The objective of this work was to construct and validate an instrument for assessing resilience to suicide attempts in a Spanish clinical population that has made a previous attempt, and to verify its efficacy for predicting future suicide reattempts at 6 months. For the construction of a Scale of Resilience to Suicide Attempts the theoretical-rational strategy was used. The constructed SRSA-18 consisted of 18 items and 3 subdimensions, had high internal consistency and a high positive correlation with the Suicide Resilience (...) Inventory-25, SRI-25, and to a lesser extent with general resilience scales such as the Connor-Davidson Resilience Scale, CD-RISC and the Resilience Scale of 14 items, RS-14. Additionally, a specific SRSA-18 score predicted future suicide reattempts 6 months after the first attempt. This new scale assesses in a brief and rapid way, through protective factors rather than risk factors, the level of resilience to the suicide attempt in specific clinical subpopulations in hospital emergency services, being able to prevent suicide reattempts with higher lethality. (shrink)

This article addresses ontological negotiations in the Global South through three case studies of community-based research in Brazil and Ghana. We argue that ontological perspectives of Indigenous and other subjugated communities require an ontological pluralism that recognizes the plurality of both representational tools and ways of being in the world. Locating these two readings of ontological pluralism in the politics of the Global South, the article highlights a wider dynamic from ontological paternalism to ontological diversity to ontological decolonization. We conclude (...) by arguing that this dynamic provides important lessons for reorienting agendas in social ontology through Southern Ontologies. (shrink)

This article addresses ontological negotiations in the Global South through three case studies of community-based research in Brazil and Ghana. We argue that ontological perspectives of Indigenous people and local communities require an ontological pluralism that recognizes both the plurality of representational tools and of ways of being in the world. Locating these two readings of ontological pluralism in the politics of the Global South, the article highlights a wider dynamic from ontological paternalism to ontological diversity to ontological decolonization. We (...) conclude by arguing that this dynamic provides important lessons for the state for social ontology in academic philosophy and for the design of politically reflexive development interventions. (shrink)

This chapter contains sections titled: Sweat, Stretch, and Practical Philosophy ‘I'm Spiritual, but not Religious.’ What's the Difference? A ‘Spiritual Science’ is not just an Oxymoron A Bull Market (or a Market of Bull) Any God You Like Into the Future.

Respuesta a los artículos de Joaquín Robles en El Catoblepas y otras intervenciones en los foros de Nódulo.

Sobre psicologismo y filosofía materialista de la religión.

Respuestas a Alfonso Fernández Tresguerres, José Manuel Rodríguez Pardo y Joaquín Robles.

Respuestas a Pelayo Pérez, Joaquín Robles y José Manuel Rodríguez Pardo.

ABSTRACTA conditional is natural if it fulfils the three following conditions. It coincides with the classical conditional when restricted to the classical values T and F; it satisfies the Modus Ponens; and it is assigned a designated value whenever the value assigned to its antecedent is less than or equal to the value assigned to its consequent. The aim of this paper is to provide a ‘bivalent’ Belnap-Dunn semantics for all natural implicative expansions of Kleene's strong 3-valued matrix with two (...) designated elements. (shrink)

As is well known, the variable-sharing property (vsp) is, according to Anderson and Belnap, a necessary property of any relevant logic. In this paper, we shall consider two versions of the vsp, what we label the "weak vsp" (wvsp) and the "strong vsp" (svsp). In addition, the "no loose pieces property," a property related to the wvsp and the svsp, will be defined. Each one of these properties shall generally be characterized by means of a class of logical matrices. In (...) this way, any logic verified by an actual matrix in one of these classes has the property the class generally represents. Particular matrices (and so, logics) in each class are provided. (shrink)

Routley-Meyer Ternary Relational Semantics for Intuitionistic-type Negations examines how to introduce intuitionistic-type negations into RM-semantics. RM-semantics is highly malleable and capable of modeling families of logics which are very different from each other. This semantics was introduced in the early 1970s, and was devised for interpreting relevance logics. In RM-semantics, negation is interpreted by means of the Routley operator, which has been almost exclusively used for modeling De Morgan negations. This book provides research on particular features of intuitionistic-type of negations (...) in RM-semantics, while also defining the basic systems and many of their extensions by using models with or without a set of designated points. (shrink)

