Arquivo para a ‘Matemática’ Categoria

The crisis of Science and Knowledge

22 May

The quantum physics that dismantled the building of mechanistic physics, which was the idea of ​​an increasingly mathematical knowledge, and this would be rigor and not philosophy, in the sense of thinking, is a crisis established in the beginning of the last century, studies of the Vienna Circle and Husserl’s statement of the crisis of the European sciences were the initial contours of this crisis.

On the crisis in European culture caused by the orthodox view of science as a privileged discourse of appropriation of the world being, pointed out in the original idea of ​​Edmund Husserl in “The Crisis of the European Sciences and the Transcendental Phenomenology” (2002), Heidegger points to a crisis in European culture caused by the orthodox view of science as the privileged discourse of appropriation of the being of the world.

Heidegger later wrote of it: “The decisive development of the character of modern enterprise of science, therefore, also wed another species of man. The scholar disappears. It is rendered by the researcher (researcher) who is in his research endeavors. These, and not the care of a erudition, give to their work the fresh air. The investigator no longer needs any library at home. He is constantly on the move. Discusses in colloquies Discusses in colloquiums and is informed in congresses. “(HEIDEGGER, 2002, p.108).

It was pointed out correctly by the Brazilian researcher, Cintia Struchiner, that “this is not a crisis of the sciences as such (it is quite obvious that the sciences continue to progress and produce knowledge), but it is basically a crisis of sense. The neutrality of the world of science leaves out fundamental human questions (values, culture, ethics), so that between the world of science and the life-world a process of detachment is gradually being established. Husserl’s point is that science, so constituted, has very little to offer us regarding the most fundamental issues for humanity: its values, its culture and the sense of individual and collective existence” (STRUCHINER, 2007)

The contours of this crisis lie in the vision and thought of science, but extrapolate these and emerge in a culture of obscurity, ignorance as thought, the immediacy of the being of the world, and the emptying of being-in-the-world produces only a weariness, an absence of essentiality, a superficial criticism that does not leave the technician and does not discuss technique as an essential knowledge, but does not exhaust itself, because it does not contemplate Being.

These changes continue to occur in the 21st century, a European work explains this through phenomenology itself, showing the digitization and opening of this knowledge:


HEIDEGGER, H. Caminhos de floresta. Lisboa: Fundação Calouste Gulbenkian, 2002.

HUSSERL, E. A Crise das Ciências Europeias e a Fenomenologia Transcendental, São Paulo Ed. Forense Universitária, 2012.

STRUCHINER, Cinthia Dutra. Fenomenologia: de volta ao mundo-da-vida. Rev. abordagem gestalt., Goiânia , v. 13, n. 2, p. 241-246, dez. 2007 .


The informational impact

08 May

Society, information abundance, information turnaround and other appeals to the novelty that arose not with the internet, but with the computer and the possibility of handling the data in volume (Big Data) certainly brought a new perspective.

Anyone who wanted to understand eighteenth-century society should study the industrial revolution and its impact on manpower and the production of serial products, today anyone who wants to analyze contemporary society cannot lose sight of the volume of data they are produced to try to make this volume accessible to society.

But it is not so, because together with this volume came by previous process, it is only to check with history, not the romantic dreamed by idealists, but the real one and to realize that the problem of both Information in volume and depth, made it difficult to digging and knowing what is essential.

We have already posted here Karl Kraus, who complained to journalists in the midst of the threat of a second world war because of misunderstood news highlighting only interests. In an interview with the newspaper El Pais, Peter Sloterdijk also warned that “it is difficult to think of contemporary society,” Byung Chul Han his disciple alert to “active vita” (Chul-Han)

The phenomenon we witnessed in which information became practically a commodity, started with the digital model of Shannon (photo) and the Turing machine in the 1930s, and accelerated with the construction of modern computers.

What we witnessed and did not always participate in an “active” and reflexive way, able to elaborate thinking about information, is the fragmentation of knowledge accelerated by new gadgets, but which was initiated by a crisis in the thinking of Western society, which only deepened over the years, its initializing in modernity.

The Movie The game of imitation (2015) illustrates the life of Alain Turing and his theory:




Mathematics woman wins Abel award

21 Mar

Niels Henrik Abel was born on August 5, 1802 in Finnoy, Norway, and died on April 16, 1829 in Froland, when he went to visit the bride on a sleigh, and died days later in 1829, his main work Recherches sur les fonctions elliptiques was published in 1827 in the first volume of Crelle’s Diary, a mathematics-only diary.
The Abel Prize was established in Norway in 2002, and now for the first time a woman wins the award, the American Karen Keskulla Uhlenbeck, who according to the Norwegian Academy of Literature and Sciences held “pioneering achievements in differential equations in Gauge Theory and integrable systems; and for the fundamental impact of his work on analysis, geometry, and mathematical physics.”
The Gauge Theories, or Caliber´s Theories, formalize a class of physical theories based on the idea that the symmetry transformations, which can be either local or global. These ideas apply not only to field theories, but to so-called finite-dimensional systems, as are those modeled by ordinary differential equations.
It is an important model in the generalization of the General Relativity Theory and curious that arises at the same time from the proof of the non-objectivity of science (see the post), although there is no immediate relationship, the fact that local results are not objective is interesting for a mathematical theory shows that they are both important, how would the composition of the two results be?
The Nature magazine on March 19 dedicated a special note to Karen.
This vídeo of the Spring River shows the Gauge Theory: