Knowledge

Logical form

Source 📝

49: 2261: 584:, where Aristotelian logic is unable to satisfactorily render such sentences as "some guys have all the luck", because both quantities "all" and "some" may be relevant in an inference, but the fixed scheme that Aristotle used allows only one to govern the inference. Just as linguists recognize recursive structure in natural languages, it appears that logic needs recursive structure. 183:. Russell wrote: "Some kind of knowledge of logical forms, though with most people it is not explicit, is involved in all understanding of discourse. It is the business of philosophical logic to extract this knowledge from its concrete integuments, and to render it explicit and pure." 382:
from the form of its constituent sentences; the logical form of an argument is sometimes called argument form. Some authors only define logical form with respect to whole arguments, as the schemata or inferential structure of the argument. In
433:
The modern view is more complex, since a single judgement of Aristotle's system involves two or more logical connectives. For example, the sentence "All men are mortal" involves, in term logic, two non-logical terms "is a man" (here
418:, which is of the form "is" or "is not"; (3) a predicate (e.g., "mortal"). Thus: "all men are mortal." The logical constants such as "all", "no", and so on, plus sentential connectives such as "and" and "or", were called 402:. Thus, for example, the expression "all A's are B's" shows the logical form which is common to the sentences "all men are mortals", "all cats are carnivores", "all Greeks are philosophers", and so on. 562: 576:
The more complex modern view comes with more power. On the modern view, the fundamental form of a simple sentence is given by a recursive schema, like natural language and involving
410:
The fundamental difference between modern formal logic and traditional, or Aristotelian logic, lies in their differing analysis of the logical form of the sentences they treat:
1643: 394:
It consists of stripping out all spurious grammatical features from the sentence (such as gender, and passive forms), and replacing all the expressions specific to
315:. Inductive logical forms include inductive generalization, statistical arguments, causal argument, and arguments from analogy. Common deductive argument forms are 506: 477: 414:
On the traditional view, the form of the sentence consists of (1) a subject (e.g., "man") plus a sign of quantity ("all" or "some" or "no"); (2) the
1016: 331:, and chain arguments because if the premises of the argument are true, then the conclusion necessarily follows. Two invalid argument forms are 430:– together with). This is a fixed scheme, where each judgment has a specific quantity and copula, determining the logical form of the sentence. 675:
Russell, Bertrand. 1914(1993). Our Knowledge of the External World: as a field for scientific method in philosophy. New York: Routledge. p. 53
1733: 1833: 580:, which are joined by juxtaposition to other sentences, which in turn may have logical structure. Medieval logicians recognized the 144:, only the logical principles stated in schematic terms belong to logic, and not those given in concrete terms. The concrete terms 1595: 2285: 1838: 931: 912: 893: 864: 837: 810: 783: 756: 699: 1009: 92:
statement into a statement with a precise, unambiguous logical interpretation with respect to a formal system. In an ideal
1917: 979: 967: 323:, argument by definition, argument based on mathematics, argument from definition. The most reliable forms of logic are 2046: 635: 17: 2195: 731: 511: 85: 2279: 1042: 2316: 1871: 1828: 1002: 985:
Beaney, Michael, "Analysis", The Stanford Encyclopedia of Philosophy (Summer 2009 Edition), Edward N. Zalta (ed.)
2200: 1808: 1673: 581: 1554: 1333: 1295: 1245: 2311: 1803: 1703: 646: 854: 2275: 1544: 1494: 706: 195:
of an argument, substitute letters for similar items throughout the sentences in the original argument.
