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3 Choices, features and cross-classification

3 Choices, features and cross-classification

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Network structure



sex

female









person

male



sex







sex





member





Figure 3.8 Sex as a choice between ‘male’ and ‘female’



and so on. We can now consider how to build these choices into a network, with

the help of a new primitive relation called ‘or’.

Think of sex (aka ‘gender’, a term that I prefer to keep for grammar), one

of the most important choices that we make when classifying people. Sex contrasts ‘male’ and ‘female’ and we assume that everyone must have either male

or female sex, and nobody can have both. The question is how to include this

information in network structure.

3.3.1



Features╇ nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn



The first step is to recognize that the sex called ‘male’ is different

from the type of person we call ‘male’. A male person has the sex ‘male’, which

isn’t a person but a property of a person. Similarly, an old person has the property

‘old age’; but old age isn’t itself a person.

What then is the sex ‘male’ or the age ‘old’? It’s a concept, but a very abstract one compared with, say, ‘person’. It probably doesn’t have any properties

of its own, and its main job in our minds is to help us to organize our ideas into

contrasting sets of alternatives. Even more abstract is the relation ‘sex’ or ‘age’,

which links a person to one of these concepts. To anticipate the discussion of

such things in language (7.3), we can call sex and age a FEATURE. A feature is

a kind of relational concept whose value is one of these abstract concepts, shown

in Figure 3.8 as the male and female symbols. The diamond arrows are explained

below.

3.3.2



A notation for choice sets╇ nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn



The second step in understanding features such as sex and age is

to look at the way in which the alternatives are organized so that we know, for

example, that ‘male’ is a possible value for ‘sex’, but not for ‘age’. In each case,

the alternatives are defined either by a list of members (e.g. ‘male’, ‘female’) or

by a description of the typical member (‘a measure of time’); in more technical

terms, they’re defined by a SET, a notion that you may have met in mathematics.

(Wikipedia:€‘Set’.)



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In Section 2.4.3 I called this a CHOICE SET, a set from which only one

member may be chosen (or, if you prefer, a collection of ‘opposites’). Each choice

set is itself a concept, with its own network node which we can represent in a diagram simply as a dot, such as the dot in the top right-hand corner of Figure 3.8.

Its members are the competing alternatives such as ‘male’ and ‘female’, so if we

know that ‘male’ belongs to such a set, we can find out by consulting the set node

that the only alternative is ‘female’.

The relation between ‘male’ or ‘female’ and its choice set is different from

any other relation we’ve considered so far, and seems to be another in our small

set of primitive relations. The obvious short name for this link is OR. If two or

more concepts have ‘or’ links to the same node, then they must be competing

alternatives.

In terms of notation, the ‘or’ relation is shown as an arrow with a diamond at

its base. (If you want a mnemonic, think of the diamonds that are sometimes used

in flow charts to show decision points because they have a number of alternative

attachment points.) You can see this notation in Figure 3.8.

3.3.3



The benefits of features, and their limitations╇ nnnnnnnnnnnnnnn



Like any other relational concept, a feature can be used even when we

don’t know its value€– when, for example, we want to know the value, as when

we ask What’s the sex of your baby? This is the unspecified use of ‘sex’ shown at

the bottom of Figure 3.8 by the arrow linking ‘person’ to an unspecified member

of the choice set, which must of course be either ‘male’ or ‘female’.

Features are important in generalizing about similarities or differences. For

example, if we can talk about the feature ‘colour’, then we can say that my shoes

both have the same colour; and then we can generalize to all shoes, saying that

one’s shoes should always have the same colour. It would be easy to say that

they’re both brown, or both black, but to make the generalization we have to be

able to separate the colour from the shoe and treat it as something that the shoe

‘has’ (comparable with its sole and heel).

This is what we do whenever we match two things ‘with respect to’ (or ‘in

terms of’) some abstract feature such as size, colour or whatever€– a very commonplace and basic mental operation, but one which requires some high-level

mental apparatus. Continuing with shoes, they’re also supposed to match for

size, so ‘size’ is another feature; but they must be opposite for whatever we call

the left/right contrast€– ‘leftness’? ‘rightness’? This is certainly a feature because

we use it for comparisons, but it’s one that has no name.

