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68A Bit of Connexivity Around the Field of Ordinary ConditionalsAustralasian Philosophical Review 4 (2): 156-161. 2020.ABSTRACT In this brief note we explore a couple of features of the semantics for indicative conditionals provided by Field. Those features strikingly resemble some controversial principles in connexive logic. We will show that although Field’s semantics has the technical means to stand to the mentioned features, more work is needed to make some of its outcomes less unintuitive.
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64The Effect of School Psychologists and Social Workers on School Achievement and Failure: A National Multilevel Study in ChileFrontiers in Psychology 12. 2021.School achievement and failure have become growing political and social concerns due to the negative consequences of school failure for individuals and society. The inclusive educational movement, which calls for equal access, permanence, participation, and promotion of all students worldwide, poses many challenges for schools and school systems. As a public policy strategy, some countries have provided additional funds for incorporating non-teaching professionals such as school psychologists an…Read more
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187Estrada-Gonzalez-Olmedo-Garcia_On-the-plenitude-of-truth.-A-defense-of-trivialism-by-Paul-Kabay2
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129Weakened semantics and the traditional square of oppositionLogica Universalis 2 (1): 155-165. 2008.. In this paper we present a proposal that (i) could validate more relations in the square than those allowed by classical logic (ii) without a modification of canonical notation neither of current symbolization of categorical statements though (iii) with a different but reliable semantics.
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108Variable Sharing in Connexive LogicJournal of Philosophical Logic 50 (6): 1377-1388. 2021.However broad or vague the notion of connexivity may be, it seems to be similar to the notion of relevance even when relevance and connexive logics have been shown to be incompatible to one another. Relevance logics can be examined by suggesting syntactic relevance principles and inspecting if the theorems of a logic abide to them. In this paper we want to suggest that a similar strategy can be employed with connexive logics. To do so, we will suggest some properties that seem to be hinted at in…Read more
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66The logical bases of contradictory Christology: comments on The Contradictory Christ, Ch. 2Manuscrito 44 (4): 340-362. 2021.Beall has given more or less convincing arguments to the effect that neither classical logic, nor K3, nor LP, nor S3 can play the role he expects from logic: to be the basement theory for all true theories, including true theology. However, he has not considered all the pertinent competitors, and he has not given any reassurance that he has not gone too low in the hierarchy of logics to find his desired “universal closure of all true theories”. In this paper, I put forward those additional argum…Read more
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40The classicality of classical MathematicsJournal of the Indian Council of Philosophical Research 34 (2): 365-377. 2017.PurposeGraham Priest has recently argued that the distinctive trait of classical mathematics is that the conditional of its underlying logic—that is, classical logic—is extensional. In this article, I aim to present an alternate explanation of the specificity of classical mathematics.MethodI examine Priest's argument for his claim and show its shortcomings. Then I deploy a model-theoretic presentation of logics that allows comparing them, and the mathematics based on them, more fine-grainedly.Re…Read more
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103On the Meaning of Connectives (Apropos of a Non-Necessitarianist Challenge)Logica Universalis 5 (1): 115-126. 2011.According to logical non-necessitarianism, every inference may fail in some situation. In his defense of logical monism, Graham Priest has put forward an argument against non-necessitarianism based on the meaning of connectives. According to him, as long as the meanings of connectives are fixed, some inferences have to hold in all situations. Hence, in order to accept the non-necessitarianist thesis one would have to dispose arbitrarily of those meanings. I want to show here that non-necessitari…Read more
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58Non-conditional Contracting ConnectivesIn Mojtaba Mojtahedi, Shahid Rahman & MohammadSaleh Zarepour (eds.), Mathematics, Logic, and their Philosophies: Essays in Honour of Mohammad Ardeshir, Springer. pp. 349-364. 2021.It has been claimed that contracting connectivesContracting connective are conditionalsConditional. Our modest aim here is to show that the conditional-like features of a contracting connectiveContracting connective depend on the defining features of the conditionalConditional in a particular logic, yes, but they also depend on the underlying notion of logical consequence and the structure of the collection of truth values. More concretely, we will show that under P-consequenceP-consequence and …Read more
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237Models of Possibilism and TrivialismLogic and Logical Philosophy 21 (2): 175-205. 2012.In this paper I probe the idea that neither possibilism nor trivialism could be ruled out on a purely logical basis. I use the apparatus of relational structures used in the semantics for modal logics to engineer some models of possibilism and trivialism and I discuss a philosophical stance about logic, truth values and the meaning of connectives underlying such analysis
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55Complement-Topoi and Dual Intuitionistic LogicAustralasian Journal of Logic 9 26-44. 2010.Mortensen studies dual intuitionistic logic by dualizing topos internal logic, but he did not study a sequent calculus. In this paper I present a sequent calculus for complement-topos logic, which throws some light on the problem of giving a dualization for LJ.
