Nationality United States Alma mater Princeton University | Doctoral advisor Alonzo Church Name J. Rosser | |
Born December 6, 1907
Jacksonville, Florida ( 1907-12-06 ) Died September 5, 1989(1989-09-05) (aged 81)
Madison, Wisconsin Fields Mathematical logic
Number theory Doctoral students Charlotte (Stark) Chell
George Collins
Theodore Hailperin
Walter Joel Harrington
Elliott Mendelson
Stephen Orey
George William Petznick, Jr.
Gerald Sacks
David Edward Schroer | ||
Dr j barkley rosser voices of scholarship james madison university
John Barkley Rosser Sr. (December 6, 1907 – September 5, 1989) was an American logician, a student of Alonzo Church, and known for his part in the Church–Rosser theorem, in lambda calculus. He also developed what is now called the "Rosser sieve", in number theory. He was later director of the Army Mathematics Research Center at the University of Wisconsin–Madison. Rosser also authored mathematical textbooks.
Contents
- Dr j barkley rosser voices of scholarship james madison university
- Summer institute for the history of economic thought j barkley rosser
- Selected publications
- References
In 1936, he proved Rosser's trick, a stronger version of Gödel's first incompleteness theorem, showing that the requirement for ω-consistency may be weakened to consistency. Rather than using the liar paradox sentence equivalent to "I am not provable," he used a sentence that stated "For every proof of me, there is a shorter proof of my negation".
In prime number theory, he proved Rosser's theorem.
The Kleene–Rosser paradox showed that the original lambda calculus was inconsistent.
Rosser died of an aneurysm September 5, 1989, at his home in Madison, Wisconsin.
Rosser's son, John Barkley Rosser, Jr., is a mathematical economist and professor at James Madison University in Harrisonburg, Virginia.