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Menachem Magidor

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President of the Division for Logic, Methodology and Philosophy of Science and Technology of the International Union for History and Philosophy of Science and Technology (DLMPST/IUHPST)
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Division for Logic, Methodology and Philosophy of Science and Technology of the International Union for History and Philosophy of Science
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problem concerning existence of nonregular ultrafilters), even with the example of jumping cardinality of
572: 541: 461: 863:"Office of the President | האוניברסיטה העברית בירושלים | The Hebrew University of Jerusalem" 431: 99: 949: 929: 773: 735: 697: 656: 439: 407: 347: 924: 331: 95: 8: 625: 609: 435: 387: 253: 61: 790: 752: 714: 631: 327: 91: 825: 806: 613: 451: 403: 81: 820: 782: 744: 706: 681: 427: 383: 241: 211: 131: 802: 764: 726: 601: 763: 725: 768: 730: 617: 605: 423: 415: 733:(1988). "Martin's maximum, saturated ideals, and nonregular ultrafilters. I". 375: 136: 918: 889: 446:
he constructed models (1977) of set theory with first examples of nonregular
443: 323: 283: 199: 116: 846: 807:"Large cardinals and definable counterexamples to the continuum hypothesis" 771:(1988). "Martin's maximum, saturated ideals, and nonregular ultrafilters". 391: 447: 359: 57: 794: 756: 718: 686: 667: 621: 455: 419: 154: 149: 862: 616:. Magidor also gave a simple proof of the Jensen and the Dodd-Jensen 600:. Both proofs used the consistency of very large cardinals. Magidor, 786: 748: 710: 402:
Magidor obtained several important consistency results on powers of
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Magidor, Menachem (1977). "On the singular cardinals problem. II".
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closed set of ordinals is the union of countably many sets in
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over very small cardinals (related to the famous Guilmann
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Academic staff of the Hebrew University of Jerusalem
442:(but not at the same time). Assuming consistency of 322:: מנחם מגידור; born January 24, 1946) is an Israeli 640: 588: 557: 530: 477: 694: 665: 916: 219:President of the Hebrew University of Jerusalem 596:. This constituted a negative solution to the 538:. He even strengthened the condition that 342:from 1996 to 1998 and as president of the 824: 685: 608:formulated and proved the consistency of 655: 651: 397: 406:substantially developing the method of 374:, was written under the supervision of 917: 668:"On the singular cardinals problem. I" 955:Presidents of universities in Israel 945:21st-century Israeli mathematicians 940:20th-century Israeli mathematicians 13: 577: 546: 513: 498: 466: 14: 966: 589:{\displaystyle \aleph _{\omega }} 558:{\displaystyle \aleph _{\omega }} 478:{\displaystyle \aleph _{\omega }} 378:. He served as president of the 812:Annals of Pure and Applied Logic 805:& Magidor, Menachem (1995). 