In this paper we study a new approach to classify mathematical theorems according to their computational content. Basically, we are asking the question which theorems can be continuously or computably transferred into each other? For this purpose theorems are considered via their realizers which are operations with certain input and output data. The technical tool to express continuous or computable relations between such operations is Weihrauch reducibility and the partially ordered degree structure induced by it. We have identified certain choice (...) principles such as co-finite choice, discrete choice, interval choice, compact choice and closed choice, which are cornerstones among Weihrauch degrees and it turns out that certain core theorems in analysis can be classified naturally in this structure. In particular, we study theorems such as the Intermediate Value Theorem, the Baire Category Theorem, the Banach Inverse Mapping Theorem, the Closed Graph Theorem and the Uniform Boundedness Theorem. We also explore how existing classifications of the Hahn—Banach Theorem and Weak Kőnig's Lemma fit into this picture. Well-known omniscience principles from constructive mathematics such as LPO and LLPO can also naturally be considered as Weihrauch degrees and they play an important role in our classification. Based on this we compare the results of our classification with existing classifications in constructive and reverse mathematics and we claim that in a certain sense our classification is finer and sheds some new light on the computational content of the respective theorems. Our classification scheme does not require any particular logical framework or axiomatic setting, but it can be carried out in the framework of classical mathematics using tools of topology, computability theory and computable analysis. We develop a number of separation techniques based on a new parallelization principle, on certain invariance properties of Weihrauch reducibility, on the Low Basis Theorem of Jockusch and Soare and based on the Baire Category Theorem. Finally, we present a number of metatheorems that allow to derive upper bounds for the classification of the Weihrauch degree of many theorems and we discuss the Brouwer Fixed Point Theorem as an example. (shrink)

The classical Hahn–Banach Theorem states that any linear bounded functional defined on a linear subspace of a normed space admits a norm-preserving linear bounded extension to the whole space. The constructive and computational content of this theorem has been studied by Bishop, Bridges, Metakides, Nerode, Shore, Kalantari Downey, Ishihara and others and it is known that the theorem does not admit a general computable version. We prove a new computable version of this theorem without unrolling the classical proof of the (...) theorem itself. More precisely, we study computability properties of the uniform extension operator which maps each functional and subspace to the set of corresponding extensions. It turns out that this operator is upper semi-computable in a well-defined sense. By applying a computable version of the Banach–Alaoglu Theorem we can show that computing a Hahn–Banach extension cannot be harder than finding a zero in a compact metric space. This allows us to conclude that the Hahn–Banach extension operator is ${\bf {\Sigma^{0}_{2}}}$ -computable while it is easy to see that it is not lower semi-computable in general. Moreover, we can derive computable versions of the Hahn–Banach Theorem for those functionals and subspaces which admit unique extensions. (shrink)

Como dice en la presentación de esta obra el profesor Javier Sánchez Cañizares, director del Grupo Ciencia, Razón y Fe (CRYF) de la Universidad de Navarra, los autoreshan tomado sobre sí, cada uno, la plena responsabilidad respecto de las verdades en las que sostienen a diario sus vidas. Han aceptado el desafío de acoger valientemente el empeño de pensar los problemas actuales, de modo interdisciplinar, para intentar iluminar los retos que presenta la sociedad de nuestros días. Es por esto que (...) el profesor Sergio Sánchez-Migallón señala en el prólogo de este libro que Jorge Martín Montoya Camacho y José Manuel Giménez Amaya «se comprometen con sus páginas porque hablan de lo que nos pasa y de lo que nos espera, así como de lo que nosotros miramos o dejamos de ver. No se habla aquí solo de ideas, ni solo de diagnósticos de algo ajeno al investigador. Se tratan problemas de los que todos somos en alguna medida responsables: y los filósofos no menos que los científicos, ni los creyentes menos que los increyentes». (shrink)

CONTENIDO: Itinerarios nietzscheanos / Aníbal Córdoba M. / - Nietzscher y la historia / Luis Antonio Restrepo A. / - Lenguaje, genealogía e interpretación / Jairo Montoya G. / - El amor y la muerte en la vida y el pensamiento de Nietzsche / Carlos Mario González R. / - La caverna de la interpretación / Jorge Mario Mejía T. / - Genealogía y poder / Jean Paul Margot / - Nietzche y la escritura / Jorge Alberto Naranjo M. (...) / - Salud, enfermedad, música. Reflexiones sobre la filosofía de Friedrich Nietzsche / Javier Escobar I / - Nietzche y Deleuze: encuentros / Juan Gonzalo Moreno V. (shrink)

