Knowledge (XXG)

Standard model (set theory)

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is the same as the membership relation ∈ of a set theoretical
191:
Chow, Timothy Y. (2007). "A beginner's guide to forcing".
231: 251: 8: 258: 244: 196: 174:Set theory and the continuum hypothesis 117:Usually, when one talks about a model 7: 212: 210: 230:. You can help Knowledge (XXG) by 121:of set theory, it is assumed that 14: 214: 49:where the membership relation ∈ 161:is necessarily a class model. 82:that satisfies the additional 1: 62:(restricted to the domain of 303: 209: 15: 108:standard transitive model 16:Not to be confused with 226:-related article is a 172:Cohen, P. J. (1966). 129:, i.e. the domain of 66:). In other words, 20:(particle physics). 176:. Addison–Wesley. 239: 238: 183:978-0-8053-2327-6 141:If the domain of 78:A standard model 294: 287:Set theory stubs 260: 253: 246: 218: 211: 202: 200: 187: 112:transitive model 302: 301: 297: 296: 295: 293: 292: 291: 267: 266: 265: 264: 207: 205: 190: 184: 171: 167: 86:condition that 54: 21: 12: 11: 5: 300: 298: 290: 289: 284: 279: 269: 268: 263: 262: 255: 248: 240: 237: 236: 219: 204: 203: 188: 182: 168: 166: 163: 50: 29:standard model 18:standard model 13: 10: 9: 6: 4: 3: 2: 299: 288: 285: 283: 280: 278: 275: 274: 272: 261: 256: 254: 249: 247: 242: 241: 235: 233: 229: 225: 220: 217: 213: 208: 199: 194: 189: 185: 179: 175: 170: 169: 164: 162: 160: 156: 152: 148: 144: 140: 136: 132: 128: 124: 120: 115: 113: 110:(or simply a 109: 105: 102: ∈  101: 97: 93: 90: ∈  89: 85: 81: 77: 73: 69: 65: 61: 58: 53: 48: 44: 41: 37: 34: 30: 26: 19: 282:Model theory 232:expanding it 221: 206: 173: 154: 150: 147:proper class 142: 138: 130: 126: 122: 118: 116: 111: 107: 103: 99: 95: 91: 87: 84:transitivity 79: 75: 72:substructure 67: 63: 59: 51: 46: 42: 35: 28: 22: 159:inner model 155:class model 277:Set theory 271:Categories 224:set theory 165:References 25:set theory 198:0712.1320 127:set model 98:implies 92:y ∈ 57:universe 149:, then 180:  94:  33:theory 31:for a 222:This 193:arXiv 157:. An 153:is a 145:is a 133:is a 125:is a 106:is a 70:is a 40:model 38:is a 228:stub 178:ISBN 45:for 27:, a 137:in 135:set 114:). 74:of 23:In 273:: 139:V. 76:V. 259:e 252:t 245:v 234:. 201:. 195:: 186:. 151:M 143:M 131:M 123:M 119:M 104:M 100:x 96:M 88:x 80:M 68:M 64:M 60:V 52:M 47:T 43:M 36:T

Index

standard model
set theory
theory
model
universe
substructure
transitivity
set
proper class
inner model
ISBN
978-0-8053-2327-6
arXiv
0712.1320
Stub icon
set theory
stub
expanding it
v
t
e
Categories
Set theory
Model theory
Set theory stubs

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