Hemeroteca de la sección ‘Educacion’

The Eurasian Union and Complex Systems Theory

Por • 23 abr, 2018 • Category: Educacion

The contemporary, no less active processes taking place on the periphery of Russia and at other points of the planet also hint towards paradigmatic geopolitical developments. But if earlier this appeared as a threat to nation-states, then today the idea of nation-state has sunk into oblivion and modern science even possesses an explanation for these processes. Balancing between order and chaos, which necessarily arise out of the properties of complex systems, and the pluralistic and non-linear thinking characteristic of their descriptions will be useful not only for explaining the changes already underway, but will also aid in designing the new reality of the Eurasian Union. The main task is choosing the right equivalents between current geopolitical perturbations and the theories of complex adaptive systems. This is at least totally possible on a theoretical level, and as an experiment it could be extremely useful for forecasting and modeling integration processes and possible threats against them.

Term algebras of elementarily equivalent atom structures

Por • 18 abr, 2018 • Category: Educacion

We exhibit two relation algebra atom structures such that they are elementarily equivalent but their term algebras are not. This answers Problem 14.19 in the book Hirsch, R. and Hodkinson, I., “Relation Algebras by Games”, North-Holland, 2002.

Encounter with Heidegger: An invitation to journey

Por • 10 abr, 2018 • Category: Educacion

Martin Heidegger is to the highest extent a fundamental author. He belongs among those figures in the history of thought that are unavoidable. Many things can be omitted, considered optional, perused at leisure. But there is something that demands careful and thorough study. Without such study our notions [представления; notions, views, concepts, ideas; this term will be considered explicitly and in detail below; until then, it is usually translated as notions] about thinking, philosophy, [and] the history of culture will be defective, incomplete, fragmentary, and hence unreliable. Heidegger is indispensable for anyone who lives in today’s world, in today’s Russia, and tries at least somehow to ground the fact of his availability [наличия], presence [присутствия]. More often than not, of course, we do not have to speak of presence: after all, “presence” etymologically means “to be nearby the essence” [быть при сути; the word “суть” will later take on a special meaning; until the author effects that change explicitly, it will be translated as “essence”], but who now is “nearby the essence”? But maybe we can at least ponder over availability? Even he who raises a question about his availability but slightly cannot bypass Heidegger.

Cassirer and the Structural Turn in Modern Geometry

Por • 1 abr, 2018 • Category: Educacion

The paper investigates Ernst Cassirer’s structuralist account of geometrical knowledge developed in his Substanzbegriff und Funktionsbegriff (1910). The aim here is twofold. First, to give a closer study of several developments in projective geometry that form the direct background for Cassirer’s philosophical remarks on geometrical concept formation. Specifically, the paper will survey different attempts to justify the principle of duality in projective geometry as well as Felix Klein’s generalization of the use of geometrical transformations in his Erlangen program. The second aim is to analyze the specific character of Cassirer’s geometrical structuralism formulated in 1910 as well as in subsequent writings.

Hegel hoy, según Žizek

Por • 30 mar, 2018 • Category: Educacion

El pensador esloveno Slavoj Žižek, cuya obra se ha difundido mundialmente traducida a muchas lenguas, sostiene que sus proposiciones teóricas, en particular las políticas, se fundan sobre la obra de Hegel. El presente estudio examina esta relación de Žižek con Hegel: qué aspectos del sistema, del método, de los conceptos hegelianos figuran en los libros de este contemporáneo; qué tratamiento, qué interpretación reciben, cuáles son las funciones principales que estos elementos desempeñan en la manera de pensar de Žižek.

Interpreting Theories without a Spacetime

Por • 25 mar, 2018 • Category: Educacion

In this paper we have two aims: first, to draw attention to the close connexion between interpretation and scientific understanding; second, to give a detailed account of how theories without a spacetime can be interpreted, and so of how they can be understood. In order to do so, we of course need an account of what is meant by a theory `without a spacetime': which we also provide in this paper. We describe three tools, used by physicists, aimed at constructing interpretations which are adequate for the goal of understanding. We analyse examples from high-energy physics illustrating how physicists use these tools to construct interpretations and thereby attain understanding. The examples are: the ‘t Hooft approximation of gauge theories, random matrix models, causal sets, loop quantum gravity, and group field theory.

¿Es necesario el Axioma de Zermelo para comprender la teoría de la medida?

Por • 21 mar, 2018 • Category: Educacion

En este artículo estudiamos la relación que guardan entre sí el axioma de elección y la teoría de la medida y analizamos el papel que tiene el axioma para una comprensión plena de la teoría. El tema de la comprensión en matemáticas es muy extenso y ha sido ampliamente estudiado desde diversos puntos de vista; nosotros pretendemos abordar este tema desde dentro de la matemática misma.

Weyl and intuitionistic infinitesimals

Por • 17 mar, 2018 • Category: Educacion

As Weyl was interested in infinitesimal analysis and for some years embraced Brouwer’s intuitionism, which he continued to see as an ideal even after he had convinced himself that it is a practical necessity for science to go beyond intuitionistic mathematics, this note presents some remarks on infinitesimals from a Brouwerian perspective. After an introduction and a look at Robinson’s and Nelson’s approaches to classical nonstandard analysis, three desiderata for an intuitionistic construction of infinitesimals are extracted from Brouwer’s writings. These cannot be met, but in explicitly Brouwerian settings what might in different ways be called approximations to infinitesimals have been developed by early Brouwer, Vesley, and Reeb. I conclude that perhaps Reeb’s approach, with its Brouwerian motivation for accepting Nelson’s classical formalism, would have suited Weyl best.

Theory of Probability. A Historical Essay

Por • 12 mar, 2018 • Category: Educacion

This book covers the history of probability up to Kolmogorov with essential additional coverage of statistics up to Fisher. Based on my work of ca. 50 years, it is the only suchlike book. Gorrochurn (2016) is similar but his study of events preceding Laplace is absolutely unsatisfactory. Hald (1990; 1998) are worthy indeed but the Continental direction of statistics (Russian and German statisticians) is omitted, it is impossible to find out what was contained in any particular memoir of Laplace and the explanation does not always explain the path from, say, Poisson to a modern interpretation of his results. Finally, the reader ought to master modern math. statistics. I included many barely known facts and conclusions, e. g., Gauss’ justification of least squares (yes!), the merits of Bayes (again, yes!), the unforgivable mistake of Laplace, the work of Chebyshev and his students (merits and failures) etc., etc. The book covers an extremely wide field, and is targeted at the same readers as any other book on history of science. Mathematical treatment is not as difficult as it is for readers of Hald.

La interpretación antropológica de la Fenomenología del Espíritu. Aportes y problemas

Por • 1 mar, 2018 • Category: Educacion

Este artículo se refiere a una línea de interpretación de la Fenomenología del Espíritu de Hegel que tiene en Alexandre Kojève a su exponente más conocido e influyente. En ella se privilegian los aspectos antropológico-existenciales e histórico-políticos por sobre los aspectos lógico-sistemáticos de la obra. La exposición se divide en dos partes. La primera está dedicada a la lectura de Hegel realizada por Kojève en su célebre curso dictado entre 1933-1939 en la École Practique des Hautes Études de París, y la segunda se ocupa de su aporte a cinco filósofos directamente influidos por su interpretación. Finalmente concluye con una breve evaluación de estas lecturas.