Normative theories of argumentation tend to assume that logical and dialectical rules suffice to ensure the rationality of argumentative discourse. Yet, in everyday debates people use arguments that seem valid in light of such rules but nonetheless biased and tendentious. This article seeks to show that the rationality of argumentation can only be fully promoted if we take into account its ethical dimension. To substantiate this claim, I review some of the empirical evidence indicating that people’s inferential reasoning is systematically (...) affected by a variety of biases and heuristics. Insofar as these cognitive illusions are typically unintentional, it appears that arguers may be biased despite their well-intended efforts to follow the rules of critical argumentation. Nevertheless, I argue that people remain responsible for the rationality of their arguments, given that there are a number of measures that they can (and ought to) take to avoid such distortions. I highlight the importance of argumentational virtues and critical thinking to rational debates, and describe a set of indirect strategies of “argumentative self-control”. (shrink)

RESUMEN El siglo XXI ha visto el auge de la "filosofia ambiental", preocupada por problematizar la crisis ecológica global. En esta bibliografia quedan relegados los aportes de Félix Guattari, uno de los primeros en desarrollar una filosofia ambiental en su obra Las tres ecologías. Este artículo propone analizar el centro problemático de esta obra pionera. Asi, se insiste en la importancia de volver al texto original; de revisar sus temas principales en cada dominio ecosófico ; y de sostener su vigencia (...) incluso a la luz de la actual filosofia ambiental. Además, en este análisis se consideran los aciertos y los desaciertos de sus apuestas y pronósticos: es notable que su incumplida esperanza práctica contrasta con su agudo diagnóstico teórico. Este texto arguye que esta obra no solo resiste bien el paso del tiempo, sino que además cumple con el propósito de clarificar la actual catástrofe planetaria. ABSTRACT The 21st century has seen the rise of "environmental philosophy", concerned with the problematization of the global ecological crisis. In this bibliography, the contributions of Felix Guattari remain relegated -even when he should be acknowledged as one of the first to develop an environmental philosophy in his work The Three Ecologies-. This article proposes an analysis of the problematic center of this pioneering work. Thus, it insists on the importance of returning to the original text; of revising its main topics in each ecosophical domain ; and of upholding its relevance even in the light of current environmental philosophy. Furthermore, in this analysis, the successes and flaws of its wagers and forecasts are considered: it is of note that its unfulfilled practical hope contrasts with its sharp theoretical diagnosis. The present text argues that this work not only passes the test of time, but also fulfills the purpose of clarifying the current planetary catastrophe. (shrink)

La Corporación Universitaria Minuto de Dios, en su misión de aportar a la transformación de las realidades sociales, plantea en su enfoque educativo la estrategia que procura articular la teoría con la práctica —praxeología—. Por ello, la investigación formativa es un planteamiento que viabiliza que tanto estudiantes y docentes vivan y sientan realmente el conocimiento y que, a su vez, articulen e incidan en las comunidades. A este respecto, presentaremos una experiencia que da cuenta del enfoque praxeológico. La intención de (...) Uniminuto es, entonces, que el conocimiento transforme y genere reflexiones y acciones de cara a las necesidades de los contextos. La universidad de hoy no puede ni debe sustraerse a una mirada sobre el territorio, sus problemáticas y potencialidades, por tanto, estudiantes y docentes deben constituirse en conectores de espacios académicos con la realidad social. (shrink)

In this article, we propose to question the accuracy of Jean Wahl’s definition of Vladimir Jankélévitch’s Philosophie Première (1953) as one of the “ultimate efflorescences of negative theology.” In fact, we maintain that—although conceiving the apophatic discourse as a necessary (but insufficient) stepping-stone to the absolute—the aforementioned work constitutes, if anything, an effort to overcome it by means of what we shall call a tesiphatic philosophy, i.e., one that identifies the first principle, not as the absolute negation of being, but (...) as the absolute position of being. To defend our thesis, we shall start by discussing the meaning of the five divine names that Jankélévitch bestows upon his absolute, namely, (1) the “totally-other-order,” (2) the “super-truth,” (3) “the itself,” (4) the “I-know-not-what,” and (5) the “almost-nothing.” In this section of our paper, we will try to show how Jankélévitch’s discourse is, in fact, shaped by the whole negative theology tradition (from Plotinus to Nicholas of Cusa). Finally, in the last part of our paper, we will strive to reflect upon Jankélévitch’s interpretation of the limits of a apophatic metaphysical discourse, questioning whether his Philosophie Première effectively overcomes negative theology’s conception of the absolute. (shrink)

