[359] Psychophysik, Bd. ii, pp. 475-6.

[360] I must say that I am wholly unconscious of the peculiar feelings

in the scalp which Fechner goes on to describe. "The feeling of

strained attention in the different sense-organs seems to be only a

muscular one produced in using these various organs by setting in

motion, by a sort of reflex action, the muscles which belong to them.

One can ask, then, with what particular muscular contraction the sense

of strained attention in the effort to recall something is associated?

On this question my own feeling gives me a decided answer; it comes to

me distinctly, not as a sensation of tension in the inside of the head,

but as a feeling of strain and contraction in the scalp with a pressure

from without inwards over the whole cranium, undoubtedly caused by a

contraction of the muscles of the scalp. This harmonizes very well with

the German popular expression _den Kopf zusammennehmen_, etc., etc. In

a former illness, in which I could not endure the slightest effort of

continuous thought, and had no theoretical bias on this question, the

muscles of the scalp, especially those of the occiput, assumed a fairly

morbid degree of sensibility whenever I tried to _think_." (_Ibid._

pp. 490-491.) In an early writing by Professor Mach, after speaking

of the way in which by attention we decompose complex musical sounds

into their elements, this investigator continues: "It is more than

a figure of speech when one says that we 'search' among the sounds.

This hearkening search is very observably a bodily activity, just like

attentive looking in the case of the eye. If, obeying the drift of

physiology, we understand by attention nothing mystical, but a bodily

disposition, it is most natural to seek it in the variable tension

of the muscles of the ear. Just so, what common men call attentive

looking reduces itself mainly to accommodating and setting of the

optic axes.... According to this, it seems to me a very plausible view

that quite generally Attention has its seat in the mechanism of the

body. If nervous work is being done through certain channels, that by

itself is a mechanical ground for other channels being closed." (Wien.

Sitzungsberichte, Math. Naturw., xlviii, 2, 297. 1863.)

[361] Physiol. Optik, p. 741.

[362] Hermann's Handbuch, iii, i, 548.

[363] Helmholtz: Tonempfindungen, 3d ed. 85-9 (Engl. tr., 2d ed. 50,

51; see also pp. 60-1).

[364] Physiol. Psych., ii, 209.

[365] Physiol. Optik, 741.

[366] P. 728.

[367] Popular Scientific Lectures, Eng. Trans., p. 295.

[368] Similarly in the verses which some one tried to puzzle me with

the other day: "_Gui n'a beau dit, qui sabot dit, nid a beau dit elle?_"

[369] I cannot refrain from referring in a note to an additional set

of facts instanced by Lotze in his Medizinische Psychologie, § 431,

although I am not satisfied with the explanation, fatigue of the

sense-organ, which _he_ gives. "In quietly lying and contemplating a

wall-paper pattern, sometimes it is the ground, sometimes the design,

which is clearer and consequently comes nearer.... Arabesques of

monochromic many-convoluted lines now strike us as composed of one,

now of another connected linear system, and all without any intention

on our part. [This is beautifully seen in Moorish patterns; but a

simple diagram like Fig. 39 also shows it well. We see it sometimes

as two large triangles superposed, sometimes as a hexagon with angles

spanning its sides, sometimes as six small triangles stuck together at

their corners.]... Often it happens in revery that when we stare at a

picture, suddenly some one of its features will be lit up with especial

clearness, although neither its optical character nor its meaning

discloses any motive for such an arousal of the attention.... To one

in process of becoming drowsy the surroundings alternately fade into

darkness and abruptly brighten up. The talk of the bystanders seems now

to come from indefinite distances; but at the next moment it startles

us by its threatening loudness at our very ear," etc. These variations,

which everyone will have noticed, are, it seems to me, easily

explicable by the very unstable equilibrium of our ideational centres,

of which constant change is the law. We _conceive_ one set of lines as

object, the other as background, and forthwith the first set becomes

the set we _see_. There need be no _logical_ motive for the conceptual

change, the irradiations of brain-tracts by each other, according to

accidents of nutrition, 'like sparks in burnt-up paper,' suffice. The

changes during drowsiness are still more obviously due to this cause.

[Illustration: FIG. 39.]

[370] The Emotions and the Will, 3d ed. p. 370.

[371] Psychologie de l'Attention (1889), p. 32 ff.

[372] Philosophische Studien, iv, 413 ff.

[373] See Lange, _loc. cit._ p. 417, for another proof of his view,

drawn from the phenomenon of retinal rivalry.

[374] Many of my students have at my request experimented with imagined

letters of the alphabet and syllables, and they tell me that they

can see them inwardly as total colored pictures without following

their outlines with the eye. I am myself a bad visualizer, and make

movements all the while.--M. L. Marillier, in an article of eminent

introspective power which appeared after my text was written (Remarques

sur le Mécanisme de l'Attention, in Revue Philosophique, vol. xxvii, p.

566), has contended against Ribot and others for the non-dependence of

sensory upon motor images in their relations to attention. I am glad to

cite him as an ally.

[375] Drs. Ferrier (Functions of the Brain, §§ 102-3) and Obersteiner

(Brain, i, 439 ff.) treat it as the essential feature. The author

whose treatment of the subject is by far the most thorough and

satisfactory is Prof. G. E. Müller, whose little work Zur Théorie der

sinnlichen Aufmerksamkeit, Inauguraldissertation, Leipzig, Edelmann

(1874?), is for learning and acuteness a model of what a monograph

should be. I should like to have quoted from it, but the Germanism

of its composition makes quotation quite impossible. See also G. H.

Lewes: Problems of Life and Mind, 3d Series, Prob. 2, chap. 10; G.

H. Schneider: Der menschliche Wille, 294 ff., 309 ff.; C. Stumpf:

Tonpsychologie, i, 67-75; W. B. Carpenter: Mental Physiology, chap. 3;

Cappie in 'Brain,' July 1886 (hyperæmia-theory); J. Sully in 'Brain,'

Oct. 1890.

[376] L'Enfant de trois à sept Ans, p. 108.

[377] Psychologie de l'Attention, p. 53.

[378] Repetition of this sort does not confer _intelligence_ of what

is said, it only keeps the mind from wandering into other channels.

The intelligence sometimes comes in beats, as it were, at the end of

sentences, or in the midst of words which were mere words until then.

See above, p. 281.

[379] The reader will please observe that I am saying all that can

_possibly_ be said in favor of the effect-theory, since, inclining

as I do myself to the cause-theory, I do not want to undervalue the

enemy. As a matter of fact, one might begin to take one's stand against

the effect theory at the outset, with the phenomenon of immediate

sensorial attention. One might say that attention causes the movements

of adjustment of the eyes, for example, and is not merely their effect.

Hering writes most emphatically to this effect: "The movements from

one point of fixation to another are occasioned and regulated by the

changes of place of the attention. When an object, seen at first

indirectly, draws our attention to itself, the corresponding movement

of the eye follows without further ado, as a consequence of the

attention's migration and of our effort to make the object distinct.

The wandering of the attention entails that of the fixation point.

Before its movement begins, its goal is already in consciousness and

grasped by the attention, and the location of this spot in the total

space seen is what determines the direction and amount of the movement

of the eye." (Hermann's Handbuch, p. 534.) I do not here insist on

this, because it is hard to tell whether the attention or the movement

comes first (Hering's reasons, pp. 535-6, also 544-6, seem to me

ambiguous), and because, even if the attention to the object does come

first, it may be a mere effect of stimulus and association. Mach's

theory that the _will to look_ is the _space-feeling itself_ may be

compared with Hering's in this place. See Mach's Beiträge zur Analyse

der Empfindungen (1886), pp. 55 ff.

[380] F. H. Bradley, "Is there a Special Activity of Attention?" in

'Mind,' xi, 305, and Lipps, Grundtatsachen, chaps. iv and xxx, have

stated it similarly.

[381] More will be said of the matter when we come to the chapter on

the Will.

[382] See, for a defence of the notion of inward activity, Mr. James

Ward's searching articles in 'Mind,' xii, 45 and 564.

[383] It must be admitted that some little time will often elapse

before this effort succeeds. As a child, I slept in a nursery with a

very loud-ticking clock, and remember my astonishment more than once,

on listening for its tick, to find myself unable to catch it for what

seemed a long space of time; then suddenly it would break into my

consciousness with an almost startling loudness.--M. Delbœuf somewhere

narrates how, sleeping in the country near a mill-dam, he woke in the

night and thought the water had ceased to flow, but on looking out of

the open window saw it flowing in the moonlight, and then heard it too.

[384] Zur Theorie d. sinnl. Aufmerksamkeit, p. 128 foll.

[385] I have begun to inquire experimentally whether any of the

measurable functions of the workmen change after the din of machinery

stops at a workshop. So far I have found no constant results as regards

either pulse, breathing, or strength of squeeze by the hand. I hope to

prosecute the inquiry farther (May, 1890).

CHAPTER XII.

CONCEPTION.

THE SENSE OF SAMENESS.

In Chapter VIII, p. 221, the distinction was drawn between two kinds of

knowledge of things, bare acquaintance with them and knowledge about

them. The possibility of two such knowledges depends on a fundamental

psychical peculiarity which may be entitled "_the principle of

constancy in the mind's meanings_" and which may be thus expressed:

"_The same matters can be thought of in successive portions of the

mental stream, and some of these portions can know that they mean

the same matters which the other portions meant._" One might put it

otherwise by saying that "_the mind can always intend, and know when it

intends, to think of the Same._"

This _sense of sameness_ is the very keel and backbone of our thinking.

We saw in Chapter X how the consciousness of personal identity reposed

on it, the present thought finding in its memories a warmth and

intimacy which it recognizes as the same warmth and intimacy it now

feels. This sense of identity of the knowing subject is held by some

philosophers to be the only vehicle by which the world hangs together.

It seems hardly necessary to say that a sense of identity of the known

object would perform exactly the same unifying function, even if the

sense of subjective identity were lost. And without the intention to

think of the same outer things over and over again, and the sense that

we were doing so, our sense of our own personal sameness would carry us

but a little way towards making a universe of our experience.

Note, however, that we are in the first instance speaking of the sense

of sameness from the point of view of the mind's structure alone, and

not from the point of view of the universe. We are psychologizing, not

philosophizing, That is, we do not care whether there be any _real_

sameness in _things_ or not, or whether the mind be true or false in

its assumptions of it. Our principle only lays it down that the mind

makes continual use of the _notion_ of sameness, and if deprived of

it, would have a different structure from what it has. In a word, the

principle that the mind can mean the Same is true of its _meanings_,

but not necessarily of aught besides.[386] The mind must conceive as

possible that the Same should be before it, for our experience to be

the sort of thing it is. Without the psychological sense of identity,

sameness might rain down upon us from the outer world for ever and we

be none the wiser. With the psychological sense, on the other hand,

the outer world might be an unbroken flux, and yet we should perceive

a repeated experience. Even now, the world may be a place in which

the same thing never did and never will come twice. The thing we mean

to point at may change from top to bottom and we be ignorant of the

fact. But in our meaning itself we are not deceived; our intention is

to think of the same. The name which I have given to the principle,

in calling it the law of constancy in our meanings, accentuates its

subjective character, and justifies us in laying it down as the most

important of all the features of our mental structure.

Not all psychic life need be assumed to have the sense of sameness

developed in this way. In the consciousness of worms and polyps,

though the same realities may frequently impress it, the feeling of

sameness may seldom emerge. We, however, running back and forth, like

spiders on the web they weave, feel ourselves to be working over

identical materials and thinking them in different ways. And the man

who identifies the materials most is held to have the most philosophic

human mind.

CONCEPTION DEFINED.

