Knowledge (XXG)

Category:Large cardinals

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The following 55 pages are in this category, out of 55 total.
8: 37:This list may not reflect recent changes 175:Homogeneous (large cardinal property) 7: 32:Pages in category "Large cardinals" 238:Kunen's inconsistency theorem 41: 29: 14: 61:List of large cardinal properties 78:Axiom of projective determinacy 1: 107:Critical point (set theory) 517: 165:Hereditarily countable set 16:The main article for this 15: 372:Strongly compact cardinal 428:Vopěnka's principle 277:Moschovakis coding lemma 440:Weakly compact cardinal 197:Indescribable cardinal 387:Supercompact cardinal 302:Quasicompact cardinal 192:Inaccessible cardinal 153:Grothendieck universe 136:Extender (set theory) 392:Superstrong cardinal 73:Axiom of determinacy 416:Unfoldable cardinal 377:Subcompact cardinal 335:Remarkable cardinal 325:Reflecting cardinal 267:Measurable cardinal 170:The Higher Infinite 141:Extendible cardinal 340:Rowbottom cardinal 330:Reinhardt cardinal 209:Ineffable cardinal 214:Iterable cardinal 203:Indestructibility 130:Ethereal cardinal 90:Berkeley cardinal 508: 491:Cardinal numbers 455:Worldly cardinal 304: 226:Jónsson cardinal 205: 132: 516: 515: 511: 510: 509: 507: 506: 505: 481: 480: 479: 478: 477: 476: 459: 450:Woodin cardinal 445:Wholeness axiom 432: 420: 408: 396: 382:Subtle cardinal 367:Strong cardinal 357:Shrewd cardinal 352:Shelah cardinal 344: 315:Ramsey cardinal 307: 300: 293: 281: 254: 242: 230: 218: 201: 184: 157: 145: 128: 119:Equiconsistency 111: 94: 82: 65: 53: 28: 27: 12: 11: 5: 514: 512: 504: 503: 498: 493: 483: 482: 475: 474: 469: 463: 460: 458: 457: 452: 447: 442: 436: 433: 431: 430: 424: 421: 419: 418: 412: 409: 407: 406: 400: 397: 395: 394: 389: 384: 379: 374: 369: 364: 359: 354: 348: 345: 343: 342: 337: 332: 327: 322: 320:Rank-into-rank 317: 311: 308: 306: 305: 297: 294: 292: 291: 289:Normal measure 285: 282: 280: 279: 274: 272:Mitchell order 269: 264: 262:Mahlo cardinal 258: 255: 253: 252: 250:Laver function 246: 243: 241: 240: 234: 231: 229: 228: 222: 219: 217: 216: 211: 206: 199: 194: 188: 185: 183: 182: 177: 172: 167: 161: 158: 156: 155: 149: 146: 144: 143: 138: 133: 126: 124:Erdős cardinal 121: 115: 112: 110: 109: 104: 98: 95: 93: 92: 86: 83: 81: 80: 75: 69: 66: 64: 63: 57: 54: 52: 51: 49:Large cardinal 45: 43: 42: 33: 30: 23:Large cardinal 13: 10: 9: 6: 4: 3: 2: 513: 502: 499: 497: 496:Large numbers 494: 492: 489: 488: 486: 473: 470: 468: 465: 464: 461: 456: 453: 451: 448: 446: 443: 441: 438: 437: 434: 429: 426: 425: 422: 417: 414: 413: 410: 405: 404:Tall cardinal 402: 401: 398: 393: 390: 388: 385: 383: 380: 378: 375: 373: 370: 368: 365: 363: 362:Solovay model 360: 358: 355: 353: 350: 349: 346: 341: 338: 336: 333: 331: 328: 326: 323: 321: 318: 316: 313: 312: 309: 303: 299: 298: 295: 290: 287: 286: 283: 278: 275: 273: 270: 268: 265: 263: 260: 259: 256: 251: 248: 247: 244: 239: 236: 235: 232: 227: 224: 223: 220: 215: 212: 210: 207: 204: 200: 198: 195: 193: 190: 189: 186: 181: 180:Huge cardinal 178: 176: 173: 171: 168: 166: 163: 162: 159: 154: 151: 150: 147: 142: 139: 137: 134: 131: 127: 125: 122: 120: 117: 116: 113: 108: 105: 103: 100: 99: 96: 91: 88: 87: 84: 79: 76: 74: 71: 70: 67: 62: 59: 58: 55: 50: 47: 46: 44: 40: 38: 31: 25: 24: 19: 34: 21: 467:Zero dagger 485:Categories 472:Zero sharp 102:Core model 501:Infinity 18:category 20:is 487:: 39:. 462:Z 435:W 423:V 411:U 399:T 347:S 310:R 296:Q 284:N 257:M 245:L 233:K 221:J 187:I 160:H 148:G 114:E 97:C 85:B 68:A 56:* 26:.

Index

category
Large cardinal
This list may not reflect recent changes
Large cardinal
List of large cardinal properties
Axiom of determinacy
Axiom of projective determinacy
Berkeley cardinal
Core model
Critical point (set theory)
Equiconsistency
Erdős cardinal
Ethereal cardinal
Extender (set theory)
Extendible cardinal
Grothendieck universe
Hereditarily countable set
The Higher Infinite
Homogeneous (large cardinal property)
Huge cardinal
Inaccessible cardinal
Indescribable cardinal
Indestructibility
Ineffable cardinal
Iterable cardinal
Jónsson cardinal
Kunen's inconsistency theorem
Laver function
Mahlo cardinal
Measurable cardinal

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