Steve Simpson (mathematician)

Stephen G. Simpson
Steve Simpson at Oberwolfach, 2008
Alma materMIT
Known forReverse mathematics
Scientific career
FieldsMathematics
InstitutionsPennsylvania State University Vanderbilt University
Thesis Admissible Ordinals and Recursion Theory
Doctoral advisorGerald Sacks
Doctoral students

Stephen George Simpson (born September 8, 1945) is an American mathematician whose research concerns the foundations of mathematics, including work in mathematical logic, recursion theory, and Ramsey theory. He is known for his extensive development of the field of reverse mathematics founded by Harvey Friedman, in which the goal is to determine which axioms are needed to prove certain mathematical theorems.[1] He has also argued for the benefits of finitistic mathematical systems, such as primitive recursive arithmetic, which do not include actual infinity.[2]

A conference in honor of Simpson's 70th birthday was organized in May 2016.[3]

  1. ^ Elwes, Richard (2013), Math in 100 key breakthroughs (PDF), Quercus, New York, p. 397, ISBN 978-1-62365-054-4, MR 3222699.
  2. ^ Wolchover, Natalie (December 6, 2013), "Dispute over infinity divides mathematicians" (PDF), Scientific American.
  3. ^ The Foundational Impact of Recursion Theory: In honor of Steve Simpson's 70th birthday, May 22, 2016, retrieved 2016-05-06.