_The function by which we thus identify a numerically distinct and

permanent subject of discourse is called_ CONCEPTION; and the thoughts

which are its vehicles are called _concepts_. But the word 'concept'

is often used as if it stood for the object of discourse itself; and

this looseness feeds such evasiveness in discussion that I shall avoid

the use of the expression concept altogether, and speak of 'conceiving

state of mind,' or something similar, instead. The word 'conception'

is unambiguous. It properly denotes neither the mental state nor what

the mental state signifies, but the relation between the two, namely,

the _function_ of the mental state in signifying just that particular

thing. It is plain that one and the same mental state can be the

vehicle of many conceptions, can mean a particular thing, and a great

deal more besides. If it has such a multiple conceptual function, it

may be called an act of compound conception.

We may conceive realities supposed to be extra-mental, as steam-engine;

fictions, as mermaid; or mere _entia rationis_, like difference or

nonentity. But whatever we do conceive, our conception is of that and

nothing else--nothing else, that is, _instead_ of that, though it may

be of much else _in addition_ to that. Each act of conception results

from our attention singling out some one part of the mass of matter

for thought which the world presents, and holding fast to it, without

confusion.[387] Confusion occurs when we do not know whether a certain

object proposed to us is the same with one of our meanings or not;

so that the conceptual function requires, to be complete, that the

thought should not only say 'I mean this,' but also say 'I don't mean

that.'[388]

Each conception thus eternally remains what it is, and never can

become another. The mind may change its states, and its meanings, at

different times; may drop one conception and take up another, but the

dropped conception can in no intelligible sense be said to _change

into_ its successor. The paper, a moment ago white, I may now see to

have been scorched black. But my conception 'white' does not change

into my conception 'black.' On the contrary, it stays alongside of the

objective blackness, as a different meaning in my mind, and by so doing

lets me judge the blackness as the paper's change. Unless it stayed, I

should simply say 'blackness' and know no more. Thus, amid the flux of

opinions and of physical things, the world of conceptions, or things

intended to be thought about, stands stiff and immutable, like Plato's

Realm of Ideas.[389]

Some conceptions are of things, some of events, some of qualities. Any

fact, be it thing, event, or quality, may be conceived sufficiently

for purposes of identification, if only it be singled out and marked

so as to separate it from other things. Simply calling it 'this' or

'that' will suffice. To speak in technical language, a subject may

be conceived by its _denotation_, with no _connotation_, or a very

minimum of connotation, attached. The essential point is that it should

be re-identified by us as that which the talk is about; and no full

representation of it is necessary for this, even when it is a fully

representable thing.

In this sense, creatures extremely low in the intellectual scale may

have conception. All that is required is that they should recognize

the same experience again. A polyp would be a conceptual thinker if a

feeling of 'Hollo! thingumbob again!' ever flitted through its mind.

Most of the objects of our thought, however, are to some degree

represented as well as merely pointed out. Either they are things

and events perceived or imagined, or they are qualities apprehended

in a positive way. Even where we have no intuitive acquaintance with

the nature of a thing, if we know any of the relations of it at all,

anything _about_ it, that is enough to individualize and distinguish

it from all the other things which we might mean. Many of our topics

of discourse are thus _problematical_, or defined by their relations

only. We think of a thing _about_ which certain facts must obtain,

but we do not yet know how the thing will look when it is realized.

Thus we conceive of a perpetual-motion machine. It is a _quæsitum_

of a perfectly definite kind,--we can always tell whether the actual

machines offered us do or do not agree with what we mean by it. The

natural possibility or impossibility of the thing does not touch the

question of its conceivability in this problematic way. 'Round square,'

'black-white-thing,' are absolutely definite conceptions; it is a mere

accident, as far as conception goes, that they happen to stand for

things which nature never lets us sensibly perceive.[390]

CONCEPTIONS ARE UNCHANGEABLE.

The fact that the same real topic of discourse is at one time

conceived as a mere 'that' or 'that which, etc.,' and is at another

time conceived with additional specifications, has been treated by

many authors as a proof that conceptions themselves are fertile

and self-developing. A conception, according to the Hegelizers in

philosophy, 'develops its own significance,' 'makes explicit what it

implicitly contained,' passes, on occasion, 'over into its opposite,'

and in short loses altogether the blankly self-identical character we

supposed it to maintain. The figure we viewed as a polygon appears to

us now as a sum of juxtaposed triangles; the number hitherto conceived

as thirteen is at last noticed to be six plus seven, or prime; the man

thought honest is believed a rogue. Such changes of our opinion are

viewed by these thinkers as evolutions of our conception, from within.

The facts are unquestionable; our knowledge does grow and change by

rational and inward processes, as well as by empirical discoveries.

Where the discoveries are empirical, no one pretends that the

propulsive agency, the force that makes the knowledge develop, is

mere conception. All admit it to be our continued exposure to the

_thing_, with its power to impress our senses. Thus strychnin, which

tastes bitter, we find will also kill, etc. Now I say that where the

new knowledge merely comes from _thinking_, the facts are essentially

the same, and that _to talk of self-development on the part of

our conceptions is a very bad way of stating the case_. Not new

sensations, as in the empirical instance, but new conceptions, are the

indispensable conditions of advance.

For if the alleged cases of self-development be examined it will

be found, I believe, that the new truth affirms in every case a

_relation_ between the original subject of conception and some new

subject conceived later on. These new subjects of conception arise in

various ways. Every one of our conceptions is of something which our

attention originally tore out of the continuum of felt experience,

and provisionally isolated so as to make of it an individual topic

of discourse. Every one of them has a way, if the mind is left alone

with it, of suggesting other parts of the continuum from which it was

torn, for conception to work upon in a similar way. This 'suggestion'

is often no more than what we shall later know as the association

of ideas. Often, however, it is a sort of invitation to the mind to

play, add lines, break number-groups, etc. Whatever it is, it brings

new conceptions into consciousness, which latter thereupon may or may

not expressly attend to the relation in which the new stands to the

old. Thus I have a conception of equidistant lines. Suddenly, I know

not whence, there pops into my head the conception of their meeting.

Suddenly again I think of the meeting and the equidistance both

together, and perceive them incompatible. "_Those_ lines will never

meet," I say. Suddenly again the word 'parallel' pops into my head.

'They are parallels,' I continue; and so on. Original conceptions to

start with; adventitious conceptions pushed forward by multifarious

psychologic causes; comparisons and combinations of the two; resultant

conceptions to end with; which latter may be of either rational or

empirical relations.

As regards these relations, they are conceptions of the second degree,

as one might say, and their birthplace is the mind itself. In Chapter

XXVIII I shall at considerable length defend the mind's claim to

originality and fertility in bringing them forth. But no single one

of the mind's conceptions is fertile _of itself_ as the opinion which

I criticise pretends. When the several notes of a chord are sounded

together, we get a new feeling from their combination. This feeling is

due to the mind reacting upon that group of sounds in that determinate

way, and no one would think of saying of any single note of the chord

that it 'developed' of itself into the other notes or into the feeling

of harmony. So of Conceptions. No one of them develops into any other.

But if two of them are thought at once, their _relation_ may come to

consciousness, and form matter for a third conception.

Take 'thirteen' for example, which is said to develop into 'prime.'

What really happens is that we compare the utterly changeless

conception of thirteen with various other conceptions, those of the

different multiples of two, three, four, five, and six, and ascertain

that it _differs_ from them all. Such difference is a freshly

ascertained relation. It is only for mere brevity's sake that we call

it a property of the original thirteen, the property of being prime.

We shall see in the next chapter that (if we count out æsthetic and

moral relations between things) the only important relations of which

the mere inspection of conceptions makes us aware are relations of

comparison, that is, of difference and no-difference, between them. The

judgment 6 + 7 = 13 expresses the relation of _equality_ between two

ideal objects, 13 on the one hand and 6 + 7 on the other, successively

conceived and compared. The judgments 6 + 7 > 12, or 6 + 7 < 14,

express in like manner relations of inequality between ideal objects.

But if it be unfair to say that the conception of 6 + 7 generates that

of 12 or of 14, surely it is as unfair to say that it generates that of

13.

The conceptions of 12, 13, and 14 are each and all generated by

individual acts of the mind, playing with its materials. When,

comparing two ideal objects, we find them equal, the conception of one

of them may be that of a whole and of the other that of all its parts.

This particular case is, it seems to me, the only case which makes

the notion of one conception evolving into another sound plausible.

But even in this case the conception, as such, of the whole does not

evolve into the conception, as such, of the parts. Let the conception

of some object as a whole be given first. To begin with, it points

to and identifies for future thought a certain _that_. The 'whole'

in question might be one of those mechanical puzzles of which the

difficulty is to unlock the parts. In this case, nobody would pretend

that the richer and more elaborate conception which we gain of the

puzzle after solving it came directly out of our first crude conception

of it, for it is notoriously the outcome of experimenting with our

hands. It is true that, as they both mean _that same puzzle_, our

earlier thought and our later thought have one conceptual function, are

vehicles of one conception. But in addition to being the vehicle of

this bald unchanging conception, 'that same puzzle,' the later thought

is the vehicle of all those other conceptions which it took the manual

experimentation to acquire. Now, it is just the same where the whole

is mathematical instead of being mechanical. Let it be a polygonal

space, which we cut into triangles, and of which we then affirm that

it _is_ those triangles. Here the experimentation (although usually

done by a pencil in the hands) may be done by the unaided imagination.

We hold the space, first conceived as polygonal simply, in our mind's

eye until our attention wandering to and fro within it has carved it

into the triangles. The triangles are a new conception, the result of

this new operation. Having once conceived them, however, and compared

them with the old polygon which we originally conceived and which we

have never ceased conceiving, we judge them to fit exactly into its

area. The earlier and later conceptions, we say, are of one and the

same space. But this relation between triangles and polygon which the

mind cannot help finding if it compares them at all, is very badly

expressed by saying that the old conception has developed into the new.

New conceptions come from new sensations, new movements, new emotions,

new associations, new acts of attention, and new comparisons of old

conceptions, and not in other ways. Endogenous prolification is not a

mode of growth to which conceptions can lay claim.

I hope, therefore, that I shall not be accused of huddling mysteries

out of sight, when I insist that the psychology of conception is

not the place in which to treat of those of continuity and change.

Conceptions form the one class of entities that cannot under any

circumstances change. They can cease to be, altogether; or they can

stay, as what they severally are; but there is for them no middle

way. They form an essentially discontinuous system, and translate the

process of our perceptual experience, which is naturally a flux, into a

set of stagnant and petrified terms. The very conception of flux itself

is an absolutely changeless meaning in the mind: it signifies just that

one thing, flux, immovably.--And, with this, the doctrine of the flux

of the concept may be dismissed, and need not occupy our attention

again.[391]

'ABSTRACT' IDEAS.

We have now to pass to a less excusable mistake. There are philosophers

who deny that associated things can be broken asunder at all, even

provisionally, by the conceiving mind. The opinion known as Nominalism

says that we really never frame any conception of the partial elements

of an experience, but are compelled, whenever we think it, to think it

in its totality, just as it came.

I will be silent of mediæval Nominalism, and begin with Berkeley,

who is supposed to have rediscovered the doctrine for himself. His

asseverations against 'abstract ideas' are among the oftenest quoted

passages in philosophic literature.

