This process of marking exclusively, and attending to, one constant portion of a complex state of consciousness, amidst a 286 great variety of variable adjuncts—is doubtless one fundamental characteristic in Abstraction and Classification. A mystery was spread around it by Plato—first through his ascribing to the Constant a separate self-existence, apart from the Variables—still more by his hyperbolical predicates respecting these self-existent transcendental Entia. Plato[q] however in other passages gives many just opinions, respecting Classification, which are no way founded on Realism, and are equally admissible by Nominalists: and portions of Aristotle may be indicated, which describe the process of abstraction as clearly as any thing in Hobbes or Berkeley.[r]
[q] The two Platonic dialogues, Sophistes and Politikus, (in which processes of Classification are worked out,) give precepts, for correct and pertinent classification, not necessarily involving the theory of Realism, but rather putting it out of sight; though in one special part of the Sophistes, the debate is made to turn upon it. The main purpose of Plato is to fix upon some fact or phenomenon, clear and appropriate, as the groundwork for distinguishing each class or sub-class—and to define thereby each class-term (i.e., to determine its connotation, in the sense of Mr. John Stuart Mill). Plato deprecates the mere following out of resemblances as a most slippery proceeding (ὀλισθηρότατον γένος—Sophist. 231 A). The commonly received classes carry with them in his opinion, no real knowledge, but only the false persuasion of knowledge: he wants to break them up and remodel them.
[r] See especially Aristot. De Memoriâ et Reminiscentiâ, c. 1, p. 449, b. 13. De Sensu et Sensili, c. 6, p. 445, b. 17. De Animâ III. 8, p. 432, a. 9.
One farther remark may be made upon these two Chapters of the Analysis. Mr. James Mill seems to take little or no thought of Classification and Abstraction, except as performed by Adjectives. But the adjective presupposes a substantive, which is alike an appellative; and which has already performed its duty in the way of abstracting and classifying. This fact seems to be overlooked in the language of some sentences in the present Chapter: for example—“Some successions are found to depend upon the clusters called objects, all taken together. Thus a tree, a man, a stone, are the 287 antecedents of certain consequents, as such: and not on account of any particular part of the cluster. Other consequents depend not upon the whole cluster, but upon some particular part: thus a tall tree produces certain effects which a tree not tall cannot produce,” &c.
I think that the phraseology of this passage is not quite clear. “The whole cluster all taken together” is not a tree as such—a man as such—a stone as such—but this particular man, tree, or stone, as it stands: John, Thomas, Caius or Titius, clothed with all his predicates, acting or suffering in some given manner. When we speak of a man as such or quatenus man—we do not include the whole cluster, but only those attributes connoted (in Mr. John Stuart Mill’s sense of the word) by the name man: we speak of him as a member of the class Man. What I wish to point out is—That Man is a class-term, just as much as tall or short: only it is the name of a larger class, while tall man is a smaller class under it. The school-logicians did not consider substantives as connotative, but only adjectives: Mr. James Mill has followed them as to this extent of the word, though he has inverted their meaning of it (see [p. 299]). Mr. John Stuart Mill, while declining to adopt the same inversion, has enlarged the meaning of the word connotative, so as to include appellative substantives as well as adjectives.—G.
[80] Rejecting the notion that classes and classification would not have existed but for the necessity of economizing names, we may say that objects are formed into classes on account of their resemblance. It is natural to think of like objects together; which is, indeed, one of the two fundamental laws of association. But the resembling objects which are spontaneously thought of together, are those which resemble each other obviously, in their superficial aspect. These are the only classes which we should form unpremeditatedly, and without the use of expedients. But there are other resemblances which are not superficially obvious; and many are not brought to light except by long experience, or observation carefully directed to the purpose; being mostly resemblances in the 288 manner in which the objects act on, or are acted on by, other things. These more recondite resemblances are often those which are of greatest importance to our interests. It is important to us that we should think of those things together, which agree in any particular that materially concerns us. For this purpose, besides the classes which form themselves in our minds spontaneously by the general law of association, we form other classes artificially, that is, we take pains to associate mentally together things which we wish to think of together, but which are not sufficiently associated by the spontaneous action of association by resemblance. The grand instrument we employ in forming these artificial associations, is general names. We give a common name to all the objects, we associate each of the objects with the name, and by their common association with the name they are knit together in close association with one another.
