CHAPTER XXIII

DEFINITION OF COMMON TERMS

Sec. 1. Ordinary words may need definition, if in the course of exposition

or argument their meaning is liable to be mistaken. But as definition

cannot give one the sense of a popular word for all occasions of its

use, it is an operation of great delicacy. Fixity of meaning in the use

of single words is contrary to the genius of the common vocabulary;

since each word, whilst having a certain predominant character, must be

used with many shades of significance, in order to express the different

thoughts and feelings of multitudes of men in endlessly diversified

situations; and its force, whenever it is used, is qualified by the

other words with which it is connected in a sentence, by its place in

the construction of the sentence, by the emphasis, or by the pitch of

its pronunciation compared with the other words.

Clearly, the requisite of a scientific language, 'that every word shall

have one meaning well defined,' is too exacting for popular language;

because the other chief requisite of scientific language cannot be

complied with, 'that there be no important meaning without a name.'

'Important meanings,' or what seem such, are too numerous to be thus

provided for; and new ones are constantly arising, as each of us pursues

his business or his pleasure, his meditations or the excursions of his

fancy. It is impossible to have a separate term for each meaning; and,

therefore, the terms we have must admit of variable application.

An attempt to introduce new words is generally disgusting. Few men have

mastered the uses of half the words already to be found in our classics.

Much more would be lost than gained by doubling the dictionary. It is

true that, at certain stages in the growth of a people, a need may be

widely felt for the adoption of new words: such, in our own case, was

the period of the Tudors and early Stuarts. Many fresh words, chiefly

from the Latin, then appeared in books, were often received with

reprobation and derision, sometimes disappeared again, sometimes

established their footing in the language: see _The Art of English

Poetry_ (ascribed to Puttenham), Book III. chap. 4, and Ben Jonson's

_Poetaster_, Act. V. sc. I. Good judges did not know whether a word was

really called for: even Shakespeare thought 'remuneration' and

'accommodate' ridiculous. But such national exigencies rarely arise; and

in our own time great authors distinguish themselves by the plastic

power with which they make common words convey uncommon meanings.

Fluid, however, as popular language is and ought to be, it may be

necessary for the sake of clear exposition, or to steady the course of

an argument, to avoid either sophistry or unintentional confusion, that

words should be defined and discriminated; and we must discuss the means

of doing so.

Sec. 2. Scientific method is applicable, with some qualifications, to the

definition of ordinary words. Classification is involved in any problem

of definition: at least, if our object is to find a meaning that shall

be generally acceptable and intelligible. No doubt two disputants may,

for their own satisfaction, adopt any arbitrary definition of a word

important in their controversy; or, any one may define a word as he

pleases, at the risk of being misunderstood, provided he has no

fraudulent intention. But in exposition or argument addressed to the

public, where words are used in some of their ordinary senses, it should

be recognised that the meaning of each one involves that of many

others. For language has grown with the human mind, as representing its

knowledge of the world: this knowledge consists of the resemblances and

differences of things and of the activities of things, that is, of

classes and causes; and as there is such order in the world, so there

must be in language: language, therefore, embodies an irregular

classification of things with their attributes and relations according

to our knowledge and beliefs. The best attempt (known to me) to carry

out this view is contained in Roget's _Thesaurus_, which is a

classification of English words according to their meanings: founded, as

the author tells us, on the models of Zoology and Botany, it has some of

the requisites of a Logical Dictionary.

Popular language, indeed, having grown up with a predominantly practical

purpose, represents a very imperfect classification philosophically

considered. Things, or aspects, or processes of things, that have

excited little interest, have often gone unnamed: so that scientific

discoverers are obliged, for scientific purposes, to invent thousands of

new names. Strong interests, on the other hand, give such a colour to

language, that, where they enter, it is difficult to find any

indifferent expressions. _Consistency_ being much prized, though often

the part of a blockhead, _inconsistency_ implies not merely the absence

of the supposed virtue, but a positive vice: _Beauty_ being attractive

and _ugliness_ the reverse, if we invent a word for that which is

neither, 'plainness,' it at once becomes tinged with the ugly. We seem

to love beauty and morality so much as to be almost incapable of

signifying their absence without expressing aversion.

