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W. Hugh Woodin

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31: 266:. Woodin criticizes this view arguing that it leads to a counterintuitive reduction in which all truths in the set theoretical universe can be decided from a small part of it. He claims that these and related mathematical results lead (intuitively) to the conclusion that the continuum hypothesis has a 273:
Woodin now predicts that there should be a way of constructing an inner model for almost all known large cardinals, which he calls the Ultimate L and which would have similar properties as
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of the Berkeley mathematics department for the 2002–2003 academic year. Woodin is a managing editor of the
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The Continuum Hypothesis, the Conjecture, and the inner model problem of one supercompact cardinal.
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He has done work on the theory of generic multiverses and the related concept of
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Woodin's plenary talk at the 2010 International Congress of Mathematicians
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The Axiom of Determinacy, Forcing Axioms, and the Nonstationary Ideal
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from the University of California, Berkeley in 1984 under
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Members of the United States National Academy of Sciences
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Harvard University Department of Mathematics faculty
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Fellows of the American Academy of Arts and Sciences
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Harvard University Department of Philosophy faculty
219:Discontinuous Homomorphisms of C(Ω) and Set Theory 189:, bears his name. In 2023, he was elected to the 465: 369:"To Settle Infinity Dispute, a New Law of Logic" 262:is either undecidable or false in the sense of 270:and the Platonistic approach is reasonable. 509:University of California, Berkeley faculty 504:University of California, Berkeley alumni 366: 457:, Volume 74, Issue 4 (2009), 1155–1170. 348:. American Academy of Arts and Sciences 343:"Book of Members, 1780–2010: Chapter W" 258:, which suggested an argument that the 466: 404: 436:at University of California, Berkeley 233:American Academy of Arts and Sciences 484:21st-century American mathematicians 479:20th-century American mathematicians 335: 13: 117:California Institute of Technology 113:University of California, Berkeley 69:University of California, Berkeley 16:American mathematician (born 1955) 14: 545: 445:Incompatible Ω-Complete Theories 389: 367:Wolchover, Natalie (2013-11-26). 231:. He was elected a Fellow of the 29: 321: 275:Gödel's constructible universe 1: 400:Mathematics Genealogy Project 314: 228:Journal of Mathematical Logic 217:. His dissertation title was 238:He is the great-grandson of 196: 191:National Academy of Sciences 7: 302: 10: 550: 454:Journal of Symbolic Logic 285:In 2008, Woodin held the 280: 244:Secretary of the Treasury 156: 138: 126: 108: 98: 91: 73: 65: 40: 28: 21: 405:Woodin, W. Hugh (2010). 529:Hausdorff Medal winners 249: 264:mathematical platonism 240:William Hartman Woodin 411:. Walter de Gruyter. 295:In 2018, he was the 260:continuum hypothesis 209:, Woodin earned his 163:William Hugh Woodin 35:Hugh Woodin in 1994 474:American logicians 171:Harvard University 143:Joel David Hamkins 121:Harvard University 418:978-3-11-019702-0 215:Robert M. Solovay 160: 159: 139:Doctoral students 133:Robert M. Solovay 93:Scientific career 541: 430: 383: 382: 380: 379: 364: 358: 357: 355: 353: 347: 339: 333: 332: 325: 187:Woodin cardinals 128:Doctoral advisor 78:Woodin cardinals 54: 50: 48: 33: 19: 18: 549: 548: 544: 543: 542: 540: 539: 538: 464: 463: 419: 392: 387: 386: 377: 375: 373:Quanta Magazine 365: 361: 351: 349: 345: 341: 340: 336: 327: 326: 322: 317: 305: 297:Tarski lecturer 283: 252: 221:. He served as 199: 183:large cardinals 149: 145: 119: 115: 66:Alma mater 61: 58:Tucson, Arizona 55: 52: 46: 44: 36: 24: 17: 12: 11: 5: 547: 537: 536: 531: 526: 521: 516: 511: 506: 501: 496: 491: 486: 481: 476: 462: 461: 449:Peter Koellner 442: 437: 431: 417: 402: 396:W. Hugh Woodin 391: 390:External links 388: 385: 384: 359: 334: 319: 318: 316: 313: 312: 311: 304: 301: 282: 279: 251: 248: 198: 195: 158: 157: 154: 153: 147:Gregory Hjorth 140: 136: 135: 130: 124: 123: 110: 106: 105: 100: 96: 95: 89: 88: 75: 74:Known for 71: 70: 67: 63: 62: 56: 51:April 23, 1955 42: 38: 37: 34: 26: 25: 23:W. Hugh Woodin 22: 15: 9: 6: 4: 3: 2: 546: 535: 532: 530: 527: 525: 524:Set theorists 522: 520: 517: 515: 512: 510: 507: 505: 502: 500: 497: 495: 494:Living people 492: 490: 487: 485: 482: 480: 477: 475: 472: 471: 469: 459: 456: 455: 450: 446: 443: 441: 438: 435: 432: 428: 424: 420: 414: 410: 409: 403: 401: 397: 394: 393: 374: 370: 363: 344: 338: 330: 324: 320: 310: 307: 306: 300: 298: 293: 292: 288: 287:Gödel Lecture 278: 276: 271: 269: 265: 261: 257: 247: 245: 241: 236: 234: 230: 229: 224: 220: 216: 212: 208: 204: 194: 192: 188: 184: 180: 176: 172: 168: 164: 155: 152: 148: 144: 141: 137: 134: 131: 129: 125: 122: 118: 114: 111: 107: 104: 101: 97: 94: 90: 87: 83: 79: 76: 72: 68: 64: 59: 53:(age 69) 43: 39: 32: 27: 20: 452: 407: 376:. Retrieved 372: 362: 350:. Retrieved 337: 329:"News - NAS" 323: 294: 290: 284: 272: 253: 237: 226: 218: 200: 181:. A type of 175:inner models 167:set theorist 162: 161: 151:Joan Bagaria 109:Institutions 92: 489:1955 births 268:truth value 179:determinacy 103:Mathematics 468:Categories 378:2024-03-23 315:References 82:Ultimate L 47:1955-04-23 434:Home page 427:605013810 242:, former 235:in 2000. 197:Biography 303:See also 201:Born in 398:at the 352:June 3, 289:titled 256:Ω-logic 207:Arizona 86:Ω-logic 447:(with 425:  415:  281:Honors 203:Tucson 185:, the 99:Fields 60:, U.S. 346:(PDF) 223:chair 211:Ph.D. 451:), 423:OCLC 413:ISBN 354:2011 250:Work 177:and 41:Born 309:AD+ 169:at 470:: 421:. 371:. 299:. 246:. 205:, 193:. 84:, 80:, 49:) 460:. 429:. 381:. 356:. 331:. 45:(

Index


Tucson, Arizona
Woodin cardinals
Ultimate L
Ω-logic
Mathematics
University of California, Berkeley
California Institute of Technology
Harvard University
Doctoral advisor
Robert M. Solovay
Joel David Hamkins
Gregory Hjorth
Joan Bagaria
set theorist
Harvard University
inner models
determinacy
large cardinals
Woodin cardinals
National Academy of Sciences
Tucson
Arizona
Ph.D.
Robert M. Solovay
chair
Journal of Mathematical Logic
American Academy of Arts and Sciences
William Hartman Woodin
Secretary of the Treasury

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