"It is agreed," he says, "on all hands that the qualities or modes

of things do never really exist each of them apart by itself, and

separated from all others, but are mixed, as it were, and blended

together, several in the same object. But, we are told, the mind being

able to consider each quality singly, or abstracted from those other

qualities with which it is united, does by that means frame to itself

abstract ideas.... After this manner, it is said, we come by the

abstract idea of man, or, if you please, humanity, or human nature;

wherein it is true there is included color, because there is no man

but has some color, but then it can be neither white, nor black, nor

any particular color, because there is no one particular color wherein

all men partake. So likewise there is included stature, but then it

is neither tall stature nor low stature, nor yet middle stature, but

something abstracted from all these. And so of the rest.... Whether

others have this wonderful faculty of abstracting their ideas, they

best can tell: for myself, I find indeed I have a faculty of imagining

or representing to myself the ideas of those particular things I have

perceived and of variously compounding and dividing them.... I can

consider the hand, the eye, the nose, each by itself abstracted or

separated from the rest of the body. But then, whatever hand or eye

I imagine, it must have some particular shape and color. Likewise

the idea of man that I frame to myself must be either of a white, or

a black, or a tawny, a straight, or a crooked, a tall, or a low, or

a middle-sized man. I cannot by any effort of thought conceive the

abstract idea above described. And it is equally impossible for me to

form the abstract idea of motion distinct from the body moving, and

which is neither swift nor slow, curvilinear nor rectilinear; and the

like may be said of all other abstract general ideas whatsoever....

And there is ground to think most men will acknowledge themselves to

be in my case. The generality of men which are simple and illiterate

never pretend to abstract notions. It is said they are difficult, and

not to be attained without pains and study.

"Now I would fain know at what time it is men are employed in

surmounting that difficulty, and furnishing themselves with those

necessary helps for discourse. It cannot be when they are grown up,

for then it seems they are not conscious of any such painstaking; it

remains therefore to be the business of their childhood. And surely

the great and multiplied labor of framing abstract notions will be

found a hard task for that tender age. Is it not a hard thing to

imagine that a couple of children cannot prate together of their

sugar-plums and rattles and the rest of their little trinkets, till

they have first tacked together numberless inconsistencies, and so

framed in their minds abstract general ideas, and annexed them to

every common name they make use of?"[392]

The note, so bravely struck by Berkeley, could not, however, be well

sustained in face of the fact patent to every human being that we

_can_ mean color without meaning any particular color, and stature

without meaning any particular height. James Mill, to be sure, chimes

in heroically in the chapter on Classification of his 'Analysis'; but

in his son John the nominalistic voice has grown so weak that, although

'abstract ideas' are repudiated as a matter of traditional form, the

opinions uttered are really nothing but a conceptualism ashamed to call

itself by its own legitimate name.[393] Conceptualism says the mind can

conceive any quality or relation it pleases, and mean nothing but it,

in isolation from everything else in the world. This is, of course, the

doctrine which we have professed. John Mill says:

"The formation of a Concept does not consist in separating the

attributes which are said to compose it from all other attributes

of the same object, and enabling us to conceive those attributes,

disjoined from any others. We neither conceive them, nor think

them, nor cognize them in any way, as a thing apart, but solely as

forming, in combination with numerous other attributes, the idea of an

individual object. But, though meaning them only as part of a larger

agglomeration, we have the power of fixing our attention on them, to

the neglect of the other attributes with which we think them combined.

_While the concentration of attention lasts, if it is sufficiently

intense, we may be temporarily unconscious of any of the other

attributes, and may really, for a brief interval, have nothing-present

to our mind but the attributes constituent of the concept_.... General

concepts, therefore, we have, properly speaking, none; we have only

complex ideas of objects in the concrete: but we are able to _attend

exclusively to certain parts_ of the concrete idea: and by that

_exclusive attention_ we enable those parts to _determine exclusively

the course of our thoughts_ as subsequently called up by association;

and are in a condition to carry on a train of meditation or reasoning

relating to those parts only, _exactly as if_ we were able to

_conceive_ them separately from the rest."[394]

This is a lovely example of Mill's way of holding piously to his

general statements, but conceding in detail all that their adversaries

ask. If there be a better description extant, of a mind in possession

of an 'abstract idea,' than is contained in the words I have

italicized, I am unacquainted with it. The Berkeleyan nominalism thus

breaks down.

* * * * *

It is easy to lay bare the false assumption which underlies the whole

discussion of the question as hitherto carried on. That assumption is

that ideas, in order to know, must be cast in the exact likeness of

whatever things they know, and that the only things that can be known

are those which ideas can resemble. The error has not been confined

to nominalists. _Omnis cognitio fit per assimilationem cognoscentis

et cogniti_ has been the maxim, more or less explicitly assumed, of

writers of every school. Practically it amounts to saying that an idea

must _be_ a duplicate edition of what it knows[395]--in other words,

that it can only know itself--or, more shortly still, that knowledge

in any strict sense of the word, as a self-transcendent function, is

impossible.

Now our own blunt statements about the ultimateness of the cognitive

relation, and the difference between the 'object' of the thought and

its mere 'topic' or 'subject of discourse' (cf. pp. 275 ff.), are all

at variance with any such theory; and we shall find more and more

occasion, as we advance in this book, to deny its general truth. All

that a state of mind need do, in order to take cognizance of a reality,

intend it, or be 'about' it, is to lead to a remoter state of mind

which either acts upon the reality or resembles it. The only class of

thoughts which can with any show of plausibility be said to resemble

their objects are sensations. The stuff of which all our other thoughts

are composed is symbolic, and a thought attests its pertinency to a

topic by simply _terminating_, sooner or later, in a sensation which

resembles the latter.

But Mill and the rest believe that a thought must _be_ what it means,

and mean what it _is_, and that if it be a picture of an entire

individual, it cannot mean any part of him to the exclusion of the

rest. I say nothing here of the preposterously false descriptive

psychology involved in the statement that the only things we can

mentally picture are individuals completely determinate in all

regards. Chapter XVIII will have something to say on that point, and

we can ignore it here. For even if it were true that our images were

always of concrete individuals, it would not in the least follow that

our meanings were of the same.

_The sense of our meaning is an entirely peculiar element of the

thought._ It is one of those evanescent and 'transitive' facts of mind

which introspection cannot turn round upon, and isolate and hold up

for examination, as an entomologist passes round an insect on a pin.

In the (somewhat clumsy) terminology I have used, it pertains to the

'fringe' of the subjective state, and is a 'feeling of tendency,' whose

neural counterpart is undoubtedly a lot of dawning and dying processes

too faint and complex to be traced. The geometer, with his one definite

figure before him, knows perfectly that his thoughts apply to countless

other figures as well, and that although he _sees_ lines of a certain

special bigness, direction, color, etc., he _means_ not one of these

details. When I use the word _man_ in two different sentences, I may

have both times exactly the same sound upon my lips and the same

picture in my mental eye, but I may mean, and at the very moment of

uttering the word and imagining the picture, know that I mean, two

entirely different things. Thus when I say: "What a wonderful man

Jones is!" I am perfectly aware that I mean by man to exclude Napoleon

Bonaparte or Smith. But when I say: "What a wonderful thing Man is!"

I am equally well aware that I mean to _in_clude not only Jones, but

Napoleon and Smith as well. This added consciousness is an absolutely

positive sort of feeling, transforming what would otherwise be mere

noise or vision into something _understood_; and determining the sequel

of my thinking, the later words and images, in a perfectly definite

way. We saw in Chapter IX that the image _per se_, the nucleus, is

_functionally_ the least important part of the thought. _Our doctrine,

therefore, of the 'fringe' leads to a perfectly satisfactory decision

of the nominalistic and conceptualistic controversy,_ so far as it

touches psychology. _We must decide in favor of the conceptualists,_

and affirm that the power to think things, qualities, relations, or

whatever other elements there may be, isolated and abstracted from

the total experience in which they appear, is the most indisputable

function of our thought.

UNIVERSALS.

After abstractions, universals! The 'fringe,' which lets us believe in

the one, lets us believe in the other too. An individual conception

is of something restricted, in its application, to a single case. A

universal or general conception is of an entire class, or of something

belonging to an entire class, of things. The conception of an abstract

quality is, taken by itself, neither universal nor particular.[396] If

I abstract _white_ from the rest of the wintry landscape this morning,

it is a perfectly definite conception, a self-identical quality which I

may mean again; but, as I have not yet individualized it by expressly

meaning to restrict it to this particular snow, nor thought at all of

the possibility of other things to which it may be applicable, it is

so far nothing but a 'that,' a 'floating adjective,' as Mr. Bradley

calls it, or a topic broken out from the rest of the world. Properly

it is, in this state, a singular--I have 'singled it out;' and when,

later, I universalize or individualize its application, and my thought

turns to mean either _this_ white or _all possible_ whites, I am in

reality meaning two new things and forming two new conceptions.[397]

Such an alteration of my meaning has nothing to do with any change

in the image I may have in my mental eye, but solely with the vague

consciousness that surrounds the image, of the sphere to which it is

intended to apply. We can give no more definite account of this vague

consciousness than has been given on pp. 249-266. But that is no

reason for denying its presence.[398]

But the nominalists and traditional conceptualists find matter for an

inveterate quarrel in these simple facts. Full of their notion that

an idea, feeling, or state of consciousness can at bottom only be

aware of its own quality; and agreeing, as they both do, that such an

idea or state of consciousness is a perfectly determinate, singular,

and transitory thing; they find it impossible to conceive how it

should become the vehicle of a knowledge of anything permanent or

universal. "To know a universal, it must be universal; for like can

only be known by like," etc. Unable to reconcile these incompatibles,

the knower and the known, each side immolates one of them to save the

other. The nominalists 'settle the hash' of the thing known by denying

it to be ever a genuine universal; the conceptualists despatch the

knower by denying it to be a state of mind, in the sense of being

a perishing segment of thoughts' stream, consubstantial with other

facts of sensibility. They invent, instead of it, as the vehicle of

the knowledge of universals, an _actus purus intellectus_, or an Ego,

whose function is treated as quasi-miraculous and nothing if not

awe-inspiring, and which it is a sort of blasphemy to approach with the

intent to explain and make common, or reduce to lower terms. Invoked

in the first instance as a vehicle for the knowledge of universals,

the higher principle presently is made the indispensable vehicle of

all thinking whatever, for, it is contended, "a universal element is

present in every thought." The nominalists meanwhile, who dislike

_actus purus_ and awe-inspiring principles and despise the reverential

mood, content themselves with saying that we are mistaken in supposing

we ever get sight of the face of an universal; and that what deludes us

is nothing but the swarm of 'individual ideas' which may at any time be

awakened by the hearing of a name.

If we open the pages of either school, we find it impossible to tell,

in all the whirl about universal and particular, when the author

is talking about universals in the mind, and when about objective

universals, so strangely are the two mixed together. James Ferrier, for

example, is the most brilliant of anti-nominalist writers. But who is

nimble-witted enough to count, in the following sentences from him, the

number of times he steps from the known to the knower, and attributes

to both whatever properties he finds in either one?

"To think is to pass from the singular or particular to the idea

[concept] or universal.... Ideas are necessary because no thinking

can take place without them. They are universal, inasmuch as they

are completely divested of the particularity which characterizes

all the phenomena of mere sensation. To grasp the nature of this

universality is not easy. Perhaps the best means by which this end

may be compassed is by contrasting it with the particular. It is not

difficult to understand that a sensation, a phenomenon of sense, is

never more than the particular which it is. As such, that is, in its

strict particularity, it is absolutely unthinkable. In the very act

of being thought, something more than it emerges, and this something

more cannot be again the particular.... Ten particulars _per se_

cannot be thought of any more than one particular can be thought

of;... there always emerges in thought an additional something, which

is the possibility of other particulars to an indefinite extent....

The indefinite additional something which they are instances of is a

universal.... The idea or universal cannot possibly be pictured in the

imagination, for this would at once reduce it to the particular....

