scholarly journals Eugene Wigner, Pupil of a legendary School

2014 ◽  
Vol 78 ◽  
pp. 01007
Author(s):  
László Kovács
Keyword(s):  
Nature ◽  
1995 ◽  
Vol 373 (6512) ◽  
pp. 288-288
Author(s):  
Frederick Seitz
Keyword(s):  

Philosophies ◽  
2018 ◽  
Vol 3 (4) ◽  
pp. 25
Author(s):  
Matt Visser

Eugene Wigner famously argued for the “unreasonable effectiveness of mathematics” as applied to describing physics and other natural sciences in his 1960 essay. That essay has now led to some 58 years of (sometimes anguished) philosophical soul searching—responses range from “So what? Why do you think we developed mathematics in the first place?”, through to extremely speculative ruminations on the existence of the universe (multiverse) as a purely mathematical entity—the Mathematical Universe Hypothesis. In the current essay I will steer an utterly prosaic middle course: Much of the mathematics we develop is informed by physics questions we are trying to solve; and those physics questions for which the most utilitarian mathematics has successfully been developed are typically those where the best physics progress has been made.


MRS Bulletin ◽  
1994 ◽  
Vol 19 (3) ◽  
pp. 60-62 ◽  
Author(s):  
Frederick Seitz

I presume that many of you will be surprised to learn that John von Neumann, a great mathematician, and a remarkable man, had even a passing interest in materials science since his name is usually associated with work in function theory, mathematical logic, the mathematical foundations of quantum mechanics, game theory, and of course with the development of computer logic. Actually, he was deeply interested in the evolution of materials science and technology, and he played an important role in giving prominence to materials science at a critical time in its evolution. But first let me tell you a little about his life.John von Neumann was born in Budapest, Hungary, in 1903 into a prominent business family. His mathematical genius was recognized early by his high school teacher, Lázsló Ratz, who insisted that he receive special tutoring since mathematical geniuses tend to flower early. He became a close and, indeed, a lifetime friend of a slightly older fellow student, Eugene Wigner, who was inspired by the same mathematics teacher. The two of them frequently wandered home together after school, with von Neumann providing a tutorial on some aspect of mathematics while Wigner, who had a comparably brilliant mind, absorbed everything. The two students had different personalities, but shared a great love of mathematics.Von Neumann was never a narrow genius. He soaked up knowledge of all kinds rapidly and was exposed to much because the von Neumann family dinner gatherings were devoted to discussions of technical, historical and cultural affairs, as well as business. This great versatility in interests was a characteristic trademark of von Neumann‘s entire life.


2018 ◽  
Vol 1 ◽  
Author(s):  
Jacek Banasiak

Both biology and mathematics have existed as well established branches of science for hundreds of years and both, maybe not in a well defined way, have been with the humankind for a couple of thousands of years.  Though nature  was studied by the ancient civilizations of Mesopotamia, Egypt, the Indian subcontinent and China, the origins of modern biology are typically traced back to the ancient Greece, where Aristotle (384-322 BC) contributed most extensively to its development. Similarly,  the  ancient Babylonians were able to solve quadratic equation over four millennia ago and we can see the development of mathematical methods in all ancient civilisations, notably in China and on the Indian subcontinent. However, possibly again the Greeks were the first who studied mathematics for its own sake, as a collection of abstract objects and relations between them.  Nevertheless, despite the fact that the development  of such a mathematics has not required any external stimuli, an amazing feature of the human mind is that a large number of abstract mathematical constructs has proved to be very well suited for describing natural phenomena.This prompted Eugene Wigner to write his famous article The Unreasonable Effectiveness of Mathematics in the Natural Sciences,  ...