It’s very tempting at this point to think that features are so useful that we can use

them instead of taxonomies. (Unfortunately, this is a temptation that many linguists

haven’t been able to resist€– Wikipedia:€‘Feature (linguistics)’.) For example, if

‘person’ has the feature ‘sex’, contrasting values called ‘male’ and ‘female’, we

might be tempted to dispense with the categories with the same names, ‘male’

and ‘female’. But this would be a mistake, because most subclasses aren’t neatly



Network structure



person



male







man



female



boy



adult



woman







child



girl



Figure 3.9 Man, boy, woman and girl defined



organized in terms of features. What’s the ‘opposite’ of ‘shoe’, or ‘dog’? It’s far

too easy to think of other examples like these where feature structures just don’t

seem to be relevant.

Ordinary classification is very much simpler than features and it’s important

to keep the two ideas separate. However, one of the attractions of features is that

they provide very clear evidence for one of the general characteristics of ordinary

classification:€CROSS-CLASSIFICATION.

Take the categories ‘male’, ‘female’, ‘adult’ and ‘child’, which provide a very

basic cross-classification of people in which sex cuts across age to define four

categories:€‘male adult’, ‘female adult’, ‘male child’ and ‘female child’€– in other

words, ‘man’, ‘woman’, ‘boy’ and ‘girl’. The choices are shown, using the notation introduced above, in Figure 3.9, together with the four categories that the

choices allow. The main point is that the analysis does not allow combinations

like ‘man–woman’ or ‘man–boy’.

Where next?

Advanced:€Part II, Chapter 7.3:€Morpho-syntactic features, agreement and unrealized

words



3.4



Examples of relational taxonomies



3.4.1



Kinship╇ nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn



Kinship deals with relations between members of a family€– a central

part of the I-society discussed in Section 2.6. We’ve already considered a very



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small set of kinship concepts including the relation between my mother and me

(Figure 3.5 and Figure 3.6), but we can now develop these ideas a little.

Take the Simpsons, for example. (In case you don’t know who they are, you’ll

find them well documented in Wikipedia.) The family has five members (plus a

cat and a dog which, interestingly, Wikipedia lists as family members, but which

I shall ignore for present purposes):













Homer, the father;

Marge, the mother;

Bart, the ten-year old son;

Lisa, the eight-year old daughter;

Maggie, the baby.



There are more distant relatives, but this little nuclear family will give us plenty

to talk about. Our analysis, therefore, recognizes five Simpson entities:€Homer,

Marge, Bart, Lisa and Maggie, who could easily be classified for sex and maturity in the taxonomy of Figure 3.9.

What we’re concerned with here is not how to classify them as individuals, but

rather how to classify their relationships to one another. We need relations such

as ‘father’, ‘mother’ and ‘parent’, but we also need to be able to talk about how

they fit together€– about the relations among the relations, a very abstract idea

indeed but (I claim) one that’s central to all our thinking.

What’s needed is a two-level taxonomy of relations in which sex is ignored at

the higher level but recognized at the lower; so, for example, ‘parent’ divides into

‘mother’ and ‘father’ and ‘child’ into ‘daughter’ and ‘son’. For the other higherlevel relations, we have to use somewhat more rarified terms:€‘spouse’ and ‘sibling’, but although the term sibling isn’t part of ordinary English for most of us,

there can be little doubt that everyone recognizes the concept. We happen not to

have an ordinary name for it, but German does:€Geschwister, which is a perfectly

ordinary word with much the same stylistic feel as our parent. The taxonomy is

shown in Figure 3.10.

And now for the complicated part:€combining these two taxonomies. If there

are five entities and everyone is related to everyone else, then there are 5 × 5 =

25 related pairs; but to make it even more complicated, every pair involves two

different relations depending on who you take as the ‘argument’ (in the sense

defined in Section 3.2 above). For example, think of Homer and Marge:€ he’s

her husband, but she’s also his wife. This gives no fewer than 50 relations to be

defined just in this tiny nuclear family.

The point is not, however, that family relations are too complicated to understand. On the contrary, in everyday life we have no difficulty at all in coping with

them. The point is that even our most ordinary cognitive abilities are impressive.

Any theory of cognition must recognize these abilities (and especially so if it’s

laying the grounds for a theory of the most complex cognitive ability of all,

language).



