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Degrees and Employment History

• Ph.D. in Mathematics at The Massachusetts Institute of Technology
  1967.
• Stanford University
  (Assistant Professor of Philosophy)
  1967-1969
• Stanford University
  (Associate Professor of Philosophy with tenure)
  1969-1973
• University of Wisconsin at Madison
  (Associate Professor of Mathematics with tenure)
  1970-1971
• State University of New York at Buffalo
  (Visiting Professor of Mathematics)
  1972-1973
• State University of New York at Buffalo
  (Professor of Mathematics)
  1973-1977
• The Ohio State University
  (Professor of Mathematics)
  1977-
• Pennsylvania State University
  (Visiting Professor of Mathematics)
  3/81 - 6/81
• IBM, San Jose, California
  (Visiting Scientist)
  7/83 - 8/83
• Bell Labs, Murray Hill, New Jersey
  (Consultant)
  May 1984
  
• IBM, Yorktown Heights
  (Consultant)
  8/84 - 9/84
• The Ohio State University
  (Professor of Philosophy)
  1985-
• The Ohio State University
  (Professor of Computer and Information Science)
  1985-
• University of Minnesota
  (Visiting Ordway Professor of Mathematics)
  3/15 - 4/15/86
• The Ohio State University
  (Distinguished University Professor)
  1987-
• The Ohio State University
  (Professor of Music)
  1991-
• Princeton University
  (Visiting Professor of Philosophy)
  Fall Semester, 2002