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Leo Harrington

From Wikipedia, the free encyclopedia
Leo A. Harrington
BornMay 17, 1946 (1946-05-17) (age 78)
CitizenshipUnited States
Alma materMIT
AwardsGödel Lecture (1995)
Scientific career
FieldsMathematics
InstitutionsUniversity of California, Berkeley
Doctoral advisorGerald 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]

References

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  1. ^ Paris, J.; Harrington, L. (1977), "A Mathematical Incompleteness in Peano Arithmetic", in Barwise, J. (ed.), Handbook of Mathematical Logic, North-Holland, pp. 1133–1142
  2. ^ Harrington, L. (1978), "Analytic Determinacy and 0#", Journal of Symbolic Logic, 43 (4): 685–693, doi:10.2307/2273508, JSTOR 2273508, S2CID 46061318
  3. ^ 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
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