Norbert Wiener (1894--1964)
16 May 2024 14:46
Largely drafted in the late 1990s
A very carefully brought up young man. His father, Leo Wiener, was a professor of Slavic languages and literature at Harvard, who had pronounced and peculiar views on education, and put them into effect on young Norbert. (Wiener père also had a crackpot theory about the African discovery of American c. 1000 A.D., but that's another story.) The net effect of these practices was that Norbert got his Bachelor's at the age of 14, and his Ph.D. (from --- where else? --- Harvard, in mathematical philosophy) at the age of 18, at which point he headed to Europe to study at Göttingen and Cambridge (under Russell). After various peregrinations he settled at the math department of MIT, where he did lots of good work on algebra and measures, at last finding his true home in stochastic processes and their applications to time series and the foundations of statistical mechanics.
In his younger years, he was (by his own account) a barely-ambulatory bundle of neuroses, and insufferable; he improved with age, to the point of being merely vain and arrogant. In all fairness, he had a lot to be arrogant about: in addition to his mathematics, he was one of the founders of cybernetics, and the man who coined the word (from the Greek kubernetes, steersman, whence also "governor"). He defined it as "the science of control and communication in the animal and the machine," and thought it was basically about information theory and feedback, and how animals and machines manage to do things; and he warned, as explicitly as possible, against using it for handwaving fluff in social science or philosophy. (These warnings were, naturally, ignored; but that is also another story.) He realized, of course, that understanding that would lead to better automatic machinery, with profound but unpredictable consequences, and he wrote a lot to try and make people think about them. (They didn't, but that's yet another story.) He was less than entirely successful as a prophet --- for instance, automation has not yet resulted in mass unemployment --- but nobody is or was, and his heart at least was in the right place.
- See also:
- Control Theory
- Filtering and State Estimation
- Optimal Linear Prediction and Estimation
- Arturo Rosenblueth
- Time Series
- Recommended, big picture:
- Arturo Rosenblueth, NW and Julian Bigelow, "Behavior, Purpose and Teleology", Philosophy of Science 10 (1943): 18--24
- Stephen Toulmin, "The Importance of Norbert Wiener", New York Review of Books 24 September 1964
- NW
- The Human Use of Human Beings; Cybernetics and Society [His own math-free popularization of Cybernetics, and its implications for politics and society.]
- God and Golem, Inc.: A Comment on Certain Points Where Cybernetics Impinges on Religion
- Recommended, close-ups or more technical (very misc.):
- Peter Fishburn and Bernard Monjardet, "Norbert Wiener on the theory of measurement, 1914, 1915, 1921", Journal of Mathematical Psychology 36 (1992): 165--184 [Comments under Measurement]
- P. Masani, "Wiener's contributions to generalized harmonic analysis, prediction theory and filter theory", Bulletin of the American Mathematical Society 72 (1966): 73--125 [Part of a special issue in memory of Wiener, now all open access]
- Arturo Rosenblueth and NW
- "The Role of Models in Science", Philosophy of Science 12 (1945): 316--321 [Annotating this is proving to be an interesting project]
- "Purposeful and Non-Purposeful Behavior", Philosophy of Science 17 (1950): 318--326
- NW
- Cybernetics, or Control and Communication in the Animal and the Machine [You need good math to get all of it. What? You find this unreasonable? Read his introduction.]
- Ex-Prodigy and I Am a Mathematician [His two auto-biographical volumes, now (2018) re-published as A Life in Cybernetics]
- Extrapolation, Interpolation and Smoothing of Stationary Time Series [Read the appendices first.]
- Invention: The Care and Feeding of Ideas
- "A new theory of measurement: A study in the logic of mathematics", Proceedings of the London Mathematical Society 19 (1919): 181--205 [But really, read Fishburn and Monjardet instead]
- Nonlinear Problems in Random Theory [Statistics of transducers]
- "Nonlinear prediction and dynamics", Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability (1956), vol. 3, pp. 247--252
- Selected Papers [Gives a good feel for the range of his mathematical work]
- The Fourier Integral and Certain of Its Applications
- Recommended, secondary sources:
- Stephen J. Heims, John von Neumann and Norbert Wiener: From Mathematics to the Technologies of Life and Death
- Persi Masani, Norbert Wiener [Scientific biography]
- Modesty forbids me to recommend:
- The lectures on optimal linear prediction and filtering for my class on "Data over Space and Time" are an attempt to expound Wiener's theory of "extrapolation, interpolation and smoothing" to undergrads, including some of the historical background
- CRS, "Opening a Closed Box: Introduction to A. Rosenblueth and N. Wiener, `The Role of Models in Science' (1945)", pp. 149--169 in David Krakauer (ed.), Foundational Papers in Complexity Science, volume I (Santa Fe, New Mexico: Santa Fe Institute Press, 2024). My introduction to the paper --- if you want the annotated version of the paper itself, you'll need to get the book.
- Not recommended:
- NW
- The Tempter [His one attempt at a novel; scientist fiction, or rather engineer fiction. It's earnest, but really pretty bad.]
- To read:
- Flo Conway and Jim Siegelman, Dark Hero of the Information Age: In Search of Norbert Wiener, the Father of Cybernetics [Thanks to R. C. Williamson for the pointer]
- Umberto Eco The Open Work
- Peter Galison, "The Ontology of the Enemy: Norbert Wiener and the Cybernetic Vision", Critical Inquiry 21 (1994): 228--266
- David Jerison, I. M. Singer, Daniel W. Stroock (eds.), The Legacy of Norbert Wiener: a Centennial Symposium in Honor of the 100th anniversary of Norbert Wiener's birth
- Ronald R. Kline, The Cybernetics Moment [Review by David Auerbach]
- V. Mandrekar and P. Masani (eds.), Proceedings of the Norbert Wiener Centenary Congress, 1994
- Leone Montagnini, Harmonies of Disorder: Norbert Wiener: A Mathematician-Philosopher of Our Time [I am enjoying this so far, but I'm only 1/2 of the way through]
- NW
- Generalized Harmonic Analysis