Author(s):  
Otávio Bueno ◽  
Steven French

Eugene Wigner famously challenged philosophers to account for ‘the unreasonable effectiveness of mathematics’. Mark Steiner responded that mathematics is essentially species specific and thus the strategies involved in its applicability are, at their core, anthropocentric. This chapter tackles Steiner’s claims and suggests that the mystery he sees in mathematics’ applicability can be dispelled by adopting a kind of optimistic attitude with regard to the variety of mathematical structures that are typically made available in any given context. This suggests applying mathematics is simply a matter of finding a structure to fit the phenomena in question. However, as Wilson notes, mathematics is more ‘rigid’ than this attitude assumes and certain ‘special circumstances’ must obtain for it to be brought into contact with physics. We suggest that it is via certain idealizations that these circumstances are constructed and the mystery of the applicability of mathematics is dispelled.


2000 ◽  
Vol 6 (3) ◽  
pp. 265-283 ◽  
Author(s):  
David Deutsch ◽  
Artur Ekert ◽  
Rossella Lupacchini

§1. Mathematics and the physical world. Genuine scientific knowledge cannot be certain, nor can it be justified a priori. Instead, it must be conjectured, and then tested by experiment, and this requires it to be expressed in a language appropriate for making precise, empirically testable predictions. That language is mathematics.This in turn constitutes a statement about what the physical world must be like if science, thus conceived, is to be possible. As Galileo put it, “the universe is written in the language of mathematics”. Galileo's introduction of mathematically formulated, testable theories into physics marked the transition from the Aristotelian conception of physics, resting on supposedly necessary a priori principles, to its modern status as a theoretical, conjectural and empirical science. Instead of seeking an infallible universal mathematical design, Galilean science usesmathematics to express quantitative descriptions of an objective physical reality. Thus mathematics became the language in which we express our knowledge of the physical world — a language that is not only extraordinarily powerful and precise, but also effective in practice. Eugene Wigner referred to “the unreasonable effectiveness of mathematics in the physical sciences”. But is this effectiveness really unreasonable or miraculous?Numbers, sets, groups and algebras have an autonomous reality quite independent of what the laws of physics decree, and the properties of these mathematical structures can be just as objective as Plato believed they were (and as Roger Penrose now advocates).


1992 ◽  
Vol 38 ◽  
pp. 145-162 ◽  

Herbert Fröhlich who died in Liverpool on 23 January 1991, at the age of 85, was one of the group of theoretical physicists who started research just after the new quantum mechanics was formulated, and subsequently spent their lives in applying it to outstanding problems of physics and chemistry, and in Fröhlich’s case also to biology. This group included such figures as Hans Bethe, Rudolf Peierls, Eugene Wigner and Edward Teller, as well as the author of this article; most of them came from Central Europe and, with the rise of Hitler, made their careers in England or the United States, with very positive effects on the development of science in both these countries. Fröhlich, apart from a short stay in the Soviet Union and some months in Leiden, spent his whole career after the rise of Hitler based in Bristol and then in Liverpool; he made extended visits to Germany, Japan and America. His interests were unusually wide. As early as 1936 he published (in German) the first book to be devoted to the application of quantum mechanics to electrons in metals (i)*. In Bristol, already before and during the war, he developed a theory of dielectric behaviour, and in particular dielectric breakdown, which attracted much interest in the electrical industry, and financial support. At the same time he worked with Kemmer and Heitler on a problem of particle physics, a subject in which he maintained a deep interest throughout his life. Later, in Liverpool, he turned his attention to the unsolved problem of superconductivity. Here he pointed out that electron-phonon interaction could produce a weak attraction between the electrons. Although a proof that the resultant pairing lead to superconductivity had to await the Nobel prizewinning work of Bardeen, Cooper and Schrieffer a few years later, Fröhlich was confident that the origin of superconductivity lay in this attractive force, and predicted that the strength of this force, and hence the transition temperature, would depend on the vibrational frequency of the phonons and therefore on the isotopic mass. This was a turning point in our understanding, as most physicists realized. During the later years of his active career, which lasted until a few weeks before his death, he created an important new subject, applying concepts developed in his work on superconductivity to certain problems of biology.


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