2321: 2226: 1683: 1423: 1303: 1034: 31: 2205: 2130: 1912: 1768: 1368: 1275: 1115: 101: 179:
in 1914, in the context of his program to formalize natural language and reasoning, which he called
2103: 1693: 565: 332: 100:
alone. Logical forms are semantic, not syntactic constructs; therefore, there may be more than one
596:, statements in natural languages are converted into logical forms that represent their meanings. 2187: 1338: 1265: 1120: 41:"Argument structure" redirects here. For the possible complements of a verb in linguistics, see 27:
Form for logical arguments, obtained by abstracting from the subject matter of its content terms
2326: 1584: 1428: 1363: 1025: 336: 316: 800: 133:, was probably the first to employ variable letters to represent valid inferences. Therefore, 2241: 1559: 1539: 1474: 1358: 1140: 827: 773: 687: 674: 320: 2306: 2160: 2006: 1723: 1633: 1432: 1393: 1125: 569: 415: 384: 482: 453: 8: 2115: 2098: 2078: 2041: 1990: 1985: 1927: 1864: 1773: 1763: 1613: 1569: 1403: 1180: 1095: 629: 312: 308: 180: 89: 53: 137:
claims that the introduction of variables was "one of Aristotle's greatest inventions."
123:
The importance of the concept of form to logic was already recognized in ancient times.
2331: 2051: 1980: 1937: 1623: 1519: 1514: 1438: 1413: 1215: 1200: 1165: 720: 623: 577: 399: 152:, and so forth are analogous to the substitution values of the schematic placeholders 134: 2265: 2236: 2231: 2221: 2155: 2083: 1968: 1589: 1509: 1348: 1230: 927: 908: 889: 860: 833: 806: 779: 752: 727: 695: 641: 73: 2170: 1896: 1891: 1653: 1564: 1388: 1383: 1185: 958: 617: 593: 419: 379: 304: 176: 141: 2016: 1958: 1798: 1713: 1469: 1448: 1398: 1378: 1318: 1285: 1240: 1235: 1195: 1080: 962: 447: 129: 93: 984: 391:, an argument form is sometimes seen as a broader notion than the logical form. 2270: 1963: 1942: 1857: 1549: 1504: 1328: 1260: 1130: 611: 388: 30:
This article is about the term as used in logic. For the linguistics term, see
1135: 60:
makes use of three statements in logical form expressed in simplified English.
2300: 2120: 2061: 1793: 1408: 1313: 1308: 1270: 1190: 1170: 1145: 1110: 975: 947: 328: 81: 42: 450:, the sentence involves the same two non-logical concepts, here analyzed as 48: 1932: 1534: 1484: 1443: 1353: 1255: 1210: 1205: 1175: 1160: 1155: 605: 324: 57: 2145: 2140: 2093: 1778: 1743: 1663: 1489: 1280: 1220: 1105: 1090: 994: 375: 2088: 2056: 2021: 1783: 1574: 1418: 1373: 1250: 1225: 1150: 1085: 951: 35: 2150: 2011: 1922: 1815: 1524: 1464: 1343: 1323: 1075: 1070: 1050: 829:
Argument, inference and dialectic: collected papers on informal logic
124: 96:, the meaning of a logical form can be determined unambiguously from 77: 283:
of the original argument. Moreover, each individual sentence of the
2071: 1788: 1479: 1100: 1060: 371: 108: 989: 2135: 2066: 1499: 1055: 856:
Integration of World Knowledge for Natural Language Understanding
1973: 1644:
An Essay Towards a Real Character, and a Philosophical Language
1579: 587: 97: 2165: 1880: 1065: 665:
The Cambridge Dictionary of Philosophy, CUP 1999, pp. 511–512
608: â€“ Visual representation of the structure of an argument 65: 2125: 902: 104:
that represents the same logical form in a given language.
299:
Attention is given to argument and sentence form, because
1849: 614: â€“ Faulty deductive reasoning due to a logical flaw 685: 626: â€“ Family of formalisms in natural language syntax 883: 852: 620: â€“ Form of incorrect argument in natural language 886:
Logical forms: an introduction to philosophical logic
514: 485: 456: 291:
of its respective sentence in the original argument.
