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List of Boolean algebra topics

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1172: 419: 531: 204: 748: 528: 244: 753: 1923: 1880: 335: 113: 1863: 1393: 1229: 1196: 332: 1710: 110: 828: 701: 1913: 957: 384: 236: 92: 1846: 1705: 1106: 1700: 1190: 756: 482: 416: 321: 43: 1336: 782: 272: 698: 412: 99: 1737: 1657: 705: 587: 381: 307: 265: 148: 89: 1522: 1451: 1331: 687: 517: 433: 426: 349: 162: 141: 134: 50: 1425: 1413: 1376: 1351: 1326: 1280: 1249: 1186: 601: 559: 510: 479: 318: 218: 71: 40: 1722: 1356: 1346: 1222: 1137: 573: 405: 269: 169: 1695: 1361: 1116: 1041: 823: 694: 409: 342: 286: 279: 232: 96: 1918: 1627: 1254: 1014: 584: 503: 489: 304: 262: 197: 183: 176: 145: 1875: 1858: 1098: 713: 684: 552: 514: 454: 430: 423: 388: 346: 251: 159: 138: 131: 64: 1787: 1403: 622: 598: 563: 556: 507: 496: 370: 363: 225: 215: 68: 1765: 1600: 1591: 1460: 1341: 1295: 1259: 1215: 1152: 680: 615: 570: 468: 402: 314: 190: 166: 120: 1853: 1812: 1802: 1792: 1537: 1500: 1490: 1470: 1455: 1071: 917: 691: 524: 377: 339: 283: 276: 229: 36: 8: 1780: 1691: 1637: 1596: 1586: 1475: 1408: 1371: 1026: 1009: 989: 952: 901: 896: 838: 775: 730: 566: 500: 486: 300: 258: 194: 180: 173: 127: 1892: 1819: 1672: 1581: 1571: 1512: 1430: 1366: 962: 891: 848: 744: 737: 710: 638: 549: 451: 440: 248: 106: 61: 57: 1732: 1928: 1829: 1807: 1667: 1652: 1632: 1435: 1176: 1147: 1142: 1132: 1066: 994: 879: 666: 659: 631: 619: 545: 493: 391: 367: 360: 222: 155: 1642: 1495: 1081: 807: 802: 677: 652: 612: 465: 311: 211: 201: 187: 117: 1824: 1607: 1485: 1480: 1465: 1381: 1290: 1275: 927: 869: 521: 461: 374: 47: 33: 1742: 1727: 1717: 1576: 1554: 1532: 1181: 874: 853: 768: 727: 608: 580: 297: 255: 124: 1907: 1841: 1797: 1775: 1647: 1517: 1505: 1310: 1031: 972: 741: 734: 635: 437: 103: 54: 1662: 1544: 1527: 1445: 1285: 1238: 1021: 843: 663: 656: 627: 542: 241: 152: 85: 1868: 1561: 1440: 1305: 1056: 1051: 1004: 649: 208: 1836: 1770: 1611: 999: 967: 932: 458: 719:, but that term is used in probability theory for a different concept) 1887: 1760: 1566: 1061: 922: 833: 605: 577: 1682: 1549: 1300: 982: 1046: 977: 722: 82: 1207: 884: 27: 1076: 791: 1036: 760: 354: 76: 529:
Stone's representation theorem for Boolean algebras
326: 1905: 291: 1223: 776: 473: 28:Articles with a wide scope and introductions 1881:Positive cone of a partially ordered group 1230: 1216: 783: 769: 445: 1864:Positive cone of an ordered vector space 1906: 1211: 764: 333:Derivative algebra (abstract algebra) 111:Boolean algebras canonically defined 958:Analytic and synthetic propositions 829:Formal semantics (natural language) 355:Generalizations of Boolean algebras 13: 1391:Properties & Types ( 723:Espresso heuristic logic minimizer 237:Minimal axioms for Boolean algebra 14: 1940: 1924:Outlines of mathematics and logic 1847:Positive cone of an ordered field 77:Boolean functions and connectives 1701:Ordered topological vector space 1237: 1170: 643: 417:Canonical form (Boolean algebra) 16:This is a list of topics around 671: 699:Boolean satisfiability problem 327:Extensions of Boolean algebras 1: 1658:Series-parallel partial order 