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John Forbes Nash Jr. - Quiz
Contributed by: Daly
  • 1. What form did Nash's mental illness first manifest as?
A) Memory loss
B) Hallucinations
C) Paranoia
D) Depression
  • 2. What group did Nash believe men wearing red ties belonged to?
A) A government intelligence agency
B) A crypto-communist party
C) A local political party
D) A secret society of mathematicians
  • 3. What title did Nash sign on letters to embassies?
A) Emperor of Antarctica
B) Ambassador of Reason
C) King of the Mathematicians
D) Grand Duke of Princeton
  • 4. In what year did Nash deliver an incoherent lecture at Columbia University?
A) 1970
B) 1961
C) 1955
D) 1959
  • 5. What hypothesis did Nash intend to present at his 1959 Columbia University lecture?
A) Fermat's Last Theorem
B) Riemann hypothesis
C) Nash equilibrium
D) Poincaré conjecture
  • 6. Where was Nash admitted in April 1959?
A) New Jersey State Hospital
B) McLean Hospital
C) Princeton Medical Center
D) Columbia Psychiatric Institute
  • 7. Which diagnosis was Nash given based on his delusions and hallucinations?
A) Obsessive-compulsive disorder
B) Clinical depression
C) Schizophrenia
D) Bipolar disorder
  • 8. What type of therapy did Nash receive in psychiatric hospitals besides medication?
A) Electroconvulsive therapy
B) Cognitive behavioral therapy
C) Insulin shock therapy
D) Hydrotherapy
  • 9. According to Nash, why was the film 'A Beautiful Mind' inaccurate regarding his medication?
A) It showed him taking illegal substances
B) It portrayed him as refusing all medical help
C) It implied he was never medicated
D) It implied he was taking atypical antipsychotics
  • 10. What was the final year Nash reportedly took any psychiatric medication?
A) 1995
B) 1970
C) 1964
D) 1961
  • 11. Who encouraged Nash to live at home during his recovery?
A) His doctor at McLean Hospital
B) His parents
C) Alicia Lardé
D) His colleagues at Princeton
  • 12. To what did Alicia Lardé credit Nash's recovery?
A) Moving to a new city
B) Rigorous academic work
C) Maintaining a quiet life with social support
D) Strict adherence to antipsychotic medication
  • 13. What name did Nash use to refer to himself in the third person during his psychotic phase?
A) Johann von Nassau
B) The Emperor
C) John of Antarctica
D) The Messenger
  • 14. When did Nash report that he started hearing voices?
A) 1959
B) 1964
C) 1994
D) 1970
  • 15. What phrase did Nash use to describe the period of his involuntary commitment?
A) Scientific recovery
B) Dream-like state
C) Enforced rationality
D) The lost years
  • 16. Which mathematical concept is credited to Nash as the 'Nash blowing-up transformation'?
A) A solution to the Riemann hypothesis
B) A proof of the implicit function theorem
C) A theory on fluid dynamics
D) A transformation idea suggested by Prof. Heisuke Hironaka
  • 17. Why did Nash say he intellectually rejected his delusionally influenced thinking?
A) He viewed it as a hopeless waste of intellectual effort
B) His doctors forced him to reject it
C) His wife threatened to leave him
D) He wanted to win a Nobel Prize
  • 18. What did Nash believe about his potential in 1995?
A) He felt he had accomplished everything he set out to do
B) He believed his illness helped him achieve more
C) He believed his medication prevented his success
D) He did not realize his full potential due to nearly 30 years of illness
  • 19. According to the text, what happened to Nash's behavior after he returned to delusional thinking in the late 1960s?
A) He stopped speaking entirely
B) He was immediately re-hospitalized
C) He became violent and erratic
D) He became of relatively moderate behavior
  • 20. In what year did Nash announce his theorem in real algebraic geometry at the International Congress of Mathematicians?
A) 1951
B) 1950
C) 1953
D) 1949
  • 21. What are the names of the concepts introduced by Nash in his real algebraic geometry work?
