Neste estudo abordaremos algumas etapas da concepção holística que caracteriza as relações entre o homem, o cosmo e a sociedade na época das Antiguidades Arcaica e Clássica; a transformação da visão holística como consequência da alteração da concepção antropológica ao longo da época moderna; para terminar com uma reflexão que destaque a necessidade de voltar à humanização. Na introdução, nossa atenção estará direcionada, especificamente, para a perspectiva holística com a qual a filosofia e a medicina inauguraram o estudo propriamente antropológico. (...) Em seguida, será examinado o momento de passagem da visão holística para uma concepção mecanicista do homem e das práticas sociais que o veem como objeto de estudo e de cuidado. Por fim, gostaríamos de destacar os esforços que estão sendo efetuados para voltar a uma visão global na qual o homem, a sociedade e a natureza fazem parte de um único e mesmo sistema orgânico. (shrink)

This project seeks to highlight the benefits of the implementation and management of the teaching digital portfolio. In today's world full of technology and tools that facilitate daily activities, education and its various processes must also embrace the digital tools available and make them the basis for any innovation and improvement process. The teaching portfolio in physics has long been the means by which teachers have organized the processes, evidence, and other results of educational work. Nowadays, all that range of (...) evidence and productions, which signify the achievement and advances in each group of students, has been able to be integrated into technology. (shrink)

Niniejszy tekst stanowi w pewnym sensie streszczenie książki Panajotisa Kondylisa Die Aufklärung im Rahmen des neuzeitlichen Rationalismus, wydanej po raz pierwszy w 1981 r. w wydawnictwie Klett-Cotta. W roku 1987 pojawiło się na rynku pierwsze wydanie greckie. Niemieckie wydania szybko zniknęły z rynku, a książka stała się jednym ze standardowych dzieł poświęconych oświeceniu w Niemczech i Grecji. Jej pozycję podkreślają kolejne wydania już po śmierci Kondylisa, chociażby przez wydawnictwo Felixa Meinera w 2002 r. Tekst będący przedmiotem niniejszego przekładu ukazał (...) się jako posłowie na końcu trzeciego tomu książki Karla Vorländera Geschichte der Philosophie. Neuzeit bis Kant wydanej w 1990 r.. Wprowadzenie, tytuł oraz przypisy wersji polskiej pochodzą od tłumacza. (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)

Neste trabalho abordamos a obra de Francis Bacon e as suas contribuições para a Filosofia da Ciência, incluindo a sua proposta de método científico e o seu posicionamento crítico face à anterior versão aristotélica e a influência que o pensamento baconiano exerceu na promoção de um novo quadro filosófico para o desenvolvimento científico na modernidade. Este trabalho foi realizado no âmbito da disciplina de Filosofia das Ciências I, parte do curso de Filosofia da Faculdade de Letras da Universidade do Porto, (...) Portugal. (shrink)

Targeted modifications of the human epigenome, epigenome editing (EE), are around the corner. For EE, techniques similar to genome editing (GE) techniques are used. While in GE the genetic information is changed by directly modifying DNA, intervening in the epigenome requires modifying the configuration of DNA, for example, how it is folded. This does not come with alterations in the base sequence (‘genetic code’). To date, there is almost no ethical debate about EE, whereas the discussions about GE are voluminous. (...) Our article introduces EE into bioethics by translating knowledge from science to ethics and by comparing the risks of EE with those of GE. We, first (I), make the case that a broader ethical debate on EE is due, provide scientific background on EE, compile potential use-cases and recap previous debates. We then (II) compare EE and GE and suggest that the severity of risks of novel gene technologies depends on three factors: (i) the choice of an ex vivo versus an in vivo editing approach, (ii) the time of intervention and intervention windows and (iii) the targeted diseases. Moreover, we show why germline EE is not effective and reject the position of strong epigenetic determinism. We conclude that EE is not always ethically preferable to GE in terms of risks, and end with suggestions for next steps in the current ethical debate on EE by briefly introducing ethical challenges of new areas of preventive applications of EE (III). (shrink)

Until recently, economics conceived of poverty solely as a lack of material resources. This view likely captures the reality of poverty experienced by many people around the globe. However, two waves of behavioral economics demonstrate that the narrowing of people’s external environments may change people themselves: poverty lowers the quality of decision-making and poverty and oppression may depress the capacity to aspire. Poverty and a history of oppression also change how individuals are perceived. To overcome these effects may require helping (...) people acquire new mental models. This essay discusses key findings from behavioral economics, the implications for agency, and some interventions with promising outcomes. We hope to inspire scholars and policymakers to think more deeply about the nature of poverty and oppression and to consider policies that target the psychological and sociological factors that create cycles of poverty. (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)

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)

Dupras and Bunnik’s strong statement against the normative approach of genetic exceptionalism, which can no longer be justified in the midst of multi-omic research, is of great importance fo...

