Analysis of the Phenomena of the Human Mind

by James Mill

As the sensations, involved in extending the arm so far, are not the same with those which are involved in extending it farther; and as the having different sensations, and distinguishing them, are not two things, but one and the same thing;—as often as I have those two cases of sensation, I distinguish them from one another; and, distinguishing them from one another, I require names to mark them. The first I mark, by the word, short; the other, by the word, long. As I call a line long, from extending my arm so far; that is, from the sensations involved in extending it; I call it longer from extending it farther. After experience of a number of lines, there are some which I call long, long, long, one after another, to any amount; others which I call longer, longer, longer; others which I call short, short, short; and so on.

When we have perceived the sensations, on account 46 of which we call lines long, longer, short, shorter, we can be at no loss for the knowledge of those, on account of which we call them equal, and unequal. It is to be observed, that in applying the words long, longer, short, shorter, minute differences are not named. They cannot be named. The names would be too numerous. A general mark, however, may be invented, to shew when there is even a minute difference, and when there is not. When there is not, we call the two lines equal; when there is, we call them unequal.

We shall presently see, when we come to trace the ideas, which the class of words, called numbers, are employed to mark, what distinction of sensation it is which is marked by the words, one, and two. In the mean time, it is easy to see, that the case of sensation, when we trace one line, with the hand, and then another, is different from the case of sensation when we trace one line only, or even the same line twice; and this diversity needs marks to distinguish it. It is true, that in tracing one line, and then another, and marking the distinction, there is something more than sensation, there is also memory. But to this ingredient in the compound, after the explanation which has already been given of memory, it is not, at present, necessary particularly to advert.

When it is seen, what are the sensations which are marked by the terms longer and shorter, applied to a line, it will not be difficult to see what are the sensations, which are marked by the terms, part, and whole