In this note, the problem of tracking random references and rejecting random perturbations in a quadrotor, both generated by an auxiliary system named exosystem, is solved by extending the deterministic tracking problem to the area of stochastic processes. Besides, it is considered that only a part of the state vector of the quadrotor is available through measurements. As a consequence, the state vector of the plant must be estimated in order to close the control loop. On this basis, a controller (...) to track random references and to reject random perturbations is developed by combining a Kalman filter to estimate the references and perturbations of an exosystem and an observer to estimate the states of a quadrotor. Besides, to obtain a more practical controller, the analysis is carried out in discrete time. Numerical simulations are used in a quadrotor to confirm the validity and effectiveness of the proposed control. (shrink)

We present a mathematical approach to defeasible reasoning based on arguments. This approach integrates the notion of specificity introduced by Poole and the theory of warrant presented by Pollock. The main contribution of this paper is a precise, well-defined system which exhibits correct behavior when applied to the benchmark examples in the literature. It aims for usability rather than novelty. We prove that an order relation can be introduced among equivalence classes of arguments under the equi-specificity relation. We also prove (...) a theorem that ensures the termination of the process of finding the justified facts. Two more lemmas define a reduced search space for checking specificity. In order to implement the theoretical ideas, the language is restricted to Horn clauses for the evidential context. The language used to represent defeasible rules has been restricted in a similar way. The authors intend this work to unify the various existing approaches to argument-based defeasible reasoning. (shrink)

ABSTRACT This article interprets a recently recovered manuscript, Tratado de astronomía y la reformaçión del tiempo, composed by Antonio Sánchez in New Granada c.1696, in the context of the Spanish and Renaissance cosmographies. Sánchez’s Tratado proposes a spherical astronomy, in which celestial bodies – including comets — move in orbs containing pyramidal knots that explain the changing speed observed in the motion of planets. From this astronomy and following the peninsular style of repertorios, Sánchez derives two major conclusions: the corrected (...) length of the solar year and a revised birth date of Jesus. Taking as center of reference Vélez, where Sánchez was based, these claims led to conclusions in domains ranging from calendric astronomy to eschatology, including the incorporation of the indigenous peoples into salvation narrative and a demonstration of the arrangement of the celestial orbs at the Last Judgment. Sánchez’s Tratado constitutes an expansion of the Spanish mathematical cosmography that sheds light on the production of knowledge in the Spanish-American world and, at the same time, provides elements to reassess our understanding of the global circulation of Renaissance and early modern ideas. (shrink)

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Dos pasajes de las Historiae de Curcio Rufo pueden ser leídos en el marco de la tradición de la historiografía romana de incluir discursos de enemigos extranjeros para expresar visiones críticas del imperialismo romano. El discurso de Darío antes de la batalla de Gaugamela (4.14.9-26) y el de un embajador escita (7.8.12-30) son analizados en este trabajo para demostrar que, detrás de una lectura literal de censura a Alejandro Magno, aparece un fuerte reproche a la expansión imperial de Roma.

This work analyzes and characterizes the spread of the COVID-19 disease in Mexico, using complex networks and optimization approaches. Specifically, we present two methodologies based on the principle of the rupture for the GC and Newton's law of motion to quantify the robustness and identify the Mexican municipalities whose population causes a fast spread of the SARS-CoV-2 virus. Specifically, the first methodology is based on several characteristics of the original version of the Vertex Separator Problem, and the second is based (...) on a new mathematical model. By solving VSP, we can find nodes that cause the rupture of the giant component. On the other hand, solving the NLM can find more influential nodes for the entire system’s development. Specifically, we present an analysis using a coupled social network model with information about the main characteristics of the contagion and deaths caused by COVID-19 in Mexico for 19 months. This work aims to show through the approach of complex networks how the spread of the disease behaves, and, thus, researchers from other areas can delve into the characteristics that cause this behavior. (shrink)

Recent work in formal semantics suggests that the language system includes not only a structure building device, as standardly assumed, but also a natural deductive system which can determine when expressions have trivial truth-conditions (e.g., are logically true/false) and mark them as unacceptable. This hypothesis, called the `logicality of language', accounts for many acceptability patterns, including systematic restrictions on the distribution of quantifiers. To deal with apparent counter-examples consisting of acceptable tautologies and contradictions, the logicality of language is often paired (...) with an additional assumption according to which logical forms are radically underspecified: i.e., the language system can see functional terms but is `blind' to open class terms to the extent that different tokens of the same term are treated as if independent. This conception of logical form has profound implications: it suggests an extreme version of the modularity of language, and can only be paired with non-classical---indeed quite exotic---kinds of deductive systems. The aim of this paper is to show that we can pair the logicality of language with a different and ultimately more traditional account of logical form. This framework accounts for the basic acceptability patterns which motivated the logicality of language, can explain why some tautologies and contradictions are acceptable, and makes better predictions in key cases. As a result, we can pursue versions of the logicality of language in frameworks compatible with the view that the language system is not radically modular vis-a-vis its open class terms and employs a deductive system that is basically classical. (shrink)