Although the Neo-Darwin Theory of Evolution is one of the most celebrated theories in science, nonetheless it has received many criticisms. These criticisms are documented and a new transdisciplinary theory of origin is introduced. Darwin's original argument was that natural selection, through heritable changes, changed simple organisms over time. These heritable changes are responsible for the complex plethora of life seen around us today. Darwin's original theory, however, was deconstructed after the fact into a mutation-based theory. This mutation-based theory in (...) its current form is an insufficient and indeed unnecessary transdisciplinary explanation. A subsequent statistical comparison between the six extant scientifically based primary theories of origin was undertaken and based on current biological knowledge a statistically significantly best fit phenotypic model emerged. (shrink)

Mientras que la corriente principal de la filosofía moral moderna da por supuesto que la situación típica en los juicios morales debiera ser la de certeza, la filosofía moral de Aristóteles está dominada por la idea de verosimilitud. Su concepto central, el de virtud, está doblemente penetrado por aquella idea, tanto en su aspecto psicológico como en el epistemológico: no sabemos con certeza, sino sólo con probabilidad, en qué consiste por ejemplo la acción generosa en general ni tampoco en el (...) caso concreto. Sin embargo, la verosimilitud es una base suficiente para la práctica. (shrink)

Advances in technology, research development, and teaching practices have brought improvements in the training, levels of autonomy, and quality of life of people who need support and resources appropriate to their circumstances of disability. This article focuses on empirically analyzing the usefulness of treatments that have been supported by technology to answer the question “How do technological ecosystems being used help people with special educational needs?” The multiple case study methodology was used to address six categories of analysis: project data, (...) objectives, processes, outputs and outcomes, technologies, and impact. The processes, open in communication, were characterized as transversal, ethical, and sustainable. The results yielded various technological ecosystems that support people with disabilities, deliver the help they need to improve their health, and provide enjoyable user experiences. At the same time, they promote the training and improvement of teaching methodologies and involve families in order to improve their knowledge, attitudes, and care of children, young people, and adults with functional diversity. (shrink)

O presente artigo traz reflexões que envolvem infância e experiência a partir da área da educação e, particularmente, das ponderações em torno das pesquisas com crianças pequenas e da educação infantil. Os apontamentos impõem limites relativos a este lugar de estudo e delimita estes como parte de uma crítica e autocrítica da educação e das possibilidades de consolidação de uma Pedagogia da Infância. Nesta direção, no artigo se toma para esta reflexão a análise do sentido da experiência para as principais (...) teorias educacionais ou projetos educativos para a educação na infância, a fim de levar a uma demarcação dos contornos da experiência educativa na/da infância institucionalizada. Para tal, apresenta alguns elementos relativos à experiência educativa como experiência social a partir de estudos empíricos que dão visibilidade às ações das crianças como parte de suas vidas nos coletivos infantis. Por fim, indica como desafios para a possível consolidação de uma Pedagogia da Infância uma aproximação da Pedagogia às manifestações infantis, a criança em situação e as possibilidades de os processos educativos se pautarem na escuta, na dialogicidade e nas relações, possibilitando incluir, nas práticas educativas, as significações produzidas pelas próprias crianças em seus contextos de vida e suas manifestações culturais e expressivas. (shrink)

La distinción entre transmedia y cross-media con frecuencia resulta confusa en los estudios sobre la comunicación. Esta investigación tiene como objetivo revisar el uso de ambos conceptos en la literatura científica publicada en Web of Science y SciELO Citation Index. La investigación parte de una muestra de 895 artículos a los que se les aplica un análisis bibliométrico y un análisis de redes para descubrir las relaciones entre textos. Los resultados del estudio son útiles para conocer la configuración del campo (...) de conocimiento desde una perspectiva que integra las diversas disciplinas implicadas y abren el espectro para entender la comunicación transmedia y cross-media como objetos de estudio afines que deben ser estudiados de forma interdisciplinar. (shrink)