This inability to form any sort of picture or representation of

an idea does not proceed from any imperfection or limitation of

our faculties, but is a quality inherent in the very nature of

intelligence. A contradiction is involved in the supposition that an

idea or a universal can become the object either of sense or of the

imagination. An idea is thus diametrically opposed to an image."[399]

The nominalists, on their side, admit a _quasi_-universal, something

which we think _as if it were_ universal, though it is not; and in

all that they say about this something, which they explain to be 'an

indefinite number of particular ideas,' the same vacillation between

the subjective and the objective points of view appears. The reader

never can tell whether an 'idea' spoken of is supposed to be a knower

or a known. The authors themselves do not distinguish. They want to get

something in the mind which shall _resemble_ what is out of the mind,

however vaguely, and they think that when that fact is accomplished, no

farther questions will be asked. James Mill writes:[400]

"The word, man, we shall say, is first applied to an individual; it

is first associated with the idea of that individual, and acquires

the power of calling up the idea of him; it is next applied to

another individual and acquires the power of calling up the idea of

him; so of another and another, till it has become associated with

an indefinite number, and has acquired the power of calling up an

indefinite number of those ideas indifferently. What happens? It

does call up an indefinite number of the ideas of individuals as

often as it occurs; and calling them in close connection, it forms

a species of complex idea of them.... It is also a fact, that when

an idea becomes to a certain extent complex, from the multiplicity

of the ideas it _comprehends_, it is of necessity indistinct;... and

this indistinctness has, doubtless, been a main cause of the mystery

which has appeared to belong to it.... It thus appears that the word

_man_ is not a word having a very simple idea, as was the opinion of

the realists; nor a word having no idea at all, as was that of the

[earlier] nominalists; but a word calling up an indefinite number of

ideas, by the irresistible laws of association, and forming them into

one very complex and indistinct, but not therefore unintelligible,

idea."

Berkeley had already said:[401]

"A word becomes general by being made the sign, not of an abstract

general idea, but of many several particular ideas, any one of which

it indifferently suggests to the mind. An idea which, considered in

itself, is particular, becomes general by being made to represent or

stand for all other particular ideas of the same sort."

'Stand for,' not _know_; 'becomes general,' not becomes _aware

of something_ general; 'particular ideas,' not particular

_things_--everywhere the same timidity about begging the fact of

knowing, and the pitifully impotent attempt to foist it in the shape

of a mode of _being_ of 'ideas.' If the fact to be conceived be the

indefinitely numerous actual and possible members of a class, then it

is assumed that if we can only get enough ideas to huddle together

for a moment in the mind, the _being_ of each several one of them

there will be an equivalent for the _knowing_, or _meaning_, of _one_

member of the class in question; and their number will be so large as

to confuse our tally and leave it doubtful whether all the possible

members of the class have thus been satisfactorily told off or not.

Of course this is nonsense. An idea neither is what it knows, nor knows

what it is; nor will swarms of copies of the same 'idea,' recurring in

stereotyped form, or 'by the irresistible laws of association formed

into one idea,' ever be the same thing as a thought of '_all the

possible members_' of a class. We must mean _that_ by an altogether

special bit of consciousness _ad hoc_. But it is easy to translate

Berkeley's, Hume's, and Mill's notion of a swarm of ideas into cerebral

terms, and so to make them stand for something real; and, in this

sense, I think the doctrine of these authors less hollow than the

opposite one which makes the vehicle of universal conceptions to be

an _actus purus_ of the soul. If each 'idea' stand for some special

nascent nerve-process, then the aggregate of these nascent processes

might have for its conscious correlate a psychic 'fringe,' which should

be just that universal meaning, or intention that the name or mental

picture employed should mean all the possible individuals of the class.

Every peculiar complication of brain-processes must have some peculiar

correlate in the soul. To one set of processes will correspond the

thought of an indefinite taking of the extent of a word like _man_;

to another set that of a particular taking; and to a third set that

of a universal taking, of the extent of the same word. The thought

corresponding to either set of processes, is always itself a unique and

singular event, whose dependence on its peculiar nerve-process I of

course am far from professing to explain.[402]

Truly in comparison with the fact that every conception, whatever

it be of, is one of the mind's immutable possessions, the question

whether a single thing, or a whole class of things, or only an

unassigned quality, be meant by it, is an insignificant matter of

detail. Our meanings are of singulars, particulars, indefinites, and

universals, mixed together in every way. A singular individual is as

much _conceived_ when he is isolated and identified away from the

rest of the world in my mind, as is the most rarefied and universally

applicable quality he may possess--_being_, for example, when treated

in the same way.[403] From every point of view, the overwhelming and

portentous character ascribed to universal conceptions is surprising.

Why, from Plato and Aristotle downwards, philosophers should have vied

with each other in scorn of the knowledge of the particular, and in

adoration of that of the general, is hard to understand, seeing that

the more adorable knowledge ought to be that of the more adorable

things, and that the _things_ of worth are all concretes and singulars.

The only value of universal characters is that they help us, by

reasoning, to know new truths about individual things. The restriction

of one's meaning, moreover, to an individual thing, probably requires

even more complicated brain-processes than its extension to all the

instances of a kind; and the mere mystery, as such, of the knowledge,

is equally great, whether generals or singulars be the things known. In

sum, therefore, the traditional universal-worship can only be called a

bit of perverse sentimentalism, a philosophic 'idol of the cave.'

* * * * *

It may seem hardly necessary to add (what follows as a matter of

course from pp. 229-237, and what has been implied in our assertions

all along) that _nothing can be conceived twice over without being

conceived in entirely different states of mind_. Thus, my arm-chair is

one of the things of which I have a conception; I knew it yesterday

and recognized it when I looked at it. But if I think of it to-day as

the same arm-chair which I looked at yesterday, it is obvious that

the very conception of it as the same is an additional complication

to the thought, whose inward constitution must alter in consequence.

In short, it is logically impossible that the same thing should be

_known as the same_ by two successive copies of the same thought. As

a matter of fact, the thoughts by which we know that we mean the same

thing are apt to be very different indeed from each other. We think

the thing now in one context, now in another; now in a definite image,

now in a symbol. Sometimes our sense of its identity pertains to the

mere fringe, sometimes it involves the nucleus, of our thought. We

never can break the thought asunder and tell just which one of its

bits is the part that lets us know which subject is referred to; but

nevertheless we always _do_ know which of all possible subjects we have

in mind. Introspective psychology must here throw up the sponge; the

fluctuations of subjective life are too exquisite to be arrested by its

coarse means. It must confine itself to bearing witness to the fact

that all sorts of different subjective states do form the vehicle by

which the same is known; and it must contradict the opposite view.

The ordinary Psychology of 'ideas' constantly talks as if the vehicle

of the same thing-known must be the same recurrent state of mind,

and as if the having over again of the same 'idea' were not only a

necessary but a sufficient condition for meaning the same thing twice.

But this recurrence of the same idea would utterly defeat the existence

of a repeated knowledge of anything. It would be a simple reversion

into a pre-existent state, with nothing gained in the interval, and

with complete unconsciousness of the state having existed before. Such

is not the way in which we think. As a rule we are fully aware that

we have thought before of the thing we think of now. The continuity

and permanency of the topic is of the essence of our intellection.

We recognize the old problem, and the old solutions; and we go on to

alter and improve and substitute one predicate for another without ever

letting the subject change.

This is what is meant when it is said that thinking consists in making

_judgments_. A succession of judgments may all be about the same thing.

The general practical postulate which encourages us to keep thinking

at all is that by going on to do so we shall judge better _of the same

things_ than if we do not.[404] In the successive judgments, all sorts

of new operations are performed on the things, and all sorts of new

results brought out, without the sense of the main topic ever getting

lost. At the outset, we merely _have_ the topic; then we _operate_ on

it; and finally we have it again in a richer and truer way. A compound

conception has been substituted for the simple one, but with full

consciousness that both are of the Same.

The distinction between having and operating is as natural in the

mental as in the material world. As our hands may hold a bit of wood

and a knife, and yet do naught with either; so our mind may simply

be aware of a thing's existence, and yet neither attend to it nor

discriminate it, neither locate nor count nor compare nor like nor

dislike nor deduce it, nor recognize it articulately as having been

met with before. At the same time we know that, instead of staring at

it in this entranced and senseless way, we may rally our activity in

a moment, and locate, class, compare, count, and judge it. There is

nothing involved in all this which we did not postulate at the very

outset of our introspective work: realities, namely, _extra mentem_,

thoughts, and possible relations of cognition between the two. The

result of the thoughts' operating on the data given to sense is to

transform the order in which experience _comes_ into an entirely

different order, that of the _conceived_ world. There is no spot of

light, for example, which I pick out and proceed to define as a pebble,

which is not thereby torn from its mere time- and space-neighbors,

and thought in conjunction with things physically parted from it by

the width of nature. Compare the form in which facts appear in a

text-book of physics, as logically subordinated laws, with that in

which we naturally make their acquaintance. The conceptual scheme is

a sort of sieve in which we try to gather up the world's contents.

Most facts and relations fall through its meshes, being either too

subtle or insignificant to be fixed in any conception. But whenever a

physical reality is caught and identified as the same with something

already conceived, it remains on the sieve, and all the predicates

and relations of the conception with which it is identified become

its predicates and relations too; it is subjected to the sieve's

network, in other words. Thus comes to pass what Mr. Hodgson calls

the translation of the perceptual into the conceptual order of the

world.[405] In Chapter XXII we shall see how this translation always

takes place for the sake of some subjective _interest_, and how the

conception with which we handle a bit of sensible experience is

really nothing but a teleological instrument. _This whole function

of conceiving, of fixing, and holding fast to meanings, has no

significance apart from the fact that the conceiver is a creature with

partial purposes and private ends._ There remains, therefore, much more

to be said about conception, but for the present this will suffice.

FOOTNOTES:

[386] There are two other 'principles of identity' in philosophy.

The _ontological_ one asserts that every real thing is what it is,

that _a_ is _a_, and _b, b_. The _logical_ one says that what is once

true of the subject of a judgment is always true of that subject.

The ontological law is a tautological truism; the logical principle

is already more, for it implies subjects unalterable by time. The

_psychological_ law also implies facts which might not be realized:

there might be no succession of thoughts; or if there were, the later

ones might not think of the earlier; or if they did, they might not

recall the content thereof; or, recalling the content, they might not

take it as 'the same' with anything else.

[387] In later chapters we shall see that determinate relations exist

between the various data thus fixed upon by the mind. These are called

_a priori_ or axiomatic relations. Simple inspection of the data

enables us to perceive them; and one inspection is as effective as

a million for engendering in us the conviction that between _those_

data that relation must always hold. To change the relation we should

have to make the data different. 'The guarantee for the uniformity

and adequacy' of the data can only be the mind's own power to fix

upon any objective content, and to mean that content as often as it

likes. This right of the mind to 'construct' permanent ideal objects

for itself out of the data of experience seems, singularly enough,

to be a stumbling-block to many. Professor Robertson in his clear

and instructive article 'Axioms' in the Encyclopædia Britannica (9th

edition) suggests that it may only be where _movements_ enter into the

constitution of the ideal object (as they do in geometrical figures)

that we can "_make_ the ultimate relations to be what for us they

must be in all circumstances." He makes, it is true, a concession

in favor of conceptions of number abstracted from "subjective

occurrences succeeding each other in time" because these also are

acts "of construction, dependent on the power we have of voluntarily

determining the flow of subjective consciousness." "The content of

passive sensation," on the other hand, "may indefinitely vary beyond

any control of ours." What if it do vary, so long as we can continue

to think of and mean the qualities it varied from? We can 'make' ideal

objects for ourselves out of irrecoverable bits of passive experience

quite as perfectly as out of easily repeatable active experiences. And

when we have got our objects together and compared them, we do not

_make_, but _find_, their relations.

[388] Cf. Hodgson, Time and Space, § 46. Lotze, Logic, § 11.

[389] "For though a man in a fever should from sugar have a bitter

taste which at another time would produce a sweet one, yet the idea of

bitter in that man's mind would be as distinct as if he had tasted only

gall." (Locke's Essay bk. ii, chap. xi, § 3. Read the whole section!)

