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Edwin Thompson Jaynes

 

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Edwin Thompson Jaynes



 
 
Edwin Thompson Jaynes (Waterloo, Iowa
Waterloo, Iowa

Waterloo is a city in and the county seat of Black Hawk County, Iowa, Iowa, United States. As of the 2000 United States Census, the city had a total population of 68,747....
, July 5, 1922 – St. Louis, Missouri
St. Louis, Missouri

St. Louis is an independent city in the U.S. state of Missouri, located near the confluence of the Mississippi River and the Missouri River. St....
, April 30, 1998) was Wayman Crow Distinguished Professor of Physics at Washington University in St. Louis
St. Louis, Missouri

St. Louis is an independent city in the U.S. state of Missouri, located near the confluence of the Mississippi River and the Missouri River. St....
. He wrote extensively on statistical mechanics
Statistical mechanics

Statistical mechanics is the application of probability theory, which includes Mathematics tools for dealing with large populations, to the field of mechanics, which is concerned with the motion of particles or objects when subjected to a force....
 and on foundations of probability
Probability

Probability, or wikt:chance, is a way of expressing knowledge or belief that an Event will occur or has occurred. In mathematics the concept has been given an exact meaning in probability theory, that is used extensively in such areas of study as mathematics, statistics, finance, gambling, science, and philosophy to draw conclusions about t...
 and statistical inference
Statistical inference

Inferential statistics or statistical induction comprises the use of statistics to make inferences concerning some unknown aspect of a population....
, initiating in 1957 the MaxEnt interpretation
Maximum entropy thermodynamics

In physics, maximum entropy thermodynamics views equilibrium thermodynamics and statistical mechanics as Inference#Inference and uncertainty processes....
 of thermodynamics, as being a particular application of more general Bayesian
Bayesian inference

Bayesian inference is statistical inference in which evidence or observations are used to update or to newly infer the probability that a hypothesis may be true....
/information theory
Information theory

Information theory is a branch of applied mathematics and electrical engineering involving the quantification of information. Historically, information theory was developed by Claude E....
 techniques (although he argued this was already implicit in the works of Gibbs
Josiah Willard Gibbs

Josiah Willard Gibbs was an American theoretical physicist, chemist, and mathematician. One of the greatest American scientists of all time, he devised much of the theoretical foundation for chemical thermodynamics as well as physical chemistry....
). He was one of the first to interpret probability theory
Probability theory

Probability theory is the branch of mathematics concerned with analysis of Statistical randomness phenomena. The central objects of probability theory are random variables, stochastic processes, and event s: mathematical abstractions of determinism events or measured quantities that may either be single occurrences or evolve over time in an a...
 as an extension of Aristotelian logic
Logic

Logic is the study of the principles of valid demonstration and inference. Logic is a branch of philosophy, a part of the classical Trivium . The word derives from Greek language ?????? , fem....
.

In 1963, together with Fred Cummings
Fred Cummings

Fred Cummings is a theoretical physics at University of California, Riverside faculty. He specialises in cavity quantum electrodynamics, many-body theory and non-linear dynamics....
, he modelized the evolution of a two-level atom
Two-level system

In quantum mechanics, a two-state system is a system which has two possible states. More formally, the Hilbert space of a two state system has two degrees of freedom , so a complete basis spanning the space must consist of two independent states....
 in an electromagnetic field, in a fully quantized way.






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Encyclopedia


Edwin Thompson Jaynes (Waterloo, Iowa
Waterloo, Iowa

Waterloo is a city in and the county seat of Black Hawk County, Iowa, Iowa, United States. As of the 2000 United States Census, the city had a total population of 68,747....
, July 5, 1922 – St. Louis, Missouri
St. Louis, Missouri

St. Louis is an independent city in the U.S. state of Missouri, located near the confluence of the Mississippi River and the Missouri River. St....
, April 30, 1998) was Wayman Crow Distinguished Professor of Physics at Washington University in St. Louis
St. Louis, Missouri

St. Louis is an independent city in the U.S. state of Missouri, located near the confluence of the Mississippi River and the Missouri River. St....
. He wrote extensively on statistical mechanics
Statistical mechanics

Statistical mechanics is the application of probability theory, which includes Mathematics tools for dealing with large populations, to the field of mechanics, which is concerned with the motion of particles or objects when subjected to a force....
 and on foundations of probability
Probability