Bi-intuitionistic logic is the result of adding the dual of intuitionistic implication to intuitionistic logic. In this note, we characterize the expressive power of this logic by showing that the first order formulas equivalent to translations of bi-intuitionistic propositional formulas are exactly those preserved under bi-intuitionistic directed bisimulations. The proof technique is originally due to Lindstrom and, in contrast to the most common proofs of this kind of result, it does not use the machinery of neither saturated models nor elementary (...) chains. (shrink)

Recent descendants of David Lewis, such as Stephen Torre, Dilip Ninan, and Dirk Kindermann have utilized multi-centered propositions, which are roughly sets of possible worlds centered on a sequence of individuals, to characterize the content of attitudes. In an attempt to explain counterfactual attitudes such as wishing and imagining, Ninan (2012, 2013) developed a more fine-grained characterization of multi-centered propositions than others in the multi-centered camp. While Ninan provides a systematic explanation of the nature of de se attitudes (attitudes one (...) expresses with first-person pronouns like ‘I’ or ‘me’), the nature of other types of indexical attitudes (attitudes one expresses with indexical terms like ‘you,’ ‘today,’ ‘now,’) is not explored. This paper does two things. First, it demonstrates how we can account for indexical attitudes within Ninan’s framework. This, however, has the consequence of generating propositions of limited accessibility of sorts, which in turn conflict with a received and simple model of linguistic communication. According to this simple model, successful communication consists of the transmission of mental content from speaker to hearer. Second, in light of this conflict, the paper proposes an adjustment to Ninan’s theory in order to avoid commitment to propositions of limited accessibility, and thus preserve the shareability of attitudinal content from speaker to hearer. (shrink)

Lindström’s theorem obviously fails as a characterization of first-order logic without identity ( $\mathcal {L}_{\omega \omega }^{-} $ ). In this note, we provide a fix: we show that $\mathcal {L}_{\omega \omega }^{-} $ is a maximal abstract logic satisfying a weak form of the isomorphism property (suitable for identity-free languages and studied in [11]), the Löwenheim–Skolem property, and compactness. Furthermore, we show that compactness can be replaced by being recursively enumerable for validity under certain conditions. In the proofs, we (...) use a form of strong upwards Löwenheim–Skolem theorem not available in the framework with identity. (shrink)

The meaning that expressions take on particular occasions often depends on the context in ways which seem to transcend its direct effect on context-sensitive parameters. ‘Truth-conditional pragmatics’ is the project of trying to model such semantic flexibility within a compositional truth-conditional framework. Most proposals proceed by radically ‘freeing up’ the compositional operations of language. I argue, however, that the resulting theories are too unconstrained, and predict flexibility in cases where it is not observed. These accounts fall into this position because (...) they rarely, if ever, take advantage of the rich information made available by lexical items. I hold, instead, that lexical items encode both extension and non-extension determining information. Under certain conditions, the non-extension determining information of an expression e can enter into the compositional processes that determine the meaning of more complex expressions which contain e. This paper presents and motivates a set of type-driven compositional operations that can access non-extension determining information and introduce bits of it into the meaning of complex expressions. The resulting multidimensional semantics has the tools to deal with key cases of semantic flexibility in appropriately constrained ways, making it a promising framework to pursue the project of truth-conditional pragmatics. (shrink)

This paper is a step toward showing what is achievable using non-classical metatheory—particularly, a substructural paraconsistent framework. What standard results, or analogues thereof, from the classical metatheory of first order logic can be obtained? We reconstruct some of the originals proofs for Completeness, Löwenheim-Skolem and Compactness theorems in the context of a substructural logic with the naive comprehension schema. The main result is that paraconsistent metatheory can ‘re-capture’ versions of standard theorems, given suitable restrictions and background assumptions; but the shift (...) to non-classical logic may recast the meanings of these apparently ‘absolute’ theorems. (shrink)