[390] Black round things, square white things, _per contra_, Nature

gives us freely enough. But the combinations which she refuses to

realize may exist as distinctly, in the shape of postulates, as

those which she gives may exist in the shape of positive images, in

our mind. As a matter of fact, she _may_ realize a warm cold thing

whenever two points of the skin, so near together as not to be locally

distinguished, are touched, the one with a warm, the other with a cold,

piece of metal. The warmth and the cold are then often felt as if in

the same objective place. Under similar conditions two objects, one

sharp and the other blunt, may feel like one sharp blunt thing. The

same space may appear of two colors if, by optical artifice, one of the

colors is made to appear as if seen _through_ the other.--Whether any

two attributes whatever shall be compatible or not, in the sense of

appearing or not to occupy the same place and moment, depends simply

on _de facto_ peculiarities of natural bodies and of our sense-organs.

_Logically_, anyone combination of qualities is to the full as

_conceivable_ as any other, and has as distinct a meaning for thought.

What necessitates this remark is the confusion deliberately kept up

by certain authors (e.g. Spencer, Psychology, §§ 420-7) between the

inconceivable and the not-distinctly-imaginable. How do we know _which_

things we cannot imagine unless by first conceiving them, meaning

_them_ and not other things?

[391] Arguments seldom make converts in matters philosophical; and

some readers, I know, who find that they conceive a certain matter

differently from what they did, will still prefer saying they have two

different editions of the same conception, one evolved from the other,

to saying they have two different conceptions of the same thing. It

depends, after all, on how we define conception. We ourselves defined

it as the function by which a state of mind means to think the same

whereof it thought on a former occasion. Two states of mind will

accordingly be two editions of the same conception just so far as

either does mean to think what the other thought; but no farther. If

either mean to think what the other did not think, it is a different

conception from the other. And if either mean to think all that the

other thought, _and more_, it is a different conception, so far as the

_more_ goes. In this last case one state of mind has two conceptual

functions. Each thought decides, by its own authority, which, out of

all the conceptive functions open to it, it shall now renew; with

which other thought it shall identify itself as a conceiver, and just

how far. "The same A which I once meant," it says, "I shall now mean

again, and mean it with C as its predicate (or what not) instead of B,

as before." In all this, therefore, there is absolutely no changing,

but only uncoupling and recoupling of conceptions. Compound conceptions

come, as functions of new states of mind. Some of these functions are

the same with previous ones, some not. Any changed opinion, then,

_partly_ contains new editions (absolutely identical with the old,

however) of former conceptions, _partly_ absolutely new conceptions.

The division is a perfectly easy one to make in each particular case.

[392] Principles of Human Knowledge, Introduction, §§ 10, 14.

[393] 'Conceptualisme honteux,' Rabier, Psychologie, 310.

[394] Exam. of Hamilton, p. 393. Cf. also Logic, bk. ii, chap. v, § 1,

and bk iv, chap ii, § 1.

[395] E.g.: "The knowledge of things must mean that the mind finds

itself in them, or that, in some way, the difference between them and

the mind is dissolved." (E. Caird, Philosophy of Kant, first edition,

p. 553.)

[396] The traditional conceptualist doctrine is that an abstract must

_eo ipso_ be a universal. Even modern and independent authors like

Prof. Dewey (Psychology, 207) obey the tradition: "The mind seizes

upon some one aspect,... abstracts or prescinds it. This very seizure

of some one element generalizes the one abstracted.... Attention, in

drawing it forth, makes it a distinct content of consciousness, and

thus universalizes it; it is considered no longer in its particular

connection with the object, but on its own account; that is, as an

idea, or what it signifies to the mind; and significance is always

universal."

[397] C. F. Reid's Intellectual Powers, Essay v, chap.

iii.--_Whiteness_ is one thing, _the whiteness of this sheet of paper_

another thing.

[398] Mr. F. H. Bradley says the conception or the 'meaning' "consists

of a part of the content, cut off, fixed by the mind, and considered

apart from the existence of the sign. It would not be correct to add,

and referred away to another real subject; for where we think without

judging, and where we deny, that description would not be applicable."

This seems to be the same doctrine as ours; the application to one or

to all subjects of the abstract fact conceived (i.e. its individuality

or its universality), constituting a new conception. I am, however,

not quite sure that Mr. Bradley steadily maintains this ground. Cf.

the first chapter of his Principles of Logic. The doctrine I defend

is stoutly upheld in Rosmini's Philosophical System, Introduction by

Thomas Davidson, p. 43 (London, 1882).

[399] Lectures on Greek Philosophy, pp. 33-39.

[400] Analysis, chap. viii.

[401] Principles of Human Knowledge, Introduction, §§ 11, 12.

[402] It may add to the effect of the text to quote a passage from the

essay in 'Mind,' referred to on p. 224.

"Why may we not side with the conceptualists in saying that the

universal sense of a word does correspond to a mental fact of _some_

kind, but at the same time, agreeing with the nominalists that all

mental facts are modifications of subjective sensibility, why may we

not call that fact a 'feeling'? _Man_ meant for _mankind_ is in short

a different feeling from _man_ as a mere noise, or from _man_ meant

for _that_ man, to wit, John Smith alone. Not that the difference

consists simply in the fact that, when taken universally, the word

has one of Mr. Galton's 'blended' images of man associated with it.

Many persons have seemed to think that these blended or, as Prof.

Huxley calls them, 'generic' images are equivalent to concepts. But,

in itself, a blurred thing is just as particular as a sharp thing; and

the generic character of either sharp image or blurred image depends on

its being felt _with its representative function_. This function is the

mysterious _plus_, the understood meaning. But it is nothing applied to

the image from above, no pure act of reason inhabiting a supersensible

and semi-supernatural plane. It can be diagrammatized as continuous

with all the other segments of the subjective stream. It is just that

staining, fringe, or halo of obscurely felt relation to masses of other

imagery about to come, but not yet distinctly in focus, which we have

so abundantly set forth [in Chapter IX].

"If the image come unfringed, it reveals but a simple quality, thing,

or event; if it come fringed, it may reveal something expressly taken

universally or in a scheme of relations. The difference between thought

and feeling thus reduces itself, in the last subjective analysis, to

the presence or absence of 'fringe.' And this in turn reduces itself,

with much probability, in the last physiological analysis, to the

absence or presence of sub-excitements in other convolutions of the

brain than those whose discharges underlie the more definite nucleus,

the substantive ingredient, of the thought,--in this instance, the word

or image it may happen to arouse.

"The contrast is not, then, as the Platonists would have it, between

certain subjective facts called images and sensations, and others

called acts of relating intelligence; the former being blind perishing

things, knowing not even their own existence as such, whilst the latter

combine the poles in the mysterious synthesis of their cognitive sweep.

The contrast is really between two _aspects_, in which all mental

facts without exception may be taken; their structural aspect, as

being subjective, and their functional aspect, as being cognitions.

In the former aspect, the highest as well as the lowest is a feeling,

a peculiarly tinged segment of the stream. This tingeing is its

sensitive body, the _wie ihm zu Muthe ist_, the way it feels whilst

passing. In the latter aspect, the lowest mental fact as well as the

highest may grasp some bit of truth as its content, even though that

truth were as relationless a matter as a bare unlocalized and undated

quality of pain. From the cognitive point of view, all mental facts

are intellections. From the subjective point of view all are feelings.

Once admit that the passing and evanescent are as real parts of the

stream as the distinct and comparatively abiding; once allow that

fringes and halos, inarticulate perceptions, whereof the objects are as

yet unnamed, mere nascencies of cognition, premonitions, awarenesses

of direction, are thoughts _sui generis_, as much as articulate

imaginings and propositions are; once restore, I say, the _vague_ to

its psychological rights, and the matter presents no further difficulty.

"And then we see that the current opposition of Feeling to Knowledge

is quite a false issue. If every feeling is at the same time a bit

of knowledge, we ought no longer to talk of mental states differing

by having more or less of the cognitive quality; they only differ in

knowing more or less, in having much fact or little fact for their

object. The feeling of a broad scheme of relations is a feeling that

knows much; the feeling of a simple quality is a feeling that knows

little. But the knowing itself, whether of much or of little, has the

same essence, and is as good knowing in the one case as in the other.

Concept and image, thus discriminated through their objects, are

consubstantial in their inward nature, as modes of feeling. The one,

as particular, will no longer be held to be a relatively base sort

of entity, to be taken as a matter of course, whilst the other, as

universal, is celebrated as a sort of standing miracle, to be adored

but not explained. Both concept and image, _quâ_ subjective, are

singular and particular. Both are moments of the stream, which come

and in an instant are no more. The word universality has no meaning as

applied to their psychic body or structure, which is always finite. It

only has a meaning when applied to their use, import, or reference to

the kind of object they may reveal. The representation, as such, of

the universal object is as particular as that of an object about which

we know so little that the interjection 'Ha!' is all it can evoke from

us in the way of speech. Both should be weighed in the same scales,

and have the same measure meted out to them whether of worship or of

contempt." (Mind, ix, pp. 18-19.)

[403] Hodgson, Time and Space, p. 404.

[404] Compare the admirable passage in Hodgson's Time and Space, p. 310.

[405] Philosophy of Reflection, i, 273-308.

CHAPTER XIII.

DISCRIMINATION AND COMPARISON.

It is matter of popular observation that some men have sharper senses

than others, and that some have acuter minds and are able to 'split

hairs' and see two shades of meaning where the majority see but one.

Locke long ago set apart the faculty of discrimination as one in which

men differ individually. What he wrote is good enough to quote as an

introduction to this chapter:

"Another faculty we may take notice of in our minds is that of

discerning and distinguishing between the several ideas it has. It

is not enough to have a confused perception of something in general:

unless the mind had a distinct perception of different objects and

their qualities, it would be capable of very little knowledge; though

the bodies that affect us were as busy about us as they are now,

and the mind were continually employed in thinking. On this faculty

of distinguishing one thing from another depends the evidence and

certainty of several even very general propositions, which have passed

for innate truths; because men, overlooking the true cause why those

propositions find universal assent, impute it wholly to native uniform

impressions; whereas it in truth depends upon this clear discerning

faculty of the mind, whereby it perceives two ideas to be the same or

different. But of this more hereafter?

"How much the imperfection of accurately discriminating ideas one from

another lies either in the dulness or faults of the organs of sense,

or want of acuteness, exercise, or attention in the understanding, or

hastiness and precipitancy natural to some tempers, I will not here

examine: it suffices to take notice that this is one of the operations

that the mind may reflect on and observe in itself. It is of that

consequence to its other knowledge, that so far as this faculty is in

itself dull, or not rightly made use of for the distinguishing one

thing from another, so far our notions are confused, and our reason

and judgment disturbed or misled. If in having our ideas in the

memory ready at hand consists quickness of parts; in this of having

them unconfused, and being able nicely to distinguish one thing from

another where there is but the least difference, consists in a great

measure the exactness of judgment and clearness of reason which is to

be observed in one man above another. And hence, perhaps, may be given

some reason of that common observation,--that men who have a great

deal of wit and prompt memories have not always the clearest judgment

or deepest reason. For, wit lying most in the assemblage of ideas, and

putting those together with quickness and variety wherein can be found

any resemblance or congruity, thereby to make up pleasant pictures and

agreeable visions in the fancy; judgment, on the contrary, lies quite

on the other side, in separating carefully one from another ideas

wherein can be found the least difference, thereby to avoid being

misled by similitude and by affinity to take one thing for another.

