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Proposition

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401:/states of affairs in which it is true) is that on the Russellian account, two propositions that are true in all the same states of affairs can still be differentiated. For instance, the proposition "two plus two equals four" is distinct on a Russellian account from the proposition "three plus three equals six". If propositions are sets of possible worlds, however, then all mathematical truths (and all other necessary truths) are the same set (the set of all possible worlds). 54: 1487: 1041: 429:, mental states are often taken to primarily consist in propositional attitudes. The propositions are usually said to be the "mental content" of the attitude. For example, if Jane has a mental state of believing that it is raining, her mental content is the proposition 'it is raining.' Furthermore, since such mental states are 448:
entities, that is, existing in an abstract, non-physical realm. So some recent views of propositions have taken them to be mental. Although propositions cannot be particular thoughts since those are not shareable, they could be types of cognitive events or properties of thoughts (which could be the
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in common language, resulting in a mistaken equivalence of the statements. “I am Spartacus” spoken by Spartacus is the declaration that the individual speaking is called Spartacus and it is true. When spoken by John Smith, it is a declaration about a different speaker and it is false. The term “I”
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The above definitions can result in two identical sentences/sentence-tokens appearing to have the same meaning, and thus expressing the same proposition and yet having different truth-values, as in "I am Spartacus" said by Spartacus and said by John Smith, and "It is Wednesday" said on a Wednesday
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by using a variable for the problematic term, so that “X is a philosopher” can have Socrates or Plato substituted for X, illustrating that “Socrates is a philosopher” and “Plato is a philosopher” are different propositions. Similarly, “I am Spartacus” becomes “X is Spartacus”, where X is replaced
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includes only operators and propositional constants as symbols in its language. The propositions in this language are propositional constants, which are considered atomic propositions, and composite (or compound) propositions, which are composed by recursively applying operators to propositions.
324:. An Aristotelian proposition may take the form of "All men are mortal" or "Socrates is a man." In the first example, the subject is "men", predicate is "mortal" and copula is "are", while in the second example, the subject is "Socrates", the predicate is "a man" and copula is "is". 994:
A related problem is when identical sentences have the same truth-value, yet express different propositions. The sentence “I am a philosopher” could have been spoken by both Socrates and Plato. In both instances, the statement is true, but means something different.
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Philosophical debates surrounding propositions as they relate to propositional attitudes have also recently centered on whether they are internal or external to the agent, or whether they are mind-dependent or mind-independent entities. For more, see the entry on
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will be assigned. The rules specify how the operators, function and predicate symbols, and quantifiers are to be concatenated with other strings. A proposition is then a string with a specific form. The form that a proposition takes depends on the type of logic.
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in terms of synonymity. For example, "Snow is white" (in English) and "Schnee ist weiß" (in German) are different sentences, but they say the same thing, so they express the same proposition. Another definition of proposition is:
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even remarking that "the conception we associate with the word ‘proposition’ may be something of a jumble of conflicting desiderata". The term is often used broadly and has been used to refer to various related concepts.
417:(belief, desire, etc.) that one can take toward a proposition (e.g. 'it is raining,' 'snow is white,' etc.). In English, propositions usually follow folk psychological attitudes by a "that clause" (e.g. "Jane believes 2146: 577:
include variables, operators, predicate and function symbols, and quantifiers as symbols in their languages. The propositions in these logics are more complex. First, one typically starts by defining a
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A number of philosophers and linguists claim that all definitions of a proposition are too vague to be useful. For them, it is just a misleading concept that should be removed from philosophy and
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Explaining the relation of propositions to the mind is especially difficult for non-mentalist views of propositions, such as those of the logical positivists and Russell described above, and
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can be declarative assertions of propositions, without forming a sentence nor even being linguistic (e.g. traffic signs convey definite meaning which is either true or false).
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in mathematics, maintained that the indeterminacy of translation prevented any meaningful discussion of propositions, and that they should be discarded in favor of sentences.
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is a proposition. This more complex structure of propositions allows these logics to make finer distinctions between inferences, i.e., to have greater expressive power.
1519: 882: 786: 728: 382:" (or, whether it is the case that "it will snow"). Desire, belief, doubt, and so on, are thus called propositional attitudes when they take this sort of content. 205:. For instance if one believes that the sky is blue, what one believes is the proposition that the sky is blue. A proposition can also be thought of as a kind of 809: 751: 857: 833: 693: 266: 246: 2336: 2374: 2236: 2848: 2098: 2341: 1083: 351:
Some philosophers argue that some (or all) kinds of speech or actions besides the declarative ones also have propositional content. For example,
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In other words, the example problems can be averted if sentences are formulated with precision such that their terms have unambiguous meanings.
185:. For instance the sentence "The sky is blue" denotes the proposition that the sky is blue. However, crucially, propositions are not themselves 197:
sentence "Schnee ist weiß" even though the two sentences are not the same. Similarly, propositions can also be characterized as the objects of
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if given some alternate world where the sky is green. However, a number of alternative formalizations have been proposed, notably the
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In modern logic, the term "proposition" is often used for sentences of a formal language. In this usage, propositions are formal
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held that propositions were structured entities with objects and properties as constituents. One important difference between
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if they have constituents, in some broad sense. Assuming a structured view of propositions, one can distinguish between
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Two meaningful declarative sentence-tokens express the same proposition, if and only if they mean the same thing.