Network structure



relative



parent



mother



child



father



daughter



spouse



son



wife



sibling



husband sister



brother



Figure 3.10 A taxonomy of family relations



spouse



husband

wife

Homer



son



Marge



mother



father

Bart

Figure 3.11 How three of the Simpsons are related



In practical terms, of course, it’s hard to diagram 50 relations. I’ll just diagram a few of them and leave the rest to your imagination. Figure 3.11 shows

just three of the Simpsons:€Homer, Marge and Bart. The main point of this diagram is to show how their relations can be classified via the relation taxonomy in

Figure€3.10. As I explained in connection with Figure 3.6 in Section 3.2 above,

all the relations should strictly speaking be shown in the same way as ‘son’, with

an isA link to the general category; but this would have made the diagram even

more complicated, so I cheated by adding labels directly to the relation arcs.

As I explained earlier, this rather complicated diagram merely lays out for

inspection a tiny fragment of what you and I know already and understand without any difficulty at all. Indeed, any two-year-old can recognize basic family

relations and their implications in terms of who sleeps with who, who cuddles

who (and how), who looks after who and so on. We return to these ideas in

Section 8.7.5, where they illustrate the link between language and culture.



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Summary of this subsection:









We have a rich repertoire of relational concepts for distinguishing kinship relations which involves a taxonomy and pairs of reciprocal relations (such as child–parent).

We apply these relations in a rich cognitive network for the members of

our family whose complexity is comparable with the network we need

for language.



Where next?

Advanced:€Next subsection



3.4.2



Interpersonal relations╇ nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn



I-society provides our next example as well. I make no apology for

this, because social relations provide an important foundation for the even more

complicated relations found in language; but in any case, a lot of linguistic choices

are sensitive to the social relations between the speaker and hearer. For example,

I have a number of names that people choose according to how they see their

relation to me:€I’m Dick to my wife and friends, Dad to my daughters and either

Professor Hudson or just Prof to my dentist. Such linguistic choices involve what

sociologists call INTERPERSONAL RELATIONS, the relations between two

people who interact in some way. (Wikipedia:€‘Interpersonal relationship’.)

A particularly important analysis of interpersonal relations was proposed

by the psychologist Roger Brown. It recognizes two contrasts:€ POWER and

SOLIDARITY. According to this analysis, your relation to someone else has a

‘vertical’ dimension of power in which you’re superior, equal or subordinate to

the other person, and a ‘horizontal’ dimension of solidarity, ranging from distant

strangers to close intimates. (Wikipedia:€‘Power (communication)’ and ‘Social

solidarity’.)

In principle, these two dimensions cross-classify one another, giving six logically possible combinations of superior, equal and subordinate with intimate and

stranger. Among intimates, your child (or cat) is a subordinate, your friend is

an equal and your mother is a superior; and among strangers, a child is a subordinate, another student is an equal and your boss or professor is a superior.

But the six combinations don’t all have the same status when we think of their

consequences for behaviour. At least in modern western society, we tend to treat

equals and inferiors in much the same way, in contrast with the respectful behaviour we reserve for superiors; and we have many ways of expressing intimacy

but very few for showing distance other than the absence of intimate behaviour

(Hudson 2007c:€238).

This polarization emerges very clearly in language, where we often find just

two options, one for intimate non-superiors and the other for superior non-



Network structure



eye contact

other

use title and/or

family name



use given name



superior



intimate



kiss



intimate

superior



use title (e.g. Mum)



Figure 3.12 Four interactive relations and their default behaviours



intimates; for example, French speakers use tu when speaking to the first and

vous to the second, and English speakers use given names to the first (e.g. Dick)

but titles and family names (e.g. Professor Hudson or Sir) to the second. These

two combinations are the ones where behaviour patterns cluster most clearly, in

contrast with other combinations where we may be quite uncertain how to behave. For instance, what do you call your teacher who you’ve known for years?

It seems, then, that interpersonal relations are organized round just four relational concepts. Simply interacting with someone establishes a basic interpersonal

relation which we may call OTHER, and which is linked to certain behaviour

patterns such as eye contact which show that we are ready to communicate with

them. (Wikipedia:€‘Social interaction’.)

In addition, there are two special kinds of ‘other’:€ INTIMATE and

SUPERIOR, each of which carries various implications for behaviour. These

two can combine in the prototypical INTIMATE SUPERIOR, one’s parents

and other senior family members, a relationship with its own special linguistic

signal:€terms such as Mum or Auntie, which are used instead of the usual first

names demanded for intimates. This analysis is shown in Figure 3.12, which for

simplicity shows the relevant behaviours as properties.

