J.S. Mill's statement is more guarded and particular:--

"When two phenomena have been very often experienced in conjunction,

and have not, in any single instance, occurred separately either in

experience or in thought, there is produced between them what has been

called inseparable, or, less correctly, indissoluble, association; by

which is not meant that the association must inevitably last to the

end of life--that no subsequent experience or process of thought can

possibly avail to dissolve it; but only that as long as no such

experience or process of thought has taken place, the association is

irresistible; it is impossible for us to think the one thing disjoined

from the other."--(_Examination of Hamilton's Philosophy_, 2nd ed. p.

191.)

It is chiefly by J.S. Mill that the philosophical application of the

principle has been made. The first and most obvious application is to

so-called necessary truths--such, namely, as are not merely analytic

judgments but involve a synthesis of distinct notions. Again, the same

thinker sought to prove Inseparable Association the ground of belief

in an external objective world. The former application, especially, is

facilitated, when the experience through which the association is

supposed to be constituted is understood as cumulative in the race,

and transmissible as original endowment to individuals--endowment that

may be expressed either, subjectively, as latent intelligence, or,

objectively, as fixed nervous connexions. Spencer, as before

suggested, is the author of this extended view of mental association.

_Modern Criticism._--Of recent years the associationist theory has

been subjected to searching criticism, and it has been maintained by

many writers that the laws are both unsatisfactorily expressed and

insufficient to explain the facts. Among the most vigorous and

comprehensive of these investigations is that of F.H. Bradley in his

_Principles of Logic_ (1883). Having admitted the psychological fact

of mental association, he attacks the theories of Mill and Bain

primarily on the ground that they purport to give an account of mental

life as a whole, a metaphysical doctrine of existence. According to

this doctrine, mental activity is ultimately reducible to particular

feelings, impressions, ideas, which are disparate and unconnected,

until chance Association brings them together. On this assumption the

laws of Association naturally emerge in the following form:--(1) The

_law of Contiguity._--"Actions, sensations and states of feeling,

occurring together or in close connexion, tend to grow together, or

cohere, in such a way that, when any one of them is afterwards

presented to the mind, the others are apt to be brought up in idea"

(A. Bain, _Senses and Intellect_, p. 327). (2) The _law of

Similarity._--"Present actions, sensation, thoughts or emotions tend

to revive their like among previous impressions or states" (A. Bain,

_ibid._ 457. Compare J.S. Mill, _Logic_, ii. p. 440, 9th ed.). The

fundamental objection to (1) is that ideas and impressions once

experienced do not recur; they are particular existences, and, as

such, do not persevere to recur or be presented. So Mill is wrong in

speaking of two impressions being "frequently experienced." Bradley

claims thus to reduce the law to "When we have experienced (or even

thought of) several pairs of impressions (simultaneous or successive),

which pairs are like one another; then whenever an idea occurs which

is like all the impressions on one side of these pairs, it tends to

excite an idea which is like all the impressions on the other side."

This statement is destructive of the title of the law, because it

appears that what were contiguous (the impressions) are not

associated, and what are associated (the ideas) were not contiguous;

in other words, the association is not due to contiguity at all.

Proceeding to the law of Similarity (which in Mill's view is at the

back of association by contiguity), and having made a similar

criticism of its phrasing, Bradley maintains that it involves an even

greater absurdity; if two ideas are to be recognized as similar, they

must both be present in the mind; if one is to call up the other, one

must be absent. To the obvious reply that the similarity is recognized

_ex post facto_, and not while the former idea is being called up,

Bradley replies simply that such a view reduces the law to the mere

statement of a phenomenon and deprives it of any explanatory value,

though he hardly makes it clear in what sense this necessarily

invalidates the law from a psychological point of view. He further

points out with greater force that in point of fact mere similarity is

not the basis of ordinary cases of mental reproduction, inasmuch as in

any given instance there is more difference than similarity between

the ideas associated.