Again, the erroneous theories of mankind have often found their way into

popular speech, and their terms have remained there long after the

rejection of the beliefs they embodied: as--lunatic, augury, divination,

spell, exorcism: though, to be sure, such words may often be turned to

good account, besides the interest of preserving their original sense.

Language is a record as well as an index of ideas.

Language, then, being essentially classificatory, any attempt to

ascertain the meaning of a word, far from neglecting its relations to

others, should be directed toward elucidating them.

Every word belongs to a group, and this group to some other larger

group. A group is sometimes formed by derivation, at least so far as

different meanings are marked merely by inflections, as _short_,

_shorter_, _shorten_, _shortly_; but, for the most part, is a conflux of

words from many different sources. _Repose_, _depose_, _suppose_,

_impose_, _propose_, are not nearly connected in meaning; but are

severally allied in sense much more closely with words philologically

remote. Thus _repose_ is allied with _rest_, _sleep_, _tranquillity_;

_disturbance_, _unrest_, _tumult_; whilst _depose_ is, in one sense,

allied with _overthrow_, _dismiss_, _dethrone_; _restore_, _confirm_,

_establish_; and, in another sense, with _declare_, _attest_, _swear_,

_prove_, etc. Groups of words, in fact, depend on their meanings, just

as the connection of scientific names follows the resemblance in

character of the things denoted.

Words, accordingly, stand related to one another, for the most part,

though very irregularly, as genus, species, and co-ordinate species.

Taking _repose_ as a genus, we have as species of it, though not exactly

co-ordinate with one another, _tranquillity_ with a mental differentia

(repose of mind), _rest_, whether of mind or body, _sleep_, with the

differentia of unconsciousness (privative). Synonyms are species, or

varieties, wherever any difference can be detected in them; and to

discriminate them we must first find the generic meaning; for which

there may, or may not, be a single word. Thus, _equality_, _sameness_,

_likeness_, _similarity_, _resemblance_, _identity_, are synonyms; but,

if we attend to the ways in which they are actually used, perhaps none

of them can claim to be a genus in relation to the rest. If so, we must

resort to a compound term for the genus, such as 'absence of some sort

of difference.' Then _equality_ is absence of difference in quantity;

_sameness_ is often absence of difference in quality, though the usage

is not strict: _likeness_, _similarity_, and _resemblance_, in their

actual use, perhaps, cannot be discriminated; unless _likeness_ be the

more concrete, _similarity_ the more abstract; but they may all be used

compatibly with the recognition of more or less difference in the things

compared, and even imply this. _Identity_ is the absence of difference

of origin, a continuity of existence, with so much sameness from moment

to moment as is compatible with changes in the course of nature; so that

egg, caterpillar, chrysalis, butterfly may be identical for the run of

an individual life, in spite of differences quantitative and

qualitative, as truly as a shilling that all the time lies in a drawer.

Co-ordinate Species, when positive, have the least contrariety; but

there are also opposites, namely, negatives, contradictories and fuller

contraries. These may be regarded as either co-ordinate genera or the

species of co-ordinate genera. Thus, _repose_ being a genus,

_not-repose_ is by dichotomy a co-ordinate genus and is a negative and

contradictory; then _activity_ (implying an end in view), _motion_

(limited to matter), _disturbance_ (implying changes from a state of

calm), _tumult_, etc., are co-ordinate species of _not-repose_, and

are therefore co-ordinate opposites, or contraries, of the species of

_repose_.

As for correlative words, like _master and slave_, _husband and wife_,

etc., it may seem far-fetched to compare them with the sexes of the

same species of plants or animals; but there is this resemblance between

the two cases, that sexual names are correlative, as 'lioness,' and that

one sex of a species, like a correlative name, cannot be defined without

implying the other; for if a distinctive attribute of one sex be

mentioned (as the lion's mane), it is implied that the other wants it,

and apart from this implication the species is not defined: just as the

definition of 'master' implies a 'slave' to obey.

Common words, less precise than the terms of a scientific nomenclature,

differ from them also in this, that the same word may occur in different

genera. Thus, _sleep_ is a species of _repose_ as above; but it is also

a species of _unconsciousness_, with co-ordinate species _swoon_,

_hypnotic state_, etc. In fact, every word stands under as many

distinct genera, at least, as there are simple or indefinable qualities

to be enumerated in its definition.