This analysis of interpersonal relations shows the benefit of organizing relations in a taxonomy. The analysis only recognizes two kinds of relations, in contrast with the six kinds defined by three degrees of power and two of solidarity,

and thereby explains why some power–solidarity combinations are more clearly

defined than others.

Moreover, by organizing the categories in this way we allow multiple default

inheritance to apply. This allows just the right generalizations, with ‘eye contact’ applying to all relations, whereas ‘use given name’ applies by default to



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typical intimates, but not to intimate superiors. This is why Bart Simpson calls

his mother Mom rather than the default Marge, although he applies other default

intimate behaviours such as kissing.

Summary of this subsection:









Interpersonal relations are the relations between people who happen to

be interacting at a given time.

These relations can be analysed in terms of two independent dimensions:

power (superior, equal or inferior) and solidarity (intimate or distant).

Although the dimensions are independent, they interact in defining behaviour in terms of just two ‘clear cases’:€‘intimate’ and ‘superior’.



Where next?

Advanced:€Next subsection



3.4.3



Space and timꕇ nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn



For a very different kind of relationship, we turn to relations of space

and time, for which we typically use prepositions such as in, behind, before and

during as in (1) to (4).

(1)

(2)

(3)

(4)



The ball is in the box.

The ball is behind the box.

It rained before the party.

It rained during the party.



In each of these examples, the position of one thing (in space or in time) is

defined in relation to another; for example, the ball is located relative to the box,

and not the other way round. The first two examples would be good answers

to:€Where is the ball?, but not to:€Where is the box?





Landmarks

Objectively speaking, the box and the ball may be the same size and in

other respects equal, but these sentences assume a particular perspective in which

their relation is unequal. Psychologists describe the box as the ‘background’,

or simply ‘ground’, and the ball as the ‘figure’, and almost every introductory

psychology textbook includes the picture in Figure 3.13 to make the point that

what you see€– in our terms, your percept (3.1)€– depends on how you divide the

visual input into a figure and a background. In this example, if you take the white

part as the background, then you see two faces (i.e. these constitute your figure);

but if the black part is your background, then your figure is a vase. And of course

you can switch between the two percepts, but you can’t have it both ways at the

same time. (Wikipedia:€‘Figure-ground (perception)’.)



Network structure



Figure 3.13 Figure or ground?



Although the term ‘background’ seems reasonable when talking about pictures, it’s less helpful when we’re talking about balls and boxes, where we don’t

think of the box as in any sense the ‘background’ to the ball; indeed, the background in a picture isn’t an object but just the part of the picture that’s left over

when we remove the figure.

A much better term is LANDMARK, introduced by the linguist Ronald

Langacker, who recognizes that it means much the same as the psychologists’

‘background’ (Langacker 1987:€233). Landmarks are fixed points that we use for

navigating, and are always identifiable objects such as church towers or trees.

This comparison is exactly right for balls and boxes, or rain and parties, where

we use the box or the party as a fixed point from which the ball or rain takes its

‘position’ in either space or time. (We shall see below that there is probably no

need for the term ‘figure’.)

The theoretical claim implied by this discussion is that when we think about

where a thing is or when an event happens, we have to think in terms of landmarks; and similarly, when we’re planning our own behaviour such as deciding

where to put things, we plan in terms of landmarks. Consequently, the first step

in saying where something is or should be is to find a suitable landmark.





The Best Landmark Principle



To be suitable, a landmark must combine two qualities:€ ‘prominence’ and nearness. These qualities combine to define the BEST LANDMARK

PRINCIPLE:€ the best landmark is the one that offers the best balance of



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an i n t r o d u c t io n t o wo r d g r a mm ar



(a)



landmark



shirt



socks



(b)

lm

chair



shirt



lm



chair



socks



lm



Figure 3.14 Landmarks tend to be local



prominence and nearness. Prominence means being easy to find; if you want to

tell me where my socks are, there’s no point in telling me they’re next to my shirt

if I don’t already know where this is, and in general we choose landmarks that

are either already known or easy to find. (Jumping ahead to the ideas of Section

4.2, a good landmark is one that’s easy to activate mentally.)

Moreover, an object’s landmark should always be easier to find than the object itself, otherwise it’s not much help as a clue to the object’s whereabouts.

