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Norbert Wiener

Norbert Wiener is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Norbert Wiener rather than just read about it. In short: Norbert Wiener (November 26, 1894 – March 18, 1964) was an American computer scientist, mathematician, and philosopher. He became a professor of mathematics at the Massachusetts Institute of Technology (MIT).

Norbert Wiener — main illustration
Norbert Wiener — illustration

Key takeaways

  • Norbert Wiener belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Norbert Wiener to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Norbert Wiener from memory before moving on to harder problems.

Reference excerpt

Norbert Wiener (November 26, 1894 – March 18, 1964) was an American computer scientist, mathematician, and philosopher. He became a professor of mathematics at the Massachusetts Institute of Technology (MIT). A child prodigy, Wiener later became an early researcher in stochastic and mathematical noise processes, contributing work relevant to electronic engineering, electronic communication, and control systems. Wiener is considered the originator of cybernetics, the science of communication as it relates to living things and machines, with implications for engineering, systems control, computer science, biology, neuroscience, philosophy, and the organization of society. His work heavily influenced computer pioneer John von Neumann, information theorist Claude Shannon, anthropologists Margaret Mead and Gregory Bateson, and others. Wiener is credited as being one of the first to theorize that all intelligent behavior was the result of feedback mechanisms that could possibly be simulated by machines, an important early step towards the development of modern artificial intelligence.

Biography

Family and Youth Wiener was born in Columbia, Missouri, the first child of Leo Wiener and Bertha Kahn, Jewish immigrants from Lithuania and Germany, respectively. Through his father, he was related to Maimonides, the famous 12th century rabbi, philosopher and physician from al-Andalus, as well as to Akiva Eger, chief rabbi of Posen from 1815 to 1837. He met his paternal grandfather —Solomon Wiener, whom he describes as a scholarly journalist incapable of keeping the family together—only once in New York. Despite this, he was impressed by his grandfather's efforts to replace Yiddish in his lived environment with German. Solomon was born in Krotoschin, but married his wife—who came from a family of Jewish tanners—before settling in Byelostok where Wiener's father was born in 1862. Wiener was told they had originally been minor nobles in Russia, such that when the Russian Tzar came to visit Byelostok it was his grandmother's house which was selected as a place of temporary residence. His paternal grandmother's side of the family was very different to his grandfather's side, and Wiener suggests that his father developed "solid, business-like habits that gave my father a firm footing in life", which made him a better custodian of the family than his grandfather. Nonetheless, his father still displayed an idealist streak. By the age of thirteen and because of their family situation—and because according to Wiener there is a tendency within the Jewish community to give adolescent boys the responsibilities of men—his father Leo had begun to support his family as a private tutor. Due to the German bias of his grandfather, Wiener's father went to a Lutheran school and learnt several languages. His father later left the Minsk Gymnasium for Warsaw in Poland, where Wiener claims his father developed good relations with his Polish schoolmates—so much so that his father became privy to the underground Polish resistance movement. His father became a contemporary of Zamenhof, the inventor of Esperanto, to which Wiener claims: "my father was one of the first to study the new artificial language". His father later went to the University of Warsaw to study medicine, although could not handle the profession so went to study at the Polytechnicum in Berlin to study engineering. Relatives in Berlin with connections to Mendelssohn bank tried to get his father to pursue a career in banking, but his father declined. Instead, his father had begun to develop a Tolstoyan ethic which was reinforced through his attendance of a humanitarian student meeting, which would eventually led to him emigrating to the United States, as well as Wiener's vegetarianism. Wiener, however, expressed resentment over his father's dogmatism over this later point during his childhood, which in his view led to emotional abuse from his father.

… excerpt ends here. Continue reading the full article.

Illustrations

Norbert Wiener illustration
Norbert Wiener: Wiener was regarded as a semi-legendary figure at MIT.
Wiener was regarded as a semi-legendary figure at MIT.
Norbert Wiener: Norbert (standing) and Margaret Wiener (sitting) at the International Congress of Mathematicians, Zurich, 1932
Norbert (standing) and Margaret Wiener (sitting) at the International Congress of Mathematicians, Zurich, 1932
Norbert Wiener: In the mathematical field of probability, the "Wiener sausage" is a neighborhood of the trace of a Brownian motion up to a time  t,  given by taking all points within a fixed distance of Brownian motion. It can be visualized as a cylinder of fixed radius the centerline of which is Brownian motion.
In the mathematical field of probability, the "Wiener sausage" is a neighborhood of the trace of a Brownian motion up to a time t, given by taking all points within a fixed distance of Brownian motion. It can be visualized as a cylinder of fixed radius the centerline of which is Brownian motion.
Norbert Wiener: Wiener in MIT, 1963
Wiener in MIT, 1963

Worked examples

Example 1 — a first encounter with Norbert Wiener

Start with the simplest possible case. Write down what Norbert Wiener claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Norbert Wiener before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Norbert Wiener ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Norbert Wiener

In research
Norbert Wiener appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Norbert Wiener in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Norbert Wiener is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1894 births, 1964 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Norbert Wiener outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Norbert Wiener in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Norbert Wiener means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Norbert Wiener out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Norbert Wiener in simple terms?

Norbert Wiener (November 26, 1894 – March 18, 1964) was an American computer scientist, mathematician, and philosopher. He became a professor of mathematics at the Massachusetts Institute of Technology (MIT).

Why does Norbert Wiener matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Norbert Wiener?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Norbert Wiener.

Tags

  • 1894 births
  • 1964 deaths
  • 20th-century American mathematicians
  • 20th-century American non-fiction writers
  • 20th-century American philosophers
  • 20th-century American scientists
  • American agnostics
  • American control theorists
  • American pacifists
  • American people of German-Jewish descent
  • American people of Polish-Jewish descent
  • American philosophers of technology

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