A classical result by Słupecki states that a logic L is functionally complete for the 3-element set of truth-values THREE if, in addition to functionally including Łukasiewicz’s 3-valued logic Ł3, what he names the ‘$T$-function’ is definable in L. By leaning upon this classical result, we prove a general theorem for defining binary expansions of Kleene’s strong logic that are functionally complete for THREE.

The well-known logic first degree entailment logic (FDE), introduced by Belnap and Dunn, is defined with |$\wedge $|⁠, |$\vee $| and |$\sim $| as the sole primitive connectives. The aim of this paper is to establish the lattice formed by the class of all 4-valued C-extending implicative expansions of FDE verifying the axioms and rules of Routley and Meyer’s basic logic B and its useful disjunctive extension B|$^{\textrm {d}}$|⁠. It is to be noted that Boolean negation (so, classical propositional logic) (...) is definable in the strongest element in the said class. (shrink)

The role of demographic terminology in the fields of medicine and public health is critical in the identification and allocation of resources to the communities that most benefit from intervention...

This text argues that psychoanalytic philosophy is a valuable tool for the Philosophy of Sport. To situate it within the philosophical tradition, I place Freud’s ideas as an heir to the Philosophy of Impulse of Schopenhauer and Nietzsche. Then, I explain how psychoanalytic philosophy can be understood as a form of hermeneutics, which aligns well with the interests of the field. I also recognise the importance of questioning whether we can consider sports and their events as analysable psychoanalytic facts. To (...) this purpose, I use Paul Ricoeur’s methodological approach, which proposes to analyse collective and common phenomena hermeneutically as psychoanalytic facts. I demonstrate the consistency of this method and adapt it to the Philosophy of Sport. The method involves a triangular operation that analyses psychoanalytic facts by articulating their relationships of meaning (narratives, manifest content, memories and objects), their relationships of force (resistances, neurotic repetitions, symptoms, latent contents and transfers), and psychoanalytic theory. As an example, I apply this method to conduct a micro-psychoanalytic analysis of Brazil’s defeat to Germany in the 2014 FIFA World Cup, which the Brazilian coach referred to as a ‘blanked out’ moment. I observe that the destiny of drives, which Freud understood as the tendency of unconscious material to return to consciousness in the form of commitments to objects and symptoms, is prominent in sports reality. This may encourage us to see the potential of promising interpretations grounded in the Psychoanalytic Philosophy of Sport. (shrink)

This paper is a sequel to ‘Belnap-Dunn semantics for natural implicative expansions of Kleene's strong three-valued matrix with two designated values’, where a ‘bivalent’ Belnap-Dunn semantics is provided for all the expansions referred to in its title. The aim of the present paper is to carry out a parallel investigation for all natural implicative expansions of Kleene's strong 3-valued matrix now with only one designated value.

Belnap and Dunn’s well-known 4-valued logic FDE is an interesting and useful non-classical logic. FDE is defined by using conjunction, disjunction and negation as the sole propositional connectives. Then the question of expanding FDE with an implication connective is of course of great interest. In this sense, some implicative expansions of FDE have been proposed in the literature, among which Brady’s logic BN4 seems to be the preferred option of relevant logicians. The aim of this paper is to define a (...) class of implicative expansions of FDE in whose elements Boolean negation is definable, whence strong logics such as the paraconsistent and paracomplete logic PŁ4 and BN4 itself are definable, in addition to classical propositional logic. (shrink)