567:generalised continuum hypothesis 334:. He served as president of the 29: 855: 840: 380:Hebrew University of Jerusalem 368:Hebrew University of Jerusalem 340:Association for Symbolic Logic 336:Hebrew University of Jerusalem 261:President of the DLMPST/IUHPST 1: 851:Mathematics Genealogy Project 834: 673:Israel Journal of Mathematics 612:, a provably maximal form of 598:singular cardinals hypothesis 382:from 1997 to 2009, following 358:Menachem Magidor was born in 865:. New.huji.ac.il. 2017-09-01 826:10.1016/0168-0072(94)00031-W 458:. He proved consistent that 353: 7: 430:. He proved that the least 10: 971: 767:; Magidor, Menachem & 729:; Magidor, Menachem & 666:Magidor, Menachem (1977). 624:does not exist then every 434:can be equal to the least 372:On Super Compact Cardinals 362:, Israel. He received his 903: 894: 886: 881: 432:strongly compact cardinal 390:. The Oxford philosopher 309: 305: 301: 289: 277: 266: 259: 247: 235: 224: 217: 205: 193: 182: 175: 171: 167: 163: 142: 130: 122: 112: 105: 87: 77: 69: 40: 28: 21: 660:Menachem Magidor in 1973 565:is strong limit to that 418:in order to change the 338:, was president of the 100:Large cardinal property 661: 642: 590: 559: 532: 479: 774:Annals of Mathematics 736:Annals of Mathematics 698:Annals of Mathematics 659: 652:Selected publications 643: 591: 560: 533: 485:is strong limit, but 480: 440:supercompact cardinal 398:Mathematical theories 348:Solomon Bublick Award 16:Israeli mathematician 632: 620:. He proved that if 573: 542: 489: 462: 326:who specializes in 177:President of the ASL 626:primitive recursive 436:measurable cardinal 426:to a predetermined 388:Menachem Ben-Sasson 254:Menachem Ben-Sasson 62:Mandatory Palestine 687:10.1007/BF02759779 662: 638: 586: 555: 528: 475: 404:singular cardinals 328:mathematical logic 92:Mathematical logic 913: 912: 904:Succeeded by 882:Academic offices 641:{\displaystyle L} 394:is his daughter. 386:and succeeded by 366:in 1973 from the 313: 312: 143:Doctoral students 126:Hebrew University 107:Scientific career 82:Hebrew University 962: 907:Nancy Cartwright 887:Preceded by 879: 878: 874: 873: 871: 870: 859: 853: 847:Menachem Magidor 844: 830: 828: 803:Foreman, Matthew 798: 765:Foreman, Matthew 760: 727:Foreman, Matthew 722: 691: 689: 647: 645: 644: 639: 610:Martin's maximum 595: 593: 592: 587: 585: 584: 564: 562: 561: 556: 554: 553: 537: 535: 534: 529: 527: 526: 508: 507: 506: 505: 484: 482: 481: 476: 474: 473: 438:or to the least 428:regular cardinal 384:Hanoch Gutfreund 330:, in particular 316:Menachem Magidor 296:Nancy Cartwright 292: 280: 271: 250: 242:Hanoch Gutfreund 238: 229: 212:Donald A. Martin 208: 196: 187: 132:Doctoral advisor 54: 51:January 24, 1946 50: 48: 33: 23:Menachem Magidor 19: 18: 970: 969: 965: 964: 963: 961: 960: 959: 915: 914: 909: 900: 892: 877: 868: 866: 861: 860: 856: 845: 841: 837: 787:10.2307/2007004 769:Shelah, Saharon 749:10.2307/1971415 731:Shelah, Saharon 711:10.2307/1971065 654: 633: 630: 629: 618:covering lemmas 602:Matthew Foreman 580: 576: 574: 571: 570: 549: 545: 543: 540: 539: 516: 512: 501: 497: 496: 492: 490: 487: 486: 469: 465: 463: 460: 459: 400: 356: 290: 278: 272: 267: 248: 236: 230: 225: 206: 194: 188: 183: 159: 78:Alma mater 65: 55: 52: 46: 44: 36: 35:Magidor in 2006 24: 17: 12: 11: 5: 968: 958: 957: 952: 947: 942: 937: 932: 927: 911: 910: 905: 902: 893: 888: 884: 883: 876: 875: 854: 838: 836: 833: 832: 831: 799: 781:(3): 521–545. 761: 723: 705:(3): 517–547. 