THINGS, RELATIONS, AND QUANTITIES

As I write, the way is paved for me by Professor Cohen (_Journ. of

Phil., Psy., and Sci. Meth._, Vol. XI, No. 23, Nov. 5, 1914, pp.

623-24), who outlines a theory of relations closely allied to that which

I have in mind. Professor Cohen writes: "Like the distinction between

primary and secondary qualities, the distinction between qualities and

relations seems to me a shifting one because the 'nature' of a thing

changes as the thing shifts from one context to another.... To

Professors Montague and Lovejoy the 'thing' is like an old-fashioned

landowner and the qualities are its immemorial private possessions. A

thing may enter into commercial relations with others, but these

relations are extrinsic. It never parts with its patrimony. To me, the

'nature' of a thing seems not to be so private or fixed. It may consist

entirely of bonds, stocks, franchises, and other ways in which public

credit or the right to certain transactions is represented.... At any

rate, relations or transactions may be regarded as wider or more primary

than qualities or possessions. The latter may be defined as internal

relations, that is, relations _within_ the system that constitutes the

'thing.' The nature of a thing contains an essence, i.e., a group of

characteristics which, in any given system or context, remain invariant,

so that if these are changed the things drop out of our system ... but

the same thing may present different essences in different contexts. As

a thing shifts from one context to another, it acquires new relations

and drops old ones, and in all transformations there is a change or

readjustment of the line between the internal relations which constitute

the essence and the external relations which are outside the inner

circle...."

Before continuing, however, I wish to make certain interpretations of

these statements for which, of course, Professor Cohen is not

responsible, and with which he would not be wholly in agreement. My

general attitude will be shown by the first comment. Concepts are only

means of denoting fragments of experience directly or indirectly given.

If we then try to speak of a "nature of a thing" two interpretations of

this expression are possible. The "thing" as such is only a bit of

reality which some motive, that without undue extension of the term can

be called practical, has led us to treat as more or less isolable from

the rest of reality. Its nature, then, may consist of either its

relations to other practically isolated realities or things, its actual

effective value in its environment (and hence shift with the environment

as Professor Cohen points out), or may consist of its essence, the

"relations within the system," considered from the point of view of the

potentialities implied by these for various environments. In the first

sense the nature may easily change with change in environment, but if it

changes in the second sense, as Professor Cohen remarks, it "drops out

of our system." This I should interpret as meaning that we no longer

have that thing, but some other thing selected from reality by a

different purpose and point of view. I should not say with Professor

Cohen that "the same thing may present different essences in different

contexts." Every reality is more than one thing--man is an aggregate of

atoms, a living being, an animal, and a thinker, and all of these are

different things in essence, although having certain common

characteristics. All attribution of "thingship" is abstraction, and all

particular things may be said to participate in higher, i.e., more

abstract, levels of thingship. Hence the effort to retain a thingship

through a changing of essence seems to me but the echo of the motive

that has so long deduced ontological monism from the logical fact that

to conceive any two things is at least to throw them into a common

universe of discourse. Consequently I should part company from Professor

Cohen on this one point (which is perhaps largely a matter of

definition, though here not unimportant) and distinguish merely the

nature of a thing as _actual_ and as _potential_. Of these the former

alone changes with the environment, while the latter changes only as the

thing ceases to be by passing into some other thing. In other words, if

the example does not do violence to Professor Cohen's thought, I can

quite understand this paper as a stimulator of criticism, or as a means

of kindling a fire. Professor Cohen would, I suspect, take this to mean

that the same thing--this paper--must be looked upon as having two

different essences in two different contexts, for "the same thing may

possess two different essences in different contexts," whereas I should

prefer to interpret the situation as meaning that there are before me

three (and as many more as may be) different things having three

different essences: first, the paper as a physical object having a

considerable number of definite properties; second, written words,

which are undoubtedly in one sense mere structural modifications of the

physical object paper (i.e., coloring on it by ink, etc.), but whose

reality for my purpose lies in the power of evoking ideas acquired by

things as symbols (things, indeed, but things whose essence lies in the

effects they produce upon a reader rather than in their physical

character); and third, the chemical and combustion producing properties

of the paper. Now it is simpler for me to consider the situation as one

in which three things have a common point in thingship, i.e., an

abstract element in common, than to think of "_a_ thing" shifting

contexts and thereby changing its essence.

