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J. Barkley Rosser

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sentence equivalent to "I am not provable," he used a sentence that stated "For every proof of me, there is a shorter proof of my negation".
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from 1936 to 1963, chairing it several times. He was later director of the Army Mathematics Research Center at the
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by John Barkley Rosser, Univ. Diss. Princeton, NJ 1934, p. 127–150, 328–355
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by John B. Rosser, McGraw-Hill 1953; 2nd ed., Chelsea Publ. Co. 1978, 578 p.,
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Interview with Rosser and Stephen Kleene about their experiences at Princeton
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and professor at James Madison University in Harrisonburg, Virginia.
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Simplified Independence Proofs: Boolean Valued Models of Set Theory
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Presidents of the Society for Industrial and Applied Mathematics
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showed that the original lambda calculus was inconsistent.
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may be weakened to consistency. Rather than using the
184:(December 6, 1907 – September 5, 1989) was an American 456: 220:. Rosser also authored mathematical textbooks. 208:. He was part of the mathematics department at 321:for a complete list of Rosser's publications. 393: 312:, by J. Barkley Rosser, Academic Press, 1969 304:Highlights of the History of Lambda calculus 200:. He also developed what is now called the " 337: 335: 421: 278: 500:University of Wisconsin–Madison faculty 332: 218:Communications Research Division of IDA 14: 457: 285:A mathematical logic without variables 485:20th-century American mathematicians 379:, September 19, 1989, archived from 229:Gödel's first incompleteness theorem 231:, showing that the requirement for 24: 260:September 5, 1989, at his home in 242:In prime number theory, he proved 25: 516: 475:People from Jacksonville, Florida 434: 350:University of Wisconsin, Madison 192:, and known for his part in the 423:10.1090/s0002-9904-1954-09798-7 352:, March 5, 1990, archived from 214:University of Wisconsin–Madison 136:University of Wisconsin–Madison 387: 363: 216:and the first director of the 13: 1: 445:Mathematics Genealogy Project 325: 27:American logician (1907–1989) 7: 490:Princeton University alumni 95:Church–Rosser theorem 10: 521: 495:Cornell University faculty 175: 157: 145: 127: 113: 106: 90: 80: 61: 39: 32: 401:Logic for mathematicians 291:Logic for mathematicians 227:, a stronger version of 269:John Barkley Rosser Jr. 182:John Barkley Rosser Sr. 273:mathematical economist 410:Bull. Amer. Math. Soc 318:Barkley Rosser papers 279:Selected publications 251:Kleene–Rosser paradox 194:Church–Rosser theorem 99:Kleene–Rosser paradox 54:Jacksonville, Florida 85:Princeton University 383:on November 3, 2012 223:In 1936, he proved 34:John Barkley Rosser 480:American logicians 262:Madison, Wisconsin 256:Rosser died of an 210:Cornell University 132:Cornell University 118:Mathematical logic 73:Madison, Wisconsin 441:J. Barkley Rosser 179: 178: 166:Elliott Mendelson 162:George E. Collins 158:Doctoral students 108:Scientific career 65:September 5, 1989 16:(Redirected from 512: 428: 427: 425: 407: 403:by J. B. Rosser" 391: 385: 384: 367: 361: 360: 358: 347: 339: 244:Rosser's theorem 147:Doctoral advisor 68: 50:December 6, 1907 49: 47: 30: 29: 21: 520: 519: 515: 514: 513: 511: 510: 509: 455: 454: 437: 432: 431: 405: 392: 388: 376:Washington Post 369: 368: 364: 359:on June 8, 2011 356: 345: 341: 340: 333: 328: 281: 198:lambda calculus 188:, a student of 168: 164: 134: 120: 101: 97: 81:Alma mater 76: 70: 66: 57: 51: 45: 43: 35: 28: 23: 22: 15: 12: 11: 5: 518: 508: 507: 502: 497: 492: 487: 482: 477: 472: 467: 453: 452: 447: 436: 435:External links 433: 430: 429: 416:(3): 266–272. 386: 362: 330: 329: 327: 324: 323: 322: 313: 307: 301: 288: 280: 277: 267:Rosser's son, 225:Rosser's trick 177: 176: 173: 172: 159: 155: 154: 149: 143: 142: 129: 125: 124: 115: 111: 110: 104: 103: 102:Rosser's sieve 92: 91:Known for 88: 87: 82: 78: 77: 71: 69:(aged 81) 63: 59: 58: 52: 41: 37: 36: 33: 26: 9: 6: 4: 3: 2: 517: 506: 503: 501: 498: 496: 493: 491: 488: 486: 483: 481: 478: 476: 473: 471: 468: 466: 463: 462: 460: 451: 448: 446: 442: 439: 438: 424: 419: 415: 411: 404: 402: 396: 390: 382: 378: 377: 372: 366: 355: 351: 344: 338: 336: 331: 320: 319: 314: 311: 308: 305: 302: 300: 299:0-8284-0294-9 296: 292: 289: 286: 283: 282: 276: 274: 270: 265: 263: 259: 254: 252: 247: 245: 240: 238: 234: 233:ω-consistency 230: 226: 221: 219: 215: 211: 207: 206:number theory 203: 199: 195: 191: 190:Alonzo Church 187: 183: 174: 171: 167: 163: 160: 156: 153: 152:Alonzo Church 150: 148: 144: 141: 137: 133: 130: 126: 123: 122:Number theory 119: 116: 112: 109: 105: 100: 96: 93: 89: 86: 83: 79: 74: 64: 60: 55: 42: 38: 31: 19: 413: 409: 400: 395:Curry, H. B. 389: 381:the original 374: 365: 354:the original 349: 317: 309: 303: 290: 284: 266: 255: 248: 241: 237:liar paradox 222: 202:Rosser sieve 181: 180: 170:Gerald Sacks 128:Institutions 107: 67:(1989-09-05) 18:J. B. Rosser 470:1989 deaths 465:1907 births 459:Categories 326:References 46:1907-12-06 399:"Review: 397:(1954). 371:"Deaths" 271:, was a 258:aneurysm 186:logician 443:at the 140:IDA/CRD 297:  114:Fields 75:, U.S. 56:, U.S. 406:(PDF) 357:(PDF) 346:(PDF) 204:" in 315:See 295:ISBN 249:The 62:Died 40:Born 418:doi 196:in 461:: 414:60 412:. 408:. 373:, 348:, 334:^ 264:. 246:. 138:, 426:. 420:: 48:) 44:( 20:)

Index

J. B. Rosser
Jacksonville, Florida
Madison, Wisconsin
Princeton University
Church–Rosser theorem
Kleene–Rosser paradox
Mathematical logic
Number theory
Cornell University
University of Wisconsin–Madison
IDA/CRD
Doctoral advisor
Alonzo Church
George E. Collins
Elliott Mendelson
Gerald Sacks
logician
Alonzo Church
Church–Rosser theorem
lambda calculus
Rosser sieve
number theory
Cornell University
University of Wisconsin–Madison
Communications Research Division of IDA
Rosser's trick
Gödel's first incompleteness theorem
ω-consistency
liar paradox
Rosser's theorem

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