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are the only worlds in which the sky is blue, the proposition that the sky is blue could be modeled as the set
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and return a truth value. For example, the proposition that the sky is blue could be represented as a function
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Two meaningful declarative sentences express the same proposition, if and only if they mean the same thing.
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are often added for convenience in using the language, but do not play a logical role.) Symbols are
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here is simply a short way of saying that the corresponding concatenation rule has been applied.
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Numerous refinements and alternative notions of proposition-hood have been proposed including
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This article is about the term in philosophy. For a theorem of lesser importance, see
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Stalnaker, Robert (1972). "Pragmatics". In Davidson, Donald; Harman, Gilbert (eds.).
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objects which can be studied independently of the meaning they would receive from a
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as "a statement or an idea that people can consider or discuss whether it is true."
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A function symbol applied to the number of terms required by the function symbol's
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A formal language begins with different types of symbols. These types can include
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Attempts to provide a workable definition of proposition include the following:
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In relation to the mind, propositions are discussed primarily as they fit into
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if any, where it is not. A proposition can be modeled equivalently with the
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An operator applied to the number of propositions required by its arity, or
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A predicate symbol applied to the number of terms required by its arity, or
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means different things, so “I am Spartacus” means different things.
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Logic, Language and Meaning: Intensional Logic and Logical Grammar
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with terms representing the individuals Spartacus and John Smith.
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Ciardelli, Ivano; Groenendijk, Jeroen; Roelofsen, Floris (2019).
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Propositions have played a large role throughout the history of
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An Essay Towards a Real Character, and a Philosophical Language
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sentence "Snow is white" denotes the same proposition as the
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under the indicator function, which is sometimes called the
1244:"Mathematics | Introduction to Propositional Logic | Set 1" 1186:. In King, Jeffrey C.; Soames, Scott; Speaks, Jeff (eds.). 986:
and on a Thursday. These examples reflect the problem of
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Propositions are standardly understood semantically as
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something (namely, propositions), they are said to be
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if given the actual world as input, but would return
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Joaquin, Jeremiah Joven B.; Franklin, James (2021).