Children with developmental language disorder (DLD) served as a test case for determining the role of extant vocabulary knowledge, endogenous attention, and phonological working memory abilities in cross-situational word learning. First-graders (Mage = 7 years; 3 months), 44 with typical development (TD) and 28 with DLD, completed a cross-situational word-learning task comprised six cycles, followed by retention tests and independent assessments of attention, memory, and vocabulary. Children with DLD scored lower than those with TD on all measures of learning and (...) retention, a performance gap that emerged in the first cycle of the cross-situational protocol and that we attribute to weaknesses in initial encoding. Over cycles, children with DLD learned words at a similar rate as their TD peers but they were less flexible in their strategy use, demonstrating a propose-but-verify approach but never a statistical aggregation approach. Also, they drew upon different mechanisms to support their learning. Attention played a greater role for the children with DLD, whereas extant vocabulary size played a greater role for the children with TD. Children navigate the problem space of cross-situational learning via varied routes. This conclusion is offered as motivation for theorists to capture all learners, not just the most typical ones. (shrink)

Cognitive Science, Volume 46, Issue 2, February 2022.

Slightly modified excerpt from the section 13.4 Zusammenfassung und Ausblick (translated into englisch): This chapter is based on an analysis of ethical debates on epigenetics and genome editing, debates, in which ethical arguments relating to future generations and justice play a central role. The analysis aims to contextualize new developments in genetic engineering, such as genome and epigenome editing, ethically. At the beginning, the assumptions of "genetic determinism," on which "genetic essentialism" is based, of "epigenetic determinism" as well as "genetic" (...) and "epigenetic exceptionalism" are analyzed and critically discussed. The remarks on the ethical discourse on epigenetics show that the notion of "epigenetic determinism" can sometimes be discerned not only in popular scientific discourse but also in ethical discourse. Ethical debates on epigenetics, however, have distanced themselves from this deterministic understanding. As a result, the focus in the ethical discourse on epigenetics shifts from responsibility for one's own health and that of subsequent generations to justice. What is meant here is justice, for example, in terms of access to healthy environmental conditions, regardless of whether these contribute to health with or without epigenetic agency. An analysis of the discourse on genome editing reveals that it is primarily germline interventions that are being ethically examined, with a concentration on the aspect of inheritance. The question is whether this is accompanied by an implicit "genetic determinism" or even a "genetic essentialism": the determinism could lie in the centrality of the aspect of heritability, since only genetic information is inherited. Does the aspect of heritability and genome modification play a more decisive role in debates on genome editing than the safety issue? Is the problem of embryos and their potential offspring not being able to consent to germline intervention given such a high priority because it is a genetic intervention? Under such a premise of "strong genetic determinism" supplemented by "epigenetic determinism," not only genome editing but also epigenome editing would be ethically relevant precisely because it too would have an influence on the genome. How this influence of genome editing and epigenome editing is ethically evaluated in each case therefore depends initially on whether the assumptions of "genetic" and "epigenetic determinism" are advocated. These assumptions are increasingly viewed critically in ethical discourse because they cannot be confirmed from a scientific perspective. In popular scientific debates in particular, however, they seem to persist, which ultimately also influences the public discussion. Since a broad public discussion is required especially on genome editing, a reflective approach to the various "-isms" analyzed in this chapter is central. DOI: 10.5771/9783748927242. (shrink)

This article focuses on emergency medical care in black urban populations, suggesting that the classification of a "community" within clinical trial language is problematic. The article references a cultural history of black Americans with pre-hospital emergency medical treatment as relevant to contemporary emergency medicine paradigms. Part I explores a relationship between "autonomy" and "community." The idea of community emerges as a displacement for the ethical principle of autonomy precisely at the moment that institutionalized medicine focuses on diversity. Part II examines (...) a clinical trial for the blood substitute PolyHeme® (Northfield Laboratories, Inc., Evanston, IL). It illustrates the ways in which bias in research paradigms and Institutional Review Board decisions attach to the notion and utility of the language of "community." The conclusion's contemporary anecdote makes apparent the vitality of the issues of prehospital emergency medical care and the ways in which decisions and practices fall too easily into a narrative of culturally biased treatment. (shrink)

El objetivo de este artículo consiste en abordar algunos argumentos de la filosofía de J. Rancière relacionados con la necesidad de repensar el comunismo. La hipótesis de trabajo insiste en señalar que Rancière no defiende ningún proyecto comunista. Esto al menos por tres razones: no hay igualdad de las inteligencias, el comunista funge como profesor explicador en aras de concientizar a los embrutecidos, el comunismo pertenece a una temporalidad histórica teleológica, lo que a su vez supone un aplazamiento de la (...) emancipación. Finalmente, cerramos este diálogo con las posibilidades presentes de esta otra forma de concebir la igualdad y la emancipación. (shrink)

