Knowledge (XXG)

Leo Harrington

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379: 392: 31: 385: 473: 468: 429: 463: 458: 493: 67: 422: 170: 107: 415: 363: 189: 453: 193: 478: 483: 448: 230: 226: 488: 132: 237: 301: 293: 222: 399: 319: 331: 285: 185:. Having retired from being a Mathematician, Professor Leo Harrington is now a Philosopher. 174: 114: 78: 378: 391: 257:
Paris, J.; Harrington, L. (1977), "A Mathematical Incompleteness in Peano Arithmetic", in
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University of California, Berkeley College of Letters and Science faculty
297: 384: 289: 353: 320:"The undecidability of the recursively enumerable degrees" 403: 276:
Harrington, L. (1978), "Analytic Determinacy and 0",
125: 113: 103: 93: 73: 63: 53: 37: 21: 398:This article about an American mathematician is a 423: 8: 469:Massachusetts Institute of Technology alumni 430: 416: 29: 18: 335: 188:His notable results include proving the 249: 165:(born May 17, 1946) is a professor of 7: 464:21st-century American mathematicians 459:20th-century American mathematicians 374: 372: 318:Harrington, L.; Shelah, S. (1982), 265:, North-Holland, pp. 1133–1142 402:. You can help Knowledge (XXG) by 171:University of California, Berkeley 108:University of California, Berkeley 14: 390: 383: 377: 337:10.1090/S0273-0979-1982-14970-9 263:Handbook of Mathematical Logic 1: 364:Mathematics Genealogy Project 324:Bull. Amer. Math. Soc. (N.S.) 494:American mathematician stubs 510: 371: 278:Journal of Symbolic Logic 156: 86: 28: 190:Paris–Harrington theorem 231:recursively enumerable 196:, showing that if the 163:Leo Anthony Harrington 16:American mathematician 227:partially ordered set 198:axiom of determinacy 217:, and proving with 454:American logicians 223:first-order theory 411: 410: 160: 159: 133:MarĂ­a Luisa Bonet 126:Doctoral students 88:Scientific career 23:Leo A. Harrington 501: 432: 425: 418: 394: 389: 388: 387: 381: 373: 341: 340: 339: 315: 309: 308: 273: 267: 266: 254: 175:recursion theory 115:Doctoral advisor 82: 48: 46: 33: 19: 509: 508: 504: 503: 502: 500: 499: 498: 479:Model theorists 439: 438: 437: 436: 382: 376: 369: 350: 345: 344: 317: 316: 312: 290:10.2307/2273508 275: 274: 270: 256: 255: 251: 246: 210:exists for all 152: 148:Jessica Staddon 143:Ehud Hrushovski 120:Gerald E. Sacks 77: 64:Alma mater 44: 42: 24: 17: 12: 11: 5: 507: 505: 497: 496: 491: 486: 481: 476: 471: 466: 461: 456: 451: 441: 440: 435: 434: 427: 420: 412: 409: 408: 395: 367: 366: 360:Leo Harrington 357: 349: 348:External links 346: 343: 342: 310: 284:(4): 685–693, 268: 248: 247: 245: 242: 234:Turing degrees 219:Saharon Shelah 200:holds for all 173:who works in 158: 157: 154: 153: 151: 150: 145: 140: 135: 129: 127: 123: 122: 117: 111: 110: 105: 101: 100: 95: 91: 90: 84: 83: 75: 71: 70: 65: 61: 60: 55: 51: 50: 39: 35: 34: 26: 25: 22: 15: 13: 10: 9: 6: 4: 3: 2: 506: 495: 492: 490: 487: 485: 484:Set theorists 482: 480: 477: 475: 472: 470: 467: 465: 462: 460: 457: 455: 452: 450: 449:Living people 447: 446: 444: 433: 428: 426: 421: 419: 414: 413: 407: 405: 401: 396: 393: 386: 380: 375: 370: 365: 361: 358: 355: 352: 351: 347: 338: 333: 329: 325: 321: 314: 311: 307: 303: 299: 295: 291: 287: 283: 279: 272: 269: 264: 260: 253: 250: 243: 241: 239: 235: 232: 228: 224: 220: 216: 213: 209: 208: 203: 202:analytic sets 199: 195: 191: 186: 184: 180: 176: 172: 168: 164: 155: 149: 146: 144: 141: 139: 136: 134: 131: 130: 128: 124: 121: 118: 116: 112: 109: 106: 102: 99: 96: 92: 89: 85: 80: 79:Gödel Lecture 76: 72: 69: 66: 62: 59: 58:United States 56: 52: 49:(age 78) 40: 36: 32: 27: 20: 404:expanding it 397: 368: 330:(1): 79–80, 327: 323: 313: 281: 277: 271: 262: 252: 214: 206: 187: 179:model theory 162: 161: 138:Concha GĂłmez 104:Institutions 87: 41:May 17, 1946 489:1946 births 259:Barwise, J. 238:undecidable 192:along with 167:mathematics 98:Mathematics 54:Citizenship 443:Categories 244:References 194:Jeff Paris 183:set theory 45:1946-05-17 354:Home page 221:that the 306:46061318 362:at the 298:2273508 261:(ed.), 225:of the 169:at the 43: ( 304:  296:  181:, and 94:Fields 81:(1995) 74:Awards 302:S2CID 294:JSTOR 212:reals 204:then 400:stub 38:Born 332:doi 286:doi 236:is 229:of 68:MIT 445:: 326:, 322:, 300:, 292:, 282:43 280:, 240:. 177:, 431:e 424:t 417:v 406:. 356:. 334:: 328:6 288:: 215:x 207:x 47:)

Index


United States
MIT
Gödel Lecture
Mathematics
University of California, Berkeley
Doctoral advisor
Gerald E. Sacks
MarĂ­a Luisa Bonet
Concha GĂłmez
Ehud Hrushovski
Jessica Staddon
mathematics
University of California, Berkeley
recursion theory
model theory
set theory
Paris–Harrington theorem
Jeff Paris
axiom of determinacy
analytic sets
x
reals
Saharon Shelah
first-order theory
partially ordered set
recursively enumerable
Turing degrees
undecidable
Barwise, J.

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