This is a way of proceeding quite contrary to metaphor and allusion,

wherein for the most part lies that entertainment and pleasantry of

wit which strikes so lively on the fancy, and therefore, so acceptable

to all people because its beauty appears at first sight, and there is

required no labor of thought to examine what truth or reason there is

in it."[406]

But Locke's descendants have been slow to enter into the path whose

fruitfulness was thus pointed out by their master, and have so

neglected the study of discrimination that one might almost say that

the classic English psychologists have, as a school, hardly recognized

it to exist. 'Association' has proved itself in their hands the one

all-absorbing power of the mind. Dr. Martineau, in his review of Bain,

makes some very weighty remarks on this onesidedness of the Lockian

school. Our mental history, says he, is, in its view,

"a perpetual formation of new compounds: and the words 'association,'

'cohesion,' 'fusion,' 'indissoluble connection,' all express the

change from plurality of data to some unity of result. An explanation

of the process therefore requires two things: a true enumeration of

the primary constituents, and a correct statement of their laws of

combination: just as, in chemistry, we are furnished with a list of

the simple elements, and the with then principles of their synthesis.

Now the latter of these two conditions we find satisfied by the

association-psychologists: but not the former. They are not agreed

upon their catalogue of elements, or the marks by which they may know

the simple from the compound. The psychologic unit is not fixed; that

which is called one impression by Hartley is treated as half-a-dozen

or more by Mill: and the tendency of the modern teachers on this point

is to recede more and more from the better-chosen track of their

master. Hartley, for example, regarded the whole present effect upon

us of any single object--say, an orange--as a single sensation; and

the whole vestige it left behind, as a single 'idea of sensation.'

His modern disciples, on the other hand, consider this same effect

as an aggregate from a plurality of sensations, and the ideal trace

it leaves as highly compound. 'The idea of an object,' instead of

being an elementary starting-point with them, is one of the elaborate

results of repetition and experience; and is continually adduced as

remarkably illustrating the fusing power of habitual association. Thus

James Mill observes:

"'It is to this great law of association that we trace the formation

of our ideas of what we call external objects; that is, the ideas of

a certain number of sensations, received together so frequently that

they coalesce as it were, and are spoken of under the idea of unity.

Hence, what we call the idea of a tree, the idea of a stone, the

idea of a horse, the idea of a man. In using the names, tree, horse,

man, the names of what I call objects, I am referring, and can be

referring, only to my own sensations; in fact, therefore, only naming

a certain number of sensations regarded as in a particular state of

combination, that is, concomitance. Particular sensations of sight,

of touch, of the muscles, are the sensations to the ideas of which,

color, extension, roughness, hardness, smoothness, taste, smell, so

coalescing as to appear one idea, I give the name of the idea of a

tree.'[407]

"To precisely the same effect Mr. Bain remarks:

"'External objects usually affect us through a plurality of senses.

The pebble on the sea-shore is pictured on the eye as form and color.

We take it up in the hand and repeat the impression of form, with

the additional feeling of touch. Knock two together, and there is a

characteristic sound. To preserve the impression of an object of this

kind, there must be an association of all these different effects.

Such association, when matured and firm, is our idea, our intellectual

grasp of the pebble. Passing to the organic world, and plucking a

rose, we have the same effects of form to the eye and hand, color and

touch, with new effects of odor and taste. A certain time is requisite

for the coherence of all these qualities in one aggregate, so as to

give us for all purposes the enduring image of the rose. When fully

acquired, any one of the characteristic impressions will revive the

others; the odor, the sight, the feeling of the thorny stalk--each of

these by itself will hoist the entire impression into the view.'[408]

"Now, this order of derivation, making our objective knowledge begin

with plurality of impression and arrive at unity, we take to be a

complete inversion of our psychological history. Hartley, we think,

was perfectly right in taking no notice of the number of inlets

through which an object delivers its effect upon us, and, in spite of

this circumstance, treating the effect as one.... Even now, after life

has read us so many analytic lessons, in proportion as we can fix the

attitude of our scene and ourselves, the sense of plurality in our

impressions retreats, and we lapse into an undivided consciousness;

losing, for instance, the separate notice of any uniform hum in the

ear, or light in the eye, or weight of clothes on the body, though

not one of them is inoperative on the complexion of our feeling. This

law, once granted, must be carried far beyond Hartley's point. Not

only must each object present itself to us integrally before it shells

off into its qualities, but the whole scene around us must disengage

for us object after object from its still background by emergence and

change; and even our self-detachment from the world over against us

must wait for the start of collision between the force we issue and

that which we receive. To confine ourselves to the simplest case:

when a red ivory ball, seen for the first time, has been withdrawn,

it will leave a mental representation of itself, in which all that it

simultaneously gave us will indistinguishably coexist. Let a white

ball succeed to it; now, and not before, will an attribute detach

itself, and the color, by force of contrast, be shaken out into the

foreground. Let the white ball be replaced by an egg: and this new

difference will bring the form into notice from its previous slumber.

And thus, that which began by being simply an object, cut out from the

surrounding scene, becomes for us first a _red_ object, and then a

_red round_ object; and so on. Instead, therefore, of the qualities,

as separately given, subscribing together and adding themselves up

to present us with the object as their aggregate, the object is

beforehand with them, and from its integrity delivers them out to our

knowledge, one by one. In this disintegration, the primary nucleus

never loses its substantive character or name; whilst the difference

which it throws off appears as a mere attribute, expressed by an

adjective. Hence it is that we are compelled to think of the object as

_having_, not as _being_, its qualities; and can never heartily admit

the belief of any loose lot of attributes really fusing themselves

into a _thing_. The unity of the original whole is not felt to go

to pieces and be resolved into the properties which it successively

gives off; it retains a residuary existence, which constitutes it

a _substance_, as against the emerging quality, which is only its

_phenomenal predicate_. Were it not for this perpetual process of

differentiation of self from the world, of object from its scene,

of attribute from object, no step of Abstraction could be taken; no

qualities could fall under our notice; and had we ten thousand senses,

they would all converge and meet in but one consciousness. But if this

be so, it is an utter falsification of the order of nature to speak

of sensations grouping themselves into aggregates, and so composing

for us the objects of which we think; and the whole language of

the theory, in regard to the field of synchronous existences, is a

direct inversion of the truth. Experience proceeds and intellect is

trained, not by Association, but by _Dissociation_, not by reduction

of pluralities of impression to one, but by the opening out of one

into many; and a true psychological history must expound itself in

analytic rather than synthetic terms. Precisely those ideas--of

Substance, of Mind, of Cause, of Space--which this system treats as

infinitely complex, the last result of myriads of confluent elements,

are in truth the residuary simplicities of consciousness, whose

stability the eddies and currents of phenomenal experience have left

undisturbed."[409]

The truth is that Experience is trained by _both_ association and

dissociation, and that psychology must be writ _both_ in synthetic and

in analytic terms. Our original sensible totals are, on the one hand,

subdivided by discriminative attention, and, on the other, united

with other totals,--either through the agency of our own movements,

carrying our senses from one part of space to another, or because new

objects come successively and replace those by which we were at first

impressed. The 'simple impression' of Hume, the 'simple idea' of Locke

are both abstractions, never realized in experience. Experience, from

the very first, presents us with concreted objects, vaguely continuous

with the rest of the world which envelops them in space and time, and

potentially divisible into inward elements and parts. These objects

we break asunder and reunite. We must treat them in both ways for our

knowledge of them to grow; and it is hard to say, on the whole, which

way preponderates. But since the elements with which the traditional

associationism performs its constructions--'simple sensations,'

namely--are all products of discrimination carried to a high pitch, it

seems as if we ought to discuss the subject of analytic attention and

discrimination first.

The noticing of any _part_ whatever of our object is an act of

discrimination. Already on p. 404 I have described the manner in which

we often spontaneously lapse into the undiscriminating state, even with

regard to objects which we have already learned to distinguish. Such

anæsthetics as chloroform, nitrous oxide, etc., sometimes bring about

transient lapses even more total, in which numerical discrimination

especially seems gone; for one sees light and hears sound, but whether

one or many lights and sounds is quite impossible to tell. Where the

parts of an object have already been discerned, and each made the

object of a special discriminative act, we can with difficulty feel

the object again in its pristine unity; and so prominent may our

consciousness of its composition be, that we may hardly believe that it

ever could have appeared undivided. But this is an erroneous view, the

undeniable fact being that _any number of impressions, from any number

of sensory sources, falling simultaneously on a mind_ WHICH HAS NOT YET

EXPERIENCED THEM SEPARATELY, _will fuse into a single undivided object

for that mind._ The law is that all things fuse that _can_ fuse, and

nothing separates except what must. What makes impressions separate

we have to study in this chapter. Although they separate easier if

they come in through distinct nerves, yet distinct nerves are not an

unconditional ground of their discrimination, as we shall presently

see. The baby, assailed by eyes, ears, nose, skin, and entrails at

once, feels it all as one great blooming, buzzing confusion; and to the

very end of life, our location of all things in one space is due to the

fact that the original extents or bignesses of all the sensations which

came to our notice at once, coalesced together into one and the same

space. There is no other reason than this why "the hand I touch and see

coincides spatially with the hand I immediately feel."[410]

It is true that we may sometimes be tempted to exclaim, when once a

lot of hitherto unnoticed details of the object lie before us, "How

could we ever have been ignorant of these things and yet have felt

the object, or drawn the conclusion, as if it were a _continuum_, a

_plenum_? There would have been _gaps_--but we felt no gaps; wherefore

we must have seen and heard these details, leaned upon these steps;

they must have been operative upon our minds, just as they are now,

only _unconsciously_, or at least _inattentively_. Our first unanalyzed

sensation was really composed of these elementary sensations, our first

rapid conclusion was really based on these intermediate inferences, all

the while, only we failed to note the fact." But this is nothing but

the fatal 'psychologist's fallacy' (p. 196) of treating an inferior

state of mind as if it must somehow know implicitly all that is

explicitly known _about the same topic_ by superior states of mind.

The thing thought of is unquestionably the same, but it is thought

twice over in two absolutely different psychoses,--once as an unbroken

unit, and again as a sum of discriminated parts. It is not one thought

in two editions, but two entirely distinct thoughts of one thing.

And each thought is within itself a _continuum_, a _plenum_, needing

no contributions from the other to fill up its gaps. As I sit here,

I think objects, and I make inferences, which the future is sure to

analyze and articulate and riddle with discriminations, showing me

many things wherever I now notice one. Nevertheless, my thought feels

quite sufficient unto itself for the time being; and ranges from pole

to pole, as free, and as unconscious of having overlooked anything, as

if it possessed the greatest discriminative enlightenment. We all cease

analyzing the world at some point, and notice no more differences. The

last units with which we stop are our objective elements of being.

Those of a dog are different from those of a Humboldt; those of a

practical man from those of a metaphysician. But the dog's and the

practical man's thoughts _feel_ continuous, though to the Humboldt or

the metaphysician they would appear full of gaps and defects. And they

_are_ continuous, _as thoughts_. It is only _as mirrors of things_ that

the superior minds find them full of omissions. And when the omitted

things are discovered and the unnoticed differences laid bare, it is

not that the old _thoughts_ split up, but that _new thoughts supersede_

them, which make new judgments about the same objective world.

THE PRINCIPLE OF MEDIATE COMPARISON.

When we discriminate an element, we may contrast it with the case of

its own absence, of its simply not being there, without reference

to what _is_ there; or we may also take the latter into account.

Let the first sort of discrimination be called _existential_, the

latter _differential_ discrimination. A peculiarity of differential

discriminations is that they result in a perception of differences

which are felt as _greater or less_ one than the other. Entire groups

of differences may be ranged in series: the musical scale, the color

scale, are examples. Every department of our experience may have

its data written down in an evenly gradated order, from a lowest to

a highest member. And any one datum may be a term in several such

orders. A given note may have a high place in the pitch-series, a low

place in the loudness-series, and a medium place in the series of

agreeablenesses. A given tint must, in order to be fully determined,

have its place assigned in the series of qualities, in the series

of purities (freedom from white), and in the series of intensities

or brightnesses. It may be low in one of these respects, but high

in another. In passing from term to term in any such series we are

conscious not only of each step of difference being equal to (or

greater or less than) the last, but we are conscious of proceeding

in a _uniform direction_, different from other possible directions.