34:. For the term used in knowledge representation, see 719: 556: 500: 471: 749:Critical thinking : a student's introduction 632: â€“ Distinction in the philosophy of language 307:or cogent. All logical form arguments are either 175:The term "logical form" itself was introduced by 2298: 746: 846: 825: 557:{\displaystyle \forall x(m(x)\rightarrow d(x))} 405: 679: 294: 1865: 1010: 765: 140:According to the followers of Aristotle like 924:The bounds of logic: a generalized viewpoint 798: 588:Logical forms in natural language processing 853:Ekaterina Ovchinnikova (15 February 2012). 771: 191:To demonstrate the important notion of the 186: 84:. Informally, the logical form attempts to 1872: 1858: 1734:Wittgenstein on Rules and Private Language 1024: 1017: 1003: 792: 638: â€“ Semantic distinction in philosophy 442:): the sentence is given by the judgement 921: 903:Gerhard Preyer, Georg Peter, ed. (2002). 859:. Springer Science & Business Media. 690:. In Gerhard Preyer; Georg Peter (eds.). 819: 564:, involving the logical connectives for 164:, which were called the "matter" (Greek 47: 14: 2299: 726:. Belmont, Calif.: Wadsworth Pub. Co. 717: 378:of sentences, has a logical form that 1853: 998: 956: 778:. Taylor & Francis. p. 18. 2047:Analytic and synthetic propositions 1918:Formal semantics (natural language) 980:Indiana Philosophy Ontology Project 968:Stanford Encyclopedia of Philosophy 24: 877: 686:Ernie Lepore; Kirk Ludwig (2002). 515: 366:Therefore, Missy is not an animal. 25: 2343: 941: 2259: 884:Richard Mark Sainsbury (2001). 722:A concise introduction to logic 694:. Clarendon Press. p. 54. 508:, and the sentence is given by 80:version of that statement in a 1674:Tractatus Logico-Philosophicus 740: 711: 668: 659: 636:Analytic–synthetic distinction 582:problem of multiple generality 551: 548: 542: 536: 533: 527: 521: 495: 489: 466: 460: 247:All that has been done in the 208:Therefore, Socrates is mortal. 13: 1: 1555:Principle of compositionality 751:(5th ed.). McGraw-Hill. 652: 1704:Philosophical Investigations 647:List of valid argument forms 406:Logical form in modern logic 7: 1545:Modality (natural language) 990:IEP, Validity and Soundness 718:Hurley, Patrick J. (1988). 599: 295:Importance of argument form 10: 2348: 1684:Language, Truth, and Logic 1424:Theological noncognitivism 1309:Contrast theory of meaning 1304:Causal theory of reference 1035:Index of language articles 805:. Routledge. p. 386. 303:is what makes an argument 118: 40: 32:Logical form (linguistics) 29: 2254: 2214: 2186: 2179: 2131:Necessity and sufficiency 2034: 1999: 1951: 1905: 1887: 1879: 1824: 1769:Philosophy of information 1756: 1605: 1457: 1369:Mediated reference theory 1294: 1041: 1032: 905:Logical form and language 747:Bassham, Gregory (2012). 692:Logical form and language 352:Therefore, Coco is a dog. 76:is a precisely-specified 1694:Two Dogmas of Empiricism 832:. Springer. p. 84. 826:Robert C. Pinto (2001). 