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Walter Harry Pitts, Jr. (23 April 1923 – 14 May 1969) was a
logician Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the science of deductively valid inferences or of logical truths. It is a formal science investigating how conclusions follow from premises ...
who worked in the field of
computational neuroscience Computational neuroscience (also known as theoretical neuroscience or mathematical neuroscience) is a branch of neuroscience which employs mathematical models, computer simulations, theoretical analysis and abstractions of the brain to u ...
.Smalheiser, Neil R
"Walter Pitts"
, ''Perspectives in Biology and Medicine'', Volume 43, Number 2, Winter 2000, pp. 217–226, The Johns Hopkins University Press
He proposed landmark theoretical formulations of neural activity and generative processes that influenced diverse fields such as cognitive sciences and
psychology Psychology is the science, scientific study of mind and behavior. Psychology includes the study of consciousness, conscious and Unconscious mind, unconscious phenomena, including feelings and thoughts. It is an academic discipline of immens ...
,
philosophy Philosophy (from , ) is the systematized study of general and fundamental questions, such as those about existence, reason, knowledge, values, mind, and language. Such questions are often posed as problems to be studied or resolved. ...
,
neuroscience Neuroscience is the science, scientific study of the nervous system (the brain, spinal cord, and peripheral nervous system), its functions and disorders. It is a Multidisciplinary approach, multidisciplinary science that combines physiology, an ...
s,
computer science Computer science is the study of computation, automation, and information. Computer science spans theoretical disciplines (such as algorithms, theory of computation, information theory, and automation) to Applied science, practical discipli ...
,
artificial neural network Artificial neural networks (ANNs), usually simply called neural networks (NNs) or neural nets, are computing systems inspired by the biological neural networks that constitute animal brains. An ANN is based on a collection of connected unit ...
s,
cybernetic Cybernetics is a wide-ranging field concerned with circular causality, such as feedback, in regulatory and purposive systems. Cybernetics is named after an example of circular causal feedback, that of steering a ship, where the helmsperson ma ...
s and
artificial intelligence Artificial intelligence (AI) is intelligence—perceiving, synthesizing, and inferring information—demonstrated by machines, as opposed to intelligence displayed by animals and humans. Example tasks in which this is done include speech ...
, together with what has come to be known as the generative sciences. He is best remembered for having written along with Warren McCulloch, a seminal paper in scientific history, titled "A Logical Calculus of Ideas Immanent in Nervous Activity" (1943). This paper proposed the first mathematical model of a
neural network A neural network is a network or circuit of biological neurons, or, in a modern sense, an artificial neural network, composed of artificial neurons or nodes. Thus, a neural network is either a biological neural network, made up of biological ...
. The unit of this model, a simple formalized neuron, is still the standard of reference in the field of neural networks. It is often called a McCulloch–Pitts neuron. Prior to that paper, he formalized his ideas regarding the fundamental steps to building a
Turing machine A Turing machine is a mathematical model of computation describing an abstract machine that manipulates symbols on a strip of tape according to a table of rules. Despite the model's simplicity, it is capable of implementing any computer alg ...
in "The Bulletin of Mathematical Biophysics" in an essay titled "Some observations on the simple neuron circuit".


