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Adrian Mathias

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and was admitted to the Ph.D. at Cambridge University in 1970. From 1969 to 1990, Mathias was a fellow of Peterhouse; during this period, he was the editor of the
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he shows that the number in the title is the number of symbols required for Bourbaki's definition of the number
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Mathias is also known for his writings around sociological aspects of logic. These include
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His more recent work on forcing includes the study of the theory PROVI of
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Mathias, Adrian (2015). "Provident sets and rudimentary set forcing".
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Mathias became mathematically active soon after the introduction of
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is stronger than necessary for "mainstream" mathematics; his paper
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Mathias, Adrian (2001). "The Strength of Mac Lane Set Theory".
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Mathematical Proceedings of the Cambridge Philosophical Society
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Mathias also used forcing to separate two weak forms of the
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In 1969, he returned to Cambridge as a research fellow at
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as being a "vital source" on forcing in its early days.
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from 1972 to 1974, spent one academic year (1978/79) as
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Mathias, Adrian. "Surrealist landscape with figures".
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Kanamori, Akihiro (2016). "Mathias and Set Theory".
353:. Mathias has also considered claims that standard 552: 296:. In the same paper he shows that no (infinite) 239:Mathematisches Forschungsinstitut Oberwolfach 339:Hilbert, Bourbaki and the scorning of logic 451:Mathias, Adrian (1977). "Happy Families". 31: 474:. Mineola, New York: Dover. p. 117. 404: 385: 513: 494: 450: 553: 596:Alumni of Trinity College, Cambridge 469: 566:21st-century English mathematicians 561:20th-century English mathematicians 431: 315:, which states that any set can be 253:, before becoming Professor at the 13: 347:A Term of Length 4,523,659,424,929 225:and another year (1989/90) at the 14: 612: 530: 411:. Berlin: Springer. p. 117. 361:on this topic appeared alongside 283:Surrealist landscape with figures 591:Fellows of Peterhouse, Cambridge 516:Annals of Pure and Applied Logic 37:Mathias in London, February 2020 507: 488: 463: 444: 425: 398: 379: 341:, in which Mathias criticises 298:maximal almost disjoint family 1: 546:Mathematics Genealogy Project 372: 542:Adrian Richard David Mathias 453:Annals of Mathematical Logic 388:Mathematical Logic Quarterly 148:Adrian Richard David Mathias 7: 321:Boolean Prime Ideal Theorem 10: 617: 405:Kanamori, Akihiro (2003). 176:Trinity College, Cambridge 75:Trinity College, Cambridge 367:Is Mathias an ontologist? 359:What is Mac Lane missing? 335:The ignorance of Bourbaki 165: 141: 127: 111: 97: 87: 80: 70: 60: 42: 30: 23: 601:Cambridge mathematicians 255:UniversitĂ© de la RĂ©union 170:Mathias was educated at 106:UniversitĂ© de la RĂ©union 497:Fundamenta Mathematicae 268: 263:University of Cambridge 200:University of Wisconsin 102:University of Cambridge 581:Mathematical logicians 345:approach to logic; in 186:where he studied with 470:Jech, Thomas (2008). 