Let us refer by MK3 to Kleene’s strong 3-valued matrix. An implicative expansion of MK3 is natural if the conditional function defining it verifies modus ponens, assigns a designated value to a conditional whenever it assigns the same value to its antecedent and its consequent, and, finally, it coincides with the classical conditional function when restricted to the “classical” values ????\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathfrak {t}$$\end{document} and ????\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} (...) \begin{document}$$\mathfrak {f}$$\end{document}. Two are the main results of this paper. (1) It is proven that, from the viewpoint of functional strength, there is only one 3-valued natural implication expansion of MK3 with the variable-sharing property, the logic we dub L3VSP\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${ }^{\text{VSP}}$$\end{document}. (2) It is shown that L3VSP\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${ }^{\text{VSP}}$$\end{document} is a significant and strong logic that can be seen from different perspectives, one of them being to consider it an expansion of classical positive propositional logic. (shrink)

Objectives: Recent legislative changes within the United Kingdom have stimulated professional debate about access to patient data within research. However, there is currently little awareness of public views about such research. The authors sought to explore attitudes of the public, and their lay representatives, towards the use of primary care medical record data for research when patient consent was not being sought.Methods: 49 members of the public and four non-medical members of local community health councils in South Wales, UK gave (...) their views on the value and acceptability of three current research scenarios, each describing access to data without patient consent.Results: Among focus group participants, awareness of research in primary care was low, and the appropriateness of general practitioners as researchers was questioned. There was general support for research but also concerns expressed about data collection without consent. These included lack of respect and patient control over the process. Unauthorised access to data by external agencies was a common fear. Current data collection practices, including population based disease registers elicited much anxiety. The key informants were equally critical of the scenarios and generally less accepting.Conclusions: This exploratory study has highlighted a number of areas of public concern when medical records are accessed for research without patient consent. Public acceptability regarding the use of medical records in research cannot simply be assumed. Further work is required to determine how widespread such views are and to inform those advising on confidentiality issues. (shrink)

We consider the logics determined by the set of all natural implicative expansions of Kleene’s strong 3-valued matrix and select the class of all logics functionally equivalent to Łukasiewicz’s 3-valued logic Ł3. The concept of a “natural implicative matrix” is based upon the notion of a “natural conditional” defined in Tomova.

The logic E4 is related to Brady’s BN4 in a similar way to which Anderson and Belnap’s logic of entailment E is related to their logic of the relevant implication R. In ‘A companion to Brady’s 4-valued relevant logic: the 4-valued logic of entailment E4’, quoted in this paper, three alternatives to BN4 and another three to E4 are summarily introduced in a couple of pages as the only alternatives containing Routley and Meyer’s basic logic B, provided some conditions are (...) fulfilled. The aim of this note is to prove BN4 and its three alternatives are the same logic up to some point, since they are functionally equivalent to each other, as it is the case with E4 and its three alternatives, which are also functionally equivalent to each other; to some extent, E4 is superior to BN4, since the latter is functionally included in the former, but not conversely. (shrink)

A simple Henkin-style completeness proof for Gödel 3-valued propositional logic G3 is provided. The idea is to endow G3 with an under-determined semantics of the type defined by Dunn. The key concept in u-semantics is that of “under-determined interpretation”. It is shown that consistent prime theories built upon G3 can be understood as u-interpretations. In order to prove this fact we follow Brady by defining G3 as an extension of Anderson and Belnap’s positive fragment of First Degree Entailment Logic.

In our paper “A general characterization of the variable-sharing property by means of logical matrices”, a general class of so-called “Relevant logical matrices”, RMLs, is defined. The aim of this paper is to define a class of simpler Relevant logical matrices RMLs′serving the same purpose that RMLs, to wit: any logic verified by an RML′has the variable-sharing property and related properties predicable of the logic of entailment E and of the logic of relevance R.

The logic BN4 was defined by R.T. Brady in 1982. It can be considered as the 4-valued logic of the relevant conditional. E4 is a variant of BN4 that can be considered as the 4-valued logic of entailment. The aim of this paper is to define reduced general Routley-Meyer semantics for BN4 and E4. It is proved that BN4 and E4 are strongly sound and complete w.r.t. their respective semantics.

The logic BN4 can be considered as the 4-valued logic of the relevant conditional and the logic E4, as the 4-valued logic of entailment. The aim of this paper is to endow E4 with a 2-set-up Routley-Meyer semantics. It is proved that E4 is strongly sound and complete w.r.t. this semantics.

