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Jon Barwise

Jon Barwise 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 Jon Barwise rather than just read about it. In short: Kenneth Jon Barwise (; June 29, 1942 – March 5, 2000) was an American mathematician, philosopher and logician who proposed some fundamental revisions to the way that logic is understood and used. Education and career He was born in Independence, Missouri, to Kenneth T. and Evelyn Barwise.

Key takeaways

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

Reference excerpt

Kenneth Jon Barwise (; June 29, 1942 – March 5, 2000) was an American mathematician, philosopher and logician who proposed some fundamental revisions to the way that logic is understood and used.

Education and career He was born in Independence, Missouri, to Kenneth T. and Evelyn Barwise. A student of Solomon Feferman at Stanford University, Barwise began his research working in infinitary logic. After positions at Yale University and the University of Wisconsin, during which time his interests turned to natural language, he returned to Stanford in 1983 to direct the Center for the Study of Language and Information (CSLI). He began teaching at Indiana University in 1990. He was elected a Fellow of the American Academy of Arts and Sciences in 1999. In his final year, Barwise was invited to give the 2000 Gödel Lecture; he died prior to the lecture.

Philosophical and logical work Barwise contended that, by being explicit about the context in which a proposition is made, the situation, many problems in the application of logic can be eliminated. He sought ... to understand meaning and inference within a general theory of information, one that takes us outside the realm of sentences and relations between sentences of any language, natural or formal. In particular, he claimed that such an approach resolved the liar paradox. He made use of Peter Aczel's non-well-founded set theory in understanding "vicious circles" of reasoning. Barwise, along with his former colleague at Stanford John Etchemendy, was the author of the popular logic textbook Language, Proof and Logic. The text is notable for including computer-aided homework problems, some of which provide visual representations of logical problems. During his time at Stanford, he was also the first Director of the Symbolic Systems Program, an interdepartmental degree program focusing on the relationships between cognition, language, logic, and computation. The K. Jon Barwise Award for Distinguished Contributions to the Symbolic Systems Program has been given periodically since 2001.

Selected publications Barwise, K. J. (1975) Admissible Sets and Structures. An Approach to Definability Theory ISBN 0-387-07451-1 Barwise, K. J. & Perry, John (1983) Situations and Attitudes. Cambridge: MIT Press. ISBN 1-57586-193-3 Barwise, K. J. & Etchemendy, J. (1987) The Liar: An Essay in Truth and Circularity ISBN 0-19-505944-1 Barwise, K. J. (1988) The Situation in Logic ISBN 0-937073-32-6 Barwise, K. J. & Moss, L. (1996) Vicious Circles. On the Mathematics of Non-Wellfounded Phenomena ISBN 1-57586-008-2 Barwise, K, J. & Seligman, J. (1997) Information Flow: the Logic of Distributed Systems ISBN 0-521-58386-1 Barwise, K. J. & Etchemendy, J. (2002) Language, Proof and Logic ISBN 1-57586-374-X Barwise, K. J. Editor (1977) Handbook of Mathematical Logic. xi+1165 pages ISBN 0-7204-2285-X Barwise, J. & Feferman, S. Editors (1985) Model-Theoretic Logics. x+893 pages ISBN 0-387-90936-2

See also Barwise Prize Barwise compactness theorem Slingshot argument

References

External links In Memoriam: Kenneth Jon Barwise by Solomon Feferman The Bulletin of Symbolic Logic vol. 6(4) Dec. 2000, pp505–8 (PostScript) K. Jon (Kenneth) Barwise at the Mathematics Genealogy Project

Worked examples

Example 1 — a first encounter with Jon Barwise

Start with the simplest possible case. Write down what Jon Barwise 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 Jon Barwise 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 Jon Barwise 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 Jon Barwise

In research
Jon Barwise 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 Jon Barwise 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
Jon Barwise is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1942 births, 2000 deaths, 20th-century American essayists, so understanding it makes those chapters shorter.
In everyday life
Look for Jon Barwise 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 Jon Barwise in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Jon Barwise 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 Jon Barwise out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Jon Barwise in simple terms?

Kenneth Jon Barwise (; June 29, 1942 – March 5, 2000) was an American mathematician, philosopher and logician who proposed some fundamental revisions to the way that logic is understood and used. Education and career He was born in Independence, Missouri, to Kenneth T. and Evelyn Barwise.

Why does Jon Barwise 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 Jon Barwise?

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 Jon Barwise.

Tags

  • 1942 births
  • 2000 deaths
  • 20th-century American essayists
  • 20th-century American male writers
  • 20th-century American mathematicians
  • 20th-century American philosophers
  • American male essayists
  • American philosophers of logic
  • American philosophers of mathematics
  • American philosophy academics
  • Deaths from colorectal cancer in the United States
  • Fellows of the American Academy of Arts and Sciences

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