Background
Shore, Richard Arnold was born on August 18, 1946 in Boston, Massachusetts, United States. Son of Philip M. and Miriam Shore.
mathematician philosopher university professor
Shore, Richard Arnold was born on August 18, 1946 in Boston, Massachusetts, United States. Son of Philip M. and Miriam Shore.
B. Jewish Education, Hebrew College, 1966; Bachelor of Arts, Harvard University, 1968; Doctor of Philosophy, Massachusetts Institute of Technology, 1972.
He is particularly known for his work on, the partial order of the Turing degrees. Shore settled the Rogers Homogeneity Conjecture by showing that there are Turing degrees and such that and, the structures of the degrees above and respectively, are not isomorphic. In joint work with Theodore Slaman, Shore showed that the Turing jump is definable in.
He was in 1983 an invited speaker at the International Congress of Mathematicians in Warsaw and gave a talk The Degrees of Unsolvability: the Ordering of Functions by Relative Computability.
In 2009 he was the Gödel Lecturer (Reverse mathematics: the playground of logic). He was an editor from 1984 to 1993 of the Journal of Symbolic Logic and from 1993 to 2000 of the Bulletin of Symbolic Logic.
In 2012 he became a fellow of the American Mathematical Society.
Vice president for education Hillel Academy Broome County, Binghamton, New York, 1985-1989. Treasurer Beth David Synagogue, 1993-1996. President Jewish Federation of Broome County, 1998-2000.
Board directors Project Euclid, since 2002. Member American Mathematics Society, Special Interest Group in Algorithms and Computation Theory, Association for Computing Machinery, Association for Symbolic Logic (council since 1984, president 2001-2004., public since 2008).
Married Naomi J. Spiller, August 3, 1969. Children— Deena A., Aviva R.