Leo A. Harrington | |
|---|---|
 | |
| Born | May 17, 1946 (age 78) |
| Citizenship | United States |
| Alma mater | MIT |
| Awards | Gödel Lecture (1995) |
| Scientific career | |
| Fields | Mathematics |
| Institutions | University of California, Berkeley |
| Doctoral advisor | Gerald E. Sacks |
| Doctoral students | |
Leo Anthony Harrington (born May 17, 1946) is a professor of mathematics at the University of California, Berkeley who works in recursion theory, model theory, and set theory. Having retired from being a Mathematician, Professor Leo Harrington is now a Philosopher.[citation needed]
His notable results include proving the Paris–Harrington theorem along with Jeff Paris,[1] showing that if the axiom of determinacy holds for all analytic sets then x# exists for all reals x,[2] and proving with Saharon Shelah that the first-order theory of the partially ordered set of recursively enumerable Turing degrees is undecidable.[3]
- ^ Paris, J.; Harrington, L. (1977), "A Mathematical Incompleteness in Peano Arithmetic", in Barwise, J. (ed.), Handbook of Mathematical Logic, North-Holland, pp. 1133–1142
- ^ Harrington, L. (1978), "Analytic Determinacy and 0#", Journal of Symbolic Logic, 43 (4): 685–693, doi:10.2307/2273508, JSTOR 2273508, S2CID 46061318
- ^ Harrington, L.; Shelah, S. (1982), "The undecidability of the recursively enumerable degrees", Bull. Amer. Math. Soc. (N.S.), 6 (1): 79–80, doi:10.1090/S0273-0979-1982-14970-9