566:universal quantification 438:) and "is mortal" (here 343:Affirming the consequent 333:affirming the consequent 187:Example of argument form 1495:Use–mention distinction 1339:Direct reference theory 688:"What is logical form?" 107:The logical form of an 2317:Philosophy of language 1429:Theory of descriptions 1364:Linguistic determinism 1026:Philosophy of language 558: 502: 473: 422:terms (from the Greek 357:Denying the antecedent 337:denying the antecedent 317:hypothetical syllogism 279:. What results is the 202:All humans are mortal. 61: 2266:Philosophy portal 1540:Mental representation 1475:Linguistic relativity 1359:Inquisitive semantics 799:Paul Tomassi (1999). 559: 503: 474: 360:All cats are animals. 346:All dogs are animals. 321:categorical syllogism 51: 1724:Naming and Necessity 1634:De Arte Combinatoria 1433:Definite description 1394:Semantic externalism 772:J. C. Beall (2009). 512: 501:{\displaystyle d(x)} 483: 472:{\displaystyle m(x)} 454: 426:– to predicate, and 385:argumentation theory 2312:Analytic philosophy 1928:Philosophy of logic 1774:Philosophical logic 1764:Analytic philosophy 1570:Sense and reference 1449:Verification theory 1404:Situation semantics 907:. Clarendon Press. 888:. Wiley-Blackwell. 630:Sense and reference 578:logical connectives 400:schematic variables 398:of the argument by 363:Missy is not a cat. 181:philosophical logic 172:) of the argument. 54:propositional logic 2227:Rules of inference 2196:Mathematical logic 1938:Semantics of logic 1624:Port-Royal Grammar 1520:Family resemblance 1439:Theory of language 1414:Supposition theory 922:Gila Sher (1991). 624:Categorial grammar 554: 498: 469: 396:the subject matter 349:Coco is an animal. 205:Socrates is human. 62: 18:Argument structure 2322:Concepts in logic 2294: 2293: 2250: 2249: 2084:Deductive closure 2030: 2029: 1969:Critical thinking 1847: 1846: 1349:Dynamic semantics 957:Pietroski, Paul. 933:978-0-262-19311-5 914:978-0-19-924555-0 895:978-0-631-21679-7 866:978-94-91216-53-4 839:978-0-7923-7005-5 812:978-0-415-16696-6 785:978-0-415-77498-7 775:Logic: the Basics 758:978-0-07-803831-0 701:978-0-19-924555-0 642:Semantic argument 199:Original argument 115:of the argument. 52:This argument in 16:(Redirected from 2339: 2264: 2263: 2262: 2184: 2183: 1949: 1948: 1913:Computer science 1874: 1867: 1860: 1851: 1850: 1809:Formal semantics 1757:Related articles 1749: 1739: 1729: 1719: 1709: 1699: 1689: 1679: 1669: 1659: 1649: 1639: 1629: 1619: 1389:Relevance theory 1384:Phallogocentrism 1019: 1012: 1005: 996: 995: 972: 963:Zalta, Edward N. 937: 918: 899: 871: 870: 850: 844: 843: 823: 817: 816: 796: 790: 789: 769: 763: 762: 744: 738: 737: 725: 715: 709: 705: 683: 677: 672: 666: 663: 618:Informal fallacy 594:semantic parsing 563: 561: 560: 555: 507: 505: 504: 499: 478: 476: 475: 470: 420:syncategorematic 177:Bertrand Russell 21: 2347: 2346: 2342: 2341: 2340: 2338: 2337: 2336: 2297: 2296: 2295: 2290: 2260: 2258: 2246: 2210: 2201:Boolean algebra 2175: 2026: 