Early life

Walter Pitts was born in
Detroit Detroit ( , ; , ) is the largest city in the U.S. state of Michigan. It is also the largest U.S. city on the United States–Canada border, and the seat of government of Wayne County. The City of Detroit had a population of 639,111 at t ...
,
Michigan Michigan () is a state in the Great Lakes region of the upper Midwestern United States. With a population of nearly 10.12 million and an area of nearly , Michigan is the 10th-largest state by population, the 11th-largest by area, and t ...
on April 23, 1923, the son of Walter and Marie (née Welsia). He was an
autodidact Autodidacticism (also autodidactism) or self-education (also self-learning and self-teaching) is education without the guidance of masters (such as teachers and professors) or institutions (such as schools). Generally, autodidacts are individu ...
who taught himself
logic Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the science of deductively valid inferences or of logical truths. It is a formal science investigating how conclusions follow from prem ...
and
mathematics Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...
and was able to read several languages including
Greek Greek may refer to: Greece Anything of, from, or related to Greece, a country in Southern Europe: *Greeks, an ethnic group. *Greek language, a branch of the Indo-European language family. **Proto-Greek language, the assumed last common ancestor ...
and
Latin Latin (, or , ) is a classical language belonging to the Italic languages, Italic branch of the Indo-European languages. Latin was originally a dialect spoken in the lower Tiber area (then known as Latium) around present-day Rome, but through ...
. His father and brothers were rough, uneducated, and regarded Walter as a freak. He is widely remembered for having spent three days in a library, at the age of 12, reading ''
Principia Mathematica The ''Principia Mathematica'' (often abbreviated ''PM'') is a three-volume work on the foundations of mathematics written by mathematician–philosophers Alfred North Whitehead and Bertrand Russell and published in 1910, 1912, and 1913. ...
'' and sent a letter to
Bertrand Russell Bertrand Arthur William Russell, 3rd Earl Russell, (18 May 1872 – 2 February 1970) was a British mathematician, philosopher, logician, and public intellectual. He had a considerable influence on mathematics, logic, set theory, linguistics, a ...
pointing out what he considered serious problems with the first half of the first volume. Russell was appreciative and invited him to study at
Cambridge University , mottoeng = Literal: From here, light and sacred draughts. Non literal: From this place, we gain enlightenment and precious knowledge. , established = , other_name = The Chancellor, Masters and Schola ...
at age 12. The offer was not taken up; however, Pitts did decide to become a logician. At age 15 he ran away from home, and from that time he refused to speak of his family.