Este artigo é uma pesquisa bibliográfica centrada na análise de cinco textos do marxista húngaro György Lukács cujo objetivo era compreender melhor como esse autor caracteriza o complexo da educação em sua teoria. As obras selecionadas para o estudo foram o capítulo A reprodução do livro Para uma ontologia do ser social 2, além de quatro ensaios dispersos em outras obras: O Poema pedagógico de Makarenko, Os anos de aprendizado de Wilhelm Meister, Lenin e os problemas de transição e Gottfried (...) Keller. Expõe-se que Lukács não compreende a educação em sentido estrito como limitada à sociedade capitalista, mas como universal, por se caracterizar como uma práxis intencional que pode ocorrer em diversos âmbitos da sociedade. Tal resultado aponta para uma interpretação da educação em Lukács menos limitada à crítica de função reprodutora e, portanto, abrindo maiores possibilidades de conexão entre a teoria lukacsiana e a luta revolucionária. (shrink)

This article presents an impact assessment framework that allows for the evaluation of positive and negative local-level impacts that have resulted from "responsible trade" interventions such as fair trade and ethical trade. The framework investigates impact relating to (1) livelihood impacts on primary stakeholders; (2) socio-economic impacts on communities; (3) organizational impacts; (4) environmental impacts; (5) policies and institutional impacts; and (6) future prospects. It identifies relevant local-level stakeholders and facilitates the analysis of conflicting interests. The framework was developed in (...) the context of, and is applied in this article to, the fair trade coffee industry in northern Nicaragua. It was designed, however, so that it can be applied across commodity sectors and responsible trade initiatives. It is able to do this by accommodating for differences in the social, environmental, political and institutional contexts of different areas, and by taking into account the distinct nature of an initiative's overall objectives, different levels of intervention, and the full range of stakeholders involved. (shrink)

Targeted modifications of the human epigenome, epigenome editing (EE), are around the corner. For EE, techniques similar to genome editing (GE) techniques are used. While in GE the genetic information is changed by directly modifying DNA, intervening in the epigenome requires modifying the configuration of DNA, for example, how it is folded. This does not come with alterations in the base sequence (‘genetic code’). To date, there is almost no ethical debate about EE, whereas the discussions about GE are voluminous. (...) Our article introduces EE into bioethics by translating knowledge from science to ethics and by comparing the risks of EE with those of GE. We, first (I), make the case that a broader ethical debate on EE is due, provide scientific background on EE, compile potential use-cases and recap previous debates. We then (II) compare EE and GE and suggest that the severity of risks of novel gene technologies depends on three factors: (i) the choice of an ex vivo versus an in vivo editing approach, (ii) the time of intervention and intervention windows and (iii) the targeted diseases. Moreover, we show why germline EE is not effective and reject the position of strong epigenetic determinism. We conclude that EE is not always ethically preferable to GE in terms of risks, and end with suggestions for next steps in the current ethical debate on EE by briefly introducing ethical challenges of new areas of preventive applications of EE (III). (shrink)

Le droit peut-il être le gardien de la paix? Telle est l'une des interrogations qui se dessine au travers de l'oeuvre du philosophe italien du droit Sergio Cotta (1920-2007). Résistant pendant la Seconde Guerre mondiale, puis professeur à l'Université de Rome, Sergio Cotta n'a eu de cesse d'interroger le droit et sa fonction dans les rapports entre les hommes dans une réflexion dynamique en prise avec situations actuelles et vécues. Le présent ouvrage, composé d'articles parus dans différentes revues (...) scientifiques, se présente comme une introduction à l'oeuvre de cet éminent penseur du droit. (shrink)

We welcome Blumenthal-Barby’s et al. (2022) plaidoyer for the integration of philosophy in bioethics because of a perceived mutual benefit. Drawing on experience from a collaborative project, funde...

Sex has become to-day a sort of secular religion, i.e. a mass-belief in a new world entirely redeemed from its evils by revolution. Hope in revolution presupposes the ideas of man's original innocence and of society'sresponsibility for evil. As no political or economical revolution can entirely liberate man from his aggressiveness, the sexual revolution isproposed as the basic step towards the new world. But a totally free sexuality, breaking the dialectics between Eros and Thanatos, gives way to the deathinstinct and (...) therefore to a world of struggle for domination, not of liberty. (shrink)

En el siguiente trabajo expondré las características principales del materialismo de Alfred Schmidt, el cual, debe ser entendido en su vertiente: no dogmática, crítica y dialéctica. Me refiero a la primera característica, en el sentido de que Schmidt, deja de lado la lectura marxista ortodoxa de la ..

