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W. Hugh Woodin

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42: 277:. 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 284:
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
230:Discontinuous Homomorphisms of C(Ω) and Set Theory 200:, bears his name. In 2023, he was elected to the 476: 380:"To Settle Infinity Dispute, a New Law of Logic" 273:is either undecidable or false in the sense of 281:and the Platonistic approach is reasonable. 520:University of California, Berkeley faculty 515:University of California, Berkeley alumni 377: 468:, Volume 74, Issue 4 (2009), 1155–1170. 359:. American Academy of Arts and Sciences 354:"Book of Members, 1780–2010: Chapter W" 269:, which suggested an argument that the 14: 477: 415: 447:at University of California, Berkeley 244:American Academy of Arts and Sciences 495:21st-century American mathematicians 490:20th-century American mathematicians 346: 24: 128:California Institute of Technology 124:University of California, Berkeley 80:University of California, Berkeley 27:American mathematician (born 1955) 25: 556: 456:Incompatible Ω-Complete Theories 400: 378:Wolchover, Natalie (2013-11-26). 242:. He was elected a Fellow of the 40: 332: 286:Gödel's constructible universe 13: 1: 411:Mathematics Genealogy Project 325: 239:Journal of Mathematical Logic 228:. His dissertation title was 249:He is the great-grandson of 207: 202:National Academy of Sciences 7: 313: 10: 561: 465:Journal of Symbolic Logic 296:In 2008, Woodin held the 291: 255:Secretary of the Treasury 167: 149: 137: 119: 109: 102: 84: 76: 51: 39: 32: 416:Woodin, W. Hugh (2010). 540:Hausdorff Medal winners 260: 275:mathematical platonism 251:William Hartman Woodin 422:. Walter de Gruyter. 306:In 2018, he was the 271:continuum hypothesis 220:, Woodin earned his 174:William Hugh Woodin 46:Hugh Woodin in 1994 485:American logicians 182:Harvard University 154:Joel David Hamkins 132:Harvard University 429:978-3-11-019702-0 226:Robert M. Solovay 171: 170: 150:Doctoral students 144:Robert M. Solovay 104:Scientific career 16:(Redirected from 552: 441: 394: 393: 391: 390: 375: 369: 368: 366: 364: 358: 350: 344: 343: 336: 198:Woodin cardinals 139:Doctoral advisor 89:Woodin cardinals 65: 61: 59: 44: 30: 29: 21: 560: 559: 555: 554: 553: 551: 550: 549: 475: 474: 430: 403: 398: 397: 388: 386: 384:Quanta Magazine 376: 372: 362: 360: 356: 352: 351: 347: 338: 337: 333: 328: 316: 308:Tarski lecturer 294: 263: 232:. He served as 210: 194:large cardinals 160: 156: 130: 126: 77:Alma mater 72: 69:Tucson, Arizona 66: 63: 57: 55: 47: 35: 28: 23: 22: 15: 12: 11: 5: 558: 548: 547: 542: 537: 532: 527: 522: 517: 512: 507: 502: 497: 492: 487: 473: 472: 460:Peter Koellner 453: 448: 442: 428: 413: 407:W. Hugh Woodin 402: 401:External links 399: 396: 395: 370: 345: 330: 329: 327: 324: 323: 322: 315: 312: 293: 290: 262: 259: 209: 206: 169: 168: 165: 164: 158:Gregory Hjorth 151: 147: 146: 141: 135: 134: 121: 117: 116: 111: 107: 106: 100: 99: 86: 85:Known for 82: 81: 78: 74: 73: 67: 62:April 23, 1955 53: 49: 48: 45: 37: 36: 34:W. Hugh Woodin 33: 26: 9: 6: 4: 3: 2: 557: 546: 543: 541: 538: 536: 535:Set theorists 533: 531: 528: 526: 523: 521: 518: 516: 513: 511: 508: 506: 505:Living people 503: 501: 498: 496: 493: 491: 488: 486: 483: 482: 480: 470: 467: 466: 461: 457: 454: 452: 449: 446: 443: 439: 435: 431: 425: 421: 420: 414: 412: 408: 405: 404: 385: 381: 374: 355: 349: 341: 335: 331: 321: 318: 317: 311: 309: 304: 303: 299: 298:Gödel Lecture 289: 287: 282: 280: 276: 272: 268: 258: 256: 252: 247: 245: 241: 240: 235: 231: 227: 223: 219: 215: 205: 203: 199: 195: 191: 187: 183: 179: 175: 166: 163: 159: 155: 152: 148: 145: 142: 140: 136: 133: 129: 125: 122: 118: 115: 112: 108: 105: 101: 98: 94: 90: 87: 83: 79: 75: 70: 64:(age 69) 54: 50: 43: 38: 31: 19: 463: 418: 387:. Retrieved 383: 373: 361:. Retrieved 348: 340:"News - NAS" 334: 305: 301: 295: 283: 264: 248: 237: 229: 211: 192:. A type of 186:inner models 178:set theorist 173: 172: 162:Joan Bagaria 120:Institutions 103: 500:1955 births 279:truth value 190:determinacy 114:Mathematics 479:Categories 389:2024-03-23 326:References 93:Ultimate L 58:1955-04-23 18:Ultimate L 445:Home page 438:605013810 253:, former 246:in 2000. 208:Biography 314:See also 212:Born in 409:at the 363:June 3, 300:titled 267:Ω-logic 218:Arizona 97:Ω-logic 458:(with 436:  426:  292:Honors 214:Tucson 196:, the 110:Fields 71:, U.S. 357:(PDF) 234:chair 222:Ph.D. 462:), 434:OCLC 424:ISBN 365:2011 261:Work 188:and 52:Born 320:AD+ 180:at 481:: 432:. 382:. 310:. 257:. 216:, 204:. 95:, 91:, 60:) 471:. 440:. 392:. 367:. 342:. 56:( 20:)

Index

Ultimate L

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

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