A) Nash function and Nash manifold
B) Nash surface and Nash curve
C) Nash space and Nash field
D) Nash polynomial and Nash set
  • 22. Who applied Nash's theorem in real algebraic geometry to the study of dynamical systems?
A) Michael Artin and Barry Mazur
B) Jürgen Moser and Mikhael Gromov
C) Nicolaas Kuiper and Warren Ambrose
D) Camillo De Lellis and László Székelyhidi
  • 23. Which mathematician informed Nash about the conjecture regarding Riemannian manifolds and Euclidean submanifolds?
A) Michael Artin
B) Jürgen Moser
C) Warren Ambrose
D) Mikhael Gromov
  • 24. In what year did Nash find his first embedding theorem?
A) 1950
B) 1970
C) 1949
D) 1953
  • 25. Whose improved result regarding smaller codimensions is often called the Nash–Kuiper theorem?
A) Stefan Müller
B) Eduard Zehnder
C) László Székelyhidi
D) Nicolaas Kuiper
  • 26. The ideas behind Nash's proof of the first embedding theorem were later applied to construct turbulent solutions of what?
A) Euler equations
B) Schrödinger equations
C) Navier-Stokes equations
D) Maxwell equations
  • 27. What framework did Mikhael Gromov develop in the 1970s based on Nash's ideas?
A) Convex integration
B) Riemannian analysis
C) Differential topology
D) Algebraic manifold theory
  • 28. What award was given to Nash in 1999 for his work on the second embedding theorem?
A) Fields Medal
B) Abel Prize
C) Leroy P. Steele Prize
D) Nobel Memorial Prize
  • 29. What is the fundamental aspect of the proof of Nash's second embedding theorem?
A) An implicit function theorem for isometric embeddings
B) A study of algebraic polynomials
C) A new method for solving Euler equations
D) A classification of Riemannian manifolds
  • 30. What is the resulting implicit function theorem from Jürgen Moser's extension of Nash's ideas called?
A) Nash–Ambrose theorem
B) Nash–Moser theorem
C) Gromov–Nash theorem
D) Steele–Nash theorem
  • 31. Who described Nash's ideas as 'not just novel, but very mysterious'?
A) Jürgen Moser
B) Jacob Schwartz
C) Mikhael Gromov
D) Lars Hörmander
  • 32. According to the text, how long did Nash work on the construction of smoothly differentiable isometric embeddings?
A) Six months
B) A decade
C) Around a year and a half
D) Three years
  • 33. Who was Nash's doctoral advisor?
A) John von Neumann
B) Ennio de Giorgi
C) Albert W. Tucker
D) David Hilbert
  • 34. How many pages long was Nash's PhD dissertation?
A) 50
B) 28
C) 100
D) 20
  • 35. What field did Nash turn to as a postdoctoral fellow at MIT?
A) Differential geometry
B) Game theory
C) Algebraic geometry
D) Cryptography
  • 36. Which of Hilbert's problems did the De Giorgi–Nash theorem help resolve?
A) Seventeenth
B) Eighteenth
C) Nineteenth
D) Twentieth
  • 37. In what year was Nash a recipient of the Nobel Memorial Prize in Economic Sciences?
A) 2011
B) 1951
C) 1994
D) 1950
  • 38. Nash made foundational contributions to which field as a graduate student at Princeton?
A) Modern physics
B) Statistics
C) Real algebraic geometry
D) Quantum mechanics
  • 39. What is the primary subject of Nash's 1950 dissertation?
A) Differential geometry
B) Encryption systems
C) Hilbert's nineteenth problem
D) Noncooperative games
  • 40. Concepts of modern cryptography anticipated by Nash are based on what?
A) Geometric probability
B) Algebraic topology
C) Prime number theory
D) Computational hardness
  • 41. What was the birth date of John Forbes Nash Jr.?
A) June 13, 1930
B) June 13, 1928
C) May 23, 1928
D) June 13, 1932
  • 42. Which of these fields did John Nash make contributions to?
A) Quantum physics
B) Game theory
C) Organic chemistry
D) Microbiology
  • 43. Where did Nash attend graduate school?
A) Princeton University
B) Carnegie Institute of Technology
C) University of Chicago
D) Harvard University
  • 44. What is the name of the biographical book about Nash written by Sylvia Nasar?
