Chapter 5 Meaning5.1 Meanings of “meaning”5.2 The referential theory5.3 Sense relations5.3.1 Synonymy5.3.2 Antonymy5.3.3 Hyponymy5.4 Componential analysis5.5. Sentence meaning5.5.1 An integrated theory5.5.2 Logical semanticsSemantics: the study of the meaning of linguistic units, words and sentences in particular.5.1 Meanings of “meaning”Ogden & Richards: 16 major categories of meaning, with 22 sub-categories Ogden, C. K. & I. A. Richards. 1923. The Meaning of Meaning[M]. London: Routledge & Kegan Paul.Leech: 7 types of meaningLeech, G. 1981[1974]. Semantics: The study of Meaning [M]. Harmondsworth: Penguin.●Conceptual meaning (概念意义): similar to reference (指称)●Connotative meaning (内涵意义): some additional, especially emotive meaning.E.g. c.f. politician & statesmanNote: Connotation and denotation in philosophyCONNOTATION (内涵)DENOTATION (外延)E.g. human●Thematic meaning (主题意义)Question: How to explain the meaning of a word in the conceptual meaning?E.g. DESK1) to point to a desk directly2) to describe it as “a piece of furniture with a flat top and four legs, at which one reads and writes.3) to paraphrase it as “a desk is a kind of table, which has drawers”4) to give the Chinese equivalent 书桌5.2 The referential theoryProblems:The concrete thing pointed at differs from the abstract concept behind the thing.The object pointed at does not directly correspond to the concept.CONCEPTSemantic triangleconceptword thingC.f. Sense & reference1) Sense: the abstract properties of an entity——concept ——connotation Reference: the concrete entities having these entities ——denotation2) Every word has a sense, but not every word has a reference.E.g. grammatical words like but, if, and5.3 Sense relations●Sense●ReferenceThree kinds of sense relations: sameness relation, oppositeness relation, and inclusiveness relation5.3.1 SynonymySYNONYMY: the sameness relation●Stylistic differenceE.g. Little Tom ___________ a toy bear. c.f. buy & purchase●Connotative difference.E.g. “I’m thrifty. You are economical. And he is stingy.”●Dialectical differenceE.g. c.f. autumn & fall5.3.2 AntonymyAntonymy: the oppositeness relation(1) Gradable antonymyE.g. good: bad, long: short, big: smallgradable---comparative and superlative degree; lexicalizationE.g. good & badgraded against different norms---no absolute criterionE.g. c.f. a big car & a small planeone member of a pair, usually the term for the higher degree, serves as the cover term E.g. How old are you?C.f. Unmarked & marked●Unmarked: the term is more often used●Marked: the term is less used, odd, or unusual(2) Complementary antonymyE.g alive:dead, male:femaleNOTE 1: Not only the assertion of one means the denial of the other, the denial of one also means the assertion of the other.NOTE 2: No comparative or superlative degrees are allowed.E.g. alive, dead, 半死不活*John is more dead than Mary.C.f. John is more mad than stupid.C.f. Gradable and complementary1. The difference between the gradable and the complementary is somewhat similar tothat between the contrary and the contradictory.In logic, a proposition is the contrary of another if it is impossible for both to true, or false.E.g. The coffee is hot.The coffee is cold.A proposition is the contradictory of another if it is impossible for both to be true, orfalse.E.g. This is a male cat.This is a female cat.a b a bgradable complementary2. The norm in complementary is absolute.E.g. male & female3. There is no cover term for the two members of a pair.E.g. Is it a boy or a girl?*How male is it?Exception: true & false (Pp 167)(3) Converse antonymyE.g. buy: sell, lend: borrowX buys something from Y. == Y sells something to X.RELATIONAL OPPOSITES5.3.3 HyponymyHYPONYMYSUPERORDINATEHYPONYMSCO-HYPONYMSflowerrose peony jasmine chrysanthemum tulip violet carnationAUTO-HYPONMYlivingplant animalbird fish insect animalhuman animaltiger lion elephant …5.4 Componential analysisSEMANTIC FEATURES/SEMANTIC COMPONENTS: semantic units smaller than the meaning of a word. (Pp 170)E.g. boy: HUMAN, YOUNG, MALEwoman: HUMAN, ADULT, FEMALEYOUNG: ～ADULTFEMALE: ～MALEE.g. father = PARENT (x, y) & MALE (x)mother = PARENT (x, y) & ～MALE (x)son = CHILD (x, y) & MALE (x)die = BECOME (x, (～ALIVE(x)))kill = CAUSE (x, (BECOME (y, (～ALIVE (y)))))murder = INTEND (x, (CAUSE (x, (BECOME (y, (～ALIVE (y)))))))➢Synonyms: words or expressions with the same semantic componentsE.g. bachelor, unmarried man: HUMAN, ADULT, UNMARRIED➢Antonyms: words with contrasting semantic componentsE.g. cold & hot, give & take➢Hyponyms: words which have all the semantic components of anotherE.g. boy & girl are hyponyms of childSense relations between sentences:E.g.1.a. * John killed Bill but Bill didn’t die.b. * John killed Bill but he was not the cause of Bill’s death.c. * John murdered Bill without intending to.EntailmentE.g. a. John killed Bill.b. Bill died.Difficulties1) Polysemous words will have different sets of