1130:"Propositions (Stanford Encyclopedia of Philosophy)" 2987: 2877: 2781: 2774: 2569: 2478: 2471: 2390: 2259: 2108: 1960: 1797: 1544: 78:. Unsourced material may be challenged and removed. 913: 876: 851: 827: 803: 780: 745: 722: 687: 474:a proposition is a particular kind of sentence (a 366:Propositions are also spoken of as the content of 260: 240: 1102:"Aristotle: Logic — From Words into Propositions" 336:to distinguish them from what is expressed by an 2849:Segmented discourse representation theory (SDRT) 3051:[[Category:Formal semantics (natural language) 1368:. Oxford University Press. pp. 13, 20–22. 355:present propositions, being inquiries into the 549:rules, in order to construct strings to which 2368: 1513: 559:propositional, sentential, or statement logic 8: 1275:. University of Chicago Press. p. 122. 908: 891: 216:Formally, propositions are often modeled as 948:) which are about a particular individual, 2778: 2475: 2375: 2361: 2353: 2237:Wittgenstein on Rules and Private Language 1520: 1506: 1498: 209:: Collins Dictionary has a definition for 1215:"A causal-mentalist view of propositions" 889: 864: 844: 820: 793: 758: 735: 700: 680: 253: 233: 138:Learn how and when to remove this message 1155:"Platonism in metaphysics: Propositions" 312:as a sentence which affirms or denies a 1432:The Stanford Encyclopedia of Philosophy 1426:McGrath, Matthew; Frank, Devin (2018), 1395:The Stanford Encyclopedia of Philosophy 1305:The Stanford Encyclopedia of Philosophy 1181:"Propositions as cognitive event types" 1071: 635:A quantifier applied to a proposition. 2804:Discourse representation theory (DRT) 1389:Fitch, Greg; Nelson, Michael (2018), 1324:Irene Heim; Angelika Kratzer (1998). 1192:. New York: Oxford University Press. 839:of the proposition. For instance, if 334:closed formulae (or logical sentence) 7: 1294: 1292: 1123: 1121: 1095: 1093: 76:adding citations to reliable sources 2717:Quantificational variability effect 2384:Formal semantics (natural language) 1159:Stanford Encyclopedia of Philosophy 1106:Internet Encyclopedia of Philosophy 753:if any, where the sky is blue, and 332:Often, propositions are related to 1457:. NJ USA: Prentice-Hall. pp.  25: 643:is a binary predicate symbol and 449:same across different thinkers). 359:of them. On the other hand, some 1485: 1328:. Wiley-Blackwell. p. 304. 1128:McGrath, Matthew; Frank, Devin. 1086:from the original on 2017-11-26. 1039: 998:These problems are addressed in 601:is a binary function symbol and 571:predicate, quantificational, or 486:, optionally with the help of a 320:, optionally with the help of a 52: 1326:Semantics in generative grammar 1189:New Thinking about Propositions 1017:, who granted the existence of 527:predicate (or relation) symbols 63:needs additional citations for 2799:Combinatory categorial grammar 2177:Tractatus Logico-Philosophicus 769: 763: 711: 705: 444:'s view that propositions are 1: 2577:Antecedent-contained deletion 2058:Principle of compositionality 1430:, in Zalta, Edward N. (ed.), 1393:, in Zalta, Edward N. (ed.), 1303:, in Zalta, Edward N. (ed.), 2207:Philosophical Investigations 154:is a central concept in the 36:Proposition (disambiguation) 2048:Modality (natural language) 954:particularized propositions 569:The types of logics called 537:.(Grouping symbols such as 478:) that affirms or denies a 455:internalism and externalism 3135: 2458:Syntax–semantics interface 2187:Language, Truth, and Logic 1927:Theological noncognitivism 1812:Contrast theory of meaning 1807:Causal theory of reference 1538:Index of language articles 960:Objections to propositions 932:. Propositions are called 494:Syntactic characterization 328:By the logical positivists 40: 29: 27:Bearer of truth or falsity 2950:Question under discussion 2900:Conversational scoreboard 2677:Intersective modification 2662:Homogeneity (linguistics) 2327: 2272:Philosophy of information 1872:Mediated reference theory 1535: 1301:"Structured Propositions" 1060:Probabilistic proposition 663:Semantic characterization 557:The type of logic called 32:Proposition (mathematics) 3005:Distributional semantics 2197:Two Dogmas of Empiricism 926:inquisitive propositions 914:{\displaystyle \{w,w'\}} 41:Not to be confused with 3104:Propositional attitudes 3000:Computational semantics 2742:Subsective modification 2546:Propositional attitudes 1998:Use–mention distinction 1842:Direct reference theory 1414:Structured Propositions 1391:"Singular Propositions" 1153:Balaguer, Mark (2016). 