A Beautiful Mind Part 37

2. Ibid.

3. Gillian Richardson, interview, 12.14.95.

4. John Coleman Moore, professor of mathematics, Princeton University, interview, 10.6.95.

5. George Whitehead, interview, 12.12.95.

6. Interviews with Moore, also with Gaby Borel, 10.94 and 3.14.96.

7. Herb Gurk, RCA, interview, 4.23.96.

8. Alicia Nash, private communication, 12.6.97.

9. Martha Nash Legg, interview, 3.30.96; confirmed by Alicia Nash in private communication.

10. Interview with Moore, and with G. Borel, 10.6.95.

11. A. Nash, private communication, and interview, 12.28.95.

12. A. Nash, interview, 12.28.95.

13. Ibid., 1.10.95.

14. Ibid.

15. Odette Larde, interview, 12.8.95.

16. Moore, interview, 10.94.

17. Richard Keefe, interview, 5.95.

18. Richard S. E. Keefe and Phillip D. Harvey, Understanding Schizophrenia, Understanding Schizophrenia, op. cit., p. 9. op. cit., p. 9.

19. A. Nash, interview, 1.10.95.

20. A. Nash, private communication, 12.6.97.

21. Joyce Davis, interview, 5.30.96.

22. Anna Bailey, interview, 5.29.97.

23. A. Nash, interview, 1.10.95. In addition, interviews with John Charles Martin Nash, Harold Kuhn, Gaby Borel, and others.

24. David Salowitz, "It's Not a Matter of Degrees: John Nash, Shv High School or College Degree, Seeks Ph.D.," The Princeton Packet, The Princeton Packet, 7.1.81. 7.1.81.

25. A. Nash, interview, 1.10.95.

26. Amir a.s.sadi, interview, 2.4.96.

27. Solomon Leader, interview.

28. A. Nash, interview, 5.16.95.

29. Salowitz, op. cit.

30. Ibid.

31. A. Nash, interview, 5.16.95. Also letter from John Nash to Richard Keefe, 1.14.95.

32. Salowitz, op. cit.

33. Bailey, interview.

34. A. Nash, interview, 5.16.95.

35. Armand Borel, interview, 3.1.96.

36. Moore, interview, 10.5.94.

37. G. Borel, interview, 10.94.

38. John David Stier, interview, 9.20.97.

39. Letter from Alicia Nash to Arthur Mattuck, 11.27.71.

40. J. D. Stier, interview.

41. Norton Starr, professor of mathematics, Amherst College, interviews, 7.95 and 1.20.98.

42. Eleanor Stier, interview, 3.18.96.

43. John Stier, interview, 1.21.98.

44. Letter from John Nash to Arthur Mattuck, 1.1 5.73.

45. E. Stier, interview, 3.18.96.

46. Irving I. Gottesman, professor of psychology, University of Virginia, interview, 1.16.98.

47. Kenneth L. Fields, professor of mathematics. Rider University (formerly Rider College), interview, 1.30.98.

48. Melvvn B. Nathanson, professor of mathematics, Graduate Center of the City University of New York, interview, 1.31.98.

49. John C. M. Nash (with Melvvn B. Nathanson), "Cofinite Subsets of Asymptotic Bases for the Positive Integers," Journal of Number Theory, Journal of Number Theory, vol. 20, no. 3 (1985), pp. 36372; John C. M. Nash, "Results in Bases in Additive Number Theory," Ph.D. thesis, Rutgers University, 1985. vol. 20, no. 3 (1985), pp. 36372; John C. M. Nash, "Results in Bases in Additive Number Theory," Ph.D. thesis, Rutgers University, 1985.

50. John C. M. Nash, "Some Applications of a Theorem of M. Kneser," Journal of Number Theory, Journal of Number Theory, vol. 44, no. 1 (1993), pp. 18. vol. 44, no. 1 (1993), pp. 18.

51. John C. M. Nash, "On B4 Sequences," Sequences," Canadian Mathematical Bulletin, Canadian Mathematical Bulletin, vol. 32, no. 4 (1989), pp. 44649. vol. 32, no. 4 (1989), pp. 44649.

52. Alicia Nash, interview, 9.97.

Part Five: THE MOST WORTHY

47: Remission

1. Peter Sarnak, professor of mathematics, Princeton University, interview, 8.25.95.

2. E-mail from John Nash to Harold Kuhn, 6.20.96.

3. Hale Trotter, interviews, 11.29.95 and 9.10.97.

4. Mark Dudey, professor of economics, Rice University, interviews, 10.94 and 6.24.95.

5. Daniel Feenberg, interview, 10.94.

6. Letter from Edward G. Nilges to author, 8.19.95.

7. Lloyd S. Shapley, interview, 10.94.

8. George Winokur and Ming T. Tsuang, The Natural History of Mania, Depression and Schizophrenia The Natural History of Mania, Depression and Schizophrenia (Was.h.i.+ngton, D.C.: American Psychiatric Press, 1996), p. 28. (Was.h.i.+ngton, D.C.: American Psychiatric Press, 1996), p. 28.

9. Letter from John Nash to Richard Keefe, 1.14.95. Nash gives Johnny's diagnosis as "paranoid schizophrenia" and "schizo-affective disorder."