The present paper is a sequel to Robles et al. :349–374, 2020. https://doi.org/10.1007/s10849-019-09306-2). A class of implicative expansions of Kleene’s 3-valued logic functionally including Łukasiewicz’s logic Ł3 is defined. Several properties of this class and/or some of its subclasses are investigated. Properties contemplated include functional completeness for the 3-element set of truth-values, presence of natural conditionals, variable-sharing property and vsp-related properties.

In this paper, consistency is understood as the absence of the negation of a theorem, and not, in general, as the absence of any contradiction. We define the basic constructive logic BKc1 adequate to this sense of consistency in the ternary relational semantics without a set of designated points. Then we show how to define a series of logics extending BKc1 within the spectrum delimited by contractionless minimal intuitionistic logic. All logics defined in the paper are paraconsistent logics.

“Weak relevant model structures” (wr-ms) are defined on “weak relevant matrices” by generalizing Brady’s model structure ${\mathcal{M}_{\rm CL}}$ built upon Meyer’s Crystal matrix CL. It is shown how to falsify in any wr-ms the Generalized Modus Ponens axiom and similar schemes used to derive Curry’s Paradox. In the last section of the paper we discuss how to extend this method of falsification to more general schemes that could also be used in deriving Curry’s Paradox.

Routley-Meyer type ternary relational semantics are defined for relevant logics including Routley and Meyer’s basic logic B plus the reductio rule and the disjunctive syllogism. Standard relevant logics such as E and R (plus γ ) and Ackermann’s logics of ‘strenge Implikation’ Π and Π ′ are among the logics considered.

This is a correction to: Gemma Robles, José M. Méndez, A note on functional relations in a certain class of implicative expansions of FDE related to Brady’.

Sylvan and Plumwood’s is the relevant De Morgan minimal logic in the Routley-Meyer semantics with a set of designated points. The aim of this paper is to define the logic and some of its extensions. The logic is the non-relevant De Morgan minimal logic in the Routley-Meyer semantics without a set of designated points.

Este artículo se inscribe en el contexto de un doble programa filosófico: el estudio histórico de las relaciones intelectuales entre un poeta y un filósofo (además poeta), y el análisis de las consecuencias filosóficas de su enfoque común del pensamiento en la poesía. Aureliano Robles, exégeta indiscutible de la obra de Unamuno, muestra cómo tanto Unamuno como Machado prolongaron la perspectiva bíblica sobre la civilización mediante contribuciones críticas estrechamente relacionadas con la enseñanza que ambos recibieron en París de filósofos (...) como Bergson y de varios lingüistas, historiadores del arte y de la cultura. (shrink)

Routley–Meyer semantics (RM-semantics) is defined for Gödel 3-valued logic G3 and some logics related to it among which a paraconsistent one differing only from G3 in the interpretation of negation is to be remarked. The logics are defined in the Hilbert-style way and also by means of proof-theoretical and semantical consequence relations. The RM-semantics is defined upon the models for Routley and Meyer’s basic positive logic B+, the weakest positive RM-semantics. In this way, it is to be expected that the (...) models defined can be adapted to other related many-valued logics. (shrink)

In the first part of this paper (Méndez and Robles 2008) a minimal and an intuitionistic negation is introduced in a wide spectrum of relevance logics extending Routley and Meyer's basic positive logic B+. It is proved that although all these logics have the characteristic paradoxes of consistency, they lack the K rule (and so, the K axiom). Negation is introduced with a propositional falsity constant. The aim of this paper is to build up logics definitionally equivalent to those (...) in the aforementioned paper, negation being now introduced with the unary connective. Relational ternary semantics are provided for the new logics and soundness and completeness results are proved. (shrink)

The story of Somali immigrants in America. Since 2003, Abdi Roble - who came to the US from Somalia in 1989 - and Doug Rutledge have been documenting the lives of Somalis who have fled to camps in Kenya and to the US. This book follows the story of a family as they struggle to survive in Kenya and then in America.