706:Boolean differential calculus 592: 90:Analysis of Boolean functions 1337:Cantor's isomorphism theorem 292:Examples of Boolean algebras 7: 1377:Szpilrajn extension theorem 1352:Hausdorff maximal principle 1327:Boolean prime ideal theorem 754:Topological Boolean algebra 480:Boolean prime ideal theorem 319:Two-element Boolean algebra 41:Boolean algebra (structure) 10: 1947: 1723:Topological vector lattice 474:Theorems and specific laws 270:Symmetric Boolean function 1914:Mathematics-related lists 1753: 1681: 1620: 1390: 1319: 1268: 1245: 1165: 1125: 1097: 1090: 1042:Necessity and sufficiency 945: 910: 862: 816: 798: 790: 585:Zhegalkin, Ivan Ivanovich 536: 410:Boolean conjunctive query 396: 382:Lindenbaum–Tarski algebra 97:Balanced Boolean function 1332:Cantor–Bernstein theorem 305:Complete Boolean algebra 263:Sole sufficient operator 146:Evasive Boolean function 1876:Partially ordered group 1696:Specialization preorder 717:characteristic function 685:Boolean-valued function 564:Peirce, Charles Sanders 557:Jevons, William Stanley 515:Laws of classical logic 431:Disjunctive normal form 424:Conjunctive normal form 347:Monadic Boolean algebra 160:Functional completeness 139:Conditioned disjunction 132:Boolean-valued function 1362:Kruskal's tree theorem 1357:Knaster–Tarski theorem 1347:Dushnik–Miller theorem 571:Stone, Marshall Harvey 508:Duality (order theory) 446:Technical applications 216:Lupanov representation 69:Propositional calculus 1177:Philosophy portal 403:Algebraic normal form 167:Logical biconditional 1854:Ordered vector space 692:Boolean-valued model 389:Skew Boolean algebra 340:Free Boolean algebra 284:Zhegalkin polynomial 277:Symmetric difference 230:Material conditional 1692:Alexandrov topology 1638:Lexicographic order 1597:Well-quasi-ordering 839:Philosophy of logic 599:Boole's syllogistic 550:De Morgan, Augustus 487:Compactness theorem 195:Logical implication 181:Logical disjunction 174:Logical conjunction 22:propositional logic 1673:Transitive closure 1633:Converse/Transpose 1342:Dilworth's theorem 1138:Rules of inference 1107:Mathematical logic 849:Semantics of logic 711:Indicator function 452:And-inverter graph 249:Read-once function 62:Logical connective 1901: 1900: 1859:Partially ordered 1668:Symmetric closure 1653:Reflexive closure 1396: 1205: 1204: 1161: 1160: 995:Deductive closure 941: 940: 880:Critical thinking 715:(also called the 620:Existential graph 606:Boolean implicant 494:Consensus theorem 368:First-order logic 361:De Morgan algebra 223:Majority function 1936: 1643:Linear extension 1392: 1372:Mirsky's theorem 1232: 1225: 1218: 1209: 1208: 1175: 1174: 1173: 1095: 1094: 860: 859: 824:Computer science 785: 778: 771: 762: 761: 678:Boolean function 613:Entitative graph 501:De Morgan's laws 466:Boolean analysis 312:Interior algebra 202:Logical negation 188:Logical equality 118:Boolean function 1946: 1945: 1939: 1938: 1937: 1935: 1934: 1933: 1919:Boolean algebra 1904: 1903: 1902: 1897: 1893:Young's lattice 1749: 1677: 1616: 1466:Heyting algebra 1414:Boolean algebra 1386: 1367:Laver's theorem 1315: 1281:Boolean algebra 1276:Binary relation 1264: 1241: 1236: 1206: 1201: 1171: 1169: 