A Beautiful Mind
Page 67
Foundations of Economic Theory (Samuelson), 86
Fox, Ralph, 64, 72, 75
Frankenstein or The Modern Prometheus (Shelley), 273
Fredga, Kerstin, 360, 370, 372
Freud, Sigmund, 59, 94
Freudian theory, 188, 250, 259–60, 351
Friedrichs, Kurt, 225, 226
Fuchs, Klaus, 110
Fuchsian functions, 93
Fuck Your Buddy, 102
Fukuda, Hiroshi, 75
Fulbright program, 236
Galbraith, John Kenneth, 116
Gale, David, 62, 64, 77, 78, 83, 100, 308–9
Nash equilibrium and, 95
Gallagher, Chicky, 193
Galmarino, Alberto, 240–41
games:
non-zero-sum, 87
two-person zero-sum, 14, 87, 95, 96, 115, 116, 119
“Games Against Nature” (Milnor), 149
Games and Decisions (Luce and Raiffa), 122
game theory, 56, 84–91, 101, 286
application of, 374–78
Econometric Society and, 354
MIT seminar on, 319
Nash’s course in, 240–41, 265
and Nash’s graduate studies, 65, 68, 77, 86–87, 90–91, 96, 100, 132
Nash’s introduction to, 45
in New Palgrave, 20
1961 conference on, 296–97
1964 conference on, 313
in Nobel deliberations, 357, 360–73
origins of, 13–14
RAND and, 104–5, 108, 111, 115–22, 149–51
Tucker and, 64–65, 77, 83, 90, 91, 100, 118, 119, 362
von Neumann’s role in, 13–14, 81, 83–87, 88, 90, 91, 92, 93–94, 95, 96–97, 98, 100, 111, 115, 116, 117–18, 119, 128, 149, 150, 362, 363
see also bargaining; min-max theorem; Nash equilibrium
Gangolli, Ramesh, 240–41
Garabedian, Paul, 219–20
Garber, Robert, 292, 293, 294, 305, 307, 310
Gårding, Lars, 219, 368
Garsia, Adriano, 237, 257, 258
Garson, Greer, 36
Gauss, Carl Friedrich, 35, 69, 128, 141, 230
Gauss’s proof of the fundamental theorem of algebra, 67
Gauthier, Jacqueline, 260, 261
General Electric, 27
general theory of relativity, 52, 70, 86, 231, 380
geniuses:
clusters of, 94
schizophrenia and, 19
geometry:
algebraic, 96
continuous, 81
differential, 203
and Nash’s graduate studies, 68
non-Euclidean, 231
see also Riemannian manifolds
Germany, East, 281
Germany, Nazi, 84, 115
Gibbon, Edward, 58
Gibbs, Willard, 51
Gide, Andre, 310–11
Gillespie, Charles, 337
Girschick, Abraham, 117
Glass, James, 278, 335
Gleason, Andrew, 146
Gleason, Jackie, 193
go, 75, 76, 100, 142, 326, 343
Gödel, Kurt, 50, 54, 59, 70, 84, 216, 236, 355
Goodwin, Ruth, 243–44
Goheen, Robert, 287, 310
Goldin, Claudia, 338
Goldman, Oscar, 252
Goldschmidt, Hubert, 298
Goldstine, Hermann, 82
Gonshor, Harry, 144, 343
Goodman, Leo, 210
Gordon, Julie, 355
Gore, Al, 374, 375
Gottesman, Irving I., 17, 188
Grant, Mrs. Austin, 172
Gromov, Mikhail, 12, 158, 318
Grothendieck, Alexandre, 279, 298, 311, 312, 334
Guggenheim Foundation, 236
Gunderson, John G., 16
Haber, Seymour, 146
Hahn, Otto, 56
Halmos, Paul, 12, 80, 155, 159
Hardwick, Elizabeth, 256, 259
Hardy, G. H., 61, 79, 130, 137, 228, 230
Harish-Chandra, 286
Harsanyi, John C., 98, 354, 362, 374
at 1961 conference, 297
Nobel deliberations on, 363, 364, 371, 373
Harvard University, 45, 46, 51, 55, 60, 134–135, 136, 137, 144, 146, 235
Haslam, John, 275
Hausner, Melvin, 63, 69, 73
Hayek, Friedrich von, 367
Heifetz, Jascha, 246
Heilbroner, Robert, 89
Hein, Piet, 76, 78
Heisenberg, Werner, 70, 221
Heisenberg’s uncertainty principle, 221
Henkin, Leon, 62, 64
Henry, Agnes, 126, 285
Herter, Christian A., 278, 279
Hex, 76, 78, 299
see also “Nash”
