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
411:This article about an American mathematician is a 436: 8: 26:whose most important contributions were in 443: 429: 241:"Professor Gerald Sacks Retires from MIT" 22:(1933 – October 4, 2019) was an American 166: 128:, Princeton University Press 1963, 1966 154:Mathematical Logic in the 20th Century 59:Massachusetts Institute of Technology 7: 482:21st-century American mathematicians 477:20th-century American mathematicians 387: 385: 415:. You can help Knowledge (XXG) by 14: 88:. Among his notable students are 403: 396: 390: 1: 294:Mathematics Genealogy Project 174:Halbeisen, Lorenz J. (2011), 16:American logician (1933–2019) 507:American mathematician stubs 523: 492:Harvard University faculty 384: 472:Cornell University alumni 201:Soare, Robert I. (1987), 306:Degrees of unsolvability 126:Degrees of unsolvability 84:, with his dissertation 72:in 1933. He earned his 348:Higher recursion theory 230:, retrieved 2015-06-26. 156:, World Scientific 2003 150:, World Scientific 1999 142:Higher Recursion theory 138:, World Scientific 2010 80:under the direction of 462:Mathematical logicians 329:Saturated model theory 132:Saturated Model Theory 48:recursively enumerable 367:Selected logic papers 148:Selected Logic Papers 120:Selected publications 30:. Named after him is 467:American logicians 78:Cornell University 68:Sacks was born in 63:Harvard University 20:Gerald Enoch Sacks 424: 423: 134:, Benjamin 1972; 82:J. Barkley Rosser 514: 445: 438: 431: 407: 402: 401: 400: 394: 386: 376: 369:by Dag Normann, 363: 357: 350:by Dag Normann, 344: 338: 331:by P. Stepanek, 325: 319: 302: 296: 287: 281: 263: 257: 255: 254:: 6, Autumn 2006 245: 237: 231: 225: 219: 217: 198: 192: 190: 171: 38:notion based on 28:recursion theory 522: 521: 517: 516: 515: 513: 512: 511: 452: 451: 450: 449: 395: 389: 382: 380: 379: 364: 360: 345: 341: 326: 322: 303: 299: 288: 284: 264: 260: 243: 239: 238: 234: 226: 222: 215: 200: 199: 195: 188: 173: 172: 168: 163: 144:, Springer 1990 122: 114:Theodore Slaman 94:Harvey Friedman 17: 12: 11: 5: 520: 518: 510: 509: 504: 499: 494: 489: 484: 479: 474: 469: 464: 454: 453: 448: 447: 440: 433: 425: 422: 421: 408: 378: 377: 358: 339: 320: 297: 282: 258: 232: 220: 213: 193: 186: 165: 164: 162: 159: 158: 157: 151: 145: 139: 129: 121: 118: 102:Leo Harrington 51:Turing degrees 15: 13: 10: 9: 6: 4: 3: 2: 519: 508: 505: 503: 500: 498: 495: 493: 490: 488: 485: 483: 480: 478: 475: 473: 470: 468: 465: 463: 460: 459: 457: 446: 441: 439: 434: 432: 427: 426: 420: 418: 414: 409: 406: 399: 393: 388: 383: 375: 372: 368: 362: 359: 356: 353: 349: 343: 340: 337: 334: 330: 324: 321: 318: 315: 311: 310:Kenneth Appel 307: 301: 298: 295: 291: 286: 283: 280: 276: 272: 268: 262: 259: 253: 249: 242: 236: 233: 229: 224: 221: 216: 214:9783540152996 210: 206: 205: 197: 194: 189: 187:9781447121732 183: 179: 178: 170: 167: 160: 155: 152: 149: 146: 143: 140: 137: 133: 130: 127: 124: 123: 119: 117: 115: 111: 110:Steve Simpson 107: 106:Richard Shore 103: 99: 95: 91: 87: 83: 79: 76:in 1961 from 75: 71: 66: 64: 60: 56: 52: 49: 45: 44:partial order 41: 37: 33: 32:Sacks forcing 29: 25: 21: 417:expanding it 410: 381: 366: 361: 347: 342: 328: 323: 305: 300: 290:Gerald Sacks 285: 266: 261: 251: 247: 235: 223: 203: 196: 176: 169: 153: 147: 141: 131: 85: 67: 40:perfect sets 19: 18: 502:2019 deaths 497:1933 births 136:2nd edition 98:Sy Friedman 90:Lenore Blum 456:Categories 365:Review of 346:Review of 327:Review of 304:Review of 275:3110275643 161:References 277:, 2015, 228:Short CV 70:Brooklyn 24:logician 374:1783306 355:1080970 336:0398817 317:0186554 292:at the 61:and at 46:of the 36:forcing 279:p. 275 273:  211:  184:  244:(PDF) 74:Ph.D. 55:dense 413:stub 271:ISBN 209:ISBN 182:ISBN 112:and 34:, a 308:by 53:is 458:: 371:MR 352:MR 333:MR 314:MR 312:, 269:, 250:, 246:, 116:. 108:, 104:, 100:, 96:, 92:, 444:e 437:t 430:v 419:. 256:. 252:1 218:. 191:.

Index

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
9783540152996

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