2017:Metamathematics 1995: 1947: 1901: 1883: 1878: 1848: 1843: 1820: 1799:School of Names 1752: 1747: 1737: 1727: 1717: 1714:Of Grammatology 1707: 1697: 1687: 1677: 1667: 1657: 1647: 1637: 1627: 1617: 1601: 1453: 1399:Semantic holism 1379:Non-cognitivism 1319:Conventionalism 1290: 1037: 1028: 1023: 944: 934: 915: 896: 880: 878:Further reading 875: 874: 867: 851: 847: 840: 824: 820: 813: 797: 793: 786: 770: 766: 759: 745: 741: 734: 716: 712: 702: 684: 680: 673: 669: 664: 660: 655: 612:Logical fallacy 602: 590: 513: 510: 509: 484: 481: 480: 455: 452: 451: 448:predicate logic 408: 297: 189: 135:Jan Łukasiewicz 130:Prior Analytics 121: 94:formal language 46: 39: 28: 23: 22: 15: 12: 11: 5: 2345: 2335: 2334: 2329: 2324: 2319: 2314: 2309: 2292: 2291: 2289: 2288: 2283: 2273: 2268: 2255: 2252: 2251: 2248: 2247: 2245: 2244: 2239: 2234: 2229: 2224: 2218: 2216: 2212: 2211: 2209: 2208: 2203: 2198: 2192: 2190: 2181: 2177: 2176: 2174: 2173: 2168: 2163: 2158: 2153: 2148: 2143: 2138: 2133: 2128: 2123: 2118: 2113: 2108: 2107: 2106: 2096: 2091: 2086: 2081: 2076: 2075: 2074: 2069: 2059: 2054: 2049: 2044: 2038: 2036: 2032: 2031: 2028: 2027: 2025: 2024: 2019: 2014: 2009: 2003: 2001: 1997: 1996: 1994: 1993: 1988: 1983: 1978: 1977: 1976: 1971: 1961: 1955: 1953: 1946: 1945: 1940: 1935: 1930: 1925: 1920: 1915: 1909: 1907: 1903: 1902: 1900: 1899: 1894: 1888: 1885: 1884: 1877: 1876: 1869: 1862: 1854: 1845: 1844: 1842: 1841: 1836: 1831: 1825: 1822: 1821: 1819: 1818: 1813: 1812: 1811: 1801: 1796: 1791: 1786: 1781: 1776: 1771: 1766: 1760: 1758: 1754: 1753: 1751: 1750: 1740: 1730: 1720: 1710: 1700: 1690: 1680: 1670: 1660: 1650: 1640: 1630: 1620: 1609: 1607: 1603: 1602: 1600: 1599: 1592: 1587: 1582: 1577: 1572: 1567: 1562: 1557: 1552: 1550:Presupposition 1547: 1542: 1537: 1532: 1527: 1522: 1517: 1512: 1507: 1502: 1497: 1492: 1487: 1482: 1477: 1472: 1467: 1461: 1459: 1455: 1454: 1452: 1451: 1446: 1441: 1436: 1426: 1421: 1416: 1411: 1406: 1401: 1396: 1391: 1386: 1381: 1376: 1371: 1366: 1361: 1356: 1351: 1346: 1341: 1336: 1331: 1329:Deconstruction 1326: 1321: 1316: 1311: 1306: 1300: 1298: 1292: 1291: 1289: 1288: 1283: 1278: 1273: 1268: 1263: 1258: 1253: 1248: 1243: 1238: 1233: 1228: 1223: 1218: 1213: 1208: 1203: 1198: 1193: 1188: 1183: 1178: 1173: 1168: 1163: 1158: 1153: 1148: 1143: 1138: 1133: 1128: 1123: 1118: 1113: 1108: 1103: 1098: 1093: 1088: 1083: 1078: 1073: 1068: 1063: 1058: 1053: 1047: 1045: 1039: 1038: 1033: 1030: 1029: 1022: 1021: 1014: 1007: 999: 993: 992: 987: 982: 973: 959:"Logical Form" 954: 943: 942:External links 940: 939: 938: 932: 919: 913: 900: 894: 879: 876: 873: 872: 865: 845: 838: 818: 811: 791: 784: 764: 757: 739: 732: 710: 700: 678: 667: 657: 656: 654: 651: 650: 649: 644: 639: 633: 627: 621: 615: 609: 601: 598: 589: 586: 574: 573: 553: 550: 547: 544: 541: 538: 535: 532: 529: 526: 523: 520: 517: 497: 494: 491: 488: 468: 465: 462: 459: 431: 407: 404: 389:informal logic 368: 367: 364: 361: 358: 354: 353: 350: 347: 344: 296: 293: 