that provide decidability are given for (...) both BLE and LET J . The meanings of the connectives of BLE and LET J , from the point of view of preservation of evidence, is explained with the aid of an inferential semantics. A formalization of the notion of evidence for BLE as proposed by M. Fitting is also reviewed here. As a novel result, the paper shows that LET J is semantically characterized through the so-called Fidel structures. Some opportunities for further research are also discussed. (shrink)

There are two foundational, but not fully developed, ideas in paraconsistency, namely, the duality between paraconsistent and intuitionistic paradigms, and the introduction of logical operators that express meta-logical notions in the object language. The aim of this paper is to show how these two ideas can be adequately accomplished by the Logics of Formal Inconsistency (LFIs) and by the Logics of Formal Undeterminedness (LFUs). LFIs recover the validity of the principle of explosion in a paraconsistent scenario, while LFUs recover the (...) validity of the principle of excluded middle in a paracomplete scenario. We introduce definitions of duality between inference rules and connectives that allow comparing rules and connectives that belong to different logics. Two formal systems are studied, the logics mbC and mbD, that display the duality between paraconsistency and paracompleteness as a duality between inference rules added to a common core– in the case studied here, this common core is classical positive propositional logic (CPL + ). The logics mbC and mbD are equipped with recovery operators that restore classical logic for, respectively, consistent and determined propositions. These two logics are then combined obtaining a pair of logics of formal inconsistency and undeterminedness (LFIUs), namely, mbCD and mbCDE. The logic mbCDE exhibits some nice duality properties. Besides, it is simultaneously paraconsistent and paracomplete, and able to recover the principles of excluded middle and explosion at once. The last sections offer an algebraic account for such logics by adapting the swap-structures semantics framework of the LFIs the LFUs. This semantics highlights some subtle aspects of these logics, and allows us to prove decidability by means of finite non-deterministic matrices. (shrink)

Como área interdisciplinar, as Ciências Cognitivas começam a se desenvolver em meados da década de 1950 a partir de uma concepção compartilhada sobre a mente, hoje chamada de cognitivista. Esses pesquisadores concebiam a mente com uma natureza representacional que opera por meio de computações simbólicas. Atualmente, há uma multiplicidade de abordagens e teorias sobre a mente. Nesse espectro de posições, há desde abordagens tradicionais, que concebem a mente como representacional, até abordagens bastante radicais, que negam qualquer natureza representacional para a (...) mente. Após introduzir este tema, apresentamos as críticas de William Ramsey à representação enquanto definidora das Ciências Cognitivas ou, em outros termos, à representação enquanto critério de demarcação do cognitivo. Desenvolveremos uma hipótese interpretativa para a crítica de Ramsey mobilizando o conceito de estratégia de pesquisa, de Hugh Lacey. Apresentaremos a distinção de Lacey entre adoção de uma estratégia e aceitação de uma teoria, discutindo a suposta independência avaliativa entre estratégia e teoria. Finalizaremos com a defesa de um pluralismo de estratégias nas Ciências Cognitivas. Diferente de concepções que buscam reduzir prematuramente as Ciências Cognitivas a uma única estratégia, o pluralismo que defendemos equilibra a eficiência na resolução de problemas com outros valores considerados importantes, como a abrangência empírica e a neutralidade no sentido de inclusividade e equitatividade de valores. No atual momento das ciências cognitivas, o pluralismo de estratégias constitui o caminho mais promissor. (shrink)

n the first part of the paper I will present Pritchard’s approach to Wittgenstein’s notion of hinge commitments, which is essential to his solution to the closure-based sceptical arguments. And, in the second par of the paper, I will raise some concerns that I have regarding Pritchard’s non-belief reading of the hinge commitments. In the third and final part, I make some concluding remarks regarding Pritchard’s overall strategy to solve the closure-based sceptical paradox.

Firms engage in corporate social responsibility (CSR) because they consider that some kind of competitive advantage accrues to them. We contend that resource-based perspectives (RBP) are useful to understand why firms engage in CSR activities and disclosure. From a resource-based perspective CSR is seen as providing internal or external benefits, or both. Investments in socially responsible activities may have internal benefits by helping a firm to develop new resources and capabilities which are related namely to know-how and corporate culture. In (...) effect, investing in social responsibility activities and disclosure has important consequences on the creation or depletion of fundamental intangible resources, namely those associated with employees. The external benefits of CSR are related to its effect on corporate reputation. Corporate reputation can be understood as a fundamental intangible resource which can be created or depleted as a consequence of the decisions to engage or not in social responsibility activities and disclosure. Firms with good social responsibility reputation may improve relations with external actors. They may also attract better employees or increase current employees’ motivation, morale, commitment and loyalty to the firm. This article contributes to the understanding of why CSR may be seen as having strategic value for firms and how RBP can be used in such endeavour. (shrink)

