Jeff Paris (mathematician)
Jeff Paris | |
|---|---|
.jpg) Paris in 1974 | |
| Born | Jeffrey Bruce Paris 15 November 1944[2] |
| Alma mater | University of Manchester |
| Known for | |
| Children | 6, including Jasmin |
| Awards | Whitehead Prize (1983) |
| Scientific career | |
| Fields | Mathematical logic |
| Institutions | University of Manchester |
| Thesis | Large Cardinals and the Generalized Continuum Hypothesis (1969) |
| Doctoral advisor | Robin Gandy[1] |
| Website | oldwww |
Jeffrey Bruce Paris FBA (born 15 November 1944) is a British mathematician and Professor of Logic in the School of Mathematics at the University of Manchester.[3][4][5][6]
Education
[edit]Paris gained his doctorate supervised by Robin Gandy at Manchester in 1969 with a dissertation on Large Cardinals and the Generalized Continuum Hypothesis.[1]
Research and career
[edit]Paris is known for his work on mathematical logic, in particular provability in arithmetic, uncertain reasoning and inductive logic with an emphasis on rationality and common sense principles.
The Paris-Harrington theorem[7] is a natural Ramsey-theoretic statement which is expressible in Peano arithmetic, but is not provable within this system, an illustration of Gödel's first incompleteness theorem.
Awards and honours
[edit]Paris was awarded the Whitehead Prize in 1983 and elected a Fellow of the British Academy (FBA) in 1999.[2][8]
Personal life
[edit]Paris was married to Malvyn Loraine Blackburn until 1983 when he married Alena Vencovská. He has three sons and three daughters including runner Jasmin Paris.[2]
References
[edit]- ^ a b Jeff Paris at the Mathematics Genealogy Project
- ^ a b c Anon (2007). "Paris, Prof. Jeffrey Bruce". Who's Who (online Oxford University Press ed.). Oxford: A & C Black. doi:10.1093/ww/9780199540884.013.U30030. (Subscription or UK public library membership required.)
- ^ Kirby, L.; Paris, J. (1982). "Accessible Independence Results for Peano Arithmetic" (PDF). Bulletin of the London Mathematical Society. 14 (4): 285. CiteSeerX 10.1.1.107.3303. doi:10.1112/blms/14.4.285.
- ^ Paris J.B.: The uncertain reasoner's companion: a mathematical perspective, Cambridge Tracts in Theoretical Computer Science 39, Cambridge University Press, 1994, ISBN 0-521-46089-1
- ^ Paris, J. B.; Kirby, L. A. S. (1978). "Σn-Collection Schemas in Arithmetic". Logic Colloquium '77. Studies in Logic and the Foundations of Mathematics. Vol. 96. p. 199. doi:10.1016/S0049-237X(08)72003-2. ISBN 9780444851789.
- ^ Jeff Paris publications indexed by the Scopus bibliographic database. (subscription required)
- ^ Paris, Jeff; Harrington, Leo (1977). "A mathematical incompleteness in Peano Arithmetic". In Barwise, Jon; Keisler, H. Jerome (eds.). Handbook of Mathematical Logic. Amsterdam; New York: North-Holland. pp. 1133–1142. ISBN 978-0-7204-2285-6.
- ^ "Elections to Ordinary Fellowship". Archived from the original on 23 October 2007. Retrieved 17 May 2007.
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