245: 244: 233: 223: 212: 209: 206: 203: 200: 188: 185: 120: 117: 111:is called the 26: 9: 6: 4: 3: 2: 2344: 2333: 2330: 2328: 2327:Logical truth 2325: 2323: 2320: 2318: 2315: 2313: 2310: 2308: 2305: 2304: 2302: 2287: 2284: 2281: 2277: 2274: 2272: 2269: 2267: 2257: 2256: 2253: 2243: 2242:Logic symbols 2240: 2238: 2235: 2233: 2230: 2228: 2225: 2223: 2220: 2219: 2217: 2213: 2207: 2204: 2202: 2199: 2197: 2194: 2193: 2191: 2189: 2185: 2182: 2178: 2172: 2169: 2167: 2164: 2162: 2159: 2157: 2154: 2152: 2149: 2147: 2144: 2142: 2139: 2137: 2134: 2132: 2129: 2127: 2124: 2122: 2121:Logical truth 2119: 2117: 2114: 2112: 2109: 2105: 2102: 2101: 2100: 2097: 2095: 2092: 2090: 2087: 2085: 2082: 2080: 2077: 2073: 2070: 2068: 2065: 2064: 2063: 2062:Contradiction 2060: 2058: 2055: 2053: 2050: 2048: 2045: 2043: 2040: 2039: 2037: 2033: 2023: 2020: 2018: 2015: 2013: 2010: 2008: 2007:Argumentation 2005: 2004: 2002: 1998: 1992: 1991:Philosophical 1989: 1987: 1986:Non-classical 1984: 1982: 1979: 1975: 1972: 1970: 1967: 1966: 1965: 1962: 1960: 1957: 1956: 1954: 1950: 1944: 1941: 1939: 1936: 1934: 1931: 1929: 1926: 1924: 1921: 1919: 1916: 1914: 1911: 1910: 1908: 1904: 1898: 1895: 1893: 1890: 1889: 1886: 1882: 1875: 1870: 1868: 1863: 1861: 1856: 1855: 1852: 1840: 1837: 1835: 1832: 1830: 1827: 1826: 1823: 1817: 1814: 1810: 1807: 1806: 1805: 1802: 1800: 1797: 1795: 1794:Scholasticism 1792: 1790: 1787: 1785: 1782: 1780: 1777: 1775: 1772: 1770: 1767: 1765: 1762: 1761: 1759: 1755: 1746: 1745: 1741: 1736: 1735: 1731: 1726: 1725: 1721: 1716: 1715: 1711: 1706: 1705: 1701: 1696: 1695: 1691: 1686: 1685: 1681: 1676: 1675: 1671: 1665: 1661: 1656: 1655: 1651: 1646: 1645: 1641: 1636: 1635: 1631: 1626: 1625: 1621: 1616: 1615: 1611: 1610: 1608: 1604: 1598: 1597: 1593: 1591: 1588: 1586: 1583: 1581: 1578: 1576: 1573: 1571: 1568: 1566: 1563: 1561: 1558: 1556: 1553: 1551: 1548: 1546: 1543: 1541: 1538: 1536: 1533: 1531: 1528: 1526: 1523: 1521: 1518: 1516: 1513: 1511: 1508: 1506: 1503: 1501: 1498: 1496: 1493: 1491: 1488: 1486: 1483: 1481: 1478: 1476: 1473: 1471: 1468: 1466: 1463: 1462: 1460: 1456: 1450: 1447: 1445: 1442: 1440: 1437: 1434: 1430: 1427: 1425: 1422: 1420: 1417: 1415: 1412: 1410: 1409:Structuralism 1407: 1405: 1402: 1400: 1397: 1395: 1392: 1390: 1387: 1385: 1382: 1380: 1377: 1375: 1372: 1370: 1367: 1365: 1362: 1360: 1357: 1355: 1352: 1350: 1347: 1345: 1342: 1340: 1337: 1335: 1334:Descriptivism 1332: 1330: 1327: 1325: 1322: 1320: 1317: 1315: 1314:Contrastivism 1312: 1310: 1307: 1305: 1302: 1301: 1299: 1297: 1293: 1287: 1284: 1282: 1279: 1277: 1274: 1272: 1269: 1267: 1264: 1262: 1259: 1257: 1254: 1252: 1249: 1247: 1244: 1242: 1239: 1237: 1234: 1232: 1229: 1227: 1224: 1222: 1219: 1217: 1214: 1212: 1209: 1207: 1204: 1202: 1199: 1197: 1194: 1192: 1189: 1187: 1184: 1182: 1179: 1177: 1174: 1172: 1169: 1167: 1164: 1162: 1159: 1157: 1154: 1152: 1149: 1147: 1144: 1142: 1139: 1137: 1134: 1132: 1129: 1127: 1124: 1122: 1119: 1117: 1114: 1112: 1109: 1107: 1104: 1102: 1099: 1097: 1094: 1092: 1089: 1087: 1084: 1082: 1079: 1077: 1074: 1072: 1069: 1067: 1064: 1062: 1059: 1057: 1054: 1052: 1049: 1048: 1046: 1044: 1040: 1036: 1031: 1027: 1020: 1015: 1013: 1008: 1006: 1001: 1000: 997: 991: 988: 986: 983: 981: 977: 974: 970: 969: 964: 960: 955: 953: 949: 946: 945: 935: 929: 926:. MIT Press. 