Sec. 3. Partially similar to a scientific nomenclature, ordinary language

has likewise a terminology for describing things according to their

qualities and structure. Such is the function of all the names of

colours, sounds, tastes, contrasts of temperature, of hardness, of

pleasantness; in short, of all descriptive adjectives, and all names for

the parts and processes of things. Any word connoting a quality may be

used to describe many very different things, as long as they agree in

that quality.

But the quality connoted by a word, and treated as always the same

quality, is often only analogically the same. We speak of a _great_

storm, a _great_ man, a _great_ book; but _great_ is in each case not

only relative, implying small, and leaving open the possibility that

what we call great is still smaller than something else of its kind, but

it is also predicated with reference to some quality or qualities, which

may be very different in the several cases of its application. If the

book is prized for wisdom, or for imagination, its greatness lies in

that quality; if the man is distinguished for influence, or for courage,

his greatness is of that nature; if the storm is remarkable for

violence, or for duration, its greatness depends on that fact. The word

_great_, therefore, is not used for these things in the same sense, but

only analogically and elliptically. Similarly with good, pure, free,

strong, rich, and so on. 'Rest' has not the same meaning in respect of

a stone and of an animal, nor 'strong' in respect of thought and muscle,

nor 'sweet' in respect of sugar and music. But here we come to the

border between literal and figurative use; every one sees that

figurative epithets are analogical; but by custom any figurative use may

become literal.

Again, many general names of widely different meaning, are brought

together in describing any concrete object, as an animal, or a

landscape, or in defining any specific term. This is the sense of the

doctrine, that any concrete thing is a conflux of generalities or

universals: it may at least be considered in this way; though it seems

more natural to say, that an object presents these different aspects to

a spectator, who, fully to comprehend it, must classify it in every

aspect.

Sec. 4. The process of seeking a definition may be guided by the following

maxims:

(1) Find the usage of good modern authors; that is (as they rarely

define a word explicitly), consider what in various relations they use

it to denote; from which uses its connotation may be collected.

(2) But if this process yield no satisfactory result, make a list of the

things denoted, and of those denoted by the co-ordinate and opposite

words; and observe the qualities in which the things denoted agree, and

in which they differ from those denoted by the contraries and opposites.

If 'civilisation' is to be defined, make lists of civilised peoples, of

semi-civilised, of barbarous, and of savage: now, what things are common

to civilised peoples and wanting in the others respectively? This is an

exercise worth attempting. If poetry is to be defined, survey some

typical examples of what good critics recognise as poetry, and compare

them with examples of bad 'poetry,' literary prose, oratory, and

science. Having determined the characteristics of each kind, arrange

them opposite one another in parallel columns. Whoever tries to define

by this method a few important, frequently occurring words, will find

his thoughts the clearer for it, and will collect by the way much

information which may be more valuable than the definition itself,

should he ever find one.

(3) If the genus of a word to be defined is already known, the process

may be shortened. Suppose the genus of poetry to be _belles lettres_

(that is, 'appealing to good taste'), this suffices to mark it off from

science; but since literary prose and oratory are also _belles lettres_,

we must still seek the differentia of poetry by a comparison of it with

these co-ordinate species. A compound word often exhibits genus and

difference upon its face: as 're-turn,' 'inter-penetrate,'

'tuning-fork,' 'cricket-bat'; but the two last would hardly be

understood without inspection or further description. And however a

definition be discovered, it is well to state it _per genus et

differentiam_.

(4) In defining any term we should avoid encroaching upon the meaning of

any of the co-ordinate terms; for else their usefulness is lessened: as

by making 'law' include 'custom,' or 'wealth' include 'labour' or

'culture.'

(5) If two or more terms happen to be exactly synonymous, it may be

possible (and, if so, it is a service to the language) to divert one of

them to any neighbouring meaning that has no determinate expression.