After satisfying their quantitative and qualitative needs as regards nutrition, consumers in developed countries are becoming more involved in the ethical aspects of food production, especially when it relates to animal products. Social demands for respecting animal welfare in housing systems are increasing rapidly, as is social awareness of human responsibility towards farm animals. Many studies have been conducted on animal welfare measurement in different production systems, but the available information for small ruminants remains insufficient. In this study, a 75 (...) criteria-evaluation tool has been set up on the basis of the five freedoms concept. Animal welfare considerations have been analyzed in 25 documents, including labeling schemes, regulations, and recommendations from different European countries. The results show many differences between regular and organic small ruminant farming standards. Emergency measures are generally lacking. A weak representation of psychological aspects of animal welfare, especially by the current European legislation, is highlighted. (shrink)

This book focuses on multiculturalism, racism and the interests of nonhuman animals. Each are, in their own right, rapidly growing and controversial fields of enquiry, but how do multiculturalism and racism intersect with the debate concerning animals and their interests? This a deceptively simple question but on that is becoming ever more pressing as we examine our societal practices in a pluralistic world. Collating the work of a diverse group of academics from across the world, the book includes writing on (...) a wide range of subjects and addressing contemporary issues in this critical arena. Subjects covered include multiculturalism, group rights and the limits of tolerance; ethnocentrism and animals; racism and discrimination and non-Western alternatives to animal rights and welfare. The book will be of interest to researchers, lecturers and advanced students as well as range of social justice organisations, government institutions, animal activist organisations and environmental groups. (shrink)

Entende-se que os experimentos mentais são dispositivos da imaginação que podem nos fornecer crenças que constituem conhecimento. John D. Norton apresentou uma abordagem que se tornou influente para explicar como os experimentos mentais científicos podem produzir novos conhecimentos so- bre o mundo. Ele afirma que não há nada distintivo nos experimentos men- tais, uma vez que sustenta que eles funcionam exatamente como argumen- tos. Neste artigo, contestamos sua abordagem. Examinamos aspectos essen- ciais de sua abordagem, que envolvem as noções de (...) “argumento” e “inferên- cia” para mostrar que um sujeito que chega a saber algo através da execução ou condução de um experimento mental dificilmente será considerado como tendo efetivamente executado um argumento ou um processo de raciocínio inferencial. (shrink)

The aim of this paper is to investigate the relationship between information and abductive reasoning in the context of problem-solving, focusing on non-human animals. Two questions guide our investigation: What is the relation between information and abductive reasoning in the context of human and non-human animals? Do non-human animals perform discovery based on inferential processes such as abductive reasoning? In order to answer these questions, we discuss the semiotic concept of information in relation to the concept of abductive reasoning and, (...) more specifically, to the notion of manipulative abduction proposed by Magnani. Finally, we investigate a case study of corvids’ intelligence, namely, their capacity of causal cognition. (shrink)

Philosophy Compass, Volume 17, Issue 8, August 2022.

Delusion is one of the most intriguing psychopathological phenomena and its conceptualization remains the subject of genuine debate. Claims that it is ill-defined, however, are typically grounded on essentialist expectations that a given definition should capture the core of every instance acknowledged as delusion in the clinical setting.

Bioethics, Volume 36, Issue 3, Page 243-251, March 2022.

This edited volume addresses the morality of war from a comparative perspective to develop a cross-cultural and cross-ideological quorum on when it is justifiable to initiate or enter into war and what methods of violence are acceptable once engaged in such a conflict.

A ficção corresponde a um estilo de escrita que sustenta a construção de narrativas capazes de arrancar o escritor de si mesmo em um sentido de, por meio do experimento da própria linguagem, constituir-se esteticamente. Quando observamos as obras de Nietzsche, percebemos que há uma pluralidade de estilos literários, compostos, frequentemente, por aforismos que demandam outro performático: a escrita hiperbólica. Por meio da escrita artística, Nietzsche cria um mundo compreendido como vontade de poder em que dá a si mesmo como (...) personagem dentre outros tipos psicológicos. Já na filosofia de Foucault o traço marcante de suas obras é o tom histórico com o qual aborda seus temas. Porém, como o próprio afirma em algumas entrevistas, não escreve outra coisa que não sejam ficções, seleciona e organiza enunciados históricos criando diversos cenários, sujeitos e objetos de seu discurso. Este estilo presente em ambos entra em contato com o exterior provocando um reposicionamento do leitor, que é afetado promovendo, como efeito de subjetivação, um reposicionamento político de insubmissão de não querer mais ser governado dessa forma. (shrink)

Utopía, la posibilidad de la imposibilidad: una lectura desde Thomas More, es un trabajo que muestra, por un lado, la vitalidad de la utopía; por otro lado se destaca su grado de necesidad en la sociedad contemporánea. La Utopía de Thomas More se presenta como un paradigma del pensamiento utópico, y del influjo que éste ejerce en las diferentes sociedades. Además, ésta se yergue como el epítome de toda posibilidad de visualizar un mejor mundo, es la máxima expresión de la (...) simbología del Renacimiento y es la obra cumbre del humanismo de aquel período histórico. La utopía no es la simple imposibilidad que sugiere su construcción semántica. Utopía es la posibilidad de construir el mejor mundo posible, de volver a ubicar en su perspectiva correcta la esperanza y toda la capacidad simbólica del género humano. (shrink)