Claude Elwood Shannon

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Claude Shannon

Claude Elwood Shannon (April 30, 1916 – February 24, 2001), an American electrical engineer and mathematician, has been called "the father of information theory", and was the founder of practical digital circuit design theory.

Biography

Shannon was born in Petoskey, Michigan. The first sixteen years of Shannon's life were spent in Gaylord, Michigan, where he attended the Public School, graduating from Gaylord High School in 1932. While growing up, he worked as a messenger for Western Union. Shannon was a distant relative of Thomas Edison.

Boolean theory

In 1932, Shannon entered the University of Michigan, where he took a course that introduced him to the works of George Boole. He graduated in 1936 with two bachelor's degrees, one in electrical engineering and one in mathematics, then began graduate study at the Massachusetts Institute of Technology, where he worked on Vannevar Bush's differential analyzer, an analog computer.

While studying the complicated ad hoc circuits of the differential analyzer, Shannon saw that Boole's concepts could be used to great utility. A paper drawn from his 1937 master's thesis, A Symbolic Analysis of Relay and Switching Circuits, was published in the 1938 issue of the Transactions of the American Institute of Electrical Engineers. It also earned Shannon the Alfred Noble American Institute of American Engineers Award in 1940. Howard Gardner, of Harvard University, called Shannon's thesis "possibly the most important, and also the most famous, master's thesis of the century".

In this work, Shannon proved that Boolean algebra and binary arithmetic could be used to simplify the arrangement of the electromechanical relays then used in telephone routing switches, then turned the concept upside down and also proved that it should be possible to use arrangements of relays to solve Boolean algebra problems. Exploiting this property of electrical switches to do logic is the basic concept that underlies all electronic digital computers. Shannon's work became the foundation of practical digital circuit design when it became widely known among the electrical engineering community during and after World War II. The theoretical rigor Shannon's work supplied completely replaced the "ad hoc" methods that had prevailed heretofore.

Flush with this success, Vannevar Bush suggested that Shannon work on his dissertation at Cold Spring Harbor Laboratory, funded by the Carnegie Institution headed by Bush, to develop similar mathematical relationships for Mendelian genetics, which resulted in Shannon's 1940 PhD thesis at MIT, An Algebra for Theoretical Genetics.

Wartime research

Shannon then joined Bell Labs to work on fire-control systems and cryptography during World War II, under a contract with section D-2 (Control Systems section) of the National Defense Research Committee (NDRC).

In 1945, as the war was coming to an end, the NDRC was issuing a summary of technical reports as a last step prior to its eventual closing down. Inside the volume on Fire Control a special essay titled Data Smoothing and Prediction in Fire-Control Systems, coauthored by Richard B. Blackman, Hendrik Wade Bode, and Claude Shannon, formally introduced the problem of Fire Control as a special case of transmission, manipulation and utilization of intelligence, in other words it modeled the problem in terms of Data and Signal Processing and thus heralded the coming of the information age. Shannon was greatly influenced by this work. It is clear that the technological convergence of the information age was preceded by the synergy between these scientific minds and their collaborators.

Postwar contributions

Shannon and his famous electromechanical mouse Theseus, named after the Greek mythology hero of Minotaur and Labyrinth fame, and which he tried to teach to come out of the maze in one of the first experiments in artificial intelligence.

In 1948 Shannon published A Mathematical Theory of Communication article in two parts in the July and October issues of the Bell System Technical Journal. This work focuses on the problem of how to best encode the information a sender wants to transmit. In this fundamental work he used tools in probability theory, developed by Norbert Wiener, which were in their nascent stages of being applied to communication theory at that time. Shannon developed information entropy as a measure for the uncertainty in a message while essentially inventing what became known as the dominant form of "information theory." The book, co-authored with Warren Weaver, The Mathematical Theory of Communication, reprints Shannon's 1948 article and Weaver's popularization of it, which is accessible to the non-specialist. Shannon's concepts were also popularized, subject to his own proofreading, in John Robinson Pierce's Symbols, Signals, and Noise.

Another notable paper published in 1949 is Communication Theory of Secrecy Systems, a major contribution to the development of a mathematical theory of cryptography. He is also credited with the introduction of Sampling Theory, which is concerned with representing a continuous-time signal from a (uniform) discrete set of samples.

He returned to MIT to hold an endowed chair in 1956.

Hobbies and Inventions

Outside of his academic pursuits, Shannon was interested in juggling, unicycling, and chess. He also invented many devices, including a rocket-powered pogo stick, a wearable computer to predict the result of playing roulette [1], and a flame-throwing trumpet for a science exhibition. One of his more humorous devices was a box he kept on his desk with a single switch on the side. When the switch was flipped, the lid of the box opened and a mechanical hand reached out, flipped off the switch, then retracted back inside the box.

Legacy and Tributes

Shannon came to the Massachusetts Institute of Technology (MIT) in 1956 to join its faculty and to conduct work in the Research Laboratory of Electronics (RLE). He continued to serve on the MIT faculty until 1978. To commemorate his achievements, there were celebrations of his work in 2001, and there are currently five statues of Shannon: one at the University of Michigan; one at MIT in the Laboratory for Information and Decision Systems; one in Gaylord, Michigan; one at the University of California at San Diego; and another at Bell Labs. After the breakup of the Bell system, the part of Bell Labs that remained with AT&T was named Shannon Labs in his honor.