Thus, Wordsworth and Coleridge took great pains to distinguish between

Imagination and Fancy, which had become in common usage practically

equivalent; and they sought to limit 'imagination' to an order of poetic

effect, which (they said) had prevailed during the Elizabethan age, but

had been almost lost during the Gallo-classic, and which it was their

mission to restore. Co-ordinate terms often tend to coalesce and become

synonymous, or one almost supersedes the other, to the consequent

impoverishment of our speech. At present _proposition_ (that something

is the fact) has almost driven out _proposal_ (that it is desirable to

co-operate in some action). Even good writers and speakers, by their own

practice, encourage this confusion: they submit to Parliament certain

'propositions' (proposals for legislation), or even make 'a proposition

of marriage.' Definition should counteract such a tendency.

(6) We must avoid the temptation to extend the denotation of a word so

far as to diminish or destroy its connotation; or to increase its

connotation so much as to render it no longer applicable to things which

it formerly denoted: we should neither unduly generalise, nor unduly

specialise, a term. Is it desirable to define _education_ so as to

include the 'lessons of experience'; or is it better to restrict it as

implying a personal educator? If any word implies blame or praise, we

are apt to extend it to everything we hate or approve. But _coward_

cannot be so defined as to include all bullies, nor _noble_ so as to

include every honest man, without some loss in distinctness of thought.

The same impulses make us specialise words; for, if two words express

approval, we wish to apply both to whatever we admire and to refuse both

to whatever displeases us. Thus, a man may resolve to call no one great

who is not good: greatness, according to him, connotes goodness: whence

it follows that (say) Napoleon I. was not great. Another man is

disgusted with greatness: according to him, good and great are mutually

exclusive classes, sheep and goats, as in Gray's wretched clench:

"Beneath the good how far, yet far above the great." In feet, however

'good' and 'great' are descriptive terms, sometimes applicable to the

same object, sometimes to different: but 'great' is the wider term and

applicable to goodness itself and also to badness; whereas by making

'great' connote goodness it becomes the narrower term. And as we have

seen (Sec. 3), such epithets may be applicable to objects on account of

different qualities: _good_ is not predicated on the same ground of a

man and of a horse.

(7) In defining any word, it is desirable to bear in mind its

derivation, and to preserve the connection of meaning with its origin;

unless there are preponderant reasons for diverting it, grounded on our

need of the word to express a certain sense, and the greater difficulty

of finding any other word for the same purpose. It is better to lean to

the classical than to the vulgar sense of 'indifferent,' 'impertinent,'

'aggravating,' 'phenomenal.'

(8) Rigorous definition should not be attempted where the subject does

not admit of it. Some kinds of things are so complex in their qualities,

and each quality may manifest itself in so many degrees without ever

admitting of exact measurement, that we have no means of marking them

off precisely from other things nearly allied, similarly complex and

similarly variable. If so we cannot precisely define their names.

Imagination and fancy are of this nature, civilisation and barbarism,

poetry and other kinds of literary expression. As to poetry, some think

it only exists in metre, but hardly maintain that the metre must be

strictly regular: if not, how much irregularity of rhythm is admissible?

Others regard a certain mood of impassioned imagination as the essence

of poetry; but they have never told us how great intensity of this mood

is requisite. We also hear that poetry is of such a nature that the

enjoyment of it is an end in itself; but as it is not maintained that

poetry must be wholly impersuasive or uninstructive, there seems to be

no means of deciding what amount or prominence of persuasion or

instruction would transfer the work to the region of oratory or science.

Such cases make the method of defining by the aid of a type really

useful: the difficulty can hardly be got over without pointing to

typical examples of each meaning, and admitting that there may be many

divergences and unclassifiable instances on the border between allied

meanings.

Sec. 5. As science began from common knowledge, the terms of the common

vocabulary have often been adopted into the sciences, and many are still

found there: such as weight, mass, work, attraction, repulsion,

diffusion, reflection, absorption, base, salt, and so forth. In the more

exact sciences, the vague popular associations with such words are

hardly an inconvenience: since those addicted to such studies do not

expect to master them without undergoing special discipline; and, having

precisely defined the terms, they acquire the habit of thinking with

them according to their assigned signification in those investigations

to which they are appropriate. It is in the Social Sciences, especially

Economics and Ethics, that the use of popular terminology is at once

unavoidable and prejudicial. For the subject-matters, industry and the

conduct of life, are every man's business; and, accordingly, have always

been discussed with a consciousness of their direct practical bearing

upon public and private interests, and therefore in the common language,

in order that everybody may as far as possible benefit by whatever light

can be thrown upon them. The general practice of Economists and

Moralists, however, shows that, in their judgment, the good derived from

writing in the common vocabulary outweighs the evil: though it is

sometimes manifest that they themselves have been misled by

extra-scientific meanings. To reduce the evil as much as possible, the

following precautions seem reasonable:

(1) To try to find and adopt the central meaning of the word (say rent

or money) in its current or traditionary applications: so as to lessen

in the greater number of cases the jar of conflicting associations. But

if the central popular meaning does not correspond with the scientific

conception to be expressed, it may be better to invent a new term.