But now my divergence from Professor Cohen becomes more marked. He

continues with the following example (p. 622): "Our neighbor M. is tall,

modest, cheerful, and we understand a banker. His tallness, modesty,

cheerfulness, and the fact that he is a banker we usually regard as his

qualities; the fact that he is our neighbor is a relation which he seems

to bear to us. He may move his residence, cease to be our neighbor, and

yet remain the same person with the same qualities. If, however, I

become his tailor, his tallness becomes translated into certain

relations of measurement; if I become his social companion, his modesty

means that he will stand in certain social relations with me, etc." In

other words, we are illustrating the doctrine that "qualities are

reducible to relations" (cf. p. 623). This doctrine I cannot quite

accept without modification, for I cannot tell what it means. Without

any presuppositions as to subjectivity or consciousness (cf. p. 623,

(a).) there are in the world as I know it certain colored objects--let

the expression be taken naively to avoid idealistico-realistic

discussion which is here irrelevant. Now it is as unintelligible to me

that the red flowers and green leaves of the geraniums before my windows

should be reducible to mere relations in any existential sense, as it

would be to ask for the square root of their odor, though of course it

is quite intelligible that the physical theory and predictions

concerning green and red surfaces (or odors) should be stated in terms

of atomic distances and ether vibrations of specific lengths. The

scientific conception is, after all, nothing more than an indication of

how to take hold of things and manipulate them to get foreseen results,

and its entities are real things only in the sense that they are the

practically effective keynotes of the complex reality. Accordingly,

instead of reducing qualities to relations, it seems to me a much more

intelligible view to consider relations as abstract ways of taking

qualities in general, as qualities thought of in their function of

bridging a gap or making a transition between two bits of reality that

have previously been taken as separate things. Indeed, it is just

because things are not ontologically independent beings (but rather

selections from genuinely concatenated existence) that relations become

important as indications of the practical significance of qualitative

continuities which have been neglected in the prior isolation of the

thing. Thus, instead of an existential world that is "a network of

relations whose intersections are called terms" (p. 622), I find more

intelligible a qualitatively heterogeneous reality that can be variously

partitioned into things, and that can he abstractly replaced by systems

of terms and relations that are adequate to symbolize their effective

nature in particular respects. There is a tendency for certain

attributes to maintain their concreteness (qualitativeness) in things,

and for others to suggest the connection of things with other things,

and so to emphasize a more abstract aspect of experience. Thus then

arises a temporary and practical distinction that tends to be taken as

opposition between qualities and relations. As spatial and temporal

characteristics possess their chief practical value in the connection of

things, so they, like Professor Cohen's neighbor-character, are

ordinarily assumed abstractly as mere relations, while shapes, colors,

etc., and Professor Cohen's "modesty, tallness, cheerfulness," may be

thought of more easily without emphasis on other things and so tend to

be accepted in their concreteness as qualities, but how slender is the

dividing-line Professor Cohen's easy translation of these things into

relations makes clear.

Taken purely intellectualistically, there would be first a fiction of

separation in what is really already continuous and then another fiction

to bridge the gap thus made. This would, of course, be the falsification

against which Bergson inveighs. But this interpretation is to

misunderstand the nature of abstraction. Abstraction does not substitute

an unreal for a real, but selects from reality a genuine characteristic

of it which is adequate for a particular purpose. Thus to conceive time

as a succession of moments is not to falsify time, but to select from

processes going on in time a characteristic of them through which

predictions can be made, which may be verified and turned into an

instrument for the control of life or environment. A similar

misunderstanding of abstraction, coupled with a fuller appreciation than

Bergson evinces of the value of its results, has led to the

neo-realistic insistence on turning abstractions into existent entities

of which the real world is taken to be an organized composite aggregate.

The practice of turning qualities into merely conscious entities has

done much to obscure the status of scientific knowing, for it has left

mere quantity as the only real character of the actual world. But once

take a realistic standpoint, and quantity is no more real than quality.

For primitive man, the qualitative aspect of reality is probably the

first to which he gives heed, and it is only through efforts to get

along with the world in its qualitative character that its quantitative

side is forced upon the attention. Then so-called "exact" science is

born, but it does not follow that qualities henceforth become

insignificant. They are still the basis of all relations, even of those

that are most directly construed as quantitative. Quality and quantity

are only different aspects of the world which the status of our

practical life leads us to take separately or abstractly. "Thing" is no

less an abstraction, in which we disregard certain continuities with the

rest of the world because we are so constituted that the demands of

living make it expedient to do so. Things once given, further

abstractions become possible, among which are those leading to

mathematical thinking, in which higher abstractions are made, guided

always by the "generating problem" (cf. Karl Schmidt, _Jour. of Phil.,

Psy., and Sci. Meth._, Vol. X, No. 3, 1913, pp. 64-75).

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