Consequently, we typically use larger and more prominent objects as landmarks

for smaller and less prominent ones. But size and prominence aren’t the only

things that count, and in syntax we shall see that a very small word such as is can

act as a landmark for much more prominent ones on the basis of more abstract

structural considerations.

Prominence is balanced against nearness, since a nearby landmark may be

more helpful than a more prominent but distant one. Take my lost socks again. If

all that counted was prominence, then we might choose the entire house rather

than my shirt. But however easy the house may be to find, it’s too remote:€the area

‘in the house’ takes much longer to search than the area that’s ‘by the shirt’.

Our desire to strike the best balance between these two qualities helps to

explain a very general fact about landmarks that are linked in a chain so that

some landmark A is the landmark for B, which then serves as the landmark for

C. What about the relation between C and A?

Suppose you tell me that my shirt is to the left of the chair, while my socks are

to the right of my shirt; where do you think my socks are in relation to the chair?

In principle, they could be either to the right or the left of the chair, but most of

us would assume that they’re on the same side of the chair as their landmark, the

shirt. In short, we assume the spatial pattern shown in ‘map’ (a) of Figure 3.14

rather than the one in (b).

Why do we make this assumption? The Best Landmark Principle offers an

explanation. If A is the best landmark for B, then in principle it could also have

been used for C, but since it wasn’t, B must have the advantage of being nearer

to C. Putting it more generally, we assume that any object is nearer to its own

landmark than it is to the landmark of its landmark.

The Best Landmark Principle doesn’t only guide us in interpreting what other

people tell us, but it also guides our own behaviour. If we’re thinking about where

to put socks and shirts, we know it’s important to remember where they are and

therefore follow the Best Landmark Principle of locating things ‘where we can



Network structure



find them’, which means in a memorable relation to a memorable landmark. That’s

why we have furniture such as cupboards that are always in the same place.





Different ways of relating to a landmark



Having found a landmark, of course, we then have to choose a relation to

that landmark. Is the ball in the box, or behind it or on it or…? Did it rain before, after

or during the party? And so on. This involves another part of the grand taxonomy of

relations, the part for relations in space and time. Let’s focus on time, because this is

the dimension most relevant to language (or at least to spoken language).

The basic temporal relations are, of course, ‘before’ and ‘after’, though there

are others (until, since, during, at, in, for). If we say that Thursday comes before

Friday, we’re taking Friday as the landmark for Thursday. We often use the words

before and after to link events, but even then we’re really thinking of the times

of those events; if we say that it rained before the party, we’re taking the party’s

time as the landmark for the rain’s time.

One general question is exactly how these finely classified relations mesh with

the basic ‘landmark’ relation. If the party is the landmark for the rain, how should

we add the information that the rain was before the party rather than after it? One

possible answer is that we’re dealing with two separate relations:€the ‘landmark’

relation which identifies the landmark, and the temporal relation which distinguishes ‘before’ and ‘after’.

But since the temporal relation always involves the landmark, a much easier

analysis recognizes ‘before’ and ‘after’ as special cases of ‘landmark’€– ‘before

landmark’ and ‘after landmark’, as it were. For instance, if the rain was before

the party, then the party is not only the rain’s landmark, but more precisely it’s the

rain’s ‘before landmark’. These isA links are shown in Figure 3.15, alongside an

analysis showing that the rain’s relation to the party isA ‘before’, which in turn isA

‘landmark’. Notice that ‘before’ and ‘after’ are competing alternatives, as you can

see from the ‘or’ relations that link them both to the same choice-set node (3.3).

One reason for this expedition into the vast territory of spatial and temporal

relations is simply to show how the theory applies to something other than social

relations; but these relations also have a special relevance for linguistics. For

one thing, they’re needed in the semantic analysis of many words€ – not only

the prepositions discussed above, but also verbs such as follow and adjectives

like previous, and they’re even found right in the heart of grammar, in the tenses

(where a past-tense verb refers to an event that happened before now).

Above all, we need these relations in the analysis of word order in Section 7.4,

where the ‘before’ and ‘after’ relations fix the order of words in a sentence. We

shall find that these relations are precisely as expected in a sequence of events

(words):€one word always takes its position from another and stays as close as possible to it. Landmarks and the Best Landmark Principle are exactly what we need.

Where next?

Advanced:€Part II, Chapter 7.4:€Default word order



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