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Formal semantics (natural language)

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183:, knowing the meaning of a sentence also requires knowing what issues (i.e. questions) it raises. For instance "Nancy smokes, but does she drink?" conveys the same truth-conditional information as the previous example but also raises an issue of whether Nancy drinks. Other approaches generalize the concept of truth conditionality or treat it as epiphenomenal. For instance in 318:"herself" is bound by its antecedent "Mary". Binding can be licensed or blocked in certain contexts or syntactic configurations, e.g. the pronoun "her" cannot be bound by "Mary" in the English sentence "Mary saw her". While all languages have binding, restrictions on it vary even among closely related languages. Binding was a major component to the 336:
Modality is the phenomenon whereby language is used to discuss potentially non-actual scenarios. For instance, while a non-modal sentence such as "Nancy smoked" makes a claim about the actual world, modalized sentences such as "Nancy might have smoked" or "If Nancy smoked, I'll be sad" make claims
423:, and many linguists were initially puzzled by it. While linguists wanted a restrictive theory that could only model phenomena that occur in human languages, Montague sought a flexible framework that characterized the concept of meaning at its most general. At one conference, Montague told 402: 341:
such as "could", "should", or "must"; modal adverbs such as "possibly" or "necessarily"; and modal adjectives such as "conceivable" and "probable". However, modal components have been identified in the meanings of countless natural language expressions including
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Formal semantics grew into a major subfield of linguistics in the late 1970s and early 1980s, due to the seminal work of Barbara Partee. Partee developed a linguistically plausible system which incorporated the key insights of both Montague Grammar and
176:, or in other words knowing what the world would have to be like for the sentence to be true. For instance, to know the meaning of the English sentence "Nancy smokes" one has to know that it is true when the person Nancy performs the action of smoking. 419:. Before Montague, many linguists had doubted that this was possible, and logicians of that era tended to view logic as a replacement for natural language rather than a tool for analyzing it. Montague's work was published during the 467:
which undergoes semantic interpretation. Thus, this system often includes syntactic representations and operations which were introduced by translation rules in Montague's system. However, work by others such as
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The fundamental question of formal semantics is what you know when you know how to interpret expressions of a language. A common assumption is that knowing the meaning of a sentence requires knowing its
280:, in which an item's syntactic position corresponds to its semantic scope. Others theories compute scope relations in the semantics itself, using formal tools such as type shifters, 472:
proposed models of the syntax-semantics interface which stayed closer to Montague's, providing a system of interpretation in which denotations could be computed on the basis of
217:. In a simplified semantic analysis, this idea would be formalized by positing that "Nancy" denotes Nancy herself, while "smokes" denotes a function which takes some individual 65:
from the meanings of their parts. The enterprise of formal semantics can be thought of as that of reverse-engineering the semantic components of natural languages' grammars.
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which first codified and popularized it. The Heim and Kratzer system differs from earlier approaches in that it incorporates a level of syntactic representation called
398:, but it was regarded as earth-shattering when first proposed, and many of its fundamental insights survive in the various semantic models which have superseded it. 448: 1039: 264:, but the proposition that Paulina drinks wine does not. One of the major concerns of research in formal semantics is the relationship between operators' 209:
sentence "Nancy smokes" is determined by the meaning of "Nancy", the denotation of "smokes", and whatever semantic operations combine the meanings of
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However, many current approaches to formal semantics posit that there is more to meaning than truth-conditions. In the formal semantic framework of
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of a complex expression is determined by the denotations of its parts along with their mode of composition. For instance, the denotation of the
187:, knowing the meaning of a sentence amounts to knowing how it updates a context. Pietroski treats meanings as instructions to build concepts. 435:. Early research in linguistic formal semantics used Partee's system to achieve a wealth of empirical and conceptual results. Later work by 2261: 1570: 2044: 1071:
Barwise, Jon; Cooper, Robin (1981). "Generalized quantifiers and natural language". In Kulas, J; Fetzer, J.H.; Rankin, T.L. (eds.).
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and their semantic scope. This relationship is not transparent, since the scope of an operator need not directly correspond to its
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Formal semantics emerged as a major area of research in the early 1970s, with the pioneering work of the philosopher and logician
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Seth Yalcin (2014). "Semantics and metasemantics in the context of generative grammar". In Alexis Burgess; Brett Sherman (eds.).