ABSTRACTImmigrant origin children and youth are now, and will continue to be, a diverse and demographically important segment of all post-industrial nations’ populations. In order to realize their potential, receiving contexts will need to find effective ways to integrate them into the fabric of their society. Using an ethic of care approach, we must begin by taking a comprehensive perspective on integration, which incorporates both a risk and resilience framework and an ecological perspective. A number of practices have emerged that (...) have promise for positive implications for the schooling performance and educational integration of immigrant students These practices include 1 – short-term newcomer programs; 2 – specialized services for Students with Interrupted Formal Education; 3 – sustained services focused on new language development; 4 – services focused on heritage language development; 5 – providing explicit college pathway knowledge; 6 – summer and after-school academic enrichment programs; 7 – facilitating parental involvement ; and 8 – advisory groups, after-school academic supports, mentoring and health services, and postsecondary supports. Providing the kinds of ecologies of care outlined here will go a long way toward helping these children and youth thrive and become the kinds of contributing members to their new society that will serve our collective future well. (shrink)

This paper is devoted to the problem of existence of saturated models for first-order many-valued logics. We consider a general notion of type as pairs of sets of formulas in one free variable that express properties that an element of a model should, respectively, satisfy and falsify. By means of an elementary chains construction, we prove that each model can be elementarily extended to a $\kappa $-saturated model, i.e. a model where as many types as possible are realized. In order (...) to prove this theorem we obtain, as by-products, some results on tableaux and their consistency and satisfiability and a generalization of the Tarski–Vaught theorem on unions of elementary chains. Finally, we provide a structural characterization of $\kappa $-saturation in terms of the completion of a diagram representing a certain configuration of models and mappings. (shrink)

Recent work in formal semantics suggests that the language system includes not only a structure building device, as standardly assumed, but also a natural deductive system which can determine when expressions have trivial truth‐conditions (e.g., are logically true/false) and mark them as unacceptable. This hypothesis, called the ‘logicality of language’, accounts for many acceptability patterns, including systematic restrictions on the distribution of quantifiers. To deal with apparent counter‐examples consisting of acceptable tautologies and contradictions, the logicality of language is often paired (...) with an additional assumption according to which logical forms are radically underspecified: i.e., the language system can see functional terms but is ‘blind’ to open class terms to the extent that different tokens of the same term are treated as if independent. This conception of logical form has profound implications: it suggests an extreme version of the modularity of language, and can only be paired with non‐classical—indeed quite exotic—kinds of deductive systems. The aim of this paper is to show that we can pair the logicality of language with a different and ultimately more traditional account of logical form. This framework accounts for the basic acceptability patterns which motivated the logicality of language, can explain why some tautologies and contradictions are acceptable, and makes better predictions in key cases. As a result, we can pursue versions of the logicality of language in frameworks compatible with the view that the language system is not radically modular vis‐á‐vis its open class terms and employs a deductive system that is basically classical. (shrink)

Excelente iniciativa de publicar escritos éditos e inéditos de José Torres Orozco, uno de los últimos representantes del positivismo en México. Juan Hernández Luna presenta los aspectos biográficos del autor como su posición dentro del positivismo mexicano. Es de interés señalar que entre los escritos filosóficos hay varios dedicados a Nietzche. Entre los psicológicos, uno de 1922 se ocupa de Freud"--Handbook of Latin American Studies, v. 58.

The complex societal challenges of the twenty-first Century require scientific researchers and academically educated professionals capable of conducting scientific research in complex problem contexts. Our central claim is that educational approaches inspired by a traditional empiricist epistemology insufficiently foster the required deep conceptual understanding and higher-order thinking skills necessary for epistemic tasks in scientific research. Conversely, we argue that constructivist epistemologies provide better guidance to educational approaches to promote research skills. We also argue that teachers adopting a constructivist learning theory (...) do not necessarily embrace a constructivist epistemology. On the contrary, in educational practice, novel educational approaches that adopt constructivist learning theories often maintain traditional empiricist epistemologies. Philosophers of science can help develop educational designs focused on learning to conduct scientific research, combining constructivist learning theory with constructivist epistemology. We illustrate this by an example from a bachelor’s program in Biomedical Engineering, where we introduce conceptual models and modeling as an alternative to the traditional focus on hypothesis testing in conducting scientific research. This educational approach includes the so-called B&K method for constructing scientific models to scaffold teaching and learning conceptual modeling. (shrink)