Academic career

Pitts probably continued to correspond with Bertrand Russell; and at the age of 15 he attended Russell's lectures at the
University of Chicago The University of Chicago (UChicago, Chicago, U of C, or UChi) is a private research university in Chicago, Illinois. Its main campus is located in Chicago's Hyde Park neighborhood. The University of Chicago is consistently ranked among the b ...
.Cf. Anderson (1998
p.218
conversation with Michael A. Arbib
He stayed there, without registering as a student. While there, in 1938 he met Jerome Lettvin, a
pre-medical Pre-medical (often referred to as pre-med) is an educational track that undergraduate students in the United States pursue prior to becoming medical students. It involves activities that prepare a student for medical school, such as pre-med course ...
student, and the two became close friends.Cf. Conway, Flo; Siegelman, Jim (2005)
p.138
/ref> Russell was a visiting professor at the University of Chicago in the fall of 1938, and he directed Pitts to study with the logician
Rudolf Carnap Rudolf Carnap (; ; 18 May 1891 – 14 September 1970) was a German-language philosopher who was active in Europe before 1935 and in the United States thereafter. He was a major member of the Vienna Circle and an advocate of logical positivism. ...
. Pitts met Carnap at Chicago by walking into his office during office hours, and presenting him with an annotated version of Carnap's recent book on logic, ''The Logical Syntax of Language''. Since Pitts did not introduce himself, Carnap spent months searching for him, and, when he found him, he obtained for him a menial job at the university and had Pitts study with him. Pitts at the time was homeless and without income. He mastered Carnap's abstract logic, then met with and was intrigued by the work of the Russian mathematical physicist Nicolas Rashevsky, who was also at Chicago and was the founder of mathematical biophysics, remodeling biology on the structure of the physical sciences and
mathematical logic Mathematical logic is the study of formal logic within mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory. Research in mathematical logic commonly addresses the mathematical properties of forma ...
.Cf. Conway, Flo; Siegelman, Jim (2005)
p.139
/ref> Pitts also worked closely with the mathematician
Alston Scott Householder Alston Scott Householder (5 May 1904 – 4 July 1993) was an American mathematician who specialized in mathematical biology and numerical analysis. He is the inventor of the Householder transformation and of Householder's method. Career Ho ...
, who was a member of Rashevsky's group. During his studies under Carnap, Pitts was also a regular attendant at Nicolas Rashevsky’s seminars in theoretical biology, which included Frank Offner, Herbert Landahl, Alston Householder, and the neuroanatomist Gerhardt von Bonin from the
University of Illinois at Chicago The University of Illinois Chicago (UIC) is a public research university in Chicago, Illinois. Its campus is in the Near West Side community area, adjacent to the Chicago Loop. The second campus established under the University of Illinois ...
. In 1940, Von Bonin introduced Lettvin to Warren McCulloch, who would become a professor of psychiatry at Illinois. In 1941 Warren McCulloch took a position as professor of psychiatry at the
University of Illinois at Chicago The University of Illinois Chicago (UIC) is a public research university in Chicago, Illinois. Its campus is in the Near West Side community area, adjacent to the Chicago Loop. The second campus established under the University of Illinois ...
, and in early 1942 he invited Pitts, who was still homeless, together with Lettvin to live with his family. In the evenings, McCulloch and Pitts collaborated. Pitts was familiar with the work of
Gottfried Leibniz Gottfried Wilhelm (von) Leibniz . ( – 14 November 1716) was a German polymath active as a mathematician, philosopher, scientist and diplomat. He is one of the most prominent figures in both the history of philosophy and the history of mathem ...
on computing and they considered the question of whether the nervous system could be considered a kind of universal computing device as described by Leibniz. This led to their seminal
neural network A neural network is a network or circuit of biological neurons, or, in a modern sense, an artificial neural network, composed of artificial neurons or nodes. Thus, a neural network is either a biological neural network, made up of biological ...
s paper "A Logical Calculus of Ideas Immanent in Nervous Activity". After five years of unofficial studies, the University of Chicago awarded Pitts an
Associate of Arts An associate degree is an undergraduate degree awarded after a course of post-secondary study lasting two to three years. It is a level of qualification above a high school diploma, GED, or matriculation, and below a bachelor's degree. The fi ...
(his only earned degree) for his work on the paper. In 1943, Lettvin introduced Pitts to
Norbert Wiener Norbert Wiener (November 26, 1894 – March 18, 1964) was an American mathematician and philosopher. He was a professor of mathematics at the Massachusetts Institute of Technology (MIT). A child prodigy, Wiener later became an early researcher ...
at the
Massachusetts Institute of Technology The Massachusetts Institute of Technology (MIT) is a private land-grant research university in Cambridge, Massachusetts. Established in 1861, MIT has played a key role in the development of modern technology and science, and is one of th ...
. Their first meeting, where they discussed Wiener's proof of the ergodic theorem, went so well that Pitts moved to
Greater Boston Greater Boston is the metropolitan region of New England encompassing the municipality of Boston (the capital of the U.S. state of Massachusetts and the most populous city in New England) and its surrounding areas. The region forms the northern a ...
to work with Wiener. While Pitts was an unofficial student under the aegis of Wiener at MIT until their acrimonious parting in 1952, he formally enrolled as a graduate student in the
physics Physics is the natural science that studies matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge which ...
department during the 1943-1944 academic year and in the
electrical engineering Electrical engineering is an engineering discipline concerned with the study, design, and application of equipment, devices, and systems which use electricity, electronics, and electromagnetism. It emerged as an identifiable occupation in the l ...
-computer science department from 1956-1958. In 1944, Pitts was hired by Kellex Corporation (later acquired in 1950 by
Vitro Corporation Vitro Corporation was a major United States defense contractor which became part of BAE Systems Inc. in 1999. History Vitro was incorporated in 1950 as the Vitro Manufacturing Company. Its main product was slide transparencies for overhead proje ...
) in New York City, part of the Atomic Energy Project. From 1946, Pitts was a core member and involved with the Macy conferences, whose principal purpose was to set the foundations for a general science of the workings of the human mind.