1055:Categorical proposition 942:Russellian propositions 934:structured propositions 930:structured propositions 647:is a quantifier, then ∀ 535:propositional constants 457:in philosophy of mind. 411:propositional attitudes 310:categorical proposition 270:structured propositions 203:propositional attitudes 3114:Propositional calculus 3074:Philosophy of language 3030:Philosophy of language 2672:Inalienable possession 2652:Free choice inferences 2647:Faultless disagreement 2418:Generalized quantifier 1932:Theory of descriptions 1867:Linguistic determinism 1529:Philosophy of language 1299:King, Jeffrey (2019), 1179:Soames, Scott (2014). 983: 970: 915: 878: 853: 829: 805: 782: 781:{\displaystyle f(v)=F} 747: 724: 723:{\displaystyle f(w)=T} 689: 545:together according to 285:philosophy of language 262: 242: 187:linguistic expressions 156:philosophy of language 34:. For other uses, see 2930:Plural quantification 2824:Inquisitive semantics 2789:Alternative semantics 2043:Mental representation 1978:Linguistic relativity 1862:Inquisitive semantics 1451:Quine, W. V. (1970). 1366:Inquisitive Semantics 979: 966: 938:singular propositions 916: 879: 854: 830: 806: 783: 748: 725: 690: 376:that I have a new car 372:intentional attitudes 263: 243: 180:declarative sentences 2915:Function application 2722:Responsive predicate 2712:Privative adjectives 2227:Naming and Necessity 2137:De Arte Combinatoria 1936:Definite description 1897:Semantic externalism 1494:at Wikimedia Commons 1080:"Collins Dictionary" 950:general propositions 888: 863: 843: 819: 792: 757: 734: 699: 679: 613:are variables, then 508:well-formed formulas 476:declarative sentence 421:it is raining"). In 405:Relation to the mind 380:whether it will snow 252: 232: 189:. For instance, the 72:improve this article 3069:Logical expressions 2995:Cognitive semantics 2910:Existential closure 2854:Situation semantics 2757:Temperature paradox 2727:Rising declaratives 2692:Modal subordination 2667:Hurford disjunction 2627:Discourse relations 2277:Philosophical logic 2267:Analytic philosophy 2073:Sense and reference 1952:Verification theory 1907:Situation semantics 1454:Philosophy of Logic 669:indicator functions 470:As noted above, in 395:Ludwig Wittgenstein 18:Logical proposition 3109:Mathematical logic 3040:Semantics of logic 2965:Strict conditional 2940:Quantifier raising 2905:Downward entailing 2885:Autonomy of syntax 2814:Generative grammar 2794:Categorial grammar 2732:Scalar implicature 2637:Epistemic modality 2612:De dicto and de re 2127:Port-Royal Grammar 2023:Family resemblance 1942:Theory of language 1917:Supposition theory 1416:by Jeffrey C. King 1134:Plato.stanford.edu 911: 877:{\displaystyle w'} 874: 849: 837:characteristic set 825: 804:{\displaystyle v,} 801: 778: 746:{\displaystyle w,} 743: 720: 685: 472:Aristotelian logic 466:Aristotelian logic 461:Treatment in logic 423:philosophy of mind 346:logical positivism 306:Aristotelian logic 258: 238: 3048: 3047: 3020:Logic translation 2983: 2982: 2975:Universal grinder 2960:Squiggle operator 2920:Meaning postulate 2859:Supervaluationism 2829:Intensional logic 2809:Dynamic semantics 2770: 2769: 2602:Crossover effects 2551:Tense–aspect–mood 2531:Lexical semantics 2350: 2349: 1852:Dynamic semantics 1490:Media related to 1335:978-0-631-19713-3 1047:Philosophy portal 852:{\displaystyle w} 828:{\displaystyle T} 688:{\displaystyle f} 261:{\displaystyle F} 241:{\displaystyle T} 148: 147: 140: 122: 16:(Redirected from 3126: 3025:Linguistics wars 2955:Semantic parsing 2844:Montague grammar 2779: 2622:Deontic modality 2476: 2463:Truth conditions 2398:Compositionality 