Bradley himself bases association on identity plus contiguity:--"Any

part of a single state of mind tends, if reproduced, to re-instate the

remainder," or "any element tends to reproduce those elements with

which it has formed one state of mind." This law he calls by the name

"redintegration," understood, of course, in a sense different from

that in which Hamilton used it. The radical difference between this

law and those of Mill and Bain is that it deals not with particular

units of thoughts but with universals or identity between individuals.

In any example of such reproduction the universal appears in a

particular form which is more or less different from that in which it

originally existed.

_Psychophysical Researches._--Bradley's discussion deals with the

subject purely from the metaphysical side, and the total result

practically is that association occurs only between universals. From

the point of view of empirical psychologists Bradley's results are

open to the charge which he made against those who impugned his view

of the law of similarity, namely that they are merely a statement--not

in any real sense an explanation. The relation between the mental and

the physical phenomena of association has occupied the attention of

all the leading psychologists (see PSYCHOLOGY). William James holds

that association is of "objects" not of "ideas," is between "things

thought of"--so far as the word stands for an effect. "So far as it

stands for a cause it is between processes in the brain." Dealing with

the law of Contiguity he says that the "most natural way of accounting

for it is to conceive it as a result of the laws of habit in the

nervous system; in other words to ascribe it to a physiological

cause." Association is thus due to the fact that when a nerve current

has once passed by a given way, it will pass more easily by that way

in future; and this fact is a physical fact. He further seeks to

maintain the important deduction that the only primary or ultimate law

of association is that of neural habit.

The objections to the associationist theory are summed up by G.F.

Stout (_Analytic Psychol._, vol. ii. pp. 47 seq.) under three heads.

Of these the first is that the theory as stated, e.g. by Bain, lays

far too much stress on the mere connexion of elements hitherto

entirely separate; whereas, in fact, every new mental state or

synthesis consists in the development or modification of a

pre-existing state or psychic whole. Secondly, it is quite false to

regard an association as merely an aggregate of disparate units; in

fact, the _form_ of the new idea is quite as important as the elements

which it comprises. Thirdly, the phraseology used by the

associationists seems to assume that the parts that go to form the

whole retain their identity unimpaired; in fact, each part or element

is _ipso facto_ modified by the very fact of its entering into such

combination.

The experimental methods now in vogue have to a large extent removed

the discussion of the whole subject of association of ideas, depending

in the case of the older writers on introspection, into a new sphere.

In such a work as E.B. Titchener's _Experimental Psychology_ (1905),

association is treated as a branch of the study of mental reactions,

of which association reactions are one division.

BIBLIOGRAPHY.--See PSYCHOLOGY; and the works of Bradley, Stout, and

James, above quoted, and general works on psychology: articles in

_Mind_ (passim); A. Bain, _Senses and Intellect_ (4th ed., 1894), and

in _Mind_, xii. (1887) pp. 237-249; John Watson, _An Outline of

Philosophy_ (1898); H. Hoffding, _Hist. of Mod. Philos._ (Eng. trans.,

Lond., 1900), _Psychologie in Umrissen auf Grundlage der Erfahrung_

(2nd ed., Leipzig, 1893); Jas. Sully, _The Human Mind_ (1892), and

_Outlines of Psych._ (Lond., 1892); E.B. Titchener, _Outline of

Psych._ (New York, 1896), and in his trans. of O. Kulpe's _Outlines of

Psych._ (New York, 1895,); Jas. Ward in _Mind_, viii. (1883), xii.

(1887), new series ii. (1893), iii. (1894); G.T. Ladd, _Psychology,

Descriptive and Explanatory_ (Lond., 1894); C.L.C. Morgan, _Introd. to

Comparative Psych._ (Lond., 1894); W. Wundt, _Princip. of Physiol.

Psych._ (Eng. trans., 1904), _Human and Animal Psych._ (Eng. trans.,

1894), pp. 282-307; _Outlines of Psych._ (Eng. trans., 1897); E.

Claparede, _L'Association des idees_ (1903). For associationism in

Greek philosophy see J.I. Beare, _Greek Theories of Elementary

Cognition_ (Oxford, 1906), part iii. SS 14, 43 seq.

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