Hemeroteca de la sección ‘Educacion’

“Mythos, logos, epos son la palabra” (Heidegger)

Por • 3 dic, 2017 • Category: Educacion

Este texto se ocupa de dos volúmenes de la obra de Heidegger: el curso sobre Parménides de 1942 y la recopilación De camino al habla de 1950-1959. El curso sobre Parménides trabaja los términos griegos mythos, logos y epos, y los determina como “los mismos” –lo que no precisamente corresponde a la identidad–. En sus diferencias mismas, remiten a la “palabra” (das Wort). Varios años después, la “palabra” es invocada en la triple denominación de Sprache, Wort y Sage que, en sí mismos, no dependen de ninguna lógica de la identidad, sino más bien de una lógica de la “tautología”: la poesía misma.



Juan David García Bacca Sobre el Existencialismo de Heidegger

Por • 28 nov, 2017 • Category: Educacion

Dentro de la situación de la filosofía latinoamericana, que solamente recién ha conquistado su derecho a existencia y autenticidad, la figura del profesor J. D. García Bacca es sobresaliente tanto por la ense­ñanza como por sus publicaciones. Al ejercicio retórico de la filosofía opuso él la exigencia del estudio sistemático de las grandes obras junto con el estudio ele las ciencias. Obraba con el ejemplo: sabe los idiomas antiguos y conoce los autores griegos y latinos a fondo; ha estudiado tanto la filosofía como la teología, las ciencias físicas y matemáticas modernas de modo que sabe apreciar su impacto en el pensamiento filosófico desde varias perspectivas. A él le debemos la primera traducción directa en lengua castellana ele los diálogos platónicos, de los fragmentos presocráticos y de los “Elementos” de Euclides. Ha traducido a Heidegger como a Einstein y a Hilbert. Y ha escrito el primer libro de lógica matemática en castellano.



Axiomatic quantum mechanics: Necessity and benefits for the physics studies

Por • 14 nov, 2017 • Category: Educacion

The ongoing progress in quantum theory emphasizes the crucial role of the very basic principles of quantum theory. However, this is not properly followed in teaching quantum mechanics on the graduate and undergraduate levels of physics studies. The existing textbooks typically avoid the axiomatic presentation of the theory. We emphasize usefulness of the systematic, axiomatic approach to the basics of quantum theory as well as its importance in the light of the modern scientific-research context.



Nikolai Luzin and the problem of existence in mathematics

Por • 4 nov, 2017 • Category: Educacion

This paper presents excerpts of the discussion about the problem of existence for functions in each one of Baire’ s classes. First, it sets up the historical problem, introducing four existential categories, and then it shows Luzin’ s position and reframes it in terms of Cavaillès and Gardies’ theory of thematization.



On the Ontological Modeling of Trees

Por • 19 oct, 2017 • Category: Educacion

Trees — i.e., the type of data structure known under this name — are central to many aspects of knowledge organization. We investigate some central design choices concerning the ontological modeling of such trees. In particular, we consider the limits of what is expressible in the Web Ontology Language, and provide a reusable ontology design pattern for trees.



El Método de Forcing: Algunas aplicaciones y una aproximación a sus fundamentos metamatemáticos

Por • 13 oct, 2017 • Category: Educacion

Es conocido que el método de forcing es una de las técnicas de construcción de modelos más importantes de la Teoría de conjuntos en la actualidad, siendo el mismo muy útil para investigar problemas de matemática y de fundamentos de la matemática. El objetivo del siguiente trabajo es estudiar tal método, describir algunas de sus aplicaciones y ofrecer una aproximación a sus fundamentos metamatemáticos. Se aspira que este texto sirva de apoyo para aprender dicho método.



On Schumpeter’s ‘The Past and Future of Social Sciences’. A Schumpeterian Theory of Scientific Development?

Por • 9 oct, 2017 • Category: Educacion

The present paper, taking the cue from the Italian translation of Vergangenheit und Zukunft der Sozialwissenschaften (The Past and Future of Social Sciences), a Schumpeter’s book which was not always well understood in the literature, tries to pose some questions about Schumpeter’s work. Firstly: is it possible, starting from that book, to reconstruct a Schumpeterian theory of scientific development? Subsequently: is Vergangenheit und Zukunft only «a brief outline of what first became the Epochen [der Dogmen– und Methodengeschichte] and finally the History of Economic Analysis», as Elizabeth Boody Schumpeter wrote in the Editor’s Introduction (July 1952) to the History of Economic Analysis (p. XXXII), or should it be read as a complement of Epochen and, possibly, History? Lastly: is it correct to say that Schumpeter’s work had the ambitious objective of developing a ‘comprehensive sociology’ as the eminent Japanese scholar Shionoya did?



Elementary number-theoretical statements proved by Language Theory

Por • 3 oct, 2017 • Category: Educacion

We introduce a method to derive theorems from Elementary Number Theory by means of relationships among formal languages. Using σ -algebras, we define what a proof of a number-theoretical statement by Language Theory means. We prove that such a proof can be transformed into a traditional proof in ZFC . Finally, we show some examples of non-trivial number-theoretical theorems that can be proved by formal languages in a natural way. These number-theoretical results concern densely divisible numbers, semi-perimeters of Pythagorean triangles, middle divisors and partitions into consecutive parts.



What Kind of Space is Cyberspace?

Por • 27 sep, 2017 • Category: Educacion

With the advent and growth of electronic communication, the word “cyberspace” has entered into everyday parlance. But what does this word signify? I begin by sketching an equivalence between physical space and cyberspace, showing that they share the concepts of place, distance, size and route in common. With this mutual framework in place, I go on to examine various theories—substantival, relational, Einsteinian and Kantian—concerning the nature of physical space. We see that, while cyberspace shares some of the properties of physical space isolated by each of these theories, still it cannot be subsumed under any one theory. We also see that cyberspace exhibits several novel properties, projecting it far beyond the scope of any existing theory and setting it apart as an exciting new spatial medium.



Set Theory Axioms Using Explication

Por • 22 sep, 2017 • Category: Educacion

This paper provides a complete suite of axioms for a version of set theory that I call Explication. Explication borrows from the two most prominent existing systems of set theory. Explication starts with class variables. After several steps, some of these class variables are identified as sets. The most crucial step is to identify classes which can explicitly say, in a finite statement, which other classes are its members. The reader is cautioned that the suite of axioms presented is a complete treatment of Explication. Statements which may or may not be true in other axiom systems are not significant.