2391:Central concepts 2377: 2370: 2363: 2354: 2312:Formal semantics 2260:Related articles 2252: 2242: 2232: 2222: 2212: 2202: 2192: 2182: 2172: 2162: 2152: 2142: 2132: 2122: 1892:Relevance theory 1887:Phallogocentrism 1522: 1515: 1508: 1499: 1489: 1473: 1472: 1448: 1442: 1441: 1440: 1439: 1423: 1417: 1411: 1405: 1404: 1403: 1402: 1386: 1380: 1379: 1361: 1355: 1354: 1346: 1340: 1339: 1321: 1315: 1314: 1313: 1312: 1296: 1287: 1286: 1265: 1259: 1258: 1256: 1255: 1240: 1234: 1233: 1231: 1229: 1210: 1204: 1203: 1185: 1176: 1170: 1169: 1167: 1165: 1150: 1144: 1143: 1141: 1140: 1125: 1116: 1115: 1113: 1112: 1100:Groarke, Louis. 1097: 1088: 1087: 1076: 1049: 1044: 1043: 1042: 946:Bertrand Russell 920: 918: 917: 912: 907: 883: 881: 880: 875: 873: 858: 856: 855: 850: 834: 832: 831: 826: 810: 808: 807: 802: 788:for every world 787: 785: 784: 779: 752: 750: 749: 744: 730:for every world 729: 727: 726: 721: 694: 692: 691: 686: 639:For example, if 597:For example, if 523:function symbols 391:Bertrand Russell 378:", or "I wonder 353:yes–no questions 296:Historical usage 267: 265: 264: 259: 247: 245: 244: 239: 143: 136: 132: 129: 123: 121: 80: 56: 48: 21: 3134: 3133: 3129: 3128: 3127: 3125: 3124: 3123: 3054: 3053: 3049: 3044: 2979: 2873: 2834:Lambda calculus 2766: 2737:Sloppy identity 2697:Opaque contexts 2632:Donkey anaphora 2597:Counterfactuals 2565: 2467: 2386: 2381: 2351: 2346: 2323: 2302:School of Names 2255: 2250: 2240: 2230: 2220: 2217:Of Grammatology 2210: 2200: 2190: 2180: 2170: 2160: 2150: 2140: 2130: 2120: 2104: 1956: 1902:Semantic holism 1882:Non-cognitivism 1822:Conventionalism 1793: 1540: 1531: 1526: 1482: 1477: 1476: 1469: 1450: 1449: 1445: 1437: 1435: 1425: 1424: 1420: 1412: 1408: 1400: 1398: 1388: 1387: 1383: 1376: 1363: 1362: 1358: 1348: 1347: 1343: 1336: 1323: 1322: 1318: 1310: 1308: 1298: 1297: 1290: 1283: 1267: 1266: 1262: 1253: 1251: 1242: 1241: 1237: 1227: 1225: 1212: 1211: 1207: 1200: 1183: 1178: 1177: 1173: 1163: 1161: 1152: 1151: 1147: 1138: 1136: 1127: 1126: 1119: 1110: 1108: 1099: 1098: 1091: 1078: 1077: 1073: 1068: 1045: 1040: 1038: 1035: 1000:predicate logic 962: 900: 886: 885: 866: 861: 860: 841: 840: 817: 816: 790: 789: 755: 754: 732: 731: 697: 696: 677: 676: 665: 496: 468: 463: 437:mental states. 415:folk psychology 407: 399:possible worlds 388: 330: 303: 298: 250: 249: 230: 229: 144: 133: 127: 124: 81: 79: 69: 57: 46: 39: 28: 23: 22: 15: 12: 11: 5: 3132: 3130: 3122: 3121: 3116: 3111: 3106: 3101: 3096: 3091: 3089:Syntax (logic) 3086: 3081: 3079:Semantic units 3076: 3071: 3066: 3056: 3055: 3046: 3045: 3043: 3042: 3037: 3032: 3027: 3022: 3017: 3015:Inferentialism 3012: 3010:Formal grammar 3007: 3002: 2997: 2991: 2989: 2985: 2984: 2981: 2980: 2978: 2977: 2972: 2967: 2962: 2957: 2952: 2947: 2942: 2937: 2935:Possible world 2932: 2927: 2922: 2917: 2912: 2907: 2902: 2897: 2892: 2887: 2881: 2879: 2875: 2874: 2872: 2871: 2866: 2861: 2856: 2851: 2846: 2841: 2836: 2831: 2826: 2821: 2819:Glue semantics 2816: 2811: 2806: 2801: 2796: 2791: 2785: 2783: 2782:Formal systems 2776: 2772: 2771: 2768: 2767: 2765: 2764: 2759: 2754: 2749: 2744: 2739: 2734: 2729: 2724: 2719: 2714: 2709: 2707:Polarity items 2704: 2699: 2694: 2689: 2684: 2679: 2674: 2669: 2664: 2659: 2654: 2649: 2644: 2639: 2634: 2629: 2624: 2619: 2614: 2609: 2604: 2599: 2594: 2592:Conservativity 2589: 2584: 2579: 2573: 2571: 2567: 2566: 2564: 2563: 2558: 2556:Quantification 2553: 2548: 2543: 2538: 2533: 2528: 2523: 2518: 2513: 2508: 2503: 2498: 2493: 2488: 2482: 2480: 2473: 2469: 2468: 2466: 2465: 2460: 2455: 2450: 2445: 2440: 2435: 2433:Presupposition 2430: 2425: 2420: 2415: 2410: 2405: 2400: 2394: 2392: 2388: 2387: 2382: 2380: 2379: 2372: 2365: 2357: 2348: 2347: 2345: 2344: 2339: 2334: 2328: 2325: 2324: 2322: 2321: 2316: 2315: 2314: 2304: 2299: 2294: 2289: 2284: 2279: 2274: 2269: 2263: 2261: 2257: 2256: 2254: 2253: 2243: 2233: 2223: 2213: 2203: 2193: 2183: 2173: 2163: 2153: 2143: 2133: 2123: 2112: 2110: 2106: 2105: 2103: 2102: 2095: 2090: 2085: 2080: 2075: 2070: 2065: 2060: 2055: 2053:Presupposition 