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Principles of Mathematical Logic

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310: 41:(FOL). Hilbert and Ackermann also formalized FOL in a way that subsequently achieved canonical status. FOL is now a core formalism of mathematical logic, and is presupposed by contemporary treatments of 64:(i.e., whether all semantic truths of FOL were theorems derivable from the FOL axioms and rules). The former problem was answered in the negative first by 351: 148:
The translation of the 1938 2nd German edition into English was published in 1950, while the 3rd German edition was published in 1949.
61: 294: 267: 162: 118: 380: 375: 390: 297:. Proceedings of a workshop, FOL-75, commemorating the 75th anniversary of the publication of Hilbert and Ackermann (1928). 205: 37:. The 1928 first edition thereof is considered the first elementary text clearly grounded in the formalism now known as 395: 344: 201: 93: 385: 370: 84: 53: 46: 337: 91:(page 145). Contemporary notation for logic owes more to this text than it does to the notation of 34: 290: 263: 251: 158: 38: 26: 321: 224: 181: 137: 57: 42: 364: 247: 114: 73: 65: 22: 229: 186: 142: 280: 88: 275: 69: 80: 273:
Translators: Lewis M. Hammond, George G. Leckie & F. Steinhardt (1999)
309: 270:. This text went into four subsequent German editions, the last in 1972. 285:
Hendricks, Neuhaus, Petersen, Scheffler and Wansing (eds.) (2004).
317: 21:
is the 1950 American translation of the 1938 second edition of
325: 72:in 1936. The latter was answered affirmatively by 52:The 1928 edition included a clear statement of the 60:) for FOL, and also asked whether that logic was 97:, long popular in the English speaking world. 345: 8: 352: 338: 228: 185: 141: 106: 7: 306: 304: 324:. You can help Knowledge (XXG) by 14: 256:Grundzüge der theoretischen Logik 208:Grundzüge der theoretischen Logik 165:Grundzüge der theoretischen Logik 121:Grundzüge der theoretischen Logik 31:Grundzüge der theoretischen Logik 308: 276:Principles of Mathematical Logic 260:Principles of Mathematical Logic 18:Principles of Mathematical Logic 230:10.1090/s0002-9904-1930-04859-4 210:by D. Hilbert and W. Ackermann" 187:10.1090/s0002-9904-1938-06760-2 143:10.1090/s0002-9904-1953-09701-4 1: 45:and nearly all treatments of 287:First-order logic revisited 412: 303: 381:1938 non-fiction books 376:1928 non-fiction books 320:-related article is a 79:In its description of 391:Mathematics textbooks 217:Bull. Amer. Math. Soc 174:Bull. Amer. Math. Soc 130:Bull. Amer. Math. Soc 94:Principia Mathematica 83:, mention is made of 68:and independently by 262:). Springer-Verlag, 54:Entscheidungsproblem 47:axiomatic set theory 35:mathematical logic 333: 332: 289:. Logos Verlag, 252:Wilhelm Ackermann 115:Curry, Haskell B. 85:Russell's paradox 39:first-order logic 33:, on elementary 27:Wilhelm Ackermann 403: 396:History of logic 354: 347: 340: 312: 305: 235: 234: 232: 214: 198: 192: 191: 189: 171: 155: 149: 147: 145: 127: 111: 58:decision problem 43:Peano arithmetic 29:'s classic text 411: 410: 406: 405: 404: 402: 401: 400: 361: 360: 359: 358: 301: 244: 239: 238: 212: 200: 199: 195: 169: 159:Rosser, Barkley 157: 156: 152: 125: 113: 112: 108: 103: 12: 11: 5: 409: 407: 399: 398: 393: 388: 383: 378: 373: 363: 362: 357: 356: 349: 342: 334: 331: 330: 313: 299: 298: 283: 271: 243: 240: 237: 236: 202:Langford, C. H 193: 180:(7): 474–475. 167:(2nd edition)" 150: 136:(3): 263–267. 123:(3rd edition)" 105: 104: 102: 99: 13: 10: 9: 6: 4: 3: 2: 408: 397: 394: 392: 389: 387: 384: 382: 379: 377: 374: 372: 369: 368: 366: 355: 350: 348: 343: 341: 336: 335: 329: 327: 323: 319: 314: 311: 307: 302: 296: 295:3-8325-0475-3 292: 288: 284: 282: 278: 277: 272: 269: 268:0-8218-2024-9 265: 261: 257: 253: 249: 248:David Hilbert 246: 245: 241: 231: 226: 222: 218: 211: 209: 203: 197: 194: 188: 183: 179: 175: 168: 166: 160: 154: 151: 144: 139: 135: 131: 124: 122: 116: 110: 107: 100: 98: 96: 95: 90: 86: 82: 77: 75: 71: 67: 66:Alonzo Church 63: 59: 55: 50: 48: 44: 40: 36: 32: 28: 24: 23:David Hilbert 20: 19: 326:expanding it 315: 300: 286: 281:Google Books 274: 259: 255: 223:(1): 22–25. 220: 216: 207: 196: 177: 173: 164: 153: 133: 129: 120: 109: 92: 89:Liar paradox 78: 51: 30: 17: 16: 15: 386:Logic books 371:Logic stubs 206:"Review of 70:Alan Turing 365:Categories 242:References 81:set theory 74:Kurt Gödel 163:"Review: 119:"Review: 76:in 1929. 254:(1928). 204:(1930). 161:(1938). 117:(1953). 87:and the 62:complete 25:'s and 293:  266:  318:logic 316:This 213:(PDF) 170:(PDF) 126:(PDF) 101:Notes 322:stub 291:ISBN 264:ISBN 250:and 279:at 225:doi 182:doi 138:doi 367:: 221:36 219:. 215:. 178:44 176:. 172:. 134:59 132:. 128:. 49:. 353:e 346:t 339:v 328:. 258:( 233:. 227:: 190:. 184:: 146:. 140:: 56:(

Index

David Hilbert
Wilhelm Ackermann
mathematical logic
first-order logic
Peano arithmetic
axiomatic set theory
Entscheidungsproblem
decision problem
complete
Alonzo Church
Alan Turing
Kurt Gödel
set theory
Russell's paradox
Liar paradox
Principia Mathematica
Curry, Haskell B.
"Review: Grundzüge der theoretischen Logik (3rd edition)"
doi
10.1090/s0002-9904-1953-09701-4
Rosser, Barkley
"Review: Grundzüge der theoretischen Logik (2nd edition)"
doi
10.1090/s0002-9904-1938-06760-2
Langford, C. H
"Review of Grundzüge der theoretischen Logik by D. Hilbert and W. Ackermann"
doi
10.1090/s0002-9904-1930-04859-4
David Hilbert
Wilhelm Ackermann

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