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Hamm, Fritz; Kamp, Hans; Lambalgen, Michiel van (2006-09-01). "There is no opposition between Formal and Cognitive Semantics".
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emerged as a reaction against formal semantics, but there have been recently several attempts at reconciling both positions.
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The Principle of Compositionality is the fundamental assumption in formal semantics. This principle states that the
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view of meaning. Within linguistics, it is more common to view formal semantics as part of the study of linguistic
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Chapter 10, Formal semantics, contains the best chapter-level coverage of the main technical directions
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between different scope construals. Some theories of scope posit a level of syntactic structure called
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For a very readable and succinct overview of how formal semantics found its way into linguistics, see
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Ample historical information. (An extended version of the introductory essay in Barbara H. Partee:
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Montague Grammar was a major advance because it showed that natural languages could be treated as
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Scope can be thought of as the semantic order of operations. For instance, in the sentence "
2110: 1917: 1696: 311: 233:, this analysis would predict that the sentence as a whole is true if Nancy indeed smokes. 230: 141: 133: 86: 1536: 1481: 914: 872: 394:
translation rules linking the two. In retrospect, Montague Grammar has been compared to a
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indeed smokes. Assuming that the words "Nancy" and "smokes" are semantically composed via
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Max Cresswell (2006). "Formal semantics". In Michael Devitt, Richard Hanley (ed.).
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Formal semantics is an interdisciplinary field, often viewed as a subfield of both
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Categorial investigations: logical and linguistic aspects of the Lambek calculus
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that she was "the only linguist who it is not the case that I can't talk to".
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The formal approach to meaning: Formal semantics and its recent developments
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and generics. The standard treatment of linguistic modality was proposed by
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about alternative scenarios. The most intensely studied expressions include
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Partee, Barbara (2011). "Formal semantics: Origins, issues, early impact".
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Compositionality in Formal Semantics: Selected Papers of Barbara Partee.
1075:. Studies in Cognitive Systems. Vol. 2. Springer. pp. 241–301. 363: 257: 222: 117: 54: 46: 1250: 2230: 1882: 1648: 1603: 1598: 1390: 1144:
The Baltic International Yearbook of Cognition, Logic and Communication
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and others built on Partee's work to further reconcile it with the
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Ciardelli, Ivano; Groenendijk, Jeroen; Roelofsen, Floris (2019).
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of natural language expressions. High-level concerns include
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The art and craft of semantics: A Festschrift for Irene Heim
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approach to syntax. The resulting framework is known as the
1308:. Introducing linguistics (3rd ed.). Wiley-Blackwell. 408:
is one of the founders and major contributors to the field.
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Language in action: categories, lambdas, and dynamic logic
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A very accessible overview of the main ideas in the field.
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in the 1970s, building on an earlier tradition of work in
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One of the first textbooks. Accessible to undergraduates.
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Kaufmann, S.; Condoravdi, C. & Harizanov, V. (2006)
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Metasemantics: new essays on the foundations of meaning
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CrniÄŤ, Luka; Pesetsky, David; Sauerland, Uli (2014).
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that Paulina drinks beer occurs within the scope of
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Reflections of a formal semanticist as of Feb 2005.
