Fernando Fernandez

The progress of Mathematics during the nineteenth century was characterised both by an enormous acquisition of new knowledge and by the attempts to introduce rigour in reasoning patterns and mathematical writing. Cauchy’s presentation of Mathematical Analysis was not immediately accepted, and many writers, though aware of that new style, did not use it in their own mathematical production. This paper is devoted to an episode of this sort that took place in Spain during the first half of the century: It deals with the presentation of a method for numerically solving algebraic equations by José Mariano Vallejo, a late Spanish follower of the Enlightenment ideas, politician, writer, and mathematician who published it in the fourth (1840) edition of his book Compendio de Matemáticas Puras y Mistas, claiming to have discovered it on his own. Vallejo’s main achievement was to write down the whole procedure in a very careful way taking into account the different types of roots, although he paid little attention to questions such as convergence checks and the fulfilment of the hypotheses of Rolle’s Theorem. For sure this lack of mathematical care prevented Vallejo to occupy a place among the forerunners of Computational Algebra.

Background: Serious games have shown positive results in increasing motivation, adherence to treatment and strengthening the therapeutic alliance in multiple psychiatric disorders. In particular, patients with impulse control disorders and other disorders in which the patient suffers from inhibitory control deficits have been shown to benefit from serious games.Aim: The aim of this study was to describe the characteristics and to evaluate the usability of a new serious videogame, e-Estesia. This serious videogame was designed to improve emotion regulation in patients with gambling disorder. Preliminary results from a pilot sample are also reported.Method: A pilot sample of 26 patients undergoing treatment for GD was recruited. Participants used e-Estesia on a tablet, which was connected to a thoracic band that sent heart rate and heart rate variability data to the videogame platform in order to provide biofeedback. The System Usability Scale was completed by patients to determine the usability of e-Estesia.Results and Discussion: e-Estesia performed comparatively well for all the explored groups. Around 84.6% of the patients endorsed that it was easy to use. Female patients with GD presented higher HRV during the use of the serious videogame compared to men.

This paper examines undergraduate business students' perception of corporate social responsibility in cases in which they have not attended any specific course either dealing with CSR or providing training in ethics. A survey was conducted of 535 Spanish business students as future managers. The results show that the stakeholders' perspective deserves a huge attention for those students considering what the keys of business success are. Significant differences in perception were nevertheless identified when a multifactorial analysis was undertaken. Female students are more concerned about CSR issues. The maximization of value for shareholders is less valued by second- and third-year students than by first-year ones. The findings point to a number of important orientations for the future development of university curriculum

El objetivo del artículo es estudiar la identidad política que caracteriza al actual movimiento social y político independentista catalán desde la teoría retórica de la democracia. La cuestión a analizar será si dicha identidad contiene determinados déficits democráticos que afecten a su inclusividad y pluralismo de tal modo que su capacidad de interacción con una parte significativa de la sociedad catalana quede limitada. Para ello, se comprobará si dicha identidad política es una identidad política común o bien una identidad política parcial porque, en ese caso, y teniendo en cuenta el objetivo que dicho movimiento pretende alcanzar, sus problemas normativos desde un punto de vista democrático serán relevantes.

In this paper we study the axiomatic system proposed by Bourbaki for the Theory of Sets in the Éléments de Mathématique. We begin by examining the role played by the sign \(\uptau \) in the framework of its formal logical theory and then we show that the system of axioms for set theory is equivalent to Zermelo–Fraenkel system with the axiom of choice but without the axiom of foundation. Moreover, we study Grothendieck’s proposal of adding to Bourbaki’s system the axiom of universes for the purpose of considering the theory of categories. In this regard, we make some historical and epistemological remarks that could explain the conservative attitude of the Group.

In this essay we explain some of the problems of the Venezuelan criminal justice sub-system and, in general, the criminal law enforcement. That is to say, that which is expressed in the persecutory actions of the investigating authorities and the criminal courts, after having established in Venezuela a Carl Schmitt concept of Dual State with the purpose of eliminating “bourgeois” democracy and implanting the model of so-called Socialism of the XXI Century. In this sense, it is a question of identifying the flagrant persecution and violation of human rights of those who do not have the capacity to resist the attacks emanating from the State in the abusive use of coercion and legal violence. With the Dual State want to impose an utopia by force, which leads to dystopia, due to the division and polarization of society with the dichotomous politics of friend-enemy, In a process of etiquette and "demonization" of the enemy.