Mathematics and Mathematics: in the media between the arts and sciences

Abstract

The question about interaction and possible dialogue between science and arts gradually appears in the history of Western thought as those who practice trades whose associated knowledge are found in what we could call the border between both territories, they become aware, in Some cases, of the most technological-instrumental character of the objectives of its discipline and, in others, of its sense more related to emotional or "spiritual" aspects of human life.

Without pointing to an archeology of such (s) historical process (s), the purpose of this article or presentation is to focus a territory of human intellectual activity that, in my opinion, occupies a very particular position in the sense of lend to that double consideration as science and as art, that is, as guided by techno-instrumental purposes and/or, depending on the cases, for aesthetic order aspirations. I am referring to mathematics.

I will try to show by examples taken from history, how in many cases transcendental contributions in this discipline entailed palmarias samples of being guided by criteria of beauty or sense of aesthetic harmony that transcended the requirements of logical or epistemological rigor.

In addition, I will mention that the reverse situation is not uncommon: artists looking for beauty or aesthetic harmony in mathematical models or even computational logical resources to inspire or guide their productions.