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96An Easy Road to Multi-contra-classicalityErkenntnis 88 (6): 2591-2608. 2023.A contra-classical logic is a logic that, over the same language as that of classical logic, validates arguments that are not classically valid. In this paper I investigate whether there is a single, non-trivial logic that exhibits many features of already known contra-classical logics. I show that Mortensen’s three-valued connexive logic _M3V_ is one such logic and, furthermore, that following the example in building _M3V_, that is, putting a suitable conditional on top of the \(\{\sim, \wedge,…Read more
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106A Brief Note on Béziau’s “Rather Trivial Theorem” About LPLogic and Logical Philosophy 28 (2): 355-361. 2019.Béziau has recently argued that the logic LP commits dialetheists to trivialism and Martin has pointed out very clearly the main problems with that alleged result. My sole purpose here is to make the spirit of Martin’s reply more concise, exhibiting as clearly as possible the logical defects in Béziau’s reasoning. Additionally, I want to make some remarks on LP qua logic and not only as an interpreted language.
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45La novedad de la Liturgia CatólicaIsidorianum 19 (38): 439-454. 2023.A partir de la distinción entre culto genéricamente religioso y culto cristiano se reflexiona sobre la novedad de la Liturgia cristiana, en cuya naturaleza pesa más la dimensión descendente, o sea, su cualidad de ser actualización, aquí y hoy, del Misterio de Cristo que la dimensión cultual o ascendente, o sea la glorificación de Dios.
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53Liturgia es, sobre todo, celebrar. Nota sobre el arte de celebrar y de participarIsidorianum 20 (39): 115-136. 2023.Recientemente se han ido introduciendo progresivamente en el discurso litúrgico dos cuestiones que se relacionan estrechamente con la noción teológica de la Liturgia y con la Pastoral litúrgica en acto: la cuestión del arte de celebrar y la del arte de participar. En esta nota recojo algunas consideraciones sobre ambas cuestiones partiendo de la noción de celebración que privilegia la Constitución de Liturgia.
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76Sí hay negación lógicaCritica 52 (155): 55-72. 2020.En este artículo discutimos la tesis de Jc Beall según la cual no hay negación lógica. Evaluamos la solidez del argumento con el que defiende su tesis y presentamos dos razones para rechazar una de sus premisas: que la negación tiene que ser excluyente o exhaustiva. La primera razón involucra una presentación alternativa de las reglas de la negación en sistemas de secuentes diferentes al que Beall presupone. La segunda razón establece que la negación no tiene que ser excluyente o exhaustiva.
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38Condiciones personales para la participación activa en la liturgia. A propósito del nº 55 de "Sacramentum Caritatis"Isidorianum 21 (41): 121-132. 2023.Esta nota, que resume una conferencia pronunciada en octubre de 2011 en las Jornadas Nacionales de Liturgia de Barcelona, analiza y estudia la aportación de Sacramentum Caritatis al importante tema de la participación activa de los fieles en la liturgia. El autor concluye, entre otras cosas, que la sutil distinción entre condiciones personales para la participación y la participación misma enriquece el concepto de actuosa participatio acentuando sus dimensiones más hondas desde el punto de vista…Read more
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59Errata en La diferencia entre lógicas y el cambio de significado de las conectivas:Un enfoque categoristaTheoria: Revista de Teoría, Historia y Fundamentos de la Ciencia 26 (3): 369. 2011.
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40Sobre la formación profesionalEikasia Revista de Filosofía 99 139-156. 2022.Reflexiones en torno a la formación profesional española.
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72An Analysis of Poly-connexivityStudia Logica 110 (4): 925-947. 2022.Francez has suggested that connexivity can be predicated of connectives other than the conditional, in particular conjunction and disjunction. Since connexivity is not any connection between antecedents and consequents—there might be other connections among them, such as relevance—, my question here is whether Francez’s conjunction and disjunction can properly be called ‘connexive’. I analyze three ways in which those connectives may somehow inherit connexivity from the conditional by standing i…Read more
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88Incorporating the Relation into the Language?Logic and Logical Philosophy 30 (4). 2021.In this paper we discuss whether the relation between formulas in the relating model can be directly introduced into the language of relating logic, and present some stances on that problem. Other questions in the vicinity, such as what kind of functor would be the incorporated relation, or whether the direct incorporation of the relation into the language of relating logic is really needed, will also be addressed.
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189History in the Mexican Society of TodayDiogenes 32 (125): 75-88. 1984.The presence of the past is of prime importance in today's Mexican society. According to José Fuentes Mares, among the “peoples of the world the Mexican is the one who lives history the most”. With regard to the unsatisfactory relations between Mexico and North America, the journalist Alan Riding asks himself: “How can a people who relish the past to the point of intoxication understand another that looks constantly to the future?” In the Republic of Mexico, according to him, “the entire past of…Read more
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146Contributions of Individual, Family, and School Characteristics to Chilean Students’ Social Well-Being at SchoolFrontiers in Psychology 12. 2021.Schools are an essential part of students’ lives and can promote and facilitate their well-being. Although research on well-being among school-aged children and adolescents has distinguished subjective well-being from social well-being, very few studies examined student’s social well-being at school. SWS is understood as students’ valuation of the circumstances and functioning of their school. This framework posits that the context of the schools can shape students’ perception of feeling integra…Read more
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18You are not a selective realist-dialetheistRevista Colombiana de Filosofía de la Ciencia 19 (39): 263-268. 2020.In her, Martínez-Ordaz puts forward an argument whose conclusion pretends to be a dilemma for selective realists: either selective realists cannot rule true contradictions out or the usual characterization of selective realism is incomplete. Then she argues that one should take the second horn and complete such a characterization with some logical constraints. In this note, I will defend that her argument for the dilemma is flawed at several steps and, moreover, that the dilemma is not dangerous…Read more
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158A Nelsonian Response to ‘the Most Embarrassing of All Twelfth-century Arguments’History and Philosophy of Logic 41 (2): 101-113. 2019.Alberic of Paris put forward an argument, ‘the most embarrassing of all twelfth-century arguments’ according to Christopher Martin, which shows that the connexive principles contradict some other logical principles that have become deeply entrenched in our most widely accepted logical theories. Building upon some of Everett Nelson’s ideas, we will show that the steps in Alberic of Paris’ argument that should be rejected are precisely the ones that presuppose the validity of schemas that are nowa…Read more
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83An Introduction to the Philosophy of LogicCambridge University Press. 2019.Philosophy of logic is a fundamental part of philosophical study, and one which is increasingly recognized as being immensely important in relation to many issues in metaphysics, metametaphysics, epistemology, philosophy of mathematics, and philosophy of language. This textbook provides a comprehensive and accessible introduction to topics including the objectivity of logical inference rules and its relevance in discussions of epistemological relativism, the revived interest in logical pluralism…Read more
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102The Divinity of Rāma in the Rāmāyaṇaof VālmīkiJournal of Indian Philosophy 34 (3): 203-220. 2005.
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22Prospects for TrivialityIn Peter Verdée & Holger Andreas (eds.), Logical Studies of Paraconsistent Reasoning in Science and Mathematics, Springer Verlag. pp. 81-89. 2016.In this paper I argue, contra Mortensen, that there is a case, namely that of a degenerate topos, an extremely simple mathematical universe in which everything is true, in which no mathematical “catastrophe” is implied by mathematical triviality. I will show that either one of the premises of Dunn’s trivialization result for real number theory –on which Mortensen mounts his case– cannot obtain (from a point of view “external” to the universe) and thus the argument is unsound, or that it obtains …Read more
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95Beyond Toleration? Inconsistency and Pluralism in the Empirical SciencesHumana Mente 10 (32). 2017.Nowadays there is a growing tendency in the philosophy of science to think that some phenomena cannot be exhaustively explained, or even described, by a single theory or a particular approach. Thus, we are occasionally required to use various approaches in order to give account of the phenomenon we are analyzing. And sometimes, we can appreciate this as an invitation to be pluralist in certain respects about our understanding of a particular aspect in science. During the last decade applications…Read more