Personal life, emotional trauma and decline

In 1951, Wiener convinced
Jerome Wiesner Jerome Bert Wiesner (May 30, 1915 – October 21, 1994) was a professor of electrical engineering, chosen by President John F. Kennedy as chairman of his Science Advisory Committee (PSAC). Educated at the University of Michigan, Wiesner was asso ...
to hire some physiologists of the nervous system. A group was established with Pitts, Lettvin, McCulloch, and
Pat Wall Charles Patrick Wall (6 May 1933 – 6 August 1990) was an English Trotskyist political activist who was the Labour Party (UK), Labour Party Member of Parliament (United Kingdom), Member of Parliament (MP) for Bradford North (UK Parliament ...
. Pitts wrote a large dissertation on the properties of neural nets connected in three dimensions. Lettvin described him as "in no uncertain sense the genius of the group … when you asked him a question, you would get back a whole textbook." Pitts never married. Pitts was also described as an eccentric, refusing to allow his name to be made publicly available. He continued to refuse all offers of advanced degrees or positions of authority at MIT, in part as he would have to sign his name. In 1952, Wiener suddenly turned against McCulloch—his wife, Margaret Wiener, hated McCulloch—and broke off relations with anyone connected to him, including Pitts. Although he remained employed as a
research associate Research associates are researchers (scholars and professionals) that usually have an advanced degree beyond a Master's degree. In some universities/research institutes, such as Harvard/ Harvard Medical School/Harvard School of Public Health, t ...
in the Research Laboratory of Electronics at MIT "as little more than a technicality" for the rest of his life, Pitts became increasingly socially isolated. In 1959, the paradigmatic "What the Frog’s Eye Tells the Frog’s Brain" (credited to
Humberto Maturana Humberto Maturana Romesín (September 14, 1928 – May 6, 2021) was a Chilean biologist and philosopher. Many consider him a member of a group of second-order cybernetics theoreticians such as Heinz von Foerster, Gordon Pask, Herbert Brün a ...
, Lettvin, McCulloch and Pitts) conclusively demonstrated that "analog processes in the eye were doing at least part of the interpretive work" in image processing as opposed to "the brain computing information digital neuron by digital neuron using the exacting implement of mathematical logic", leading Pitts to burn his unpublished doctoral dissertation on probabilistic three-dimensional neural networks and years of unpublished research. He took little further interest in work, excepting only a collaboration with Lettvin and Robert Gesteland which produced a paper on
olfaction The sense of smell, or olfaction, is the special sense through which smells (or odors) are perceived. The sense of smell has many functions, including detecting desirable foods, hazards, and pheromones, and plays a role in taste. In humans, ...
in 1965. Pitts died in 1969 of bleeding
esophageal varices Esophageal varices are extremely dilated sub-mucosal veins in the lower third of the esophagus. They are most often a consequence of portal hypertension, commonly due to cirrhosis. People with esophageal varices have a strong tendency to develop s ...
, a condition usually associated with
cirrhosis Cirrhosis, also known as liver cirrhosis or hepatic cirrhosis, and end-stage liver disease, is the impaired liver function caused by the formation of scar tissue known as fibrosis due to damage caused by liver disease. Damage causes tissue rep ...
and
alcoholism Alcoholism is, broadly, any drinking of alcohol that results in significant mental or physical health problems. Because there is disagreement on the definition of the word ''alcoholism'', it is not a recognized diagnostic entity. Predomi ...
.


Publications

* Walter Pitts
"Some observations on the simple neuron circuit"
''
Bulletin of Mathematical Biology The Society for Mathematical Biology (SMB) is an international association co-founded in 1972 in the United States by George Karreman, Herbert Daniel Landahl and (initially chaired) by Anthony Bartholomay for the furtherance of joint scientific ac ...
'', Volume 4, Number 3, 121–129, 1942. * Warren McCulloch and Walter Pitts, "A Logical Calculus of Ideas Immanent in Nervous Activity", 1943, '' Bulletin of Mathematical Biophysics'' 5:115–133. Reprinted in ''Neurocomputing: Foundations of Research''. Edited by James A. Anderson and Edward Rosenfeld. MIT Press, 1988
pages 15–27
* Warren McCulloch and Walter Pitts, "On how we know universals: The perception of auditory and visual forms", 1947, ''Bulletin of Mathematical Biophysics'' 9:127–147. * R. Howland, Jerome Lettvin, Warren McCulloch, Walter Pitts, and P. D. Wall, "Reflex inhibition by dorsal root interaction", 1955, ''Journal of Neurophysiology'' 18:1–17. * P. D. Wall, Warren McCulloch, Jerome Lettvin and Walter Pitts, "Effects of strychnine with special reference to spinal afferent fibres", 1955, ''Epilepsia Series'' 3, 4:29–40. * Jerome Lettvin,
Humberto Maturana Humberto Maturana Romesín (September 14, 1928 – May 6, 2021) was a Chilean biologist and philosopher. Many consider him a member of a group of second-order cybernetics theoreticians such as Heinz von Foerster, Gordon Pask, Herbert Brün a ...
, Warren McCulloch, and Walter Pitts, "What the Frog's Eye Tells the Frog's Brain", 1959, ''Proceedings of the Institute of Radio Engineers'' 47: 1940–1951. * Humberto Maturana, Jerome Lettvin, Warren McCulloch, and Walter Pitts, "Anatomy and physiology of vision in the frog", 1960, ''Journal of General Physiology'', 43:129—175. * Robert Gesteland, Jerome Lettvin and Walter Pitts, "Chemical Transmission in the Nose of the Frog", 1965, ''J.Physiol''. 181, 525–529.