Robert Gallager has called Shannon the greatest scientist of the 20th century. According to Neil Sloane, an AT&T fellow who co-edited Shannon's large collection of papers in 1993, the perspective introduced by Shannon's communication theory (now called information theory) is the foundation of the digital revolution and every device containing a microprocessor or microcontroller is a conceptual descendant of Shannon's 1948 publication.^[1] "He's one of the great men of the century. Without him, none of the things we know today would exist. The whole digital revolution started with him," said Neil Sloane, according to a Star-Ledger obituary article.^[2] Yet Shannon, whose genius many scientists consider at par with Einstein's, was oblivious to the marvels of the digital revolution because his mind was ravaged by Alzheimer's disease, his wife mentioned in the same Star-Ledger article. "He would have been bemused" by it all, Betty Shannon added.^[2]

Shannon miscellany

Shannon's computer chess program

In 1950 Shannon published a groundbreaking paper on computer chess entitled Programming a Computer for Playing Chess. It describes how a machine or computer could be made to play a reasonable game of chess. His process for having the computer decide on which move to make is a minimax procedure, based on an evaluation function of a given chess position. Shannon gave a rough example of an evaluation function in which the value of the black position was subtracted from that of the white position. Material was counted according to the usual relative chess piece point value (1 point for a pawn, 3 points for a knight or bishop, 5 points for a rook, and 9 points for a queen). He considered some positional factors, subtracting ½ point for each doubled pawn, backward pawn, and isolated pawn. Another positional factor in the evaluation function was mobility, adding 0.1 point for each legal move available. Finally, he considered checkmate to be the capture of the king, and gave it the artificial value of 200 points. Quoting from the paper:

The coefficients .5 and .1 are merely the writer's rough estimate. Furthermore, there are many other terms that should be included. The formula is given only for illustrative purposes. Checkmate has been artificially included here by giving the king the large value 200 (anything greater than the maximum of all other terms would do).

The evaluation function is clearly for illustrative purposes, as Shannon stated. For example, according to the function, pawns that are doubled as well as isolated would have no value at all, which is clearly unrealistic.

The reason for assigning checkmate a value higher than the maximum sum of all other terms is so that the minimax procedure will value checkmate above all else and thus it will sacrifice as much material as it has to in order to prevent itself from being checkmated, or to checkmate the opponent. The value is arbitrary — any number larger than the sum of all of the other terms would cause the minimax procedure to give the same result.

The Las Vegas connection: Information theory and its applications to game theory

Shannon and his wife Betty also used to go on weekends to Las Vegas with M.I.T. mathematician Ed Thorp,^[3] and made very successful forays in roulette and blackjack using game theory type methods co-developed with fellow Bell Labs associate, Texas tough guy, recreational gunslinger, daredevil pilot and physicist John L. Kelly Jr. based on principles of information theory,^[4] making a fortune as detailed in the book Fortune's Formula by William Poundstone and corroborated by the writings of Elwyn Berlecamp,^[5] Kelly's research assistant in 1960 and 1962.^[6] Shannon and Thorp also applied the same theory, later known as the Kelly criterion, to the stock market with even better results.^[7]

Other trivia

He met his wife Betty when she was a numerical analyst at Bell Labs.

Awards and honors list

• Alfred Noble Prize in 1940
• Morris Liebmann Memorial Award of the Institute of Radio Engineers in 1949
• Yale University (Master of Science) in 1954
• Stuart Ballantine Medal of the Franklin Institute in 1955
• Research Corporation Award in 1956
• University of Michigan, honorary doctorate, in 1961
• Rice University Medal of Honor in 1962
• Princeton University, honorary doctorate, in 1962
• Marvin J. Kelly Award in 1962
• University of Edinburgh, honorary doctorate, in 1964
• University of Pittsburgh, honorary doctorate, in 1964
• Institute of Electrical and Electronics Engineers Medal of Honor in 1966
• National Medal of Science in 1966, presented by President Lyndon B. Johnson
• Golden Plate Award in 1967
• Northwestern University, honorary doctorate, in 1970
• Harvey Prize, the Technion of Haifa, Israel, in 1972
• Royal Netherlands Academy of Arts and Sciences (KNAW), foreign member, in 1975
• University of Oxford, honorary doctorate, in 1978
• Joseph Jacquard Award in 1978
• Harold Pender Award in 1978
• University of East Anglia, honorary doctorate, in 1982
• Carnegie Mellon University, honorary doctorate, in 1984
• Audio Engineering Society Gold Medal in 1985
• Kyoto Prize in 1985
• Tufts University, honorary doctorate, in 1987
• University of Pennsylvania, honorary doctorate, in 1991
• Eduard Rhein Prize in 1991
• National Inventors Hall of Fame inducted in 2004

See also

• Shannon-Fano coding
• Shannon-Hartley law
• Nyquist-Shannon sampling theorem
• Shannon's theorem
• Rate distortion theory
• Information theory
• Confusion and diffusion
• One-time pad
• Shannon switching game
• Shannon number
• Claude E. Shannon Award

References

Cited references

General references

External links

• A Mathematical Theory of Communication
• Communication Theory of Secrecy Systems
• Communication in the Presence of Noise
• Summary of Shannon's life and career
• John J. O'Connor and Edmund F. Robertson. Claude Elwood Shannon at the MacTutor History of Mathematics archive.
• Biographical summary from Shannon's collected papers
• Video documentary: "Claude Shannon - Father of the Information Age"
• Mathematical Theory of Claude Shannon In-depth MIT class paper on the development of Shannon's work to 1948.
• Obituary at MIT
• Obituary Royal Netherlands Academy of Sciences (in Dutch)
• Retrospective at the University of Michigan
• Notes on Computer-Generated Text
• Shannonizer An example of his work
• Shannon's Juggling Theorem and Juggling Robots
• Shannon's paper on computer chess, text
• Shannon's paper on computer chess (PDF)
• Shannon's paper on computer chess, text, alternate source
• Photos