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Message: <blockquote data-quote="imhotep" data-source="post: 30159462" data-attributes="member: 562115">Many only know about him because of the Von Neuman architectture - which is the fundamental architecture upon which nearly all digital computers have been based.He was born to a Jewish family in Hungary. He was a child prodigy in playing Chess and for doing complex calculations in his head. He was only 17 when he published his first mathematical paper on zeros of Chebyshev polynomials.He acquired his PhD in Mathematics from the University of Vienna.He was really a genius, but sadly critically under appreciated. He wasn't considered as a good teacher because he erased his blackboard before the students could copy.  But was one of the greatest mathematicians, scientists, and logicians in history.Hilbert had a project to geet mathematics on more rigourous grounds but Russel's Paradox threatened it.Von Neumann’s solution to this problem came out in a paper in 1925. In it, he lists, on one page, all the axioms needed to build up set theory. To avoid Russell’s paradox, he introduces sets and classes. A class is defined as a collection of sets that share a property. There is no “set of all sets that are not members of themselves”, but there is a “class of all sets that are not members of themselves”. This class is not a member of itself, because it is not a set (it’s a class).There are many other contributions by von Neumann in various fields.  In 1955, von Neumann noted that computing capacity had nearly doubled every year since 1945, and he was of the opinion that this trend would continue. Noteworthy, since it predates Moore’s law by ten years.Sadly he passed away on 8 February 1957 (age 53 years), Walter Reed Army Medical Center. He had bone cancer.Anyone who considers arithmetical methods of producing random digits is, of course, in a state of sin.”― John von Neumann</blockquote>

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