10. See, for example, Irving I. Gottesman, Schizophrenia Genesis, Schizophrenia Genesis, op. cit., p. 18; Michael R. Trimble, op. cit., p. 18; Michael R. Trimble, Biographical Psychiatry Biographical Psychiatry (New York: John Wiley (New York: John Wiley & & Sons, 1996), pp. 18485. Sons, 1996), pp. 18485.

11. John Forbes Nash, Jr., Les Prix n.o.bel 1994, Les Prix n.o.bel 1994, op. cit. op. cit.

12. John Nash, plenary lecture, World Congress of Psychiatry, Madrid, 8.26.96, op. cit.

13. Harold Kuhn, interview, 9.95.

14. Letter from John Nash to Richard Keefe, 1.14.95. Nash has made the same point to many people.

15. Winokur and Tsuang, op. cit., p. 30; also Manfred Bleuler, The Schizophrenic Disorders: Long-Term Patient and Family Studies The Schizophrenic Disorders: Long-Term Patient and Family Studies (New Haven: Yale University Press, 1978). (New Haven: Yale University Press, 1978).

16. Gerd Huber, Gisela Gross, Reinhold Schuttler, and Maria Linz, "Longitudinal Studies of Schizophrenic Patients," Schizophrenia Bulletin, Schizophrenia Bulletin, vol, 6, no. 4 (1980). vol, 6, no. 4 (1980).

17. C. M. Harding, G. W. Brooks, T. As.h.i.+kaga, J. S. Strauss, and A. Brier, "The Vermont Longitudinal Study of Persons with Severe Mental Illness, I and II," American Journal of Psychiatry, American Journal of Psychiatry, vol. 144 (1987), pp. 71826, 72735. E. Johnstone, D. Owens, A. Gold et al., "Schizophrenic Patients Discharged from Hospital: A Follow-Up Study," vol. 144 (1987), pp. 71826, 72735. E. Johnstone, D. Owens, A. Gold et al., "Schizophrenic Patients Discharged from Hospital: A Follow-Up Study," British Journal of Psychiatry, British Journal of Psychiatry, no. 145 (1984), pp. 58690, found that 18 percent of the 120 in the study had no significant symptoms and were functioning satisfactorily; 50 percent were still psychotic; and the remainder were somewhere in between. Only two subjects, both of whom had been hospitalized only once, were considered no. 145 (1984), pp. 58690, found that 18 percent of the 120 in the study had no significant symptoms and were functioning satisfactorily; 50 percent were still psychotic; and the remainder were somewhere in between. Only two subjects, both of whom had been hospitalized only once, were considered truly truly well. well.

18. Richard Wyatt, head of neuropsychiatry, National Inst.i.tute of Mental Health, personal communication, 12.97. See also Winokur and Tsuang, op. cit., pp. 199217.

19. Winokur and Tsuang, op. cit., pp. 26768.

20. Huber et al., op. cit.

21. Richard Wyatt, interview, 5.5.96.

22. E. Fuller Torrey, Surviving Schizophrenia, Surviving Schizophrenia, op. cit. op. cit.

23. E-mail from J. Nash to H. Kuhn, 6.1.95.

24. John Forbes Nash, Jr., Les Prix n.o.bel 1994, Les Prix n.o.bel 1994, op. cit. op. cit.

25. Letter from J. Nash to R. Keefe.

26. John Forbes Nash, Jr., Les Prix n.o.bel 1994, Les Prix n.o.bel 1994, op. cit. op. cit.

27. Social Science Citation Index, various dates.

28. John Conway, professor of mathematics, Princeton University, interview, 10.94.

29. Nash's work on Riemannian embeddings and partial differential equations would likely have made him a strong candidate for a Fields in the 1960s and his contributions to game theory might easily have been honored with a n.o.bel as early as 1983, when Gerard Debreu won for his work on general equilibrium theory. He would certainly have garnered lesser honors such as members.h.i.+p in the National Academy of Sciences and the American Academy of Arts and Sciences.

30. Amartya Sen, professor of economics. Harvard University, interview, 12.92.

31. Fellows of the Econometric Society as of January 1988, Econometrica, Econometrica, vol. 56, n. 3 (May 1988). vol. 56, n. 3 (May 1988).

32. Ariel Rubinstein, professor of economics, University of Tel Aviv and Princeton University, interviews, 1.96 and 2.96.

33. Mervyn King, professor of economics, London School of Economics, and vice-chairman, Bank of England, interview, 2.28.96.

34. Letter from Julie Gordon, executive director, The Econometric Society, to author, 2.2.96.

35. King, interview.

36. Interviews with Gary Chamberlain, professor of economics, Harvard University, 2.28.96; Beth E. Allen, professor of economics, University of Minnesota, 2.26.96.

37. Letter from Truman Bewley, professor of economics, Yale University, to Ariel Rubinstein, undated (spring 1989).

38. Ibid., 6.4.89.

39. Truman Bewley, interview, 2.20.96.

40. John Dawson, Logical Dilemmas: The Life and Work of Kurt G.o.del, Logical Dilemmas: The Life and Work of Kurt G.o.del, op. cit. op. cit.

41. Ibid.

42. Ken Binmore, Roger Myerson, Ariel Rubinstein, "Nomination of Candidates as a Fellow," 1990.

43. Letter from J. Gordon to author, 1.31.96.

48: The Prize