English Semantics

When homonyms can occur in the same position in utterances, the result is lexical ambiguity, as in, for example, “I was on my way to the bank.” Of course, the ambiguity is not likely to be sustained in a longer discourse. A following utterance, for example, is likely to carry information about depositing or withdrawing money, on the one hand, or, on the other hand, fishing or boating. Quite often homonyms belong to different lexical categories and therefore do not give rise to ambiguity. For instance, seen is a form of the verb see while scene is an unrelated noun; feet is a plural noun with concrete reference, feat is a singular noun, rather abstract in nature; and so on.
Ambiguity occurs also because a longer linguistic form has a literal sense and a figurative sense.
Skeleton in the closet can mean ‘an unfortunate event that is kept a family secret.’ With this meaning skeleton in the closet is a single lexeme; with its ‘literal’ meaning it is a phrase composed of several lexemes.

A lexeme is a conjunction of form and meaning. The form is fairly easy to determine: in writing it is a sequence of letters, in speech a sequence of phonemes. But meaning is more difficult to determine.
In homonyms, such as bank ‘a financial institution’ and bank ‘the edge of a stream,’ pronunciation and spelling are identical but meanings are unrelated. In other pairs, numerous in English, such as steak and stake, pronunciation is identical but spelling is different, reflecting the fact that the words were once different in their phonological form. English also has pairs of homographs, two words that have different pronunciations but the same spelling; for example, bow, rhyming with go and referring to an instrument for shooting arrows, and bow, rhyming with cow and indicating a bending of the body as a form of respectful greeting.

Lexicographers and semanticists sometimes have to decide whether a form with a wide range of meanings is an instance of polysemy or of homonymy. A polysemous lexeme has several(apparently) related meanings. The noun head, for instance, seems to have related meanings when we speak of the head of a person, the head of a company, head of a table or bed, a head of lettuce or cabbage. If we take the anatomical referent as the basic one, the other meanings can be seen as derived from the basic one, either reflecting the general shape of the human head or, more abstractly, the relation of the head to the rest of the body.

Dictionaries recognize the distinction between polysemy and homonymy by making a polysemous item a single dictionary entry and making homophonous lexemes two or more separate entries. Thus head is one entry and bank is entered twice. Producers of dictionaries often make a decision in this regard on the basis of etymology, which is not necessarily relevant, and in fact separate entries are necessary in some instances when two lexemes have a common origin. The form pupil, for example, has two different senses, ‘part of the eye’ and ‘school child.’ Historically these have a common origin but at present they are semantically unrelated. Similarly, flower and flour were originally ‘the same word,’ and so were the verbs to poach (a way of cooking in water) and to poach (‘to hunt [animals] on another person’s land’), but the meanings are now far apart and all dictionaries treat them as homonyms, with separate listing. The distinction between homonymy and polysemy is not an easy one to make. Two lexemes are either identical in form or not, but relatedness of meaning is not a matter of yes or no; it is a matter of more or less.

A lexeme may consist of just one meaningful part like these:

arm chair happy guitar lemon shoe

or of more than one meaningful part like these armchair unhappy guitarist lemonade shoehorn The technical term for a minimal meaningful part is morpheme.
Arm, chair, happy, guitar, lemon, shoe and horn are all morphemes; none of them can be divided into something smaller that is meaningful. They are free morphemes because they occur by themselves. The elements un-, -ist and -ade in unhappy, guitarist and lemonade respectively, are also morphemes; they are bound morphemes which are always attached to something else, as in these examples.

A dog barked.
The above is a meaningful sentence which is composed of smaller meaningful parts. One of the smaller parts is the phrase a dog which refers to a certain animal. We call this phrase a referring expression.
A referring expression is a piece of language that is used AS IF it is linked to something outside language, some living or dead entity or concept or group of entities or concepts. Most of the next chapter is about referring expressions. The entity to which the referring expression is linked is its referent. Another meaningful part is the verb bark, which is also linked to something outside of language, an activity associated, here, with the referring expression a dog. We call this meaningful part a predicate. The use of language generally involves naming or referring to some entity and saying, or predicating, something about that entity. The sentence also has several kinds of grammatical meanings. Every language has a grammatical system and different languages have somewhat different grammatical systems. We can best explain what grammatical meanings are by showing how the sentence A dog barked differs from other sentences that have the same, or a similar, referring expression and the same predicate.
Grammatical meanings, then, are expressed in various ways: the arrangement of words (referring expression before the predicate, for instance), by grammatical affixes like the -s attached to the noun dog and the -ed attached to the verb bark, and by grammatical words, or function words, like the ones illustrated in these sentences: do (in the form did), not, a, some, and the. Now let’s return to dog and bark. Their meanings are not grammatical but lexical, with associations outside language. They are lexemes. A lexeme is a minimal unit that can take part in referring or predicating. All the lexemes of a language constitute the lexicon of the language, and all the lexemes that you know make up your personal lexicon. The term ‘lexeme’ was proposed by Lyons (1977:18–25) to avoid complexities associated with the vague word ‘word.’

(a) go, going, went, gone
(b) put up with, kick the bucket, dog in the manger

How many words are there in group (a)? Four or one? There are four forms and the forms have four different meanings, but they have a shared meaning, which is lexical, and other meanings of a grammatical nature added to the lexical meaning. We say that these four forms constitute one lexeme which, for convenience we designate as go. Group (b) presents a different sort of problem. The expression put up with combines the forms of put and up and with, but its meaning is not the combination of their separate meanings. Therefore put up with, in the sense of ‘endure,’ ‘tolerate,’ is a single lexeme. The same must be true of kick the bucket meaning ‘die’ and dog in the manger when it refers to a person who will not let others share what he has, even though he does not use it himself.