2050: 2045: 2040: 2035: 2030: 2025: 2020: 2015: 2010: 2005: 2000: 1995: 1990: 1985: 1980: 1975: 1970: 1964: 1962: 1958: 1957: 1955: 1954: 1949: 1944: 1939: 1929: 1924: 1919: 1914: 1909: 1904: 1899: 1894: 1889: 1884: 1879: 1874: 1869: 1864: 1859: 1854: 1849: 1844: 1839: 1834: 1832:Deconstruction 1829: 1824: 1819: 1814: 1809: 1803: 1801: 1795: 1794: 1792: 1791: 1786: 1781: 1776: 1771: 1766: 1761: 1756: 1751: 1746: 1741: 1736: 1731: 1726: 1721: 1716: 1711: 1706: 1701: 1696: 1691: 1686: 1681: 1676: 1671: 1666: 1661: 1656: 1651: 1646: 1641: 1636: 1631: 1626: 1621: 1616: 1611: 1606: 1601: 1596: 1591: 1586: 1581: 1576: 1571: 1566: 1561: 1556: 1550: 1548: 1542: 1541: 1536: 1533: 1532: 1527: 1525: 1524: 1517: 1510: 1502: 1496: 1495: 1481: 1480:External links 1478: 1475: 1474: 1467: 1443: 1428:"Propositions" 1418: 1406: 1381: 1374: 1356: 1353:. p. 381. 1341: 1334: 1316: 1288: 1281: 1260: 1235: 1205: 1198: 1171: 1145: 1117: 1089: 1070: 1069: 1067: 1064: 1063: 1062: 1057: 1051: 1050: 1034: 1031: 1023:P. F. Strawson 972:which defines 961: 958: 944:, named after 910: 906: 903: 899: 896: 893: 872: 869: 848: 824: 800: 797: 777: 774: 771: 768: 765: 762: 742: 739: 719: 716: 713: 710: 707: 704: 684: 673:possible world 664: 661: 637: 636: 633: 630: 595: 594: 587: 586:A variable, or 495: 492: 467: 464: 462: 459: 406: 403: 387: 384: 329: 326: 302: 299: 297: 294: 257: 237: 222:possible world 146: 145: 60: 58: 51: 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 3131: 3120: 3117: 3115: 3112: 3110: 3107: 3105: 3102: 3100: 3097: 3095: 3092: 3090: 3087: 3085: 3082: 3080: 3077: 3075: 3072: 3070: 3067: 3065: 3062: 3061: 3059: 3052: 3041: 3038: 3036: 3033: 3031: 3028: 3026: 3023: 3021: 3018: 3016: 3013: 3011: 3008: 3006: 3003: 3001: 2998: 2996: 2993: 2992: 2990: 2986: 2976: 2973: 2971: 2968: 2966: 2963: 2961: 2958: 2956: 2953: 2951: 2948: 2946: 2943: 2941: 2938: 2936: 2933: 2931: 2928: 2926: 2923: 2921: 2918: 2916: 2913: 2911: 2908: 2906: 2903: 2901: 2898: 2896: 2893: 2891: 2888: 2886: 2883: 2882: 2880: 2876: 2870: 2867: 2865: 2862: 2860: 2857: 2855: 2852: 2850: 2847: 2845: 2842: 2840: 2837: 2835: 2832: 2830: 2827: 2825: 2822: 2820: 2817: 2815: 2812: 2810: 2807: 2805: 2802: 2800: 2797: 2795: 2792: 2790: 2787: 2786: 2784: 2780: 2777: 2773: 2763: 2760: 2758: 2755: 2753: 2750: 2748: 2745: 2743: 2740: 2738: 2735: 2733: 2730: 2728: 2725: 2723: 2720: 2718: 2715: 2713: 2710: 2708: 2705: 2703: 2702:Performatives 2700: 2698: 2695: 2693: 2690: 2688: 2685: 2683: 2682:Logophoricity 2680: 2678: 2675: 2673: 2670: 2668: 2665: 2663: 2660: 2658: 2655: 2653: 2650: 2648: 2645: 2643: 2640: 2638: 2635: 2633: 2630: 2628: 2625: 2623: 2620: 2618: 2615: 2613: 2610: 2608: 2605: 2603: 2600: 2598: 2595: 2593: 2590: 2588: 2585: 2583: 2580: 2578: 2575: 2574: 2572: 2568: 2562: 2559: 2557: 2554: 2552: 2549: 2547: 2544: 2542: 2539: 2537: 2534: 2532: 2529: 2527: 2524: 2522: 2519: 2517: 2516:Evidentiality 2514: 2512: 2509: 2507: 2504: 2502: 2499: 2497: 2494: 2492: 2489: 2487: 2484: 2483: 2481: 2477: 2474: 2470: 2464: 2461: 2459: 2456: 2454: 2451: 2449: 2446: 2444: 2441: 2439: 2436: 2434: 2431: 2429: 2426: 2424: 2421: 2419: 2416: 2414: 2411: 2409: 2406: 2404: 2401: 2399: 2396: 2395: 2393: 2389: 2385: 2378: 2373: 2371: 2366: 2364: 2359: 2358: 2355: 2343: 2340: 2338: 2335: 2333: 2330: 2329: 2326: 2320: 2317: 2313: 2310: 2309: 2308: 2305: 2303: 2300: 2298: 2297:Scholasticism 2295: 2293: 2290: 2288: 2285: 2283: 2280: 2278: 2275: 2273: 2270: 2268: 2265: 2264: 2262: 2258: 2249: 2248: 2244: 2239: 2238: 2234: 2229: 2228: 2224: 2219: 2218: 2214: 2209: 2208: 2204: 2199: 2198: 2194: 2189: 2188: 2184: 2179: 2178: 2174: 2168: 2164: 2159: 2158: 2154: 2149: 2148: 2144: 2139: 2138: 2134: 2129: 2128: 2124: 2119: 2118: 2114: 2113: 2111: 2107: 2101: 2100: 2096: 2094: 2091: 2089: 2086: 2084: 2081: 2079: 2076: 2074: 2071: 2069: 2066: 2064: 2061: 2059: 2056: 2054: 2051: 2049: 2046: 2044: 2041: 2039: 2036: 2034: 2031: 2029: 2026: 2024: 2021: 2019: 2016: 2014: 2011: 2009: 2006: 2004: 2001: 1999: 1996: 1994: 1991: 1989: 1986: 