Probability, or wikt:chance, is a way of expressing knowledge or belief that an Event will occur or has occurred. In mathematics the concept has been given an exact meaning in probability theory, that is used extensively in such areas of study as mathematics, statistics, finance, gambling, science, and philosophy to draw conclusions about t...
 and statistical inference
Statistical inference

Inferential statistics or statistical induction comprises the use of statistics to make inferences concerning some unknown aspect of a population....
, initiating in 1957 the MaxEnt interpretation
Maximum entropy thermodynamics

In physics, maximum entropy thermodynamics views equilibrium thermodynamics and statistical mechanics as Inference#Inference and uncertainty processes....
 of thermodynamics, as being a particular application of more general Bayesian
Bayesian inference

Bayesian inference is statistical inference in which evidence or observations are used to update or to newly infer the probability that a hypothesis may be true....
/information theory
Information theory

Information theory is a branch of applied mathematics and electrical engineering involving the quantification of information. Historically, information theory was developed by Claude E....
 techniques (although he argued this was already implicit in the works of Gibbs
Josiah Willard Gibbs

Josiah Willard Gibbs was an American theoretical physicist, chemist, and mathematician. One of the greatest American scientists of all time, he devised much of the theoretical foundation for chemical thermodynamics as well as physical chemistry....
). He was one of the first to interpret probability theory
Probability theory

Probability theory is the branch of mathematics concerned with analysis of Statistical randomness phenomena. The central objects of probability theory are random variables, stochastic processes, and event s: mathematical abstractions of determinism events or measured quantities that may either be single occurrences or evolve over time in an a...
 as an extension of Aristotelian logic
Logic

Logic is the study of the principles of valid demonstration and inference. Logic is a branch of philosophy, a part of the classical Trivium . The word derives from Greek language ?????? , fem....
.

In 1963, together with Fred Cummings
Fred Cummings

Fred Cummings is a theoretical physics at University of California, Riverside faculty. He specialises in cavity quantum electrodynamics, many-body theory and non-linear dynamics....
, he modelized the evolution of a two-level atom
Two-level system

In quantum mechanics, a two-state system is a system which has two possible states. More formally, the Hilbert space of a two state system has two degrees of freedom , so a complete basis spanning the space must consist of two independent states....
 in an electromagnetic field, in a fully quantized way. This model is known as the Jaynes-Cummings model
Jaynes-Cummings model

The Jaynes-Cummings model is a theoretical model in quantum optics. It describes the system of a Two-level system interacting with a quantized mode of an optical cavity, with or without the presence of light....
.

A particular focus of his work was the construction of logical principles for assigning prior probability distributions; see the principle of maximum entropy
Principle of maximum entropy

The principle of maximum entropy is a postulate about a universal feature of any probability assignment on a given set of propositions . Let some testable information about a probability distribution function be given....
, the principle of transformation groups and Laplace
Pierre-Simon Laplace

Pierre-Simon, marquis de Laplace was a France mathematician and astronomer whose work was pivotal to the development of astronomy and statistics....
's principle of indifference
Principle of indifference

The principle of indifference is a rule for assigning epistemic probability.Suppose that there are n > 1 mutually exclusive and collectively exhaustive possibilities....
.

His last book, Probability Theory: The Logic of Science gathers various threads of modern thinking about Bayesian probability
Bayesian probability

Bayesian probability interprets the concept of probability as 'a measure of a state of knowledge' , and not as a frequentist . Broadly speaking, there are two views on Bayesian probability that interpret the 'state of knowledge' concept in different ways....
 and statistical inference
Statistical inference

Inferential statistics or statistical induction comprises the use of statistics to make inferences concerning some unknown aspect of a population....
, and contrasts the advantages of Bayesian techniques with the results of other approaches. It was published posthumously in 2003 by Cambridge University Press
Cambridge University Press

Cambridge University Press is a printer and publisher granted a Royal Letters Patent by Henry VIII of England in 1534. It is the world's oldest continually operating book publisher....
 from an incomplete manuscript by editor Larry Bretthorst.

External links

  • Edwin Thompson Jaynes. Cambridge University Press, (2003). ISBN 0-521-59271-2.
  • (fragmentary) of Probability Theory: The Logic of Science.
  • A comprehensive on E. T. Jaynes's life and work.