587:Lewis, David (December 1970). "General Semantics". 870: 582: 580: 254:Paulina doesn't drink beer but she does drink wine 1513: 1422:Meaning and grammar: an introduction to semantics 1286:The Blackwell guide to the philosophy of language 1226: 1073:Philosophy, Language, and Artificial Intelligence 476:. These approaches live on in frameworks such as 378:. Montague proposed a formal system now known as 2248: 2045:Segmented discourse representation theory (SDRT) 1192: 699: 1464:Type logical grammar: categorial logic of signs 1461: 1137: 1135: 1133: 1131: 1129: 1127: 871:Coppock, Elizabeth; Champollion, Lucas (2019). 577: 786: 1564: 1494: 1442: 1350: 1347:The most comprehensive reference in the area. 1303: 1283: 1070: 1186: 1124: 967:(2 ed.). Wiley Blackwell. Section 4.3. 902:. Oxford: Wiley Blackwell. pp. 194–198. 850:. Language Science Press. pp. 217–219. 1370: 920:. In Gabbay, Dov; Guenthner, Franz (eds.). 890: 621: 1571: 1557: 912: 459:system, after the authors of the textbook 1240: 1178:. In CrniÄŤ, Luka; Sauerland, Uli (eds.). 1155: 1003:. Cambridge University Press. p. 92. 995: 915:"Quantifier scope in formal linguistics." 963:. In Lappin, Shalom; Fox, Chris (eds.). 823:. Wiley-Blackwell. pp. 2–3, 14–22. 400: 310:are grammatically associated with their 1058:The Stanford Encyclopedia of Philosophy 1013: 843: 744: 738: 2249: 1141: 952: 2000:Discourse representation theory (DRT) 1552: 1445:On the Logic and Learning of Language 1353:Informal lectures on formal semantics 1051: 675:Irene Heim; Angelika Kratzer (1998). 586: 386:for English, a logical system called 124:, while also incorporating work from 16:Study of meaning in natural languages 1545:Blackwell Publishers, Oxford, 2004.) 1487:Routledge Encyclopedia of Philosophy 646: 2262:Formal semantics (natural language) 1913:Quantificational variability effect 1580:Formal semantics (natural language) 1018:. Oxford: Oxford University Press. 302:Binding is the phenomenon in which 190: 160: 155: 13: 1277: 1173:"Introduction: Biographical Notes" 1032: 1007: 965:Handbook of Contemporary Semantics 14: 2278: 1373:Formal semantics: an introduction 913:Ruys, Eddy; Winter, Yoad (2011). 272:and a single surface form can be 21:Formal semantics (disambiguation) 1399:Semantics in generative grammar 1220: 1164: 1105: 1064: 1045: 989: 946: 922:Handbook of Philosophical Logic 906: 900:Semantics in Generative Grammar 884: 864: 837: 821:Semantics in generative grammar 677:Semantics in generative grammar 520:Discourse representation theory 461:Semantics in Generative Grammar 221:as an argument and returns the 152:and crosslinguistic variation. 1995:Combinatory categorial grammar 1375:. Cambridge University Press. 1333:Handbook of Logic and Language 874:Invitation to Formal Semantics 805: 780: 754:Journal of Philosophical Logic 747:"Defaults in Update Semantics" 693: 668: 640: 615: 482:combinatory categorial grammar 1: 1773:Antecedent-contained deletion 1056:. In Zalta, Edward N. (ed.). 1040:Formal approaches to modality 570: 530:Frame semantics (linguistics) 320:government and binding theory 109:. Semantics is distinct from 73:Formal semantics studies the 1081:10.1007/978-94-009-2727-8_10 236: 51:theoretical computer science 7: 930:10.1007/978-94-007-0479-4_3 791:. Oxford University Press. 654:. Oxford University Press. 626:. Oxford University Press. 493: 382:which consisted of a novel 325: 68: 10: 2283: 1654:Syntax–semantics interface 1514:Johan van Benthem (1995). 1335:(2nd ed.). Elsevier. 734:. Oxford University Press. 565:Syntax–semantics interface 369: 329: 295: 291: 245: 194: 164: 150:syntax–semantics interface 89:. Key topic areas include 18: 2183: 2146:Question under discussion 2096:Conversational scoreboard 2073: 1977: 1970: 1873:Intersective modification 1858:Homogeneity (linguistics) 1765: 1674: 1667: 1586: 1193:Michael Moortgat (1988). 