Hicks, John, 89, 108
Hilbert, David, 52, 53, 81, 157
Hilbert’s Fifth Problem, 81, 146
Hilbert spaces, 44
Hincks, Ruth, 147–48, 174
Hinman, George, 42, 44
Hironaka, Heisuke, 309, 333
Hiroshima bombing (1945), 195
Hitch, Charles, 122
Hitler, Adolf, 84
Hoffman, Abbie, 271
Hoffman, Alan, 339
Holder estimates, 219, 225
homology theory, 68, 69
homotopy chains, 69
Hopf, Heinz, 162, 225
Hörmander, Lars, 216, 217, 219, 226–27, 232, 264, 280, 300, 301
Nobel deliberations and, 365, 366
Hoselitz, Bert, 90–91
Houghton, Amory, 279
House Un-American Activities Committee (HUAC), 152, 187
Howard, Paul, 222
Hurwicz, Leo, 85
hydrogen bomb, 81, 93, 109, 110
hyperbolic equations, see nonlinear partial differential equations
I Am a Genius (Wiener), 136
I Am a Mathematician (Wiener), 136
IAS, see Institute for Advanced Study
IBM, 82
ICBMs (intercontinental ballistic missiles), 106, 110
If, 142
IHES (Institut des Hautes Études Scientifiques), 279, 280, 298, 311
Île de France, 233
Immigration Act (1941), 271–72
implicit-function theorems, 160, 222, 243
impossibility theorem, 108
Ingham, Albert E., 229, 232, 238
“Insanity Bit, The” (Krim), 291
Institut des Hautes Études Scientifiques (IHES), 279, 280, 298, 311
Institute for Advanced Study (IAS):
activities at, 63
creation of, 54–55
description of, 50, 215–16
Gödel’s professorship at, 355
Lefschetz on, 59
Nash at, 202, 208, 215–16, 220–21, 236
Nash at, after illness, 296–97, 303, 308–309, 311
insulin coma therapy, 291–94, 299, 306, 329, 353
intercontinental ballistic missiles (ICBMs), 106, 110
International Congress of Mathematicians:
1950, 129
1958, 233
1962, 300, 301
International Mathematical Union, 162
see also Fields Medal
Isbell, John, 205
Jacob, 327
Jacobson, Carl-Olof, 356–57, 370, 371–72, 373
“Jeep” problem, 145–46
Jeffries, Steve, 186
“John” (“Nash”), 75, 76–78
John XXIII, Pope, 276
John Alden Society, 33
John Bates Clark medal for economics, 369
Johnniac, 109
John von Neumann Theory Prize, 338–39, 354
Jung, Carl, 94
Kafka, Franz, 269, 273, 278, 327
Kahn, Herman, 105, 109, 111
Kahne, Merton J., 254, 258, 259
Kaiser Friedrich Institute, 56
Kakutani, Shizuo, 362
Kaluza, Theodor F. E., 94
Kant, Immanuel, 15
/> Kaplan, Fred, 105, 121
Karlin, Sam, 117
Karlquist, Anders, 368, 369
Kaysen, Carl, 116
Keefe, Richard, 342
Kemeny, John, 71, 270–71
Kennedy, John F., 280
Keynes, John Maynard, 14
Keynesian economics, 85
Khrushchev, Nikita, 278, 280, 332
King, Mervyn, 354, 355
Kinsey, Alfred, 181
Kirchner, Herman, 37
Kiselman, Christer, 366, 372
Nash’s lecture arranged by, 380
Kiselman, Ola, 366
Klein bottles, 157–58
Kochel, Ludwig Alois Ferdinand von, 281
Kodaira, Kunihiko, 101, 130
Kohn, Anna Rosa, 322
Kohn, Joseph, 134, 140, 157, 313, 314, 319, 320, 322
Nash as concern of, 338
Korean War, 123–27, 132, 229
Kraepelin, Emil, 18
Kreisel, Georg, 284
Kreps, David, 362
Kriegspiel, 75–76, 100, 101, 112, 285
Krim, Seymour, 291
Kubrick, Stanley, 80
Kuhn, Estelle, 275, 379, 380, 384
Kuhn, Harold, 64, 243, 339, 351, 381, 385, 386, 388
Carrier Clinic visit of, 313
description of, 21
in Econometric Society, 354
game theory and, 77, 83, 100
honeymoon of, 62
on invention of Hex, 78
in Korean War, 125
Nash’s letters to, 312, 387
on Nash’s need for recognition, 44