319:, does not imply the 16:British mathematician 206:during that period. 472:The Axiom of Choice 434:Periodica Hungarica 408:The Higher Infinite 311:, showing that the 313:ordering principle 219:Hochschulassistent 162:is named for him. 122:John Horton Conway 481:978-0-486-46624-8 363:Saunders Mac Lane 259:Doctor of Science 204:Monash University 145: 144: 128:Doctoral students 82:Scientific career 608: 524: 523: 511: 505: 504: 492: 486: 485: 467: 461: 460: 448: 442: 441: 429: 423: 422: 402: 396: 395: 383: 317:linearly ordered 132:Akihiro Kanamori 113:Doctoral advisor 56: 53:12 February 1944 52: 50: 35: 21: 20: 616: 615: 611: 610: 609: 607: 606: 605: 551: 550: 533: 528: 527: 512: 508: 493: 489: 482: 468: 464: 449: 445: 430: 426: 419: 403: 399: 384: 380: 375: 309:Axiom of choice 294:Mathias forcing 271: 168: 160:Mathias forcing 120: 104: 71:Alma mater 54: 48: 46: 38: 26: 17: 12: 11: 5: 614: 604: 603: 598: 593: 588: 583: 578: 573: 568: 563: 549: 548: 539: 532: 531:External links 529: 526: 525: 506: 487: 480: 462: 443: 424: 417: 397: 377: 376: 374: 371: 328:provident sets 290:Happy families 270: 267: 167: 164: 143: 142: 139: 138: 136:Thomas Forster 129: 125: 124: 115: 109: 108: 99: 95: 94: 89: 85: 84: 78: 77: 72: 68: 67: 62: 58: 57: 44: 40: 39: 36: 28: 27: 25:Adrian Mathias 24: 15: 9: 6: 4: 3: 2: 613: 602: 599: 597: 594: 592: 589: 587: 586:Set theorists 584: 582: 579: 577: 576:Living people 574: 572: 569: 567: 564: 562: 559: 558: 556: 547: 543: 540: 538: 535: 534: 521: 517: 510: 502: 498: 491: 483: 477: 473: 466: 458: 454: 447: 439: 435: 428: 420: 418:3-540-00384-3 414: 410: 409: 401: 393: 389: 382: 378: 370: 368: 364: 360: 356: 352: 348: 344: 340: 336: 331: 329: 324: 322: 318: 314: 310: 305: 303: 299: 295: 291: 286: 284: 280: 276: 266: 264: 260: 256: 252: 248: 244: 240: 236: 232: 228: 224: 221:to Jensen in 220: 216: 212: 207: 205: 201: 197: 193: 189: 188:Ronald Jensen 185: 181: 177: 173: 163: 161: 157: 153: 149: 140: 137: 133: 130: 126: 123: 119: 118:Ronald Jensen 116: 114: 110: 107: 103: 100: 96: 93: 90: 86: 83: 79: 76: 73: 69: 66: 63: 59: 55:(age 80) 45: 41: 34: 29: 22: 19: 519: 515: 509: 500: 496: 490: 471: 465: 456: 452: 446: 437: 433: 427: 407: 400: 391: 387: 381: 366: 365:'s response 358: 346: 338: 334: 332: 327: 325: 312: 306: 289: 287: 282: 272: 218: 208: 169: 147: 146: 98:Institutions 81: 18: 571:1944 births 190:, visiting 92:Mathematics 61:Nationality 555:Categories 522:: 107–234. 440:: 109–175. 394:: 278–294. 373:References 343:Bourbaki's 288:His paper 279:Paul Cohen 211:Peterhouse 172:Shrewsbury 152:set theory 49:1944-02-12 537:Home page 503:: 99–148. 459:: 59–111. 265:in 2015. 249:, and in 247:Barcelona 241:, at the 237:, at the 302:analytic 231:Berkeley 223:Freiburg 196:Stanford 544:at the 300:can be 275:forcing 261:at the 184:Germany 158:notion 156:forcing 65:British 478:  415:  251:Bogotá 235:Warsaw 202:, and 198:, the 166:Career 154:. The 88:Fields 476:ISBN 413:ISBN 392:62:3 337:and 269:Work 227:MSRI 192:UCLA 180:Bonn 174:and 43:Born 520:110 501:230 355:ZFC 277:by 245:in 243:CRM 229:in 182:in 557:: 518:. 499:. 457:12 455:. 438:10 436:. 390:. 323:. 304:. 194:, 134:, 51:) 484:. 421:. 351:1 47:(

Index


British
Trinity College, Cambridge
Mathematics
University of Cambridge
Université de la Réunion
Doctoral advisor
Ronald Jensen
John Horton Conway
Akihiro Kanamori
Thomas Forster
set theory
forcing
Mathias forcing
Shrewsbury
Trinity College, Cambridge
Bonn
Germany
Ronald Jensen
UCLA
Stanford
University of Wisconsin
Monash University
Peterhouse
Mathematical Proceedings of the Cambridge Philosophical Society
Freiburg
MSRI
Berkeley
Warsaw
Mathematisches Forschungsinstitut Oberwolfach

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