(2) To define the term with sufficient accuracy to secure its clear and

consistent use for scientific purposes.

(3) When a popular term has to be used in a sense that departs from the

ordinary one in such a way as to incur the danger of misunderstanding,

to qualify it by some adjunct or "interpretation-clause."

The first of these rules is not always adhered to; and, in the progress

of a science, as subtler and more abstract relations are discovered

amongst the facts, the meaning of a term may have to be modified and

shifted further and further from its popular use. The term 'rent,' for

example, is used by economists, in such a sense that they have to begin

the discussion of the facts it denotes, by explaining that it does not

imply any actual payment by one man to another. Here, for most readers,

the meaning they are accustomed to, seems already to have entirely

disappeared. Difficulties may, however, be largely overcome by

qualifying the term in its various relations, as produce-rents,

ground-rents, customary rents, and so forth, (Cf. Dr. Keynes' _Scope

and Method of Political Economy_, chap. 5.)

Sec. 6. Definitions affect the cogency of arguments in many ways, whether

we use popular or scientific language. If the definitions of our terms

are vague, or are badly abstracted from the facts denoted, all arguments

involving these terms are inconclusive. There can be no confidence in

reasoning with such terms; since, if vague, there is nothing to protect

us from ambiguity; or, if their meaning has been badly abstracted, we

may be led into absurdity--as if 'impudence' should be defined in such a

way as to confound it with honesty.

Again, it is by definitions that we can best distinguish between Verbal

and Real Propositions. Whether a term predicated is implied in the

definition of the subject, or adds something to its meaning, deserves

our constant attention. We often persuade ourselves that statements are

profound and important, when, in fact, they are mere verbal

propositions. "It is just to give every man his due"; "the greater good

ought to be preferred to the less"; such dicta sound well--indeed, too

well! For 'a man's due' means nothing else than what it is just to give

him; and 'the greater good' may mean the one that ought to be preferred:

these, therefore, are Truisms. The investigation of a definition may be

a very valuable service to thought; but, once found, there is no merit

in repeating it. To put forward verbal or analytic propositions, or

truisms, as information (except, of course, in explaining terms to the

uninstructed), shows that we are not thinking what we say; for else we

must become aware of our own emptiness. Every step forward in knowledge

is expressed in a real or synthetic proposition; and it is only by means

of such propositions that information can be given (except as to the

meaning of words) or that an argument or train of reasoning can make any

progress.

Opposed to a truism is a Contradiction in Terms; that is, the denying of

a subject something which it connotes (or which belongs to its

definition), or the affirming of it something whose absence it connotes

(or which is excluded by its definition). A verbal proposition is

necessarily true, because it is tautologous; a contradiction in terms is

necessarily false, because it is inconsistent. Yet, as a rhetorical

artifice, or figure, it may be effective: that 'the slave is not bound

to obey his master' may be a way of saying that there ought to be no

slaves; that 'property is theft,' is an uncompromising assertion of the

communistic ideal. Similarly a truism may have rhetorical value: that 'a

Negro is a man' has often been a timely reminder, or even that "a man's

a man." It is only when we fall into such contradiction or tautology by

lapse of thought, by not fully understanding our own words, that it

becomes absurd.

Real Propositions comprise the predication of Propria and Accidentia.