on Nash’s thesis, 95–96
Nash told of Nobel by, 21–22
at Nobel ceremonies, 275, 379, 380
Nobel committee’s request to, 363
Nobel deliberations and, 365, 367
sherry sessions of, 62, 72
on von Neumann, 79
Kunzig, Robert L., 152
Kuranishi, Masatake, 162
Ladyshenskaya, Olga, 234
Lang, Serge, 64, 73
Larde, Eloi Martin, 191
Larde, Enrique, 191, 192, 212
Larde, Florentin, 191
Larde, Jorge, 191
Larde, Muyu, 282
Larde (Danskin), Odette, see Danskin, Odette Larde
Larde, Rolando, 191
Larde Arthes, Carlos (father-in-law), 191–192, 193, 194, 201
illness and death of, 192, 296, 301
Larde Harrison, Alicia (mother-in-law), see Lopez-Harrison de Larde, Alicia
Lasker, 180
Lax, Anneli, 216
Lax, Peter, 216, 217, 218, 226, 246
Leader, Elvira, 284
Leader, Sol, 284, 343
League of Nations, 191, 270
Lefschetz, Solomon, 46, 47, 51, 58, 63, 64, 69, 71, 93, 95, 96, 130, 329
anti-Semitism and, 58
background of, 58–59
at IAS parties, 215
McCarthyism and, 153
Nash defended by, 73, 74
Nash’s job search and, 129, 132
new students welcomed by, 58–59
Legendre, Adrien Marie, 230
Legg, Charlie (brother-in-law), 209, 212, 302, 323, 331
Legg, Martha Nash (sister), 39, 170, 209, 283, 387
Alicia Nash’s letter to, 340
Esmiol contacted by, 321
on John Nash, Sr., 26
Levinson’s letter to, 322
Mele contacted by, 310
Nash committed to Dejarnette by, 331
Nash’s 1962 European trip and, 301
on Nash’s childhood, 32–33
and Nash’s commitment to Carrier, 304, 306, 307–8
on Nash’s desire to leave MIT, 235
Nash’s divorce and, 302
Nash’s letters to, 169, 181, 279, 282, 301, 310, 314, 316–17, 318, 319–20
Nash’s 1959–60 European stay and, 272, 279, 282
Nash’s present relationship with, 383
Nash’s Roanoke years and, 323, 330
Nash’s Trenton State hospitalization and, 287, 288, 290, 291
at Nash’s wedding, 212
and onset of Nash’s schizophrenia, 249, 251
sanctuary search revealed to, 302
on trip to California, 147–48
World War II and, 35–36
Lemke, Carl, 339
Leonard, Robert, 52, 84, 86, 94, 363
Leray, Jean, 236, 285, 298, 300
Lettvin, Jerome, 134, 250
Levinson, Norman, 135, 143, 153, 155, 200, 320
background of, 137–38
McCarthyism and, 153–54, 187
Nash’s Brandeis post supported by, 313, 314
Nash’s McLean commitment and, 254, 257
on Nash’s parsimony, 233
Nash’s professorship and, 162–63
Nash’s resignation and, 265
and onset of Nash’s schizophrenia, 243, 244
Riemann Hypothesis and, 230
Riemannian manifolds and, 158, 160, 161, 163
Levinson, Zipporah “Fagi,” 136, 137, 144, 172, 264, 265, 322
on Alicia Nash, 223
Alicia Nash aided by, 262
John Charles Nash’s birth and, 263–64
Nash monitored by, 320
Nash’s belongings moved by, 322
Nash’s McLean commitment and, 255, 259, 260
sublet arranged by, 319
Lewin, Roger, 335
Lewis, John L., 28
Lewy, Hans, 221
Lide, David, 41
Life, 32, 244
Life, game of, 158
Lincoln Laboratory, 13 3
Lindbeck, Assar, 356, 359–73
Littlewood, J. E., 130
Locke, John, 94
Lofgren, Karl-Gustaf, 359–60, 364
logic, 65
Lopez-Harrison de Larde, Alicia (mother-in-law), 191, 192, 194, 201, 342
European trip of, 276–77, 279, 280
John Charles Nash in care of, 277, 283, 287, 296, 309, 341
John Charles Nash’s mental problems and, 343, 344
United States left by, 346
Louthan, John, 38–39
Lowell, Robert, 253, 255, 256–57, 259, 260