But in what manner does the name effect this purpose, of uniting into one complex class-idea all the objects which agree with one another in certain definite particulars? We effect this by associating the name in a peculiarly strong and close manner with those particulars. It is, of course, associated with the objects also; and the name seldom or never calls up the ideas of the class-characteristics unaccompanied by any other qualities of the objects. All our ideas are of individuals, or of numbers of individuals, and are clothed with more or fewer of the attributes which are peculiar to the individuals thought of. Still, a class-name stands in a very different relation to the definite resemblances which it is intended to mark, from that in which it stands to the various accessory circumstances which may form part of the image it calls up. There are certain attributes common to the entire class, which the class-name was either deliberately selected as a mark of, or, at all events, which guide us in the application of it. These attributes are the real meaning of the class-name—are what we intend to ascribe to an object when we call it by that name. With these the association of the name is close and strong: and the employment of the same name by different 289 persons, provided they employ it with a precise adherence to the meaning, ensures that they shall all include these attributes in the complex idea which they associate with the name. This is not the case with any of the other qualities of the individual objects, even if they happen to be common to all the objects, still less if they belong only to some of them. The class-name calls up, in every mind that hears or uses it, the idea of one or more individual objects, clothed more or less copiously with other qualities than those marked by the name; but these other qualities may, consistently with the purposes for which the class is formed and the name given, be different with different persons, and with the same person at different times. What images of individual horses the word horse shall call up, depends on such accidents as the person’s taste in horses, the particular horses he may happen to possess, the descriptions he last read, or the casual peculiarities of the horses he recently saw. In general, therefore, no very strong or permanent association, and especially no association common to all who use the language, will be formed between the word horse and any of the qualities of horses but those expressly or tacitly recognised as the foundations of the class. The complex ideas thus formed consisting of an inner nucleus of definite elements always the same, imbedded in a generally much greater number of elements indefinitely variable, are our ideas of classes; the ideas connected with general names; what are called General Notions: which are neither real objective entities, as the Realists held, nor mere names, as supposed to be maintained by the Nominalists, nor abstract ideas excluding all properties not common to the class, such as Locke’s famous Idea of a triangle that is neither equilateral nor isosceles nor scalene. We cannot represent to ourselves a triangle with no properties but those common to all triangles: but we may represent it to ourselves sometimes in one of those three forms, sometimes in another, being aware all the while that all of them are equally consistent with its being a triangle.
One important consequence of these considerations is, that 290 the meaning of a class-name is not the same thing with the complex idea associated with it. The complex idea associated with the name man, includes, in the mind of every one, innumerable simple ideas besides those which the name is intended to mark, and in the absence of which it would not be predicated. But this multitude of simple ideas which help to swell the complex idea are infinitely variable, and never exactly the same in any two persons, depending in each upon the amount of his knowledge, and the nature, variety, and recent date of his experience. They are therefore no part of the meaning of the name. They are not the association common to all, which it was intended to form, and which enables the name to be used by all in the same manner, to be understood in a common sense by all, and to serve, therefore, as a vehicle for the communication, between one and another, of the same thoughts. What does this, is the nucleus of more closely associated ideas, which is the constant element in the complex idea of the class, both in the same mind at different times, and in different minds.
It is proper to add, that the class-name is not solely a mark of the distinguishing class-attributes, it is a mark also of the objects. The name man does not merely signify the qualities of animal life, rationality, and the human form, it signifies all individual men. It even signifies these in a more direct way than it signifies the attributes, for it is predicated of the men, but not predicated of the attributes; just as the proper name of an individual man is predicated of him. We say, This is a man, just as we say, This is John Thompson: and if John Thompson is the name of one man, Man is, in the same manner, a name of all men. A class name, being thus a name of the various objects composing the class, signifies two distinct things, in two different modes of signification. It signifies the individual objects which are the class, and it signifies the common attributes which constitute the class. It is predicated only of the objects; but when predicated, it conveys the information that these objects possess those attributes. Every concrete class-name is thus a connotative name. It marks 291 both the objects and their common attributes, or rather, that portion of their common attributes in virtue of which they have been made into a class. It denotes the objects, and, in a mode of speech lately revived from the old logicians, it connotes the attributes. The author of the Analysis employs the word connote in a different manner; we shall [presently] examine which of the two is best.
We are now ready to consider whether the author’s account of the ideas connected with General Names is a true and sufficient one. It is best expressed in his own words. “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 up in close connexion, it forms them into a species of complex idea…. When the word man calls up the ideas of an indefinite number of individuals, not only of all those to whom I have individually given the name, but of all those to whom I have in imagination given it, or imagine it will ever be given, and forms all those ideas into one,—it is evidently a very complex idea, and therefore indistinct; and this indistinctness has doubtless been the main cause of the mystery which has appeared to belong to it. That this however is the process, is an inevitable result of the laws of association.”