semantic components.2) The difference between the semantic components differs.C.f. MALE and FEMALE (absolute) & ADULT and YOUNG (relative)boy and man (clear-cut)& girl and woman (vague)3) There may be words whose semantic components are difficult to ascertain. Question: How to express the semantic features?METALANGUAGE (原语言): a language used for talking about another language 5.5. Sentence meaning1) The sentence meaning is not merely a sum of word meaning, and it is related to word order.E.g. a. The man chased the dog.b. The dog chased the man.2) Sentences have thematic meaning.E.g. a. I’ve already seen that film.b. That film I’ve already seen.3) The sentence meaning is connected with its syntactic structure.E.g. The son of Pharaoh’s daughter is the daughter of Pharaoh’s son.5.5.1 An integrated theoryPrinciple of COMPOSITIONALITYsystematic informationgrammatical classificationdictionary idiosyncratic information Semantic theory semantic informationprojection rules●Dictionary: to provide the grammatical classification and semantic information ofwords➢Grammatical classificationGrammatical markers/syntactic markersSystematic information✧Systemic part —Semantic markers: (Male), (Female), (Human), (Animal)✧Idiosyncratic information —Distinguishers(辨义成分)E.g. bachelora. [who has never married];b. [young knights serving under the standard of another knight];c. [who has the first or lowest academic degree];d. [young fur seal when without a mate during the breeding time].●Projection rules: responsible for combining the meanings of words togetherSNP VPDet N V NPthe man hits Det Nthe Adj Ncolorful ballSelection restrictionsProblems1. The distinction between semantic marker and distinguisher is not very clear.E.g. (Young)2. The collocation of words may not be accounted for by grammatical markers, semantic markers or selection restrictions.E.g. a. He said hello to the nurse and she greeted back.b. My cousin is a male nurse.c. ? My cousin is a female nurse.3. The use of semantic markers like (Human), (Male) and (Adult), is elements of an artificial meta-language.5.5.2 Logical semanticssentence meaningPREPOSITIONAL LOGIC(命题逻辑)/ PROPOSITIONAL CALCULUS(命题演算)/ SENTENTIAL CALCULUS(句子演算):proposition≈sentence meaningTruth value: truth or falsePredicate logic (Pp 180)p (simple proposition)one-place connective: negation ～or ﹁two-place connective: conjunction &disjunction ∨implicationequivalence ≡orConnective conjunction: similar to the English “and”Connective disjunction: similar to the English “or”Connective implication/conditional implication: corresponds to the English “if…then”Connective equivalence/bicond itional: corresponds to “iff…then”C.f. Antonyms & “not”●With complementary antonyms, the denial of one is the assertion of the other.●With gradable, that is not necessarily the case.E.g. John isn’t old.John is old.C.f. Conjunction & “and”●ConjunctionE.g. He missed the train and arrived late.●“And”E.g. He arrived late and missed the train.*He missed the train and arrived late.C.f. Implication & “if…then”●ImplicationE.g. If he is an Englishman, he speaks English.If snow is white, grass is green.E.g. If snow is black, grass is green.●“If…then”E.g.? If snow is white, grass is green.*If snow is black, grass is green.In sum, propositional logic, concerned with the semantic relation between propositions, treats a simple proposition as an unanalyzed whole.E.g. All men are rational.Socrates is a man.Therefore, Socrates is rational.PREDICATE LOGIC/PREDICATE CALCCULUS studies the internal structure of simple propositions.Question: How to analyze Socrates is a man?Argument (主目): a term which refers to some entity about which a statement is being madePredicate (谓词): a term which ascribes some property, or relation, to the entity, or entities, referred toSocrates is the argument, and man is the predicate.Token: M(s)Note: A simple proposition is seen as a function (函数) of its argument. The truth value of a proposition varies with the argument.M(s) =1, M(c) =0E.g. John loves Mary.L (j, m)John gave Mary a book. G (j, m, b)kill: CAUSE (x, (BECOME (y, (～ALIVE (y)))))C (x, (B (y, (～A (y)))))All men are rational.1. All is the universal quantifier and symbolized by an upturned A—∀in logic.2. The argument men does not refer to any particular entity, which is known as avariable and symbolized as x, y.Notation: ∀x (M(x) R(x))“For all x, it is the case that, if x is a man, then x is rational.”Some men are clever.Some is the existential quantifier and symbolized by a reversed E—∃Notation: ∃x (M(x) & C(x))C.f. Universal quantifier & existential quantifier1.Quantifiers2.Implication connectiveE.g.All men are rational.There is no man who is not rational.Notation: ∀x (M(x) R(x)) ≡～∃x(M(x) & ～R(x))(1) ∀x(P(x))≡～∃x(～P(x))～∀x (P(x))≡∃x (～P(x))∃x (P(x)) ≡～∀x (～P(x))～∃x (P(x)) ≡∀x (～P(x))(2) ∀x(M(x) R(x))M(s)∴R(s)(3) ∀x(M(x)) R(x))R(s)∴R(s)(4) ∃x (M(x) & C(x))M(s)∴C(s)。