The main purpose of this dissertation is to apply and develop new forcing techniques to obtain models where several cardinal characteristics are pairwise different as well as force many (even more, continuum many) different values of cardinal characteristics that are parametrized by reals. In particular, we look at cardinal characteristics associated with strong measure zero, Yorioka ideals, and localization and anti-localization cardinals.In this thesis we introduce the property “F-linked” of subsets of posets for a given free filter F on the (...) natural numbers, and define the properties “ $\mu $ -F-linked” and “ $\theta $ -F-Knaster” for posets in a natural way. We show that $\theta $ -F-Knaster posets preserve strong types of unbounded families and of maximal almost disjoint families. These kinds of posets led to the development of a general technique to construct $\theta $ - $\textrm {Fr}$ -Knaster posets (where $\textrm {Fr}$ is the Frechet ideal) via matrix iterations of ${<}\theta $ -ultrafilter-linked posets (restricted to some level of the matrix). The latter technique allows proving consistency results about Cichoń’s diagram (without using large cardinals) and to prove the consistency of the fact that, for each Yorioka ideal, the four cardinal characteristics associated with it are pairwise different. Another important application is to show that three strongly compact cardinals are enough to force that Cichoń’s diagram can be separated into 10 different values. Later on, it was shown by Goldstern, Kellner, Mejía, and Shelah that no large cardinals are needed for Cichoń’s maximum (J. Eur. Math. Soc. 24 (2022), no. 11, p. 3951–3967).On the other hand, we deal with certain types of tree forcings including Sacks forcing, and show that these increase the covering of the strong measure zero ideal $\mathcal {SN}$. As a consequence, in Sacks model, such covering number is equal to the size of the continuum, which indicates that this covering number is consistently larger than any other classical cardinal characteristics of the continuum. Even more, Sacks forcing can be used to force that $\operatorname {\mathrm{non}}(\mathcal {SN})<\operatorname {\mathrm{cov}}(\mathcal {SN})<\operatorname {\mathrm{cof}}(\mathcal {SN})$, which is the first consistency result where more than two cardinal characteristics associated with $\mathcal {SN}$ are pairwise different. To obtain another result in this direction, we provide bounds for $\operatorname {\mathrm{cof}}(\mathcal {SN})$, which generalizes Yorioka’s characterization of $\mathcal {SN}$ (J. Symbolic Logic 67.4 (2002), p. 1373–1384). As a consequence, we get the consistency of $\operatorname {\mathrm{add}}(\mathcal {SN})=\operatorname {\mathrm{cov}}(\mathcal {SN})<\operatorname {\mathrm{non}}(\mathcal {SN})<\operatorname {\mathrm{cof}}(\mathcal {SN})$ with ZFC (via a matrix iteration forcing construction).We conclude this thesis by combining creature forcing approaches by Kellner and Shelah (Arch. Math. Logic 51.1–2 (2012), p. 49–70) and by Fischer, Goldstern, Kellner, and Shelah (Arch. Math. Logic 56.7–8 (2017), p. 1045–1103) to show that, under CH, there is a proper $\omega ^\omega $ -bounding poset with $\aleph _2$ -cc that forces continuum many pairwise different cardinal characteristics, parametrized by reals, for each one of the following six types: uniformity and covering numbers of Yorioka ideals as well as both kinds of localization and anti-localization cardinals, respectively. This answers several open questions from Klausner and Mejía (Arch. Math. Logic 61 (2022), pp. 653–683).Abstract prepared by Miguel Antonio Cardona-MontoyaE-mail: [email protected]: https://repositum.tuwien.at/handle/20.500.12708/19629. (shrink)

We study the uniform computational content of different versions of the Baire category theorem in the Weihrauch lattice. The Baire category theorem can be seen as a pigeonhole principle that states that a complete metric space cannot be decomposed into countably many nowhere dense pieces. The Baire category theorem is an illuminating example of a theorem that can be used to demonstrate that one classical theorem can have several different computational interpretations. For one, we distinguish two different logical versions of (...) the theorem, where one can be seen as the contrapositive form of the other one. The first version aims to find an uncovered point in the space, given a sequence of nowhere dense closed sets. The second version aims to find the index of a closed set that is somewhere dense, given a sequence of closed sets that cover the space. Even though the two statements behind these versions are equivalent to each other in classical logic, they are not equivalent in intuitionistic logic, and likewise, they exhibit different computational behavior in the Weihrauch lattice. Besides this logical distinction, we also consider different ways in which the sequence of closed sets is “given.” Essentially, we can distinguish between positive and negative information on closed sets. We discuss all four resulting versions of the Baire category theorem. Somewhat surprisingly, it turns out that the difference in providing the input information can also be expressed with the jump operation. Finally, we also relate the Baire category theorem to notions of genericity and computably comeager sets. (shrink)