O artigo – desde uma perspectiva da educação como direito humano universal que reconhece a diversidade – realiza um recorrido panorâmico por uma série de dimensões da educação intercultural no ensino superior do Chile, especialmente universitária, discute criticamente a situação atual da interculturalização na universidade – entendida genericamente – e conclui com algumas perguntas que podem orientar pesquisas ou decisões que levem a que o ensino superior considere os direitos indígenas, permita a expressão de sua cultura, promova a interculturalidade, forme (...) os técnicos e profissionais que requerem o desenvolvimento da sociedade e das comunidades e enriqueça a docência e a ciência com outros paradigmas de conhecimento. Desse modo, que reconheça e valide a interculturalidade e os aportes das culturas indígenas a sua identidade, formação e produção de conhecimento. Trata das comunidades e dos estudantes indígenas em geral, mas aprofunda a situação desde o povo mapuche, embasando-se em projetos de pesquisa e desenvolvimento e em experiências em e desde a Região da Araucanía. A proposta se centra na ideia de que o direito à educação, desde a lei e inconstitucionalidade atual, se centra no sistema escolar formal de ensino básico e médio e não considera a educação superior ou a um sistema de educação continuado como direito universal, no qual poderia se especificar uma condição especial aos estudantes indígenas. Por isso, hoje se luta pela igualdade de oportunidades de inclusão entre indígenas e não indígenas. Palavras-chave: Ensino Superior. Interculturalidade. Cultura mapuche. (shrink)

Under a proper translation, the languages of propositional (and quantified relevant logic) with an absurdity constant are characterized as the fragments of first order logic preserved under (world-object) relevant directed bisimulations. Furthermore, the properties of pointed models axiomatizable by sets of propositional relevant formulas have a purely algebraic characterization. Finally, a form of the interpolation property holds for the relevant fragment of first order logic.

Despite recognizing the importance of impact investing in combating complex societal challenges, researchers have yet to examine the capacity of the field to address systemic inequality. While impact investments are intended to benefit vulnerable stakeholders, the voices of those stakeholders are generally overlooked in the design and implementation of such investments. To resolve this oversight, we theorize how the fields’ design—through its tools, organizations, and field-level bodies—influences its capacity to address inequality by focusing on the concept of giving voice, which (...) we define as the inclusive participation of vulnerable stakeholders in decision-making processes. We build from stakeholder engagement research to show how the design of impact investing can address inequality using three illustrative cases: social impact bonds, impact investing funds, and national advisory boards. We conclude with a discussion of how the ethical decision of giving voice to vulnerable stakeholders will determine the capacity of the field to address inequality, as well as provide implications for future research and practice. (shrink)

We generalize the notion ofconsequence relationstandard in abstract treatments of logic to accommodate intuitions ofrelevance. The guiding idea follows theuse criterion, according to which in order for some premises to have some conclusion(s) as consequence(s), the premises must each beusedin some way to obtain the conclusion(s). This relevance intuition turns out to require not just a failure of monotonicity, but also a move to considering consequence relations as obtaining betweenmultisets. We motivate and state basic definitions of relevant consequence relations, both (...) in single conclusion (asymmetric) and multiple conclusion (symmetric) settings, as well as derivations and theories, guided by the use intuitions, and prove a number of results indicating that the definitions capture the desired results (at least in many cases). (shrink)

According to Kratzer’s influential account of epistemic must and might, these operators involve quantification over domains of possibilities determined by a modal base and an ordering source. Recently, this account has been challenged by invoking contexts of ‘epistemic tension’: i.e., cases in which an assertion that must\ is conjoined with the possibility that \, and cases in which speakers try to downplay a previous assertion that must\, after finding out that \. Epistemic tensions have been invoked from two directions. Von (...) Fintel and Gillies :351–383, 2010) propose a return to a simpler modal logic-inspired account: must and might still involve universal and existential quantification, but the domains of possibilities are determined solely by realistic modal bases. In contrast, Lassiter :117–163, 2016), following Swanson, proposes a more revisionary account which treats must and might as probabilistic operators. In this paper, we present a series of experiments to obtain reliable data on the degree of acceptability of various contexts of epistemic tension. Our experiments include novel variations that, we argue, are required to make progress in this debate. We show that restricted quantificational accounts à la Kratzer fit the overall pattern of results better than either of their recent competitors. In addition, our results help us identify the key components of restricted quantificational accounts, and on that basis propose some refinements and general constraints that should be satisfied by any account of the modal auxiliaries. (shrink)

In this note we study a counterpart in predicate logic of the notion of logical friendliness, introduced into propositional logic in [15]. The result is a new consequence relation for predicate languages with equality using first-order models. While compactness, interpolation and axiomatizability fail dramatically, several other properties are preserved from the propositional case. Divergence is diminished when the language does not contain equality with its standard interpretation.

