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EN
As a result of studying certain phenomena gained on the plane, the unit circle and on the earth sphere we present here some introductory notations and remarks, concerning the problems in question.
EN
The issue of using the physical method in economics is no longer an innovative idea. However, nowadays the methods of mathematical quantum mechanics are also applied to economic sciences. This is the natural result of the fact that as applicable in quantum mechanics, mathematical spaces and tools turn out to be useful in other fields of science. Then it is possible to assume that the problem of the choice of the space is a universal question that is associated not only with mathematics and physics but also with economics or social sciences. In this paper the author considers various formulations of Hilbert space in relation to finite-dimensional quantum mechanics which constitutes a fundament to also apply my outcomes in economics. On the basis of mathematical considerations the author puts forward the hypothesis that the complex Hilbert space is characterized with numerous advantages in relation to its real and quaternionic alternatives.
EN
Krzysztof Maurin was an extremely versatile intellectual and academic teacher. He worked in mathematics (monograph “Methods of Hilbert space”), philosophy (publication “Karl Jaspers – a philosopher of truthfulness”), theology (essay “The Son of Man as the foundation of great religions”) as well as in psychology and he taught in the Faculty of Physics of the Warsaw University: I was taught by Him during a second half of His life since the beginning of the 70s. Now we are seeing and presenting his various activities in the time analysed by him in senses of quantum and cosmic physics, Heidegger's philosophy,  Schweitzer's theology and human and humanitarian psychology. Therefore we remind below his lectures on Medieval Universities, Humboldt's reform, the XIX century mathematics and indeterministic interpretation of quantum mechanics. Then, according to a chronological order, we are switching our attention to Krzysztof Maurin himself as a student of university underground courses during the time do Nazists occupation in Poland, then as a silent university employee resisting communist totalitarian ideology and after 1956, as a methodical professor of the University of Warsaw collaborating with Western Europe scientists such as Lårs Gårding, Werner Heisenberg, Rene Thom and Friedrich von Weizsacker as well as admiring especially intellectual achievements of Hermann Weyl and Martin Heidegger. To the end of biographical considerations we can observe successes and obstacles encountered by Krzysztof Maurin while He has tended to conciliate various or opposite ways of philosophical understanding or social behaving by his beloved thinkers.
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