We prove that the Weihrauch lattice can be transformed into a Brouwer algebra by the consecutive application of two closure operators in the appropriate order: first completion and then parallelization. The closure operator of completion is a new closure operator that we introduce. It transforms any problem into a total problem on the completion of the respective types, where we allow any value outside of the original domain of the problem. This closure operator is of interest by itself, as it (...) generates a total version of Weihrauch reducibility that is defined like the usual version of Weihrauch reducibility, but in terms of total realizers. From a logical perspective completion can be seen as a way to make problems independent of their premises. Alongside with the completion operator and total Weihrauch reducibility we need to study precomplete representations that are required to describe these concepts. In order to show that the parallelized total Weihrauch lattice forms a Brouwer algebra, we introduce a new multiplicative version of an implication. While the parallelized total Weihrauch lattice forms a Brouwer algebra with this implication, the total Weihrauch lattice fails to be a model of intuitionistic linear logic in two different ways. In order to pinpoint the algebraic reasons for this failure, we introduce the concept of a Weihrauch algebra that allows us to formulate the failure in precise and neat terms. Finally, we show that the Medvedev Brouwer algebra can be embedded into our Brouwer algebra, which also implies that the theory of our Brouwer algebra is Jankov logic. (shrink)

We systematically study the completion of choice problems in the Weihrauch lattice. Choice problems play a pivotal rôle in Weihrauch complexity. For one, they can be used as landmarks that characterize important equivalences classes in the Weihrauch lattice. On the other hand, choice problems also characterize several natural classes of computable problems, such as finite mind change computable problems, non-deterministically computable problems, Las Vegas computable problems and effectively Borel measurable functions. The closure operator of completion generates the concept of total (...) Weihrauch reducibility, which is a variant of Weihrauch reducibility with total realizers. Logically speaking, the completion of a problem is a version of the problem that is independent of its premise. Hence, studying the completion of choice problems allows us to study simultaneously choice problems in the total Weihrauch lattice, as well as the question which choice problems can be made independent of their premises in the usual Weihrauch lattice. The outcome shows that many important choice problems that are related to compact spaces are complete, whereas choice problems for unbounded spaces or closed sets of positive measure are typically not complete. (shrink)

The investigation of computational properties of discontinuous functions is an important concern in computable analysis. One method to deal with this subject is to consider effective variants of Borel measurable functions. We introduce such a notion of Borel computability for single-valued as well as for multi-valued functions by a direct effectivization of the classical definition. On Baire space the finite levels of the resulting hierarchy of functions can be characterized using a notion of reducibility for functions and corresponding complete functions. (...) We use this classification and an effective version of a Selection Theorem of Bhattacharya-Srivastava in order to prove a generalization of the Representation Theorem of Kreitz-Weihrauch for Borel measurable functions on computable metric spaces: such functions are Borel measurable on a certain finite level, if and only if they admit a realizer on Baire space of the same quality. This Representation Theorem enables us to introduce a realizer reducibility for functions on metric spaces and we can extend the completeness result to this reducibility. Besides being very useful by itself, this reducibility leads to a new and effective proof of the Banach-Hausdorff-Lebesgue Theorem which connects Borel measurable functions with the Baire functions. Hence, for certain metric spaces the class of Borel computable functions on a certain level is exactly the class of functions which can be expressed as a limit of a pointwise convergent and computable sequence of functions of the next lower level. (shrink)

¿Cuáles son los componentes distintivos del cuerpo humano que permiten identificarlo como un elemento material diferente del resto del mundo físico? ¿Son tales elementos algo meramente funcional, o remiten a otra dimensión que va más allá de la instrumentalidad? Estas son las preguntas que se plantean en el libro “Biología y racionalidad. El carácter distintivo del cuerpo humano” de José Ángel Lombo y José Manuel Giménez Amaya. Partiendo desde la perspectiva filosófica, los autores buscan clarificar estas cuestiones ofreciendo un marco (...) conceptual interdisciplinar que remite en todo momento a la unidad de la persona humana. (shrink)

Though written corporate codes of ethics have been touted as a panacea for the embarrassments and uncertainties of the past two decades, the absence of clear evaluation procedures severely compromises their usefulness. An ethnographic study comparing development processes and compliance outcomes in large health care facilities and energy companies shows that neither of the two industries has encountered much success with a codes of ethics program. Companies that distribute copies of their code of ethics seldom ensure the process is completed (...) or that employees understand the purpose of the document, and staff responsible for the code give it a low priority relative to their overall responsibilities. Contrary to expectations, health care facilities are no more likely to develop or implement codes of ethics effectively than are energy companies. More extensive research is needed in order to generate the data necessary for the development of realistic standards for the evaluation of codes of ethics. (shrink)

In this paper we study a reducibility that has been introduced by Klaus Weihrauch or, more precisely, a natural extension for multi-valued functions on represented spaces. We call the corresponding equivalence classes Weihrauch degrees and we show that the corresponding partial order induces a lower semi-lattice. It turns out that parallelization is a closure operator for this semi-lattice and that the parallelized Weihrauch degrees even form a lattice into which the Medvedev lattice and the Turing degrees can be embedded. The (...) importance of Weihrauch degrees is based on the fact that multi-valued functions on represented spaces can be considered as realizers of mathematical theorems in a very natural way and studying the Weihrauch reductions between theorems in this sense means to ask which theorems can be transformed continuously or computably into each other. As crucial corner points of this classification scheme the limited principle of omniscience LPO, the lesser limited principle of omniscience LLPO and their parallelizations are studied. It is proved that parallelized LLPO is equivalent to Weak Kőnig's Lemma and hence to the Hahn—Banach Theorem in this new and very strong sense. We call a multi-valued function weakly computable if it is reducible to the Weihrauch degree of parallelized LLPO and we present a new proof, based on a computational version of Kleene's ternary logic, that the class of weakly computable operations is closed under composition. Moreover, weakly computable operations on computable metric spaces are characterized as operations that admit upper semi-computable compact-valued selectors and it is proved that any single-valued weakly computable operation is already computable in the ordinary sense. (shrink)

The aim of this article is to show how context, in its multiple forms, as well as having influence in localization, organization, government, and business of firms, is also fundamental on an epistemological level because it acts directly on the dynamics of scientific knowledge construction. It will be shown how context takes on the role of a constraint that strongly influences the growth of the endless possibilities from which a scientific knowledge emerges, and how epistemology has to rethink the definition (...) of science, taking into account that it evolves in relation with its multiple contexts with which it reinvents itself every day. (shrink)

La dimensión hermenéutica de las experiencias vividas se ha abordado desde una reducción analítica que suspende temporal y espacialmente la caracterización de agente narrativo. La racionalidad narrativa podría ofrecer una estructura dinámica en la configuración de la identidad del agente narrativo, además de posibilidades formativas que amplían sus dominios de significación y acción. El artículo de reflexión presenta elementos estructurales de la narrativa para caracterizar el agente narrativo. Esquematismo, tradición y triple mímesis, como base para la configuración de historias que (...) revelan la identidad característica del agente narrativo, estructuran el texto. (shrink)

Preposição 'ni' no português brasileiro do centro-oeste -- Deslizamentos funcionais do verbo ver na língua falada em goiás/Brasil -- Variação no uso do imperativo gramatical no falar goiano : fatores internos -- Educação linguística de pessoas surdas : uma proposta de práticas de letramento nas perspectivas da tradução transcultural em travessias sociolinguísticas -- Reflexão linguística e consciência morfossintática no ensino da concordância verbal -- A gramática em esfera escolar e o uso da anáfora pronominal acusativa a de 3a pessoa -- (...) Sobre os fundamentos teóricos e metodológicos presentes nas orientações oficiais para o ensino-aprendizagem de língua inglesa na educação básica brasileeira -- Concordância verbal sob a ótica da Aprendizagem linguística ativa : reflexôes sobre uma estratégia de comprensão do fenômeno por meio da identificação de princípios. (shrink)

“Dos se quedan allí: la miserable y la misericordia” es una de las frases más conocidas de las obras de san Agustín y que más se emplean en homilías para hablar de la misericordia. En este texto nos proponemos analizar el concepto de misericordia en san Agustín siguiendo su comentario al evangelio de san Juan sobre el encuentro entre la adúltera y el Señor. Para sistematizar el pensamiento agustiniano, repasaremos el triple juicio en este pasaje bíblico: el juicio de los (...) fariseos, el juicio de Jesucristo y el juicio de la propia rea. (shrink)