Łukasiewicz three-valued logic Ł3 is often understood as the set of all 3-valued valid formulas according to Łukasiewicz’s 3-valued matrices. Following Wojcicki, in addition, we shall consider two alternative interpretations of Ł3: “well-determined” Ł3a and “truth-preserving” Ł3b defined by two different consequence relations on the 3-valued matrices. The aim of this paper is to provide (by using Dunn semantics) dual equivalent two-valued under-determined and over-determined interpretations for Ł3, Ł3a and Ł3b. The logic Ł3 is axiomatized as an extension of Routley (...) and Meyer’s basic positive logic following Brady’s strategy for axiomatizing many-valued logics by employing two-valued under-determined or over-determined interpretations. Finally, it is proved that “well determined” Łukasiewicz logics are paraconsistent. (shrink)

A logic is relevant if it is a set of formulas closed under adjunction, modus ponens and enjoys the variable sharing property. It is connexive if it has some or all of the versions of Aristotle’s thesis and Boethius’ thesis. It is connexively acceptable if it does not sanction such formulas as the negation of the self-identity axiom. Finally, it is strictly connexive if it does not validate some formula implying (or being implied by) its own negation. Now, it is (...) known that addition of Aristotle’s thesis to a relevant logic does not necessarily result in an acceptable connexive logic. Then, the aim of this paper is to examine the prospects of defining relevant acceptable strictly connexive logics based upon weak relevant logics. (shrink)

The jurisprudence of sport is a recent area of study in the philosophy of sport and in law. It views sports as systems of rules, akin to state legal systems. There are umpires/referees who adjudicate and issue penalties on the field of play. And the rules of cricket, rugby, and association football are called ‘laws’ with good reason. The structure and nature of sports are usually much easier to grasp than a fully-fledged legal system. As a result, lawyers can learn (...) much from them. But the law can equally illuminate contentious questions in sports when philosophers of sport apply well-established legal categories (primary and secondary rules, compensation versus restitution, excuse versus justification, etc.) to games. Since the end of the 20th century, there has been a growing literature and interest in the subject. This entry follows that trajectory. (shrink)

The class of the logics free from paradoxes of relevance determined by all natural implicative expansions of Kleene’s strong 3-valued matrix with two designated values is defined. These logics are free from paradoxes of relevance in the sense that they have the "variable sharing property". They have "natural conditionals" in the sense that the function defining them coincideswith the classical function when restricted to the "classical values", satisfies Modus Ponens and, finally, assigns a designated value to a conditional whenever its (...) antecedent and its consequence are assigned the same value. These logics are defined by using a "two-valued" overdetermined Belnap-Dunn semantics. Thus, the interpretation of the three values is crystalline. The logics here introduced enjoy the properties customarily demanded of many-valued implicative logics except, of course, the satisfaction of the rule "Verum ex quodlibet". (shrink)

This article introduces the special issue on questions, questioning, and institutional practices. We begin by considering how questioning as a discursive practice is a central vehicle for constructing social worlds and reflecting existing ones. Then we describe the different ways questions and question have been defined, typologized, and critiqued, in general and within seven institutions including policing, the courts, medicine, therapy, research interviews, education, and mediated political exchanges. The introduction concludes with a preview of the articles in the special issue.

The logic B M is Sylvan and Plumwood's minimal De Morgan logic. The aim of this paper is to investigate extensions of B M endowed with a quasi-Boolean negation of intuitionistic character included...

Łukasiewicz 3-valued logic Ł3 is often understood as the set of all valid formulas according to Łukasiewicz 3-valued matrices MŁ3. Following Wojcicki, in addition, we shall consider two alternative interpretations of Ł3: ‘truth-preserving’ Ł3a and ‘well-determined’ Ł3b defined by two different consequence relations on the 3-valued matrices MŁ3. The aim of this article is to provide a Routley–Meyer ternary semantics for each one of these three versions of Łukasiewicz 3-valued logic: Ł3, Ł3a and Ł3b.