This paper shows the brain correlates of Cloninger’s personality model during the presentation of social scenarios under positive or negative valence situations. Social scenarios were constructed when participants played the Dictator game with two confederates that had two opposites roles as the cooperator and non-cooperator. Later the same day during a fMRI scanning session, participants read negative and positive situations that happened to confederates in the past. Participants were asked to think “how do you think those people felt during that (...) situation?” A dissimilarity matrix between stimuli were obtained from fMRI results. Results shown that Harm Avoidance trait people make use of right middle frontal gyrus and left superior frontal gyrus to discriminate between Coop and NoCoop. Cooperation as a trait makes use of the right superior temporal gyrus and the right precuneus to discriminate between Coop and NoCoop in positive social scenarios. Finally, Self-directedness trait people make use of the right inferior parietal lobe to discriminate between Coop and NoCoop in negative social scenarios and the right precuneus to discriminate between Coop and Strangers. An intuitive link between discrimination findings and behavioral patterns of those personality traits is proposed. (shrink)

We show that propositional intuitionistic logic is the maximal abstract logic satisfying a certain form of compactness, the Tarski union property, and preservation under asimulations.

Este trabajo pretende preguntarse si, a pesar del “silencio” de Heidegger ante la teoría de los géneros poéticos de Hölderlin, no es esta misma teoría, y especialmente el poema lírico que caracteriza a la modernidad, la cuestión en la cual se apoya Heidegger para fundamentar su “historia del ser”, de modo que la noción fuerte de _historia _que se maneja en su obra y finalmente el término marcado _das Ereignis _estaría en sintonía con los “trayectos poéticos” que Hölderlin teoriza.

The logicality of language is the hypothesis that the language system has access to a ‘natural’ logic that can identify and filter out as unacceptable expressions that have trivial meanings—that is, that are true/false in all possible worlds or situations in which they are defined. This hypothesis helps explain otherwise puzzling patterns concerning the distribution of various functional terms and phrases. Despite its promise, logicality vastly over-generates unacceptability assignments. Most solutions to this problem rest on specific stipulations about the properties (...) of logical form—roughly, the level of linguistic representation which feeds into the interpretation procedures—and have substantial implications for traditional philosophical disputes about the nature of language. Specifically, contextualism and semantic minimalism, construed as competing hypotheses about the nature and degree of context-sensitivity at the level of logical form, suggest different approaches to the over-generation problem. In this paper, I explore the implications of pairing logicality with various forms of contextualism and semantic minimalism. I argue that to adequately solve the over-generation problem, logicality should be implemented in a constrained contextualist framework. (shrink)

This paper defines a Sahlqvist fragment for relevant logic and establishes that each class of frames in the Routley-Meyer semantics which is definable by a Sahlqvist formula is also elementary, that is, it coincides with the class of structures satisfying a given first order property calculable by a Sahlqvist-van Benthem algorithm. Furthermore, we show that some classes of Routley-Meyer frames definable by a relevant formula are not elementary.

Para Habermas, “el fenómeno que nos inquieta es la imprecisión de lasfronteras entre la naturaleza que somos y la dotación orgánica que nosdamos” (Habermas, 2002, pág. 37). Resalta insistentemente la diferenciaentre “lo que somos por naturaleza” de lo “hecho” o “crecido”, evitandoa toda costa que se pueda dar cualquier ambigüedad en los límites. Seexpondrá qué procesos culturales, además de la “naturaleza”, han estadodándonos tanto cuerpo físico como cuerpo social; por lo tanto, la fronterase ha desvanecido. Urge entonces preguntarse si bajo (...) estas circunstancias seestaría modificando, en sus términos, la autocomprensión ética de la especie. (shrink)

Erudition as a cultist topic and style, recreated in countless traditional sources, helps Colombian writer R. H. Moreno-Durán to establish a delicate equilibrium between the parodic forms of linguistics research and the recreational contents that reflect the thinking conscience of men and the dialogic sphere of their existence. All these elements are present in his novel, El toque de Diana (Diana’s touch) and are conjugated to the theoretical contribution of Mijail Bajtín, and they make it possible to explain the exploration (...) of a fictional legacy that depends on the willful language of its characters to metaphorize the unfinished and multifaceted character of a violent society, in continuous crisis, such as the Colombian society. (shrink)