A) Riemannian Geometry
B) The Nash Equilibrium
C) Mathematical Genius
D) A Beautiful Mind
  • 45. Where was John Nash born?
A) Princeton, New Jersey
B) Bluefield, West Virginia
C) Cambridge, Massachusetts
D) Pittsburgh, Pennsylvania
  • 46. What was Nash's initial major at the Carnegie Institute of Technology?
A) Mathematics
B) Physics
C) Chemical engineering
D) Electrical engineering
  • 47. Who directed the 2001 film 'A Beautiful Mind'?
A) Ron Howard
B) Sylvia Nasar
C) John Nash
D) Russell Crowe
  • 48. Which actor portrayed John Nash in the 2001 film?
A) Russell Crowe
B) John Harsanyi
C) Louis Nirenberg
D) Richard Duffin
  • 49. Who suggested that Nash switch his major to mathematics?
A) Richard Duffin
B) John Lighton Synge
C) John Forbes Nash Sr.
D) Solomon Lefschetz
  • 50. What was the name of the fellowship offered to Nash by Solomon Lefschetz?
A) Steele Research Fellowship
B) Princeton Graduate Fellowship
C) George Westinghouse Scholarship
D) John S. Kennedy fellowship
  • 51. Which institution was Nash visiting when he learned of the conjecture regarding elliptic partial differential equations?
A) Courant Institute
B) Harvard University
C) MIT
D) Princeton University
  • 52. Who informed Nash of the conjecture in elliptic partial differential equations?
A) Louis Nirenberg
B) Charles Morrey
C) Paul Garabedian
D) Elias Stein
  • 53. In what year did Charles Morrey prove the fundamental elliptic regularity result for functions of two variables?
A) 1958
B) 1938
C) 1948
D) 1928
  • 54. Besides Louis Nirenberg, who did Nash have extensive discussions with regarding the conjecture?
A) Ennio De Giorgi
B) Peter Lax
C) Lars Hörmander
D) Jürgen Moser
  • 55. To which type of partial differential equations did Nash extend Morrey's results?
A) Non-linear
B) Hyperbolic
C) Parabolic
D) Linear
  • 56. To whom did Nash attribute the proof of the Nash inequality?
A) Louis Nirenberg
B) Ennio De Giorgi
C) Elias Stein
D) Charles Morrey
  • 57. Who told Nash that Ennio De Giorgi had found nearly identical results for elliptic partial differential equations?
A) Paul Garabedian
B) Lars Hörmander
C) Jürgen Moser
D) Eugene Fabes
  • 58. Who described Nash's work as a "stroke of genius"?
A) Jürgen Moser
B) Peter Lax
C) Eugene Fabes
D) Louis Nirenberg
  • 59. Hilbert's nineteenth problem is concerned with what property of minimizers in the calculus of variations?
A) Smoothness
B) Convergence
C) Uniqueness
D) Existence
  • 60. Which medal did Nash speculate he might have received in 1958?
A) Abel Prize
B) Fields Medal
C) Wolf Prize
D) Nobel Prize
  • 61. According to archival research, what place did Nash take in the committee's vote for the 1958 Fields Medal?
A) First
B) Fourth
C) Third
D) Second
  • 62. How many scientific papers did John Nash publish between 1945 and 1996?
A) 23
B) 12
C) 34
D) 19
  • 63. What term did Nash use to describe being 'insane' or not fitting into a usual social function?
A) Economic shift
B) Monetary deviation
C) On strike
D) Rational disconnect
  • 64. Which economist's views on money and monetary authority did Nash's thinking parallel?
A) John Harsanyi
B) John von Neumann
C) Reinhard Selten
D) Friedrich Hayek
  • 65. What did Nash propose as an alternative to 'bad money'?
A) Standardized Gold
B) Equilibrium Currency
C) Ideal Money
D) Centralized Credit
  • 66. In what year was John Nash awarded the Abel Prize?
A) 2011
B) 2015
C) 2006
D) 2012
  • 67. Nash was elected to which society in 2006?
