Jeff Paris (mathematician) explained

Jeff Paris
Birth Name:Jeffrey Bruce Paris
Birth Date:1944 11, df=y
Fields:Mathematical logic
Workplaces:University of Manchester
Alma Mater:University of Manchester
Thesis Title:Large Cardinals and the Generalized Continuum Hypothesis
Thesis Year:1969
Doctoral Advisor:Robin Gandy
Awards:Whitehead Prize (1983)
Children:6, including Jasmin

Jeffrey Bruce Paris (born 15 November 1944) is a British mathematician and Professor of Logic in the School of Mathematics at the University of Manchester.[1] [2] [3]

Education

Paris gained his doctorate supervised by Robin Gandy at Manchester in 1969 with a dissertation on Large Cardinals and the Generalized Continuum Hypothesis.

Research and career

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[4] 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

Paris was awarded the Whitehead Prize in 1983 and elected a Fellow of the British Academy (FBA) in 1999.[5]

Personal life

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.

Notes and References

  1. 10.1112/blms/14.4.285. Accessible Independence Results for Peano Arithmetic. Bulletin of the London Mathematical Society. 14. 4. 285. 1982. Kirby . L.. Paris . J.. 10.1.1.107.3303.
  2. Paris J.B.: The uncertain reasoner's companion: a mathematical perspective, Cambridge Tracts in Theoretical Computer Science 39, Cambridge University Press, 1994,
  3. Book: 10.1016/S0049-237X(08)72003-2. Σn-Collection Schemas in Arithmetic. Logic Colloquium '77. 96. 199. Studies in Logic and the Foundations of Mathematics. 1978. Paris . J. B. . Kirby . L. A. S. . 9780444851789.
  4. Book: Paris . Jeff. Harrington. Leo. Leo Harrington. Barwise . Jon . Keisler . H. Jerome . Handbook of Mathematical Logic . A mathematical incompleteness in Peano Arithmetic. North-Holland . Amsterdam; New York . 1977 . 978-0-7204-2285-6 . 1133–1142.
  5. Web site: Elections to Ordinary Fellowship . May 17, 2007 . dead . https://web.archive.org/web/20071023121311/http://www.britac.ac.uk/pubs/review/01-9899/05-fellowship.html . October 23, 2007 .