In a previous work, we have shown that the null result of the Michelson–Morley experiment in vacuum is deeply connected with the notion of time. The same is true for the postulate of constancy of the two-way speed of light in vacuum in all frames independently of the state of motion of the emitting body. The argumentation formerly given is very general and has to be true not only within Special Relativity and its “equivalence” of all inertial frames, but as (...) well as in Lorentz-Poincaré scenario of a preferred reference frame. This paper is the second of a trilogy intending to revisit the foundations of Special Relativity, and addresses the question of the constancy of the one-way speed of light and of the differences and similarities between both scenarios. Although they manifestly differ in philosophy, it is debated why and how the assumption of a “special system of reference experimentally inaccessible” is indeed compatible with Einstein’s Special Relativity, as beautifully outlined and discussed by Bell [Speakable and Unspeakable in Quantum Mechanics (Cambridge University Press, Cambridge, 1988)]. This rather trivial statement is still astonishing nowadays to a big majority of scientists. The purpose of this work is to bring such assertion into perspective, widening the somewhat narrow view of Special Relativity often presented in textbooks and scientific papers. (shrink)

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)

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 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)

Matthias Schröder has asked the question whether there is a weakest discontinuous problem in the topological version of the Weihrauch lattice. Such a problem can be considered as the weakest unsolvable problem. We introduce the discontinuity problem, and we show that it is reducible exactly to the effectively discontinuous problems, defined in a suitable way. However, in which sense this answers Schröder’s question sensitively depends on the axiomatic framework that is chosen, and it is a positive answer if we work (...) in Zermelo–Fraenkel set theory with dependent choice and the axiom of determinacy $\mathsf {AD}$. On the other hand, using the full axiom of choice, one can construct problems which are discontinuous, but not effectively so. Hence, the exact situation at the bottom of the Weihrauch lattice sensitively depends on the axiomatic setting that we choose. We prove our result using a variant of Wadge games for mathematical problems. While the existence of a winning strategy for Player II characterizes continuity of the problem (as already shown by Nobrega and Pauly), the existence of a winning strategy for Player I characterizes effective discontinuity of the problem. By Weihrauch determinacy we understand the condition that every problem is either continuous or effectively discontinuous. This notion of determinacy is a fairly strong notion, as it is not only implied by the axiom of determinacy $\mathsf {AD}$, but it also implies Wadge determinacy. We close with a brief discussion of generalized notions of productivity. (shrink)

On pp. 47-51, "Fifth Scenario: The Nazi and His Jew", discusses Adorno's theory of mimesis applied to the phenomenon of Nazi antisemitism. Influenced by Freud's theory, Adorno discussed in "Dialektik der Aufklärung" (1947) the Nazi phobic and distorted image of the Jew. In Adorno's interpretation, the imaginary portrait of the Jew created by the Nazis is in fact their self-portrait, expressing their longing for unlimited power and identification with an imaginary aggressor in order to be themselves the real aggressor.

In this paper, I focus on teachers’ lived experiences during the COVID-19 outbreak. Specifically, I explore the emotional impact the abrupt shift to online teaching had on teachers’ work and life throughout the various phases of the lockdown. I develop my argument by analyzing teachers’ everyday work, using a qualitative approach, and constructing a small-scale empirical study. Philosophically, my attempt is phenomenologically developed and is framed by Heidegger’s and Arendt’s thoughts. Methodologically, my attempt falls within an emerging research horizon that (...) combines educational philosophy with empirical research. Drawing from research data, I argue that teachers’ experience bears witness to a deep modification of the schooling space-time, namely, the horizon in which the very perception of students, themselves, and teaching arise. In the case of teachers experiencing discomfort, fear, and even angst, the totality of their gestures and emotions was, as it were, swallowed by this unknown and disquieting horizon; teachers in distress were experiencing the collapse of any projecting without being freed by projecting itself. In the case of teachers experiencing feelings of fulfillment and even joy, a different horizon was allowed to emerge. Such a different space-time, rather than producing a sense of distance and alienation, created a new intimacy and nearness, which allows for a different attitude toward the topics and the educational community. Students became more sensitive, susceptible to transformation, and open to what was being said. At the same time, relationships were caught in a new web of meanings that transcended them, thus giving birth to an educational experience in its own right. I conclude with some remarks about the building of the educational community. (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)

La ira interior, la tristeza, el disgusto, el nerviosismo, la impotencia, más que conceptos, son en realidad sentimientos que por carne propia podemos experimentar, además de ser constantes dentro de nuestra vida anímica, incluso más que el sentido de gozo y placer, que tanto buscamos dentro de nuestras actividades ordinarias. Sin embargo, al experimentar estas emociones en sí mismas parecen no generar algún problema mayor. El problema mismo viene en la acción para poder colmar estas intensas emociones que muchas veces (...) se presentan dentro de nosotros mismos “como criterio el dolor es inmutable, variable es, en cambio, el modo y manera como el ser humano se enfrenta a él”. (shrink)