This _consciousness of serial increase of differences_ is one of the

fundamental facts of our intellectual life. More, _more_, MORE, of the

same kind of difference, we say, as we advance from term to term, and

realize that the farther on we get the larger grows the breach between

the term we are at and the one from which we started. Between any two

terms of such a series the difference is greater than that between

any intermediate terms, or than that between an intermediate term and

either of the extremes. The louder than the loud is louder than the

less loud; the farther than the far is farther than the less far; the

earlier than the early is earlier than the late; the higher than the

high is higher than the low; the bigger than the big is bigger than

the small; or, to put it briefly and universally, _the more than the

more is more than the less_; such is _the great synthetic principle of

mediate comparison which is involved in the possession by the human

mind of the sense of serial increase_. In Chapter XXVIII we shall see

the altogether overwhelming importance of this principle in the conduct

of all our higher rational operations.

ARE ALL DIFFERENCES DIFFERENCES OF COMPOSITION?

Each of the differences in one of these uniform series feels like a

definite sensible quantity, and each term seems like the last term with

this quantity added. In many concrete objects which differ from one

another we can plainly see that the difference does consist singly

in the fact that one object is the same as the other _plus_ something

else, or that they both have an identical part, to which each adds

a distinct remainder. Thus two pictures may be struck from the same

block, but one of them may differ in having color added; or two carpets

may show an identical pattern which in each is woven in distinct hues.

Similarly, two classes of sensation may have the same emotional tone

but negate each other in remaining respects--a dark color and a deep

sound, for example; or two faces may have the same shape of nose but

everything else unlike. The similarity of the same note sounded by

instruments of different timbre is explained by the coexistence of

a fundamental tone common to both, with over-tones in one which the

other lacks. Dipping my hand into water and anon into a colder water,

I may then observe certain additional feelings, broader and deeper

irradiations of the cold, so to speak, which were not in the earlier

experience, though for aught I can tell, the feelings may be otherwise

the same. 'Hefting' first one weight, and then another, new feelings

may start out in my elbow-joint, wrist, and elsewhere, and make me call

the second weight the heavier of the twain. In all these cases each

of the differing things may be represented by two parts, one that is

common to it and the others, and another that is peculiar to itself. If

they form a series, _A, B, C, D,_ etc., and the common part be called

_X_, whilst the lowest difference be called _d_, then the composition

of the series would be as follows:

_A_ = _X_ + _d_;

_B_ = (_X_ + _d_) + _d_, or _X_ + 2_d_;

_C_ = _X_ + 3_d_;

_D_ = _X_ + 4_d_;

........

If _X_ itself were ultimately composed of _d_'s we should have

the entire series explained as due to the varying combination and

re-combination with itself of an unvarying element; and all the

apparent differences of quality would be translated into differences

of quantity alone. This is the sort of reduction which the atomic

theory in physics and the mind-stuff theory in psychology regard as

their ideal. So that, following the analogy of our instances, one might

easily be tempted to generalize and to say that all difference is

but addition and subtraction, and that what we called 'differential'

discrimination is only 'existential' discrimination in disguise; that

is to say, that where _A_ and _B_ differ, we merely discern something

in the one which the other is without. _Absolute identity in things

up to a certain point, then absolute non-identity,_ would on this

theory take the place of those ultimate qualitative unlikenesses

between them, in which we naturally believe; and the mental function

of discrimination, ceasing to be regarded as an ultimate one, would

resolve itself into mere logical affirmation and negation, or

perception that a feature found in one thing, in another does not exist.

* * * * *

Theoretically, however, this theory is full of difficulty. If all the

differences which we feel were _in one direction_, so that all objects

could be arranged in one series (however long), it might still work.

But when we consider the notorious fact that objects differ from each

other in _divergent directions_, it grows well nigh impossible to make

it do so. For then, supposing that an object differed from things

in one direction by the increment _d_, it would have to differ from

things in another direction by a different sort of increment, call it

_d'_; so that, after getting rid of qualitative unlikeness between

objects, we should have it back on our hands again between their

increments. We may of course re-apply our method, and say that the

difference between _d_ and _d'_ is not a qualitative unlikeness, but a

fact of composition, one of them being the same as the other _plus_ an

increment of still higher order, _δ_ for example, added. But when we

recollect that everything in the world can be compared with everything

else, and that the number of directions of difference is indefinitely

great, then we see that the complication of self-compoundings of the

ultimate differential increment by which, on this theory, all the

innumerable unlikenesses of the world are explained, in order to avoid

writing any of them down as ultimate differences of kind, would beggar

all conception. It is the mind-dust theory; with all its difficulties

in a particularly uncompromising form; and all for the sake of the

fantastic pleasure of being able arbitrarily to say that there is

between the things in the world and between the 'ideas' in the mind

nothing but absolute sameness and absolute not-sameness of elements,

the not-sameness admitting no degrees.

To me it seems much wiser to turn away from such transcendental

extravagances of speculation, and to abide by the natural appearances.

These would leave unlikeness as an indecomposable relation amongst

things, and a relation moreover of which there were all degrees.

Absolute not-sameness would be the maximal degree, absolute sameness

the minimal degree of this unlikeness, the discernment of which would

be one of our ultimate cognitive powers.[411] Certainly the natural

appearances are dead against the notion that no qualitative differences

exist. With the same clearness with which, in certain objects, we do

feel a difference to be a mere matter of _plus_ and _minus_, in other

objects we feel that this is not the case. Contrast our feeling of

the difference between the length of two lines with our feeling of

the difference between blue and yellow, or with that between right

and left. Is right equal to left with something added? Is blue yellow

_plus_ something? If so, _plus_ what?[412] So long as we stick to

_verifiable_ psychology, _we are forced to admit that differences of

simple_ KIND _form an irreducible sort of relation_ between some of

the elements of our experience, and forced to deny that differential

discrimination can everywhere be reduced to the mere ascertainment

that elements present in one fact, in another fail to exist. The

perception that an element exists in one thing and does not exist in

another and the perception of qualitative difference are, in short,

entirely disconnected mental functions.[413]

But at the same time that we insist on this, we must also admit that

differences of quality, however abundant, are not the only distinctions

with which our mind has to deal. Differences which seem of mere

composition, of number, of _plus_ and _minus_, also abound.[414] But it

will be best for the present to disregard all these quantitative cases

and, taking the others (which, by the least favorable calculation, will

still be numerous enough), to consider next _the manner in which we

come to cognize simple differences of kind_. We cannot _explain_ the

cognition; we can only ascertain the conditions by virtue of which it

occurs.

THE CONDITIONS OF DISCRIMINATION.

_What, then, are the conditions under which we discriminate things

differing in a simple way?_

First, _the things must_ BE _different_, either in time, or place, or

quality. If the difference in any of these regards is sufficiently

great, then we cannot overlook it, except by not noticing the things

at all. No one can help singling out a black stripe on a white ground,

or feeling the contrast between a bass note and a high one sounded

immediately after it. Discrimination is here _involuntary_. But where

the objective difference is less, discrimination need not so inevitably

occur, and may even require considerable effort of attention to be

performed at all.

Another condition which then favors it is that the sensations excited

by _the differing objects should not come to us simultaneously but fall

in immediate_ SUCCESSION upon the same organ. It is easier to compare

successive than simultaneous sounds, easier to compare two weights

or two temperatures by testing one after the other with the same

hand, than by using both hands and comparing both at once. Similarly

it is easier to discriminate shades of light or color by moving the

eye from one to the other, so that they successively stimulate the

same retinal tract. In testing the local discrimination of the skin,

by applying compass-points, it is found that they are felt to touch

different spots much more readily when set down one after the other

than when both are applied at once. In the latter case they may be two

or three inches apart on the back, thighs, etc., and still feel as

if they were set down in one spot. Finally, in the case of smell and

taste it is well-nigh impossible to compare simultaneous impressions

at all. The reason why successive impression so much favors the result

seems to be that there is a real _sensation of difference_, aroused

by the shock of transition from one perception to another which is

unlike the first. This sensation of difference has its own peculiar

quality, as difference, which remains sensible, no matter of what sort

the terms may be, between which it obtains. It is, in short, one of

those transitive feelings, or feelings of relation, of which I treated

in a former place (pp. 245 ff.); and, when once aroused, its object

lingers in the memory along with the substantive terms which precede

and follow, and enables our _judgments of comparison_ to be made.

We shall soon see reason to believe that no two terms can possibly

be _simultaneously_ perceived to differ, unless, in a preliminary

operation, we have successively attended to each, and, in so doing, had

the transitional sensation of difference between them aroused. A field

of consciousness, however complex, is never analyzed unless some of

its ingredients have changed. We _now_ discern, 'tis true, a multitude

of coexisting things about us at every moment: but this is because we

have had a long education, and each thing we now see distinct has been

already differentiated from its neighbors by repeated appearances in

successive order. To the infant, sounds, sights, touches, and pains,

form probably one unanalyzed bloom of confusion.[415]

Where the difference between the successive sensations is but slight,

the transition between them must be made as immediate as possible, and

both must be compared _in memory_, in order to get the best results.

One cannot judge accurately of the difference between two similar

wines, whilst the second is still in one's mouth. So of sounds,

warmths, etc.--we must get the dying phases of both sensations of the

pair we are comparing. Where, however, the difference is strong, this

condition is immaterial, and we can then compare a sensation actually

felt with another carried in memory only. The longer the interval of

time between the sensations, the more uncertain is their discrimination.

The difference, thus immediately felt between two terms, is independent

of our ability to identify either of the terms by itself. I can feel

two distinct spots to be touched on my skin, yet not know which is

above and which below. I can observe two neighboring musical tones to

differ, and still not know which of the two is the higher in pitch.

Similarly I may discriminate two neighboring tints, whilst remaining

uncertain which is the bluer or the yellower, or _how_ either differs

from its mate.[416]

* * * * *

With such direct perceptions of difference as this, we must not

confound those entirely unlike cases in which we _infer_ that two

things must differ because we know enough _about_ each of them taken

by itself to warrant our classing them under distinct heads. It often

happens, when the interval is long between two experiences, that our

judgments are guided, not so much by a positive image or copy of the

earlier one, as by our recollection of certain facts about it. Thus I

know that the sunshine to-day is less bright than on a certain day last

week, because I then said it was quite dazzling, a remark I should not

now care to make. Or I know myself to feel better now than I was last

summer, because I can now psychologize, and then I could not. We are

constantly busy comparing feelings with whose quality our imagination

has no sort of _acquaintance_ at the time--pleasures, or pains, for

example. It is notoriously hard to conjure up in imagination a lively

image of either of these classes of feeling. The associationists may

prate of an idea of pleasure being a pleasant idea, of an idea of

pain being a painful one, but the unsophisticated sense of mankind is

against them, agreeing with Homer that the memory of griefs when past

may be a joy, and with Dante that there is no greater sorrow than, in

misery, to recollect one's happier time.

Feelings remembered in this imperfect way _must_ be compared with

present or recent feelings by the aid of what we know about them. We

identify the remote experience in such a case by _conceiving it_. The

most perfect way of conceiving it is by defining it in terms of some

standard scale. If I know the thermometer to stand at zero to-day and

to have stood at 32° last Sunday, I know to-day to be colder, and I

know just how much colder, than it was last Sunday. If I know that a

certain note was _c_, and that this note is _d_, I know that this note

must be the higher of the two.