1984: 1981: 1979: 1976: 1974: 1971: 1969: 1966: 1965: 1963: 1959: 1953: 1950: 1948: 1945: 1943: 1940: 1937: 1933: 1930: 1928: 1925: 1923: 1920: 1918: 1915: 1913: 1912:Structuralism 1910: 1908: 1905: 1903: 1900: 1898: 1895: 1893: 1890: 1888: 1885: 1883: 1880: 1878: 1875: 1873: 1870: 1868: 1865: 1863: 1860: 1858: 1855: 1853: 1850: 1848: 1845: 1843: 1840: 1838: 1837:Descriptivism 1835: 1833: 1830: 1828: 1825: 1823: 1820: 1818: 1817:Contrastivism 1815: 1813: 1810: 1808: 1805: 1804: 1802: 1800: 1796: 1790: 1787: 1785: 1782: 1780: 1777: 1775: 1772: 1770: 1767: 1765: 1762: 1760: 1757: 1755: 1752: 1750: 1747: 1745: 1742: 1740: 1737: 1735: 1732: 1730: 1727: 1725: 1722: 1720: 1717: 1715: 1712: 1710: 1707: 1705: 1702: 1700: 1697: 1695: 1692: 1690: 1687: 1685: 1682: 1680: 1677: 1675: 1672: 1670: 1667: 1665: 1662: 1660: 1657: 1655: 1652: 1650: 1647: 1645: 1642: 1640: 1637: 1635: 1632: 1630: 1627: 1625: 1622: 1620: 1617: 1615: 1612: 1610: 1607: 1605: 1602: 1600: 1597: 1595: 1592: 1590: 1587: 1585: 1582: 1580: 1577: 1575: 1572: 1570: 1567: 1565: 1562: 1560: 1557: 1555: 1552: 1551: 1549: 1547: 1543: 1539: 1534: 1530: 1523: 1518: 1516: 1511: 1509: 1504: 1503: 1500: 1493: 1488: 1484: 1483: 1479: 1470: 1468:0-13-663625-X 1464: 1460: 1456: 1455: 1447: 1444: 1433: 1429: 1422: 1419: 1415: 1410: 1407: 1396: 1392: 1385: 1382: 1377: 1375:9780198814795 1371: 1367: 1360: 1357: 1352: 1345: 1342: 1337: 1331: 1327: 1320: 1317: 1306: 1302: 1295: 1293: 1289: 1284: 1282:0-226-28088-8 1278: 1274: 1270: 1269:Gamut, L.T.F. 1264: 1261: 1249: 1248:GeeksforGeeks 1245: 1239: 1236: 1224: 1220: 1216: 1209: 1206: 1201: 1199:9780199693764 1195: 1191: 1190: 1182: 1175: 1172: 1160: 1156: 1149: 1146: 1135: 1131: 1124: 1122: 1118: 1107: 1103: 1096: 1094: 1090: 1085: 1081: 1075: 1072: 1065: 1061: 1058: 1056: 1053: 1052: 1048: 1037: 1032: 1030: 1028: 1024: 1020: 1016: 1012: 1007: 1004: 1001: 996: 992: 989: 982: 978: 975: 969: 965: 959: 957: 955: 951: 947: 943: 939: 935: 931: 927: 922: 904: 901: 897: 894: 870: 867: 846: 838: 822: 814: 813:inverse image 798: 795: 775: 772: 766: 760: 740: 737: 717: 714: 708: 702: 682: 674: 670: 662: 660: 658: 654: 650: 646: 642: 634: 631: 628: 627: 626: 624: 620: 616: 612: 608: 604: 600: 592: 588: 585: 584: 583: 581: 576: 574: 567: 565: 560: 555: 552: 548: 544: 540: 536: 532: 528: 524: 520: 516: 511: 509: 505: 501: 493: 491: 489: 485: 481: 477: 473: 465: 460: 458: 456: 450: 447: 443: 442:Gottlob Frege 438: 436: 432: 428: 424: 420: 416: 412: 404: 402: 400: 396: 392: 385: 383: 381: 377: 373: 369: 364: 362: 358: 354: 349: 347: 343: 342:truth-bearers 339: 335: 327: 325: 323: 319: 315: 311: 308:identifies a 307: 300: 295: 293: 290: 286: 282: 278: 273: 271: 255: 235: 227: 223: 219: 214: 212: 208: 204: 200: 196: 192: 188: 184: 181: 177: 173: 169: 165: 161: 157: 153: 142: 139: 131: 128:February 2023 120: 117: 113: 110: 106: 103: 99: 96: 92: 89: â€“  88: 87:"Proposition" 84: 83:Find sources: 77: 73: 67: 66: 61:This article 59: 55: 50: 49: 44: 37: 33: 19: 3064:Propositions 3050: 2970:Type shifter 2945:Quantization 2895:Continuation 2762:Veridicality 2642:Exhaustivity 2607:Cumulativity 2526:Indexicality 2506:Definiteness 2501:Conditionals 2437: 2428:Logical form 2245: 2235: 2225: 2215: 2205: 2195: 2185: 2175: 2155: 2145: 2135: 2125: 2115: 2097: 2038:Metalanguage 2033:Logical form 1992: 1988:Truth-bearer 1947:Unilalianism 1857:Expressivism 1684:Wittgenstein 1629:von Humboldt 1546:Philosophers 1492:Propositions 1453: 1446: 1436:, retrieved 1431: 1421: 1409: 1399:, retrieved 1394: 1384: 1365: 1359: 1350: 1344: 1325: 1319: 1309:, retrieved 1304: 1272: 1263: 1252:. Retrieved 1250:. 