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