The inference that two things differ because their concomitants,

effects, names, kinds, or--to put it generally--their _signs_, differ,

is of course susceptible of unlimited complication. The sciences

furnish examples, in the way in which men are led, by noticing

differences in effects, to assume new hypothetical causes, differing

from any known heretofore. But no matter how many may be the steps

by which such inferential discriminations are made, _they all end in

a direct intuition of difference somewhere_. The _last_ ground for

inferring that A and B differ must be that, whilst A is an _m_, B is

an _n_, and that _m_ and _n_ are _seen to differ_. Let us then neglect

the complex cases, the A's and the B's, and go back to the study of the

unanalyzable perception of difference between their signs, the _m_'s

and the _n_'s, when these are seemingly simple terms.

I said that in their immediate succession the shock of their difference

was _felt_. It is felt _repeatedly_ when we go back and forth from

_m_ to _n_; and we make a point of getting it thus repeatedly (by

alternating our attention at least) whenever the shock is so slight

as to be with difficulty perceived. But in addition to being felt

at the brief instant of transition, the difference also feels as

if incorporated and taken up into the second term, which feels

'different-from-the-first' even while it lasts. It is obvious that the

'second term' of the mind in this case is not bald _n_, but a very

complex object; and that the sequence is not simply first '_m_,' then

'_difference_,' then '_n_'; but first '_m_,' then '_difference_,' then

'_n-different-from-m_.' The several thoughts, however, to which these

three several objects are revealed, are three ordinary 'segments' of

the mental 'stream.'

As our brains and minds are actually made, it is impossible to get

certain _m_'s and _n_'s in immediate sequence and to keep them _pure_.

If kept pure, it would mean that they remained uncompared. With us,

inevitably, by a mechanism which we as yet fail to understand, the

shock of difference is felt between them, and the second object is not

_n_ pure, but _n-as-different-from-m_.[417] It is no more a paradox

that under these conditions this cognition of _m_ and _n_ in mutual

relation should occur, than that under other conditions the cognition

of _m_'s or _n_'s simple quality should occur. But as it has been

treated as a paradox, and as a spiritual agent, not itself a portion

of the stream, has been invoked to account for it, a word of further

remark seems desirable.

My account, it will be noted, is merely a description of the facts

as they occur: feelings (or thoughts) each knowing something, but

the later one knowing, if preceded by a certain earlier one, a more

complicated object than it would have known had the earlier one not

been there. I offer no _explanation_ of such a sequence of cognitions.

The explanation (I devoutly expect) will be found some day to depend

on cerebral conditions. Until it is forthcoming, we can only treat the

sequence as a special case of the general law that every experience

undergone by the brain leaves in it a modification which is one factor

in determining what manner of experiences the following ones shall be

(_cf._ pp. 232-236). To anyone who denies the possibility of such a law

I have nothing to say, until he brings his proofs.

The sensationalists and the spiritualists meanwhile (filled both of

them with their notion that the mind must in some fashion _contain_

what it knows) begin by giving a crooked account of the facts. Both

admit that for _m_ and _n_ to be known in any way whatever, little

rounded and finished off duplicates of each must be contained in the

mind as separate entities. These pure ideas, so called, of _m_ and _n_

respectively, succeed each other there. And since they _are distinct_,

say the sensationalists, they are _eo ipso_ distinguished. "To have

ideas different and ideas distinguished, are synonymous expressions;

different and distinguished meaning exactly the same thing," says James

Mill.[418] "Distinguished!" say the spiritualists, "distinguished _by

what_, forsooth? Truly the respective ideas of _m_ and of _n_ in the

mind are distinct. But for that very reason neither can distinguish

itself from the other, for to do that it would have to be aware of the

other, and thus for the time being become the other, and that would

be to get mixed up with the other and to lose its own distinctness.

Distinctness of ideas and idea of distinctness, are not one thing, but

two. This last is a _relation_. Only a _relating principle_, opposed

in nature to all facts of feeling, an Ego, Soul, or Subject, is

competent, by being present to both of the ideas alike, to hold them

together and at the same time to keep them distinct."

But if the plain facts be admitted that the _pure_ idea of '_n_' is

_never in the mind at all_, when '_m_' has once gone before; and that

the feeling '_n-different-from-m_' is itself an absolutely unique

pulse of thought, the bottom of this precious quarrel drops out and

neither party is left with anything to fight about. Surely such a

consummation ought to be welcomed, especially when brought about, us

here, by a formulation of the facts which offers itself so naturally

and unsophistically.[419]

We may, then, conclude our examination of the manner in which simple

involuntary discrimination comes about, by saying, 1) that its vehicle

is a thought possessed of a knowledge of both terms compared and of

their difference; 2) that the necessary and sufficient condition (as

the human mind goes) for arousing this thought is that a thought or

feeling of one of the terms discriminated should, as immediately as

possible, precede that in which the other term is known; and 3) and

that the thought which knows the second term will then also know the

difference (or in more difficult cases will be continuously succeeded

by one which does know the difference) and both of the terms between

which it holds.

This last thought need, however, not _be_ these terms with their

difference, nor _contain_ them. A man's thought can know and mean

all sorts of things without those things getting bodily into it--the

distant, for example, the future, and the past.[420] The vanishing

term in the case which occupies us vanishes; but because it is the

specific term it is and nothing else, it leaves a specific influence

behind it when it vanishes, the effect of which is to determine the

succeeding pulse of thought in a perfectly characteristic way. Whatever

consciousness comes next must know the vanished term and call it

different from the one now there.

Here we are at the end of our tether about involuntary discrimination

of successively felt simple things; and must drop the subject,

hopeless of seeing any deeper into it for the present, and turn to

discriminations of a less simple sort.

THE PROCESS OF ANALYSIS.

And first, of the discrimination of simultaneously felt impressions!

Our first way of looking at a reality is often to suppose it simple,

but later we may learn to perceive it as compound. This new way of

knowing the same reality may conveniently be called by the name of

_Analysis_. It is manifestly one of the most incessantly performed of

all our mental processes, so let us examine the conditions under which

it occurs.

I think we may safely lay down at the outset this fundamental

principle, that _any total impression made on the mind must be

unanalyzable, whose elements are never experienced apart_. The

components of an absolutely changeless group of not-elsewhere-occurring

attributes could never be discriminated. If all cold things were wet

and all wet things cold, if all hard things pricked our skin, and no

other things did so; is it likely that we should discriminate between

coldness and wetness, and hardness and pungency respectively? If all

liquids were transparent and no non-liquid were transparent, it would

be long before we had separate names for liquidity and transparency. If

heat were a function of position above the earth's surface, so that the

higher a thing was the hotter it became, one word would serve for hot

and high. We have, in fact, a number of sensations whose concomitants

are almost invariably the same, and we find it, accordingly, almost

impossible to analyze them out from the totals in which they are found.

The contraction of the diaphragm and the expansion of the lungs, the

shortening of certain muscles and the rotation of certain joints, are

examples. The converging of the eyeballs and the accommodation for near

objects are, for each distance of the object (in the common use of the

eyes) inseparably linked, and neither can (without a sort of artificial

training which shall presently be mentioned) be felt by itself. We

learn that the _causes_ of such groups of feelings are multiple, and

therefore we frame theories about the composition of the feelings

themselves, by 'fusion,' 'integration,' 'synthesis,' or what not. But

by direct introspection no analysis of them is ever made. A conspicuous

case will come to view when we treat of the emotions. Every emotion

has its 'expression,' of quick breathing, palpitating heart, flushed

face, or the like. The expression gives rise to bodily feelings; and

the emotion is thus necessarily and invariably accompanied by these

bodily feelings. The consequence is that it is impossible to apprehend

it as a spiritual state by itself, or to analyze it away from the

lower feelings in question. It is in fact impossible to prove that it

exists as a distinct psychic fact. The present writer strongly doubts

that it does so exist. But those who are most firmly persuaded of its

existence must wait, to prove their point, until they can quote some as

yet unfound pathological case of an individual who shall have emotions

in a body in which either complete paralysis will have prevented their

expression, or complete anæsthesia will have made the latter unfelt.

In general, then, if an object affects us simultaneously in a number of

ways, _abcd_, we get a peculiar integral impression, which thereafter

characterizes to our mind the individuality of that object, and becomes

the sign of its presence; and which is only resolved into _a, b, c, d,_

respectively by the aid of farther experiences. These we now may turn

to consider.

_If any single quality or constituent, a, of such an object, have

previously been known by us isolatedly,_ or have in any other manner

already become an object of separate acquaintance on our part, so that

we have an image of it, distinct or vague, in our mind, disconnected

with _bcd, then that constituent a may be analyzed out from the total

impression_. Analysis of a thing means separate attention to each of

its parts. In Chapter XI we saw that one condition of attending to a

thing was the formation from within of a separate image of that thing,

which should, as it were, go out to meet the impression received.

Attention being the condition of analysis, and separate imagination

being the condition of attention, it follows also that separate

imagination is the condition of analysis. _Only such elements as we

are acquainted with, and can imagine, separately, can be discriminated

within a total sense-impression_. The image seems to welcome its own

mate from out of the compound, and to heighten the feeling thereof;

whereas it dampens and opposes the feeling of the other constituents;

and thus the compound becomes broken for our consciousness into parts.

All the facts cited in Chapter XI, to prove that attention involves

inward reproduction, go to prove this point as well. In looking for any

object in a room, for a book in a library, for example, we detect it

the more readily if, in addition to merely knowing its name, etc., we

carry in our mind a distinct image of its appearance. The assafœtida

in 'Worcestershire sauce' is not obvious to anyone who has not tasted

assafœtida _per se_. In a 'cold' color an artist would never be able to

analyze out the pervasive presence of _blue_, unless he had previously

made acquaintance with the color blue by itself. All the colors we

actually experience are mixtures. Even the purest primaries always come

to us with some white. Absolutely pure red or green or violet is never

experienced, and so can never be discerned in the so-called primaries

with which we have to deal: the latter consequently pass for pure.--The

reader will remember how an overtone can only be attended to in the

midst of its consorts in the voice of a musical instrument, by sounding

it previously alone. The imagination, being then full of it, hears

the like of it in the compound tone. Helmholtz, whose account of this

observation we formerly quoted, goes on to explain the difficulty of

the case in a way which beautifully corroborates the point I now seek

to prove. He says:

"The ultimate simple elements of the sensation of tone, simple tones

themselves, are rarely heard alone. Even those instruments by which

they can be produced (as tuning-forks before resonance-chambers),

when strongly excited, give rise to weak harmonic upper partials,

partly within and partly without the ear.... Hence the opportunities

are very scanty for impressing on our memory an exact and sure image

of these simple elementary tones. But if the constituents are only

indefinitely and vaguely known, the analysis of their sum into them

must be correspondingly uncertain. If we do not know with certainty

how much of the musical tone under consideration is to be attributed

to its prime, we cannot but be uncertain as to what belongs to the

partials. Consequently we must begin by making the individual elements

which have to be distinguished individually audible, so as to obtain

an entirely fresh recollection of the corresponding sensation, and the

whole business requires undisturbed and concentrated attention. We are

even without the ease that can be obtained by frequent repetitions of

the experiment, such as we possess in the analysis of musical chords

into their individual notes. In that case we hear the individual notes

sufficiently often by themselves, whereas we rarely hear simple tones,

and may almost be said never to hear the building up of a compound

from its simple tones."[421]

THE PROCESS OF ABSTRACTION.

Very few elements of reality are experienced by us in absolute

isolation. The most that usually happens to a constituent _a_, of a

compound phenomenon _abcd_, is that its _strength_ relatively to _bcd_

varies from a maximum to a minimum; or that it appears linked with

_other_ qualities, in other compounds, as _aefg_, or _ahik_. Either

of these vicissitudes in the mode of our experiencing _a_ may, under

favorable circumstances, lead us to feel the difference between it and

its concomitants, and to single it out--not absolutely, it is true, but

approximately--and so to analyze the compound of which it is a part.

The act of singling out is then called _abstraction_, and the element

disengaged is an _abstract_.

The Principles of Psychology, Volume 1 (of 2) · 第 25 / 29 章