973:10.1002/9781118882139.ch2 880:. Manuscript. p. 42. 700:Stefano Predelli (2013). 2201:Distributional semantics 1462:Glyn V. Morrill (1994). 433:Transformational grammar 248:Scope (formal semantics) 241: 2196:Computational semantics 1938:Subsective modification 1742:Propositional attitudes 1447:. Trafford Publishing. 1229:Theoretical Linguistics 787:Paul Pietroski (2018). 745:Veltman, Frank (1996). 515:Computational semantics 348:propositional attitudes 2226:Philosophy of language 1868:Inalienable possession 1848:Free choice inferences 1843:Faultless disagreement 1614:Generalized quantifier 1497:Type-logical semantics 1495:Bob Carpenter (1998). 1482:Type-logical Semantics 1443:Sean A. Fulop (2004). 1351:Emmon W. Bach (1989). 1304:John I. Saeed (2008). 1014:Portner, Paul (2009). 844:Kroeger, Paul (2019). 704:. Oxford Scholarship. 540:Philosophy of language 409: 274:semantically ambiguous 59:philosophy of language 2126:Plural quantification 2020:Inquisitive semantics 1985:Alternative semantics 1418:Sally McConnell-Ginet 1199:. Walter de Gruyter. 728:Inquisitive Semantics 702:Meaning without truth 535:Inquisitive semantics 500:Alternative semantics 404: 396:Rube Goldberg machine 330:Further information: 298:Binding (linguistics) 296:Further information: 246:Further information: 213:with the meanings of 195:Further information: 181:inquisitive semantics 165:Further information: 2111:Function application 1918:Responsive predicate 1908:Privative adjectives 1371:Ronnie Cann (1993). 1052:Starr, Will (2019). 231:function application 134:cognitive psychology 19:For other uses, see 2191:Cognitive semantics 2106:Existential closure 2050:Situation semantics 1953:Temperature paradox 1923:Rising declaratives 1888:Modal subordination 1863:Hurford disjunction 1823:Discourse relations 1416:Gennaro Chierchia; 1401:. Wiley-Blackwell. 1288:. Wiley-Blackwell. 1251:10.1515/tl.2006.001 789:Conjoining meanings 679:. Wiley-Blackwell. 560:Traditional grammar 488:Cognitive semantics 384:syntactic formalism 332:Linguistic modality 266:syntactic positions 2236:Semantics of logic 2161:Strict conditional 2136:Quantifier raising 2101:Downward entailing 2081:Autonomy of syntax 2010:Generative grammar 1990:Categorial grammar 1928:Scalar implicature 1833:Epistemic modality 1808:De dicto and de re 1480:Reinhard Muskens. 766:10.1007/BF00248150 601:10.1007/BF00413598 478:categorial grammar 474:surface structures 410: 223:truth value "true" 130:mathematical logic 2244: 2243: 2216:Logic translation 2179: 2178: 2171:Universal grinder 2156:Squiggle operator 2116:Meaning postulate 2055:Supervaluationism 2025:Intensional logic 2005:Dynamic semantics 1966: 1965: 1798:Crossover effects 1747:Tense–aspect–mood 1727:Lexical semantics 1533:Barbara H. Partee 1525:978-0-262-72024-3 1506:978-0-262-53149-8 1473:978-0-7923-3095-0 1454:978-1-4120-2381-8 1435:978-0-262-53164-1 1408:978-0-631-19713-3 1382:978-0-521-37610-5 1362:978-0-88706-772-3 1342:978-0-444-53726-3 1325:Johan van Benthem 1315:978-1-4051-5639-4 1295:978-0-631-23142-4 1206:978-90-6765-387-9 1090:978-94-010-7726-2 1025:978-0-19-929242-4 939:978-94-007-0478-7 896:Kratzer, Angelika 857:978-3-96110-136-8 847:Analyzing Meaning 830:978-0-631-19713-3 686:978-0-631-19713-3 652:Minimal semantics 525:Dynamic semantics 388:Intensional Logic 339:modal auxiliaries 306:elements such as 185:dynamic semantics 87:nature of meaning 35:natural languages 2274: 2221:Linguistics wars 2151:Semantic parsing 2040:Montague grammar 1975: 1974: 1818:Deontic modality 1672: 1671: 1659:Truth conditions 1594:Compositionality 1587:Central concepts 1573: 1566: 1559: 1550: 1549: 1529: 1510: 1477: 1458: 1439: 1424:(2nd ed.). 