2015-06-19 1247: 1238: 1226:. Retrieved 1222: 1218: 1208: 1188: 1174: 1162:. Retrieved 1158: 1148: 1137:. Retrieved 1133: 1109:. Retrieved 1105: 1074: 1008: 1005: 997: 993: 984: 980: 973: 971: 967: 963: 953: 949: 941: 937: 933: 929: 923: 836: 671:that take a 666: 656: 652: 648: 644: 640: 638: 622: 618: 614: 610: 606: 602: 598: 596: 582:as follows: 575:-order logic 572: 568: 563: 556: 551:truth-values 543:concatenated 512: 497: 469: 451: 439: 430: 418: 408: 389: 379: 375: 370:and similar 365: 350: 338:open formula 331: 304: 301:By Aristotle 274: 269: 220:which map a 215: 210: 151: 149: 134: 125: 115: 108: 101: 94: 82: 70:Please help 65:verification 62: 2890:Context set 2864:Type theory 2747:Subtrigging 2511:Disjunction 2438:Proposition 2282:Linguistics 2247:Limited Inc 2167:On Denoting 1993:Proposition 1644:de Saussure 1609:Ibn Khaldun 1015:W. V. Quine 974:proposition 564:Application 531:quantifiers 435:intentional 357:truth value 289:David Lewis 281:linguistics 226:truth value 211:proposition 152:proposition 43:preposition 3099:Term logic 3084:Statements 3058:Categories 3035:Pragmatics 2687:Mirativity 2453:Speech act 2408:Entailment 2403:Denotation 2342:Discussion 2337:Task Force 2287:Pragmatics 2078:Speech act 2008:Categories 1922:Symbiosism 1877:Nominalism 1789:Watzlawick 1669:Bloomfield 1589:Chrysippus 1438:2020-08-20 1401:2019-12-11 1311:2022-12-30 1254:2019-12-11 1139:2014-06-23 1111:2019-12-10 1066:References 695:such that 539:delimiters 427:psychology 386:By Russell 201:and other 98:newspapers 3094:Semantics 2839:Mereology 2775:Formalism 2657:Givenness 2582:Cataphora 2570:Phenomena 2561:Vagueness 2491:Ambiguity 2443:Reference 2423:Intension 2413:Extension 2319:Semiotics 2307:Semantics 2157:Alciphron 2093:Statement 2028:Intension 1968:Ambiguity 1847:Dramatism 1827:Cratylism 1579:Eubulides 1574:Aristotle 1554:Confucius 1351:Semantics 1219:Organon F 1027:statement 1011:semantics 988:ambiguity 547:recursive 519:operators 515:variables 504:semantics 500:syntactic 480:predicate 446:Platonist 314:predicate 218:functions 160:semantics 3119:Ontology 2988:See also 2878:Concepts 2752:Telicity 2587:Coercion 2541:Negation 2536:Modality 2486:Anaphora 2332:Category 2292:Rhetoric 2117:Cratylus 2088:Sentence 2063:Property 1983:Language 1961:Concepts 1799:Theories 1764:Strawson 1749:Davidson 1739:Hintikka 1734:Anscombe 1679:Vygotsky 1634:Mauthner 1604:Averroes 1594:Zhuangzi 1584:Diodorus 1564:Cratylus 1271:(1991). 1084:Archived 1033:See also 905:′ 871:′ 2496:Binding 2099:more... 2003:Concept 1744:Dummett 1719:Gadamer 1714:Chomsky 1699:Derrida 1689:Russell 1674:Bergson 1659:Tillich 1619:Leibniz 1559:Gorgias 1228:30 June 1164:30 June 484:subject 368:beliefs 318:subject 191:English 176:falsity 112:scholar 2925:Monads 2472:Topics 2251:(1988) 2241:(1982) 2231:(1980) 2221:(1967) 2211:(1953) 2201:(1951) 2191:(1936) 2181:(1921) 2171:(1905) 2161:(1732) 2151:(1668) 2141:(1666) 2131:(1660) 2121:(n.d.) 2083:Symbol 1784:Searle 1774:Putnam 1724:Kripke 1709:Austin 1694:Carnap 1639:Ricœur 1624:Herder 1614:Hobbes 1465:  1372:  1332:  1279:  1196:  940:(also 609:, and 533:, and 488:copula 322:copula 272:view. 199:belief 195:German 183:denote 168:bearer 114:  107:  100:  93:  85:  2617:De se 2521:Focus 2479:Areas 2448:Scope 2109:Works 2018:Class 1779:Lewis 1769:Quine 1754:Grice 1704:Whorf 1664:Sapir 1649:Frege 1599:Xunzi 1569:Plato 1184:(PDF) 591:arity 482:of a 431:about 361:signs 316:of a 277:logic 224:to a 172:truth 164:logic 119:JSTOR 105:books 2068:Sign 1973:Cant 1759:Ryle 1729:Ayer 1654:Boas 1463:ISBN 1459:1–14 1370:ISBN 1330:ISBN 1277:ISBN 1230:2021 1194:ISBN 1166:2021 1019:sets 928:and 859:and 580:term 425:and 419:that 207:idea 91:news 2869:TTR 2013:Set 1029:". 815:of 174:or 170:of 74:by 3060:: 2169:" 1461:. 1291:^ 1246:. 1223:28 1221:. 1217:. 1157:. 1132:. 1120:^ 1104:. 1092:^ 1082:. 1013:. 921:. 617:+( 605:, 529:, 525:, 521:, 517:, 348:. 283:, 279:, 162:, 158:, 150:A 2376:e 2369:t 2362:v 2165:" 1938:) 1934:( 1521:e 1514:t 1507:v 1471:. 1378:. 1338:. 1285:. 1257:. 1232:. 1202:. 1168:. 1142:. 1114:. 909:} 902:w 898:, 895:w 892:{ 868:w 847:w 823:T 799:, 796:v 776:F 773:= 770:) 767:v 764:( 761:f 741:, 738:w 718:T 715:= 712:) 709:w 706:( 703:f 683:f 657:z 655:, 653:y 651:, 649:x 645:∀ 641:= 623:z 621:+ 619:y 615:x 611:z 607:y 603:x 599:+ 593:. 573:n 256:F 236:T 141:) 135:( 130:) 126:( 116:¡ 109:¡ 102:¡ 95:¡ 68:. 45:. 38:. 20:)

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