1157: 1121: 1112:Boolean algebra 1086: 937: 928:Metamathematics 906: 858: 812: 794: 789: 674: 646: 595: 539: 476: 448: 399: 375:Heyting algebra 357: 329: 294: 79: 48:Boolean algebra 34:Algebra of sets 30: 18:Boolean algebra 12: 11: 5: 1944: 1943: 1932: 1931: 1926: 1921: 1916: 1899: 1898: 1896: 1895: 1890: 1885: 1884: 1883: 1873: 1872: 1871: 1866: 1861: 1851: 1850: 1849: 1839: 1834: 1833: 1832: 1827: 1820:Order morphism 1817: 1816: 1815: 1805: 1800: 1795: 1790: 1785: 1784: 1783: 1773: 1768: 1763: 1757: 1755: 1751: 1750: 1748: 1747: 1746: 1745: 1740: 1738:Locally convex 1735: 1730: 1720: 1718:Order topology 1715: 1714: 1713: 1711:Order topology 1708: 1698: 1688: 1686: 1679: 1678: 1676: 1675: 1670: 1665: 1660: 1655: 1650: 1645: 1640: 1635: 1630: 1624: 1622: 1618: 1617: 1615: 1614: 1604: 1594: 1589: 1584: 1579: 1574: 1569: 1564: 1559: 1558: 1557: 1547: 1542: 1541: 1540: 1535: 1530: 1525: 1523:Chain-complete 1515: 1510: 1509: 1508: 1503: 1498: 1493: 1488: 1478: 1473: 1468: 1463: 1458: 1448: 1443: 1438: 1433: 1428: 1423: 1422: 1421: 1411: 1406: 1400: 1398: 1388: 1387: 1385: 1384: 1379: 1374: 1369: 1364: 1359: 1354: 1349: 1344: 1339: 1334: 1329: 1323: 1321: 1317: 1316: 1314: 1313: 1308: 1303: 1298: 1293: 1288: 1283: 1278: 1272: 1270: 1266: 1265: 1263: 1262: 1257: 1252: 1246: 1243: 1242: 1235: 1234: 1227: 1220: 1212: 1203: 1202: 1200: 1199: 1194: 1184: 1179: 1166: 1163: 1162: 1159: 1158: 1156: 1155: 1150: 1145: 1140: 1135: 1129: 1127: 1123: 1122: 1120: 1119: 1114: 1109: 1103: 1101: 1092: 1088: 1087: 1085: 1084: 1079: 1074: 1069: 1064: 1059: 1054: 1049: 1044: 1039: 1034: 1029: 1024: 1019: 1018: 1017: 1007: 1002: 997: 992: 987: 986: 985: 980: 970: 965: 960: 955: 949: 947: 943: 942: 939: 938: 936: 935: 930: 925: 920: 914: 912: 908: 907: 905: 904: 899: 894: 889: 888: 887: 882: 872: 866: 864: 857: 856: 851: 846: 841: 836: 831: 826: 820: 818: 814: 813: 811: 810: 805: 799: 796: 795: 788: 787: 780: 773: 765: 759: 758: 751: 746: 739: 732: 728:Logical matrix 725: 720: 708: 703: 696: 689: 682: 673: 670: 669: 668: 661: 654: 645: 642: 641: 640: 633: 624: 617: 610: 603: 594: 591: 590: 589: 582: 575: 568: 561: 554: 547: 538: 535: 534: 533: 526: 519: 512: 505: 498: 491: 484: 475: 472: 471: 470: 463: 456: 447: 444: 443: 442: 435: 428: 421: 414: 407: 398: 395: 394: 393: 386: 379: 372: 365: 356: 353: 352: 351: 344: 337: 328: 325: 324: 323: 316: 309: 302: 298:Boolean domain 293: 290: 289: 288: 281: 274: 267: 260: 256:Sheffer stroke 253: 246: 239: 234: 227: 220: 213: 206: 199: 192: 185: 178: 171: 164: 157: 150: 143: 136: 129: 125:Boolean matrix 122: 115: 108: 101: 94: 87: 78: 75: 74: 73: 66: 59: 52: 45: 38: 29: 26: 9: 6: 4: 3: 2: 1942: 1941: 1930: 1927: 1925: 1922: 1920: 1917: 1915: 1912: 1911: 1909: 1894: 1891: 1889: 1886: 1882: 1879: 1878: 1877: 1874: 1870: 1867: 1865: 1862: 1860: 1857: 1856: 1855: 1852: 1848: 1845: 1844: 1843: 1842:Ordered field 1840: 1838: 1835: 1831: 1828: 1826: 1823: 1822: 1821: 1818: 1814: 1811: 1810: 1809: 1806: 1804: 1801: 1799: 1798:Hasse diagram 1796: 1794: 1791: 1789: 1786: 1782: 1779: 1778: 1777: 1776:Comparability 1774: 1772: 1769: 1767: 1764: 1762: 1759: 1758: 1756: 1752: 1744: 1741: 1739: 1736: 