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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
173:(December 6, 1907 – September 5, 1989) was an American 445: 209:. Rosser also authored mathematical textbooks. 197:. He was part of the mathematics department at 310:for a complete list of Rosser's publications. 382: 301:, by J. Barkley Rosser, Academic Press, 1969 293:Highlights of the History of Lambda calculus 189:. He also developed what is now called the " 326: 324: 410: 267: 489:University of Wisconsin–Madison faculty 321: 207:Communications Research Division of IDA 446: 274:A mathematical logic without variables 474:20th-century American mathematicians 368:, September 19, 1989, archived from 218:Gödel's first incompleteness theorem 220:, showing that the requirement for 13: 249:September 5, 1989, at his home in 231:In prime number theory, he proved 14: 505: 464:People from Jacksonville, Florida 423: 339:University of Wisconsin, Madison 181:, and known for his part in the 412:10.1090/s0002-9904-1954-09798-7 341:, March 5, 1990, archived from 203:University of Wisconsin–Madison 125:University of Wisconsin–Madison 376: 352: 205:and the first director of the 1: 434:Mathematics Genealogy Project 314: 16:American logician (1907–1989) 7: 479:Princeton University alumni 84:Church–Rosser theorem 10: 510: 484:Cornell University faculty 164: 146: 134: 116: 102: 95: 79: 69: 50: 28: 21: 390:Logic for mathematicians 280:Logic for mathematicians 216:, a stronger version of 258:John Barkley Rosser Jr. 171:John Barkley Rosser Sr. 262:mathematical economist 399:Bull. Amer. Math. Soc 307:Barkley Rosser papers 268:Selected publications 240:Kleene–Rosser paradox 183:Church–Rosser theorem 88:Kleene–Rosser paradox 43:Jacksonville, Florida 74:Princeton University 372:on November 3, 2012 212:In 1936, he proved 23:John Barkley Rosser 469:American logicians 251:Madison, Wisconsin 245:Rosser died of an 199:Cornell University 121:Cornell University 107:Mathematical logic 62:Madison, Wisconsin 430:J. Barkley Rosser 168: 167: 155:Elliott Mendelson 151:George E. Collins 147:Doctoral students 97:Scientific career 54:September 5, 1989 501: 417: 416: 414: 396: 392:by J. B. Rosser" 380: 374: 373: 356: 350: 349: 347: 336: 328: 233:Rosser's theorem 136:Doctoral advisor 57: 39:December 6, 1907 38: 36: 19: 18: 509: 508: 504: 503: 502: 500: 499: 498: 444: 443: 426: 421: 420: 394: 381: 377: 365:Washington Post 358: 357: 353: 348:on June 8, 2011 345: 334: 330: 329: 322: 317: 270: 187:lambda calculus 177:, a student of 157: 153: 123: 109: 90: 86: 70:Alma mater 65: 59: 55: 46: 40: 34: 32: 24: 17: 12: 11: 5: 507: 497: 496: 491: 486: 481: 476: 471: 466: 461: 456: 442: 441: 436: 425: 424:External links 422: 419: 418: 405:(3): 266–272. 375: 351: 319: 318: 316: 313: 312: 311: 302: 296: 290: 277: 269: 266: 256:Rosser's son, 214:Rosser's trick 166: 165: 162: 161: 148: 144: 143: 138: 132: 131: 118: 114: 113: 104: 100: 99: 93: 92: 91:Rosser's sieve 81: 80:Known for 77: 76: 71: 67: 66: 60: 58:(aged 81) 52: 48: 47: 41: 30: 26: 25: 22: 15: 9: 6: 4: 3: 2: 506: 495: 492: 490: 487: 485: 482: 480: 477: 475: 472: 470: 467: 465: 462: 460: 457: 455: 452: 451: 449: 440: 437: 435: 431: 428: 427: 413: 408: 404: 400: 393: 391: 385: 379: 371: 367: 366: 361: 355: 344: 340: 333: 327: 325: 320: 309: 308: 303: 300: 297: 294: 291: 289: 288:0-8284-0294-9 285: 281: 278: 275: 272: 271: 265: 263: 259: 254: 252: 248: 243: 241: 236: 234: 229: 227: 223: 222:ω-consistency 219: 215: 210: 208: 204: 200: 196: 195:number theory 192: 188: 184: 180: 179:Alonzo Church 176: 172: 163: 160: 156: 152: 149: 145: 142: 141:Alonzo Church 139: 137: 133: 130: 126: 122: 119: 115: 112: 111:Number theory 108: 105: 101: 98: 94: 89: 85: 82: 78: 75: 72: 68: 63: 53: 49: 44: 31: 27: 20: 402: 398: 389: 384:Curry, H. B. 378: 370:the original 363: 354: 343:the original 338: 306: 298: 292: 279: 273: 255: 244: 237: 230: 226:liar paradox 211: 191:Rosser sieve 170: 169: 159:Gerald Sacks 117:Institutions 96: 56:(1989-09-05) 459:1989 deaths 454:1907 births 448:Categories 315:References 35:1907-12-06 388:"Review: 386:(1954). 360:"Deaths" 260:, was a 247:aneurysm 175:logician 432:at the 129:IDA/CRD 286:  103:Fields 64:, U.S. 45:, U.S. 395:(PDF) 346:(PDF) 335:(PDF) 193:" in 304:See 284:ISBN 238:The 51:Died 29:Born 407:doi 185:in 450:: 403:60 401:. 397:. 362:, 337:, 323:^ 253:. 235:. 127:, 415:. 409:: 37:) 33:(

Index

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
Kleene–Rosser paradox

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