925: 920: 916: 910: 906: 901: 897: 891: 887: 882: 881: 868: 862: 858: 857: 849: 841: 835: 831: 830: 822: 814: 808: 804: 803: 795: 787: 781: 777: 776: 768: 760: 754: 750: 743: 735: 733:0-534-08928-3 729: 724: 723: 714: 708: 703: 697: 693: 689: 682: 676: 671: 662: 658: 648: 645: 643: 640: 637: 634: 631: 628: 625: 622: 619: 616: 613: 610: 607: 604: 603: 597: 595: 585: 583: 579: 571: 567: 545: 539: 530: 524: 518: 492: 486: 463: 457: 449: 445: 441: 437: 432: 429: 425: 421: 417: 413: 412: 411: 403: 401: 397: 392: 390: 386: 381: 377: 374:, seen as an 373: 365: 362: 359: 356: 355: 351: 348: 345: 342: 341: 340: 338: 334: 330: 329:modus tollens 326: 322: 318: 314: 310: 306: 302: 292: 290: 289:sentence form 286: 285:argument form 282: 278: 274: 270: 266: 262: 258: 254: 250: 249:argument form 242: 238: 234: 231: 227: 224: 221: 217: 213: 211:Argument form 210: 207: 204: 201: 198: 197: 196: 194: 184: 182: 178: 173: 171: 167: 163: 159: 155: 151: 147: 143: 138: 136: 132: 131: 126: 116: 114: 113:argument form 110: 105: 103: 99: 95: 91: 87: 83: 82:formal system 79: 75: 71: 67: 59: 55: 50: 44: 43:verb argument 37: 33: 19: 2161:Substitution 2110: 1981:Mathematical 1906:Major fields 1742: 1732: 1722: 1712: 1702: 1692: 1682: 1672: 1652: 1642: 1632: 1622: 1612: 1594: 1535:Metalanguage 1530:Logical form 1529: 1485:Truth-bearer 1444:Unilalianism 1354:Expressivism 1181:Wittgenstein 1126:von Humboldt 1043:Philosophers 976:Logical form 966: 948:Logical form 923: 904: 885: 855: 848: 828: 821: 801: 794: 774: 767: 748: 742: 721: 713: 691: 681: 670: 661: 606:Argument map 591: 575: 443: 439: 435: 427: 423: 409: 395: 393: 369: 325:modus ponens 300: 298: 288: 284: 280: 276: 272: 268: 264: 260: 256: 252: 248: 246: 240: 236: 229: 225: 219: 215: 192: 190: 174: 169: 165: 161: 157: 153: 149: 145: 139: 128: 122: 112: 106: 70:logical form 69: 63: 58:modus ponens 2307:Abstraction 2276:WikiProject 2146:Proposition 2141:Probability 2094:Description 2035:Foundations 1779:Linguistics 1744:Limited Inc 1664:On Denoting 1490:Proposition 1141:de Saussure 1106:Ibn Khaldun 570:implication 376:ordered set 235:Therefore, 88:a possibly 2301:Categories 2206:Set theory 2104:Linguistic 2099:Entailment 2089:Definition 2057:Consequent 2052:Antecedent 1839:Discussion 1834:Task Force 1784:Pragmatics 1575:Speech act 1505:Categories 1419:Symbiosism 1374:Nominalism 1286:Watzlawick 1166:Bloomfield 1086:Chrysippus 952:PhilPapers 653:References 370:A logical 251:is to put 56:utilizing 36:Logic form 2332:Arguments 2237:Fallacies 2232:Paradoxes 2222:Logicians 2156:Statement 2151:Reference 2116:Induction 2079:Deduction 2042:Abduction 2012:Metalogic 1959:Classical 