# Jon Barwise

**Kenneth Jon Barwise** (/ˈbɑːrwaɪz/; June 29, 1942 – March 5, 2000)^{[1]} was an American mathematician, philosopher and logician who proposed some fundamental revisions to the way that logic is understood and used.

## Biography

Born in Independence, Missouri to Kenneth T. and Evelyn Barwise, Jon was a precocious child.

A pupil of Solomon Feferman at Stanford University, Barwise started his research in infinitary logic. After positions as assistant professor at the Universities of Yale and 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. He began teaching at Indiana University in 1990. He was elected a Fellow of the American Academy of Arts and Sciences in 1999.^{[2]}

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*. Unlike the *Handbook of Mathematical Logic* which was a survey of the state of the art of Mathematical logic c. 1975, and of which he was the editor, this work targeted elementary 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.^{[3]}

## Works

- 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^{[4]} - Barwise, K. J. & Etchemendy, J. (1987)
*The Liar: An Essay in Truth and Circularity*ISBN 0-19-505944-1^{[5]} - 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^{[6]} - 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

## See also

- Barwise prize
- Barwise compactness theorem
- Slingshot argument

## References

- ↑ Walsh, Eileen (8 March 2000). "Noted logician K. Jon Barwise dies".
*Stanford News Service*. - ↑ "Book of Members, 1780-2010: Chapter B" (PDF). American Academy of Arts and Sciences. Retrieved May 20, 2011.
- ↑ K. Jon Barwise Award, Symbolic Systerms Program, Stanford University
- ↑ Butterfield, Jerry (April 1986). "Review of
*Situations and Attitudes*by Jon Barwise and John Perry".*The Philosophical Quarterly*.**36**(143): 292–296. doi:10.2307/2219775. JSTOR 2219775. - ↑ Moss, Lawrence S. (1989). "Review of
*The Liar: An essay in truth and circularity*by Jon Barwise and John Etchemendy" (PDF).*Bull. Amer. Math. Soc. (N.S.)*.**20**(2): 216–225. doi:10.1090/S0273-0979-1989-15770-4. - ↑ Rutten, J. J. M. M. (1998). "Review of
*Vicious circles: On the mathematics of non-wellfounded phenomena*by Jon Barwise and Larry Moss" (PDF).*Bull. Amer. Math. Soc. (N.S.)*.**35**(1): 69–75. doi:10.1090/s0273-0979-98-00735-6.

## 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