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