1923:Inference 1816:Semiotics 1804:Semantics 1654:Alciphron 1590:Statement 1525:Intension 1465:Ambiguity 1344:Dramatism 1324:Cratylism 1076:Eubulides 1071:Aristotle 1051:Confucius 537:→ 516:∀ 424:kategorei 313:deductive 309:inductive 127:, in the 125:Aristotle 90:ambiguous 86:formalize 74:statement 2271:Category 2171:Validity 2072:Antinomy 2000:Theories 1964:Informal 1829:Category 1789:Rhetoric 1614:Cratylus 1585:Sentence 1560:Property 1480:Language 1458:Concepts 1296:Theories 1261:Strawson 1246:Davidson 1236:Hintikka 1231:Anscombe 1176:Vygotsky 1131:Mauthner 1101:Averroes 1091:Zhuangzi 1081:Diodorus 1061:Cratylus 707:preprint 600:See also 372:argument 277:Socrates 168:, Latin 142:Ammonius 109:argument 78:semantic 2286:changes 2278: ( 2136:Premise 2067:Paradox 1897:History 1892:Outline 1596:more... 1500:Concept 1241:Dummett 1216:Gadamer 1211:Chomsky 1196:Derrida 1186:Russell 1171:Bergson 1156:Tillich 1116:Leibniz 1056:Gorgias 978:at the 965:(ed.). 380:derives 287:is the 170:materia 119:History 2188:topics 1974:Reason 1952:Logics 1943:Syntax 1748:(1988) 1738:(1982) 1728:(1980) 1718:(1967) 1708:(1953) 1698:(1951) 1688:(1936) 1678:(1921) 1668:(1905) 1658:(1732) 1648:(1668) 1638:(1666) 1628:(1660) 1618:(n.d.) 1580:Symbol 1281:Searle 1271:Putnam 1221:Kripke 1206:Austin 1191:Carnap 1136:Ricœur 1121:Herder 1111:Hobbes 930:  911:  892:  863:  836:  809:  782:  755:  730:  698:  444:A(M,D) 416:copula 271:, and 269:mortal 261:humans 150:mortal 102:string 98:syntax 68:, the 2215:other 2180:Lists 2166:Truth 1933:Proof 1881:Logic 1606:Works 1515:Class 1276:Lewis 1266:Quine 1251:Grice 1201:Whorf 1161:Sapir 1146:Frege 1096:Xunzi 1066:Plato 961:. In 802:Logic 446:. In 305:valid 257:human 72:of a 66:logic 2280:talk 2126:Name 2111:Form 1565:Sign 1470:Cant 1256:Ryle 1226:Ayer 1151:Boas 928:ISBN 909:ISBN 890:ISBN 861:ISBN 834:ISBN 807:ISBN 780:ISBN 753:ISBN 728:ISBN 696:ISBN 568:and 479:and 335:and 301:form 281:form 275:for 267:for 259:and 255:for 218:are 214:All 193:form 166:hyle 2022:Set 1510:Set 950:at 592:In 428:syn 387:or 339:. 311:or 239:is 228:is 146:man 64:In 2303:: 1666:" 327:, 319:, 263:, 160:, 156:, 148:, 2282:) 1873:e 1866:t 1859:v 1662:" 1435:) 1431:( 1018:e 1011:t 1004:v 971:. 936:. 917:. 898:. 869:. 842:. 815:. 788:. 761:. 736:. 704:. 572:. 552:) 549:) 546:x 543:( 540:d 534:) 531:x 528:( 525:m 522:( 519:x 496:) 493:x 490:( 487:d 467:) 464:x 461:( 458:m 440:D 436:M 273:S 265:M 253:H 243:. 241:M 237:S 232:. 230:H 226:S 222:. 220:M 216:H 162:C 158:B 154:A 45:. 38:. 20:)

Index

Argument structure
Logical form (linguistics)
Logic form
verb argument

propositional logic
modus ponens
logic
statement
semantic
formal system
formalize
ambiguous
formal language
syntax
string
argument
Aristotle
Prior Analytics
Jan Łukasiewicz
Ammonius
Bertrand Russell
philosophical logic
valid
inductive
deductive
hypothetical syllogism
categorical syllogism
modus ponens
modus tollens

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.

↑