Fractal
http://en.wikipedia.org/wiki/FractalA fractal is a mathematical set that has a fractal dimension that usually exceeds its topological dimension[1] and may fall between the integers.[2]. Fractals are typically self-similar patterns, where self-similar means they are "the same from near as from far"[3] Fractals may be exactly the same at every scale, or as illustrated in Figure 1, they may be nearly the same at different scales.[4][5][2][6] The definition of fractal goes beyond self-similarity per se to exclude trivial self-similarity and include the idea of a detailed pattern repeating itself.[2]:166; 18[4][7]
As mathematical equations, fractals are usually nowhere differentiable, which means that they cannot be measured in traditional ways.[6][2][8] An infinite fractal curve can be perceived of as winding through space differently from an ordinary line, still being a 1-dimensional line yet having a fractal dimension indicating it also resembles a surface. [2]:15[1]:48
Marcadores de Definición: is a, are, where, may be, which means
Definiciones: Un fractal es un conjunto matemático que posee una dimensión fractal que usualmente excede su dimensión topológica. Los fractales son comunmente patrones semejantes a sí mismos, lo que significa que son "lo mismo de cerca y de lejos". Los fractales pueden ser exactamente lo mismo en cualquier escala.
Jürgen Habermas
Jürgen Habermas ( /ˈjɜrɡən/ or /ˈjʊərɡən ˈhɑːbərmɑːs/;[1] German: [ˈjʏʁɡən ˈhaːbɐmaːs]; born June 18, 1929) is a German sociologist and philosopher in the tradition of critical theory and pragmatism. He is perhaps best known for his theory on the concepts of 'communicative rationality' and the 'public sphere'. His work focuses on the foundations of social theory and epistemology, the analysis of advanced capitalistic societies and democracy, the rule of law in a critical social-evolutionary context, and contemporary politics, particularly German politics. Habermas's theoretical system is devoted to revealing the possibility of reason, emancipation, and rational-critical communication latent in modern institutions and in the human capacity to deliberate and pursue rational interests. Habermas is known for his work on the concept of modernity, particularly with respect to the discussions of "rationalization" originally set forth by Max Weber. While influenced by American pragmatism, action theory, and even poststructuralism, many of the central tenets of Habermas' thought remain broadly Marxist in nature. Global polls identified him as one of the leading intellectuals of the present.[2]
Born in Düsseldorf, Rhine Province, in 1929, to a middle class and rather traditional family, Habermas came of age in postwar Germany. In his early teens, during World War II, Habermas was profoundly affected by the war. The Nuremberg Trials were a key formative moment that brought home to him the depth of Germany's moral and political failure under National Socialism.
Born in Düsseldorf, Rhine Province, in 1929, to a middle class and rather traditional family, Habermas came of age in postwar Germany. In his early teens, during World War II, Habermas was profoundly affected by the war. The Nuremberg Trials were a key formative moment that brought home to him the depth of Germany's moral and political failure under National Socialism.
Until his graduation from gymnasium, Habermas lived in Gummersbach, near Cologne. His father, Ernst Habermas, was executive director of the Cologne Chamber of Industry and Commerce, and was described by Habermas as a Nazi sympathizer. He was brought up in a staunchly Protestant milieu, his grandfather being the director of the seminary in Gummersbach. He studied at the universities of Göttingen (1949/50), Zürich (1950/51), and Bonn (1951–54) and earned a doctorate in philosophy from Bonn in 1954 with a dissertation written on the conflict between the absolute and history in Schelling's thought, entitled, Das Absolute und die Geschichte. Von der Zwiespältigkeit in Schellings Denken ("The absolute and history: on the schism in Schelling's thought"). His dissertation committee included Erich Rothacker and Oskar Becker.
From 1956 on, he studied philosophy and sociology under the critical theorists Max Horkheimer and Theodor Adorno at the Johann Wolfgang Goethe University Frankfurt am Main Institute for Social Research, but because of a rift between the two over hisdissertation—Horkheimer had made unacceptable demands for revision—as well as his own belief that the Frankfurt School had become paralyzed with political skepticism and disdain for modern culture[3]—he finished his habilitation in political science at theUniversity of Marburg under the Marxist Wolfgang Abendroth. His habilitation work was entitled, Strukturwandel der Öffentlichkeit; Untersuchungen zu einer Kategorie der Bürgerlichen Gesellschaft (published in English translation in 1989 as The Structural Transformation of the Public Sphere: an Inquiry into a Category of Bourgeois Society). It is a detailed social history of the development of the bourgeois public sphere from its origins in the 18th century salons up to its transformation through the influence of capital-driven mass media. In 1961, he became a privatdozent in Marburg, and—in a move that was highly unusual for the German academic scene of that time—he was offered the position of "extraordinary professor" (professor without chair) of philosophy at the University of Heidelberg (at the instigation of Hans-Georg Gadamer and Karl Löwith) in 1962, which he accepted. In this same year he gained his first serious public attention, in Germany, with the publication of his habilitation. In 1964, strongly supported by Adorno, Habermas returned to Frankfurt to take over Horkheimer's chair in philosophy and sociology. The philosopher Albrecht Wellmer was his assistant in Frankfurt from 1966 to 1970.
Marcadores de Tiempo: in, during, until, from / to, this same year, From / on.
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