A) American Mathematical Society
B) Nobel Committee
C) National Academy of Sciences
D) American Philosophical Society
  • 68. In what year did Nash become a fellow of the American Mathematical Society?
A) 1999
B) 2015
C) 2006
D) 2012
  • 69. Nash criticized which economic theory that allowed central banks to implement monetary policies?
A) Classical liberalism
B) Keynesian ideas
C) Game theory
D) Monetarist theory
  • 70. The 'Ideal Money' proposed by Nash was to be pegged to what?
A) A basket of foreign currencies
B) Global GDP
C) Gold standard
D) Industrial consumption price index
  • 71. Where was the 2015 Abel Prize ceremony held?
A) Princeton
B) Warwick
C) Stockholm
D) Oslo
  • 72. In what field did Nash receive an honorary doctorate from the University of Antwerp in 2007?
A) Economics
B) Philosophy
C) Mathematics
D) Science
  • 73. At which event was Nash a keynote speaker in 2005?
A) Warwick Economics Summit
B) Abel Prize ceremony
C) American Philosophical Society meeting
D) Nobel Memorial Prize banquet
  • 74. What position did MIT hire John Nash for in 1951?
A) Dean of mathematics
B) C. L. E. Moore instructor
C) Professor of physics
D) Research assistant
  • 75. What was the profession of Eleanor Stier?
A) Mathematics student
B) Teacher
C) Physicist
D) Nurse
  • 76. In what year was Nash arrested in Santa Monica?
A) 1957
B) 1954
C) 1951
D) 1963
  • 77. What was Alicia Lardé's major at MIT?
A) Mathematics
B) Nursing
C) Physics
D) Philosophy
  • 78. In what year did Nash and Alicia Lardé marry?
A) 1957
B) 1959
C) 1954
D) 1970
  • 79. In what year did Nash and Lardé divorce?
A) 1959
B) 1970
C) 2001
D) 1963
  • 80. What role did Nash have at Lardé's house after his 1970 hospital discharge?
A) Guest
B) Boarder
C) Legal guardian
D) Landlord
  • 81. In what year did Nash and Lardé remarry?
A) 1990
B) 2010
C) 1995
D) 2001
  • 82. How did John Nash and his wife die?
A) Plane crash
B) Illness
C) Heart failure
D) Car crash
  • 83. Where did the car accident take place?
A) New York Thruway
B) New Jersey Turnpike
C) California Highway 1
D) Massachusetts Route 128
  • 84. Who wrote the 1983 novel The Mind-Body Problem that references John Nash?
A) Ron Howard
B) Harold W. Kuhn
C) Rebecca Goldstein
D) Sylvia Nasar
  • 85. Who wrote the biography A Beautiful Mind published in 1998?
A) Sylvia Nasar
B) Rebecca Goldstein
C) John Nash
D) Ron Howard
  • 86. Which actress played Alicia Nash in the 2001 film A Beautiful Mind?
A) Jennifer Connelly
B) Sylvia Nasar
C) Rebecca Goldstein
D) Marika Griehsel
  • 87. What award did the film A Beautiful Mind win for Best Picture?
A) BAFTA Award
B) Abel Prize
C) Golden Globe
D) Academy Award
  • 88. Which award did Russell Crowe win for playing John Nash at the 59th Golden Globe Awards?
A) Best Actor – Motion Picture Drama
B) Best Supporting Actor
C) Best Director
D) Best Screenplay
  • 89. With whom did John Nash share the 1978 INFORMS John von Neumann Theory Prize?
A) Reinhard Selten
B) John Harsanyi
C) Louis Nirenberg
D) Carlton Lemke
  • 90. For what subject area did John Nash win the 1994 Nobel Memorial Prize?
A) Chemistry
B) Mathematics
C) Economic Sciences
D) Physics
  • 91. How many game-theoretic papers by Nash are included in the collection 'The essential John Nash'?
A) Seven
B) Three
C) Four
D) Five
  • 92. Who served as the host of the 2002 60 Minutes segment on John Nash?
A) Martin Raussen
B) Riz Khan
C) Marika Griehsel
D) Mike Wallace
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