References


Further reading

* Aizawa, Kenneth, "Connectionism and artificial intelligence: history and philosophical interpretation", ''
Journal of Experimental and Theoretical Artificial Intelligence The ''Journal of Experimental and Theoretical Artificial Intelligence'' is a quarterly peer-reviewed scientific journal published by Taylor and Francis. It covers all aspects of artificial intelligence and was established in 1989. The editor-in-chi ...
'', Volume 4, Issue 4, 1992, pages 295–313 * Aizawa, Kenneth; Schlatter, Mark
"Walter Pitts and 'A Logical Calculus'"
''Synthese'' (2008) 162:235–250. * Aizawa, Kenneth; Schlatter, Mark
"Another Look at McCulloch and Pitts's 'Logical Calculus'"
Centenary College of Louisiana Centenary College of Louisiana is a private liberal arts college in Shreveport, Louisiana. The college is affiliated with the United Methodist Church. Founded in 1825, it is the oldest chartered liberal arts college west of the Mississippi R ...
,
Shreveport, Louisiana Shreveport ( ) is a city in the U.S. state of Louisiana. It is the third most populous city in Louisiana after New Orleans and Baton Rouge, respectively. The Shreveport–Bossier City metropolitan area, with a population of 393,406 in 2020, is ...
* Anderson, James A.; Rosenfeld, Edward (editors)
''Talking Nets: An Oral History of Neural Networks''
1998. The interview with Jerome Lettvin discusses Walter Pitts. * Conway, Flo; Siegelman, Jim
''Dark hero of the information age: in search of Norbert Wiener, the father of Cybernetics''
Basic Books, 2005. Cf
p.138
& various. * Easterling, Keller
"Walter Pitts"
''
Cabinet Cabinet or The Cabinet may refer to: Furniture * Cabinetry, a box-shaped piece of furniture with doors and/or drawers * Display cabinet, a piece of furniture with one or more transparent glass sheets or transparent polycarbonate sheets * Filin ...
'', Issue 5 Winter 2001/02 * Piccinini, Gualtiero
"The First Computational Theory of Mind and Brain: A Close Look at McCulloch and Pitts's 'Logical Calculus of Ideas Immanent in Nervous Activity'"
''Synthese'' 141: 175–215, 2004.
Kluwer Academic Publishers Springer Science+Business Media, commonly known as Springer, is a German multinational publishing company of books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing. Originally founded in 1842 in ...
A. Gefter 2016, “The Man Who Tried to Redeem the World with Logic.” The Best American Science and Nature Writing


External links


"Walter Pitts"
website of Professor Charles Wallis, Department of Cognitive Science, California State University at Long Beach, accessed 30 Jan. 2009 (archived 2009)
"The Man who Tried to Redeem the World with Logic"
''Nautilus Magazine'' issue 21, 5 February 2015 {{DEFAULTSORT:Pitts, Walter 1923 births 1969 deaths American logicians 20th-century American psychologists American cognitive neuroscientists History of artificial intelligence Philosophers from Michigan