The Philosopher
Jeff Paris
The face
The background
- Nationality:
- British
- Schools:
- Peano arithmetic
- Branchs:
- Mathematical logic, Provability logic, Inductive logic, Ramsey theory, Large cardinals, Generalized Continuum Hypothesis
- Period:
- 20th-21st century
The synopsis
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. Paris gained his doctorate supervised by Robin Gandy at Manchester in 1969 with a dissertation on Large Cardinals and the Generalized Continuum Hypothesis. 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 is a natural Ramsey-theoretic statement that is expressible in Peano arithmetic, but is not provable within this system, an illustration of Gödel's first incompleteness theorem. Paris was awarded the Whitehead Prize in 1983 and elected a Fellow of the British Academy (FBA) in 1999. 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.
The works
The uncertain reasoner's companion: a mathematical perspective
Accessible Independence Results for Peano Arithmetic
Σn-Collection Schemas in Arithmetic
A mathematical incompleteness in Peano Arithmetic