692: 653: 650: 637: 614:Martin's axiom 606:Saharon Shelah 583: 579: 552: 548: 525: 522: 519: 515: 511: 504: 500: 495: 472: 468: 444:huge cardinals 424:large cardinal 416:Prikry forcing 399: 396: 370:. His thesis, 355: 352: 311: 310: 307: 306: 303: 302: 299: 298: 293: 287: 286: 281: 275: 274: 264: 263: 257: 256: 251: 245: 244: 239: 233: 232: 222: 221: 215: 214: 209: 203: 202: 197: 191: 190: 180: 179: 173: 172: 169: 168: 165: 164: 161: 160: 158: 157: 152: 146: 144: 140: 139: 134: 128: 127: 124: 120: 119: 114: 110: 109: 103: 102: 89: 88:Known for 85: 84: 79: 75: 74: 71: 67: 66: 56: 42: 38: 37: 34: 26: 25: 22: 15: 9: 6: 4: 3: 2: 967: 956: 953: 951: 950:Set theorists 948: 946: 943: 941: 938: 936: 933: 931: 930:Living people 928: 926: 923: 922: 920: 908: 899: 898: 891: 890:Elliott Sober 885: 880: 864: 858: 852: 848: 843: 839: 827: 822: 818: 814: 813: 808: 804: 800: 796: 792: 788: 784: 780: 776: 775: 770: 766: 762: 758: 754: 750: 746: 742: 738: 737: 732: 728: 724: 720: 716: 712: 708: 704: 700: 699: 693: 688: 683: 680:(1–2): 1–31. 679: 675: 674: 669: 664: 663: 658: 649: 635: 627: 623: 619: 615: 611: 607: 603: 599: 581: 568: 550: 523: 520: 517: 509: 502: 493: 470: 457: 453: 449: 445: 441: 437: 433: 429: 425: 421: 417: 413: 409: 405: 395: 393: 389: 385: 381: 377: 373: 369: 365: 361: 351: 349: 345: 341: 337: 333: 329: 325: 324:mathematician 321: 317: 308: 304: 300: 297: 294: 288: 285: 284:Elliott Sober 282: 276: 270: 265: 262: 258: 255: 252: 246: 243: 240: 234: 228: 223: 220: 216: 213: 210: 204: 201: 200:George Boolos 198: 192: 186: 181: 178: 174: 170: 166: 162: 156: 153: 151: 148: 147: 145: 141: 138: 135: 133: 129: 125: 121: 118: 117:Mathematician 115: 111: 108: 104: 101: 97: 93: 90: 86: 83: 80: 76: 72: 68: 63: 59: 53:(age 78) 43: 39: 32: 27: 20: 895: 867:. Retrieved 857: 842: 819:(1): 47–97. 816: 810: 778: 772: 740: 734: 702: 696: 677: 671: 569:holds below 448:ultrafilters 401: 392:Ofra Magidor 371: 357: 315: 314: 291:Succeeded by 268: 249:Succeeded by 226: 207:Succeeded by 184: 123:Institutions 106: 64:(now Israel) 925:1946 births 743:(1): 1–47. 456:ultrapowers 412:generalized 376:Azriel Lévy 360:Petah Tikva 279:Preceded by 237:Preceded by 195:Preceded by 137:Azriel Lévy 70:Nationality 58:Petah Tikva 919:Categories 901:2016-2019 869:2020-02-18 835:References 420:cofinality 332:set theory 155:Anna Sfard 150:Moti Gitik 96:Set theory 47:1946-01-24 582:ω 578:ℵ 551:ω 547:ℵ 518:ω 514:ℵ 503:ω 499:ℵ 471:ω 467:ℵ 354:Biography 273:2016–2019 269:In office 231:1997–2009 227:In office 189:1996–1998 185:In office 849:at the 795:2007004 757:1971415 719:1971065 452:Keisler 408:forcing 73:Israeli 793:  755:  717:  604:, and 320:Hebrew 113:Fields 791:JSTOR 777:. 2. 753:JSTOR 739:. 2. 715:JSTOR 701:. 2. 422:of a 410:. He 364:Ph.D. 414:the 41:Born 821:doi 783:doi 779:127 745:doi 741:127 707:doi 703:106 682:doi 921:: 817:76 815:. 809:. 789:. 751:. 713:. 678:28 676:. 670:. 648:. 350:. 98:, 94:, 60:, 49:) 872:. 829:. 823:: 797:. 785:: 759:. 747:: 721:. 709:: 690:. 684:: 636:L 622:0 524:2 521:+ 510:= 494:2 318:( 45:(

Index


Petah Tikva
Mandatory Palestine
Hebrew University
Mathematical logic
Set theory
Large cardinal property
Mathematician
Doctoral advisor
Azriel Lévy
Moti Gitik
Anna Sfard
President of the ASL
George Boolos
Donald A. Martin
President of the Hebrew University of Jerusalem
Hanoch Gutfreund
Menachem Ben-Sasson
President of the DLMPST/IUHPST
Elliott Sober
Nancy Cartwright
Hebrew
mathematician
mathematical logic
set theory
Hebrew University of Jerusalem
Association for Symbolic Logic
Division for Logic, Methodology and Philosophy of Science and Technology of the International Union for History and Philosophy of Science
Solomon Bublick Award
Petah Tikva

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