Accidentia, implying a sort of empirical law, can only be established by

direct induction. But propria are deduced from (or rather by means of)

the definition with the help of real propositions, and this is what is

called 'arguing from a Definition.' Thus, if increasing capacity for

co-operation be a specific character of civilisation, 'great wealth' may

be considered as a proprium of civilised as compared with barbarous

nations. For co-operation is made most effectual by the division of

labour, and that this is the chief condition of producing wealth is a

real proposition. Such arguments from definitions concerning concrete

facts and causation require verification by comparing the conclusion

with the facts. The verification of this example is easy, if we do not

let ourselves be misled in estimating the wealth of barbarians by the

ostentatious "pearl and gold" of kings and nobles, where 99 per cent. of

the people live in penury and servitude. The wealth of civilisation is

not only great but diffused, and in its diffusion its greatness must be

estimated.

To argue from a definition may be a process of several degrees of

complexity. The simplest case is the establishing of a proprium as the

direct consequence of some connoted attribute, as in the above example.

If the definition has been correctly abstracted from the particulars,

the particulars have the attributes summarised in the definition; and,

therefore, they have whatever can be shown to follow from those

attributes. But it frequently happens that the argument rests partly on

the qualities connoted by the class name and partly on many other facts.

In Geometry, the proof of a theorem depends not only upon the definition

of the figure or figures directly concerned, but also upon one or more

axioms, and upon propria or constructions already established. Thus, in

Euclid's fifth Proposition, the proof that the angles at the base of an

isosceles triangle are equal, depends not only on the equality of the

opposite sides, but upon this together with the construction that shows

how from the greater of two lines a part may be cut off equal to the

less, the proof that triangles that can be conceived to coincide are

equal, and the axiom that if equals be taken from equals the remainders

are equal. Similarly, in Biology, if colouring favourable to concealment

is a proprium of carnivorous animals, it is not deducible merely from

their predatory character or any other attribute entering into the

definition of any species of them, but from their predatory character

together with the causes summarised in the phrase 'Natural Selection';

that is, competition for a livelihood, and the destruction of those that

labour under any disadvantages, of which conspicuous colouring would be

one. The particular coloration of any given species, again, can only be

deduced by further considering its habitat (desert, jungle or

snowfield): a circumstance lying wholly outside the definition of the

species.

The validity of an argument based partly or wholly on a definition

depends, in the first place, on the existence of things corresponding

with the definition--that is, having the properties connoted by the name

defined. If there are no such things as isosceles triangles, Euclid's

fifth Proposition is only formally true, like a theorem concerning the

fourth dimension of space: merely consistent with his other assumptions.

But if there be any triangles only approximately isosceles, the proof

applies to them, making allowance for their concrete imperfection: the

nearer their sides approach straightness and equality the more nearly

equal will the opposite angles be.

Again, as to the things corresponding with terms defined, according to

Dr. Venn, their 'existence' may be understood in several senses: (1)

merely for the reason, like the pure genera and species of Porphyry's

tree; the sole condition of whose being is logical consistency: or (2)

for the imagination, like the giants and magicians of romance, the

heroes of tragedy and the fairies of popular superstition; whose

properties may be discussed, and verified by appeal to the right

documents and authorities (poems and ballads): or (3) for perception,

like plants, animals, stones and stars. Only the third class exist in

the proper sense of the word. But under a convention or hypothesis of

existence, we may argue from the definition of a fairy, or a demigod, or

a dragon, and deduce various consequences without absurdity, if we are

content with poetic consistency and the authority of myths and romances

as the test of truth.

In the region of concrete objects, whose properties are causes, and

neither merely fictions nor determinations of space (as in Geometry), we

meet with another condition of the validity of any argument depending on

a definition: there must not only be objects corresponding to the

definition, but there must be no other causes counteracting those

qualities on whose agency our argument relies. Thus, though we may infer

from the quality of co-operation connoted by civilisation, that a

civilised country will be a wealthy one, this may not be found true of

such a country recently devastated by war or other calamity. Nor can

co-operation always triumph over disadvantageous circumstances.

Scandinavia is so poor in the gifts of nature favourable to industry,

that it is not wealthy in spite of civilisation: still, it is far

wealthier than it would be in the hands of a barbarous people. In short,

when arguing from a definition, we can only infer the _tendency_ of any

causal characteristics included in it; the unqualified realisation of

such a tendency must depend upon the absence of counteracting causes. As

soon as we leave the region of pure conceptions and make any attempt to

bring our speculations home to the actual phenomena of nature or of

human life, the verification of every inference becomes an unremitting

obligation.

Logic: Deductive and Inductive · 第 23 / 24 章