1412: 1395:Angelika Kratzer 1386: 1366: 1346: 1329:Alice Ter Meulen 1319: 1299: 1271: 1270: 1244: 1224: 1218: 1217: 1215: 1213: 1190: 1184: 1183: 1177: 1168: 1162: 1161: 1159: 1139: 1122: 1109: 1103: 1102: 1068: 1062: 1061: 1049: 1043: 1036: 1030: 1029: 1011: 1005: 1004: 993: 987: 986: 962: 950: 944: 943: 919: 910: 904: 903: 888: 882: 881: 879: 868: 862: 861: 841: 835: 834: 817:Angelika Kratzer 809: 803: 802: 784: 778: 777: 751: 742: 736: 735: 733: 722: 716: 715: 697: 691: 690: 672: 666: 665: 644: 638: 637: 619: 613: 612: 584: 555:Montague grammar 550:Richard Montague 510:Compositionality 457:Heim and Kratzer 441:Angelika Kratzer 421:Linguistics Wars 417:formal languages 380:Montague grammar 376:Richard Montague 360:Angelika Kratzer 270:surface position 197:Compositionality 191:Compositionality 174:truth conditions 167:Truth conditions 161:Truth conditions 156:Central concepts 140:ontology and an 126:computer science 79:compositionality 29:is the study of 27:Formal semantics 2282: 2281: 2277: 2276: 2275: 2273: 2272: 2271: 2247: 2246: 2245: 2240: 2175: 2069: 2030:Lambda calculus 1962: 1933:Sloppy identity 1893:Opaque contexts 1828:Donkey anaphora 1793:Counterfactuals 1761: 1663: 1582: 1577: 1526: 1507: 1474: 1455: 1436: 1409: 1383: 1363: 1343: 1316: 1296: 1280: 1278:Further reading 1275: 1274: 1225: 1221: 1211: 1209: 1207: 1191: 1187: 1175: 1169: 1165: 1157:10.1.1.826.5720 1140: 1125: 1110: 1106: 1091: 1069: 1065: 1050: 1046: 1037: 1033: 1026: 1012: 1008: 997:Szabolcsi, Anna 994: 990: 983: 960: 951: 947: 940: 917: 911: 907: 889: 885: 877: 869: 865: 858: 842: 838: 831: 810: 806: 799: 785: 781: 749: 743: 739: 731: 723: 719: 712: 698: 694: 687: 673: 669: 662: 645: 641: 634: 620: 616: 585: 578: 573: 496: 390:, and a set of 372: 344:counterfactuals 334: 328: 300: 294: 250: 244: 239: 199: 193: 169: 163: 158: 71: 24: 17: 12: 11: 5: 2280: 2270: 2269: 2264: 2259: 2242: 2241: 2239: 2238: 2233: 2228: 2223: 2218: 2213: 2211:Inferentialism 2208: 2206:Formal grammar 2203: 2198: 2193: 2187: 2185: 2181: 2180: 2177: 2176: 2174: 2173: 2168: 2163: 2158: 2153: 2148: 2143: 2138: 2133: 2131:Possible world 2128: 2123: 2118: 2113: 2108: 2103: 2098: 2093: 2088: 2083: 2077: 2075: 2071: 2070: 2068: 2067: 2062: 2057: 2052: 2047: 2042: 2037: 2032: 2027: 2022: 2017: 2015:Glue semantics 2012: 2007: 2002: 1997: 1992: 1987: 1981: 1979: 1978:Formal systems 1972: 1968: 1967: 1964: 1963: 1961: 1960: 1955: 1950: 1945: 1940: 1935: 1930: 1925: 1920: 1915: 1910: 1905: 1903:Polarity items 1900: 1895: 1890: 1885: 1880: 1875: 1870: 1865: 1860: 1855: 1850: 1845: 1840: 1835: 1830: 1825: 1820: 1815: 1810: 1805: 1800: 1795: 1790: 1788:Conservativity 1785: 1780: 1775: 1769: 1767: 1763: 1762: 1760: 1759: 1754: 1752:Quantification 1749: 1744: 1739: 1734: 1729: 1724: 1719: 1714: 1709: 1704: 1699: 1694: 1689: 1684: 1678: 1676: 1669: 1665: 1664: 1662: 1661: 1656: 1651: 1646: 1641: 1636: 1631: 1629:Presupposition 1626: 1621: 1616: 1611: 1606: 1601: 1596: 1590: 1588: 1584: 1583: 1576: 1575: 1568: 1561: 1553: 1547: 1546: 1530: 1524: 1511: 1505: 1492: 1478: 1472: 1459: 1453: 1440: 1434: 1413: 1407: 1387: 1381: 1368: 1361: 1355:. 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Index

Formal semantics (disambiguation)
grammatical
natural languages
formal
logic
mathematics
theoretical computer science
linguistics
philosophy of language
composed
denotations
compositionality
reference
nature of meaning
scope
modality
binding
tense
aspect
pragmatics
linguistics
philosophy
computer science
mathematical logic
cognitive psychology
Platonistic
externalist
cognition
syntax–semantics interface
Truth conditions

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