Knowledge (XXG)

Gerald Sacks

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Recursively Enumerable Sets and Degrees: A Study of Computable Functions and Computably Generated Sets
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starting in 1972 and became emeritus at M.I.T. in 2006 and at Harvard in 2012.
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Massachusetts Institute of Technology School of Science faculty
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Combinatorial Set Theory: With a Gentle Introduction to Forcing
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Chi Tat Chong, Yue Yang, "An interview with Gerald E. Sacks",
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Recursion Theory: Computational Aspects of Definability
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and the Sacks Density Theorem, which asserts that the
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Integral: News from the Mathematics Department at MIT
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On Suborderings of Degrees of Recursive Insolvability
422:This article about an American mathematician is a 447: 8: 37:whose most important contributions were in 454: 440: 252:"Professor Gerald Sacks Retires from MIT" 33:(1933 – October 4, 2019) was an American 177: 139:, Princeton University Press 1963, 1966 165:Mathematical Logic in the 20th Century 70:Massachusetts Institute of Technology 7: 493:21st-century American mathematicians 488:20th-century American mathematicians 398: 396: 426:. You can help Knowledge (XXG) by 25: 99:. Among his notable students are 414: 407: 401: 1: 305:Mathematics Genealogy Project 185:Halbeisen, Lorenz J. (2011), 27:American logician (1933–2019) 518:American mathematician stubs 534: 503:Harvard University faculty 395: 483:Cornell University alumni 212:Soare, Robert I. (1987), 317:Degrees of unsolvability 137:Degrees of unsolvability 95:, with his dissertation 83:in 1933. He earned his 359:Higher recursion theory 241:, retrieved 2015-06-26. 167:, World Scientific 2003 161:, World Scientific 1999 153:Higher Recursion theory 149:, World Scientific 2010 91:under the direction of 473:Mathematical logicians 340:Saturated model theory 143:Saturated Model Theory 59:recursively enumerable 378:Selected logic papers 159:Selected Logic Papers 131:Selected publications 41:. Named after him is 478:American logicians 89:Cornell University 79:Sacks was born in 74:Harvard University 31:Gerald Enoch Sacks 435: 434: 145:, Benjamin 1972; 93:J. Barkley Rosser 16:(Redirected from 525: 456: 449: 442: 418: 413: 412: 411: 405: 397: 387: 380:by Dag Normann, 374: 368: 361:by Dag Normann, 355: 349: 342:by P. Stepanek, 336: 330: 313: 307: 298: 292: 274: 268: 266: 265:: 6, Autumn 2006 256: 248: 242: 236: 230: 228: 209: 203: 201: 182: 49:notion based on 39:recursion theory 21: 533: 532: 528: 527: 526: 524: 523: 522: 463: 462: 461: 460: 406: 400: 393: 391: 390: 375: 371: 356: 352: 337: 333: 314: 310: 299: 295: 275: 271: 254: 250: 249: 245: 237: 233: 226: 211: 210: 206: 199: 184: 183: 179: 174: 155:, Springer 1990 133: 125:Theodore Slaman 105:Harvey Friedman 28: 23: 22: 18:Gerald E. Sacks 15: 12: 11: 5: 531: 529: 521: 520: 515: 510: 505: 500: 495: 490: 485: 480: 475: 465: 464: 459: 458: 451: 444: 436: 433: 432: 419: 389: 388: 369: 350: 331: 308: 293: 269: 243: 231: 224: 204: 197: 176: 175: 173: 170: 169: 168: 162: 156: 150: 140: 132: 129: 113:Leo Harrington 62:Turing degrees 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 530: 519: 516: 514: 511: 509: 506: 504: 501: 499: 496: 494: 491: 489: 486: 484: 481: 479: 476: 474: 471: 470: 468: 457: 452: 450: 445: 443: 438: 437: 431: 429: 425: 420: 417: 410: 404: 399: 394: 386: 383: 379: 373: 370: 367: 364: 360: 354: 351: 348: 345: 341: 335: 332: 329: 326: 322: 321:Kenneth Appel 318: 312: 309: 306: 302: 297: 294: 291: 287: 283: 279: 273: 270: 264: 260: 253: 247: 244: 240: 235: 232: 227: 225:9783540152996 221: 217: 216: 208: 205: 200: 198:9781447121732 194: 190: 189: 181: 178: 171: 166: 163: 160: 157: 154: 151: 148: 144: 141: 138: 135: 134: 130: 128: 126: 122: 121:Steve Simpson 118: 117:Richard Shore 114: 110: 106: 102: 98: 94: 90: 87:in 1961 from 86: 82: 77: 75: 71: 67: 63: 60: 56: 55:partial order 52: 48: 44: 43:Sacks forcing 40: 36: 32: 19: 428:expanding it 421: 392: 377: 372: 358: 353: 339: 334: 316: 311: 301:Gerald Sacks 296: 277: 272: 262: 258: 246: 234: 214: 207: 187: 180: 164: 158: 152: 142: 96: 78: 51:perfect sets 30: 29: 513:2019 deaths 508:1933 births 147:2nd edition 109:Sy Friedman 101:Lenore Blum 467:Categories 376:Review of 357:Review of 338:Review of 315:Review of 286:3110275643 172:References 288:, 2015, 239:Short CV 81:Brooklyn 35:logician 385:1783306 366:1080970 347:0398817 328:0186554 303:at the 72:and at 57:of the 47:forcing 290:p. 275 284:  222:  195:  255:(PDF) 85:Ph.D. 66:dense 424:stub 282:ISBN 220:ISBN 193:ISBN 123:and 45:, a 319:by 64:is 469:: 382:MR 363:MR 344:MR 325:MR 323:, 280:, 261:, 257:, 127:. 119:, 115:, 111:, 107:, 103:, 455:e 448:t 441:v 430:. 267:. 263:1 229:. 202:. 20:)

Index

Gerald E. Sacks
logician
recursion theory
Sacks forcing
forcing
perfect sets
partial order
recursively enumerable
Turing degrees
dense
Massachusetts Institute of Technology
Harvard University
Brooklyn
Ph.D.
Cornell University
J. Barkley Rosser
Lenore Blum
Harvey Friedman
Sy Friedman
Leo Harrington
Richard Shore
Steve Simpson
Theodore Slaman
Degrees of unsolvability
2nd edition
Combinatorial Set Theory: With a Gentle Introduction to Forcing
ISBN
9781447121732
Recursively Enumerable Sets and Degrees: A Study of Computable Functions and Computably Generated Sets
ISBN

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