1734: 1731: 1729: 1726: 1725: 1724: 1721: 1719: 1716: 1712: 1709: 1707: 1704: 1703: 1702: 1699: 1697: 1693: 1690: 1689: 1687: 1684: 1680: 1674: 1671: 1669: 1666: 1664: 1661: 1659: 1656: 1654: 1651: 1649: 1648:Product order 1646: 1644: 1641: 1639: 1636: 1634: 1631: 1629: 1626: 1625: 1623: 1621:Constructions 1619: 1613: 1609: 1605: 1602: 1598: 1595: 1593: 1590: 1588: 1585: 1583: 1580: 1578: 1575: 1573: 1570: 1568: 1565: 1563: 1560: 1556: 1553: 1552: 1551: 1548: 1546: 1543: 1539: 1536: 1534: 1531: 1529: 1526: 1524: 1521: 1520: 1519: 1518:Partial order 1516: 1514: 1511: 1507: 1506:Join and meet 1504: 1502: 1499: 1497: 1494: 1492: 1489: 1487: 1484: 1483: 1482: 1479: 1477: 1474: 1472: 1469: 1467: 1464: 1462: 1459: 1457: 1453: 1449: 1447: 1444: 1442: 1439: 1437: 1434: 1432: 1429: 1427: 1424: 1420: 1417: 1416: 1415: 1412: 1410: 1407: 1405: 1404:Antisymmetric 1402: 1401: 1399: 1395: 1389: 1383: 1380: 1378: 1375: 1373: 1370: 1368: 1365: 1363: 1360: 1358: 1355: 1353: 1350: 1348: 1345: 1343: 1340: 1338: 1335: 1333: 1330: 1328: 1325: 1324: 1322: 1318: 1312: 1311:Weak ordering 1309: 1307: 1304: 1302: 1299: 1297: 1296:Partial order 1294: 1292: 1289: 1287: 1284: 1282: 1279: 1277: 1274: 1273: 1271: 1267: 1261: 1258: 1256: 1253: 1251: 1248: 1247: 1244: 1240: 1233: 1228: 1226: 1221: 1219: 1214: 1213: 1210: 1198: 1195: 1192: 1188: 1185: 1183: 1180: 1178: 1168: 1167: 1164: 1154: 1153:Logic symbols 1151: 1149: 1146: 1144: 1141: 1139: 1136: 1134: 1131: 1130: 1128: 1124: 1118: 1115: 1113: 1110: 1108: 1105: 1104: 1102: 1100: 1096: 1093: 1089: 1083: 1080: 1078: 1075: 1073: 1070: 1068: 1065: 1063: 1060: 1058: 1055: 1053: 1050: 1048: 1045: 1043: 1040: 1038: 1035: 1033: 1032:Logical truth 1030: 1028: 1025: 1023: 1020: 1016: 1013: 1012: 1011: 1008: 1006: 1003: 1001: 998: 996: 993: 991: 988: 984: 981: 979: 976: 975: 974: 973:Contradiction 971: 969: 966: 964: 961: 959: 956: 954: 951: 950: 948: 944: 934: 931: 929: 926: 924: 921: 919: 918:Argumentation 916: 915: 913: 909: 903: 902:Philosophical 900: 898: 897:Non-classical 895: 893: 890: 886: 883: 881: 878: 877: 876: 873: 871: 868: 867: 865: 861: 855: 852: 850: 847: 845: 842: 840: 837: 835: 832: 830: 827: 825: 822: 821: 819: 815: 809: 806: 804: 801: 800: 797: 793: 786: 781: 779: 774: 772: 767: 766: 763: 757: 755: 752: 750: 747: 745: 743: 742:Stone duality 740: 738: 736: 735:Logical value 733: 731: 729: 726: 724: 721: 718: 714: 712: 709: 707: 704: 702: 700: 697: 695: 693: 690: 688: 686: 683: 681: 679: 676: 675: 667: 665: 662: 660: 658: 655: 653: 651: 648: 647: 644:Visualization 639: 637: 636:Logical graph 634: 632: 630: 629: 625: 623: 621: 618: 616: 614: 611: 609: 607: 604: 602: 600: 597: 596: 588: 586: 583: 581: 579: 576: 574: 572: 569: 567: 565: 562: 560: 558: 555: 553: 551: 548: 546: 544: 543:Boole, George 541: 540: 532: 530: 527: 525: 523: 520: 518: 516: 513: 511: 509: 506: 504: 502: 499: 497: 495: 492: 490: 488: 485: 483: 481: 478: 477: 469: 467: 464: 462: 460: 457: 455: 453: 450: 449: 441: 439: 438:Formal system 436: 434: 432: 429: 427: 425: 422: 420: 418: 415: 413: 411: 408: 406: 404: 401: 400: 392: 390: 387: 385: 383: 380: 378: 376: 373: 371: 369: 366: 364: 362: 359: 358: 350: 348: 345: 343: 341: 338: 336: 334: 331: 330: 322: 320: 317: 315: 313: 310: 308: 306: 303: 301: 299: 296: 295: 287: 285: 282: 280: 278: 275: 273: 271: 268: 266: 264: 261: 259: 257: 254: 252: 250: 247: 245: 243: 240: 238: 235: 233: 231: 228: 226: 224: 221: 219: 217: 214: 212: 210: 207: 205: 203: 200: 198: 196: 193: 191: 189: 186: 184: 182: 179: 177: 175: 172: 170: 168: 165: 163: 161: 158: 156: 154: 151: 149: 147: 144: 142: 140: 137: 135: 133: 130: 128: 126: 123: 121: 119: 116: 114: 112: 109: 107: 105: 104:Bent function 102: 100: 98: 95: 93: 91: 88: 86: 84: 81: 80: 72: 70: 67: 65: 63: 60: 58: 56: 55:Field of sets 53: 51: 49: 46: 44: 42: 39: 37: 35: 32: 31: 25: 23: 19: 1685:& Orders 1663:Star product 1592:Well-founded 1545:Prefix order 1501:Distributive 1491:Complemented 1461:Foundational 1426:Completeness 1418: 1382:Zorn's lemma 1286:Cyclic order 1269:Key concepts 1239:Order theory 1111: 1072:Substitution 892:Mathematical 817:Major fields 716: 672:Unclassified 664:Venn diagram 657:Karnaugh map 628:Laws of Form 626: 522:Peirce's law 242:Peirce arrow 153:Exclusive or 21: 17: 15: 1869:Riesz space 1830:Isomorphism 1706:Normal cone 1628:Composition 1562:Semilattice 1471:Homogeneous 1456:Equivalence 1306:Total order 1187:WikiProject 1057:Proposition 1052:Probability 1005:Description 946:Foundations 749:Stone space 650:Truth table 209:Logical NOR 1908:Categories 1837:Order type 1771:Cofinality 1612:Well-order 1587:Transitive 1476:Idempotent 1409:Asymmetric 1117:Set theory 1015:Linguistic 1010:Entailment 1000:Definition 968:Consequent 963:Antecedent 593:Philosophy 578:Venn, John 459:Logic gate 1888:Upper set 1825:Embedding 1761:Antichain 1582:Tolerance 1572:Symmetric 1567:Semiorder 1513:Reflexive 1431:Connected 1148:Fallacies 1143:Paradoxes 1133:Logicians 1067:Statement 1062:Reference 1027:Induction 990:Deduction 953:Abduction 923:Metalogic 870:Classical 834:Inference 1929:Outlines 1683:Topology 1550:Preorder 1533:Eulerian 1496:Complete 1446:Directed 1436:Covering 1301:Preorder 1260:Category 1255:Glossary 1182:Category 1082:Validity 983:Antinomy 911:Theories 875:Informal 1788:Duality 1766:Cofinal 1754:Related 1733:FrĂ©chet 1610:)  1486:Bounded 1481:Lattice 1454:)  1452:Partial 1320:Results 1291:Lattice 1197:changes 1189: ( 1047:Premise 978:Paradox 808:History 803:Outline 83:Ampheck 1813:Subnet 1793:Filter 1743:Normed 1728:Banach 1694:& 1601:Better 1538:Strict 1528:Graded 1419:topics 1250:Topics 1099:topics 885:Reason 863:Logics 854:Syntax 537:People 397:Syntax 1803:Ideal 1781:Graph 1577:Total 1555:Total 1441:Dense 1126:other 1091:Lists 1077:Truth 844:Proof 792:Logic 1394:list 1191:talk 1037:Name 1022:Form 20:and 1808:Net 1608:Pre 933:Set 1910:: 24:. 1606:( 1603:) 1599:( 1450:( 1397:) 1231:e 1224:t 1217:v 1193:) 784:e 777:t 770:v

Index

Algebra of sets

Boolean algebra (structure)

Boolean algebra

Field of sets

Logical connective

Propositional calculus

Ampheck

Analysis of Boolean functions

Balanced Boolean function

Bent function

Boolean algebras canonically defined

Boolean function

Boolean matrix

Boolean-valued function

Conditioned disjunction

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