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Von Neumann

Commentary by Dr. Gerhard Falk

     

John von Neumann

Although Jews constitute only 1.8% of all Americans, more than 50% of all members of the division of mathematics and applied mathematical sciences of the U.S. Academy of Science are Jewish. Furthermore, 61% of all winners of the lifetime achievement award in mathematics are Jewish. Additional evidence for Jewish accomplishments in mathematics is easily found. For example, the winners of 41% of the Wolf Prize in Mathematics are Jews; 42% of the winners of the Bocher Memorial Prize in mathematics are Jews and 44% of the winners of the Frank Nelson Cole Prize in Algebra and Numbers theory are Jews.

The number and contributions of Jewish mathematicians is so great and so long that they cannot be reproduced here. Therefore I will introduce you to only one very important Jewish mathematician because his life and attitude towards Judaism are typical of almost all Jewish scientists. This does not mean that his contributions to mathematics are not unique.

John von Neumann was a major contributor to quantum mechanics. Quantum mechanics developed gradually from the works of Rutherford, Einstein and others but was finalized and placed on a solid foundation by Heisenberg in 1925. Heisenberg (not Jewish. A German Nazi) is also known as the mathematician who developed the “uncertainty principle”.

Von Neumann is credited with developing the mathematical framework of the theory. In 1929 von Neumann wrote a paper dealing with self-adjoint algebras of bounded linear operators on a Hilbert space. Von Neumann called these developments “rings of operators” but his colleagues called them “von Neumann algebras”. This work and his understanding of the work of the mathematician Borel led von Neumann to the creation of game theory, which proved the minimax theorum and led to his collaboration with Morgenstern (also Jewish) in writing the fundamental text known to all economics students and called Theory of Games and Economic Behaviour (published in England).

In 1938 von Neumann was awarded the Bocher prize for his study of periodic functions. Thereafter he turned to a study of hydrodynamical turbulence which in turn led to his study of non-linear partial differential equations. This in turn caused him to study electronic machines so that he became one of the pioneers of computer science. Von Neumann contributed to “automata theory” and then became involved in a mixture of pure and applied mathematics. He invented the theory of cellular automata and created the idea of a bit as a measurement of computer memory.

During the second World War von Neumann was instrumental in proposing implosion as a method of bringing nuclear fuel to explosion and thereafter contributed to the development of the hydrogen bomb.

The achievements of von Neumann are of course far greater than what can be presented here.

He was born in Budapest, Hungary in 1903 and died in Washington D.C. in 1957. His father was a wealthy banker who gave Janos an extended education in languages and science. Although his father was by no means a member of any nobility, he bought the title “von”, yet never used it. It was his son, now known as John, who used it throughout his life in an effort to pretend German ancestry when in fact he was a Hungarian Jew.

No one in his family ever practiced Judaism. Nevertheless, his family became the targets of Hungarian Jew haters after the Hungarian government was overthrown by a Jewish communist in 1919. That communist government only lasted five months, but all Jews were blamed because the leader of the communist party was a Jew named Kuhn.

Thereafter, von Neumann studied at several Hungarian and German universities and received a Ph.D. in mathematics from the University of Budapest in 1926 after also graduating from the University of Zurich in Chemical Engineering in that same year, 1926.

In 1929 von Neumann was invited to become a member of the Princeton faculty and therefore escaped the Nazi persecutions soon to follow.

He died when he was only 54 years old. He received so many honors and distinctions that even one feature of the moon is named “von Neumann crater”.

There are many Jewish scientists in America and elsewhere who are utterly unconnected to the Jewish community, as was von Neumann. I counted the number of Jews or pseudo-Jews who became famous in science over the past 100 years and found that only Albert Einstein identified himself with the Jewish people, although he too had no affiliation with any Jewish organization or congregation. Like almost all scientists, Einstein was a deist. He had no religion but believed that Shem Yisborach exists, as he repeatedly wrote that “God does not play dice with the universe.”

If this has aroused in interest in you in the history of mathematics, why not read Eric Bell’s book Men of Mathematics.

Shalom u’vracha.

Dr. Gerhard Falk is the author of numerous publications, including Grandparents:  A New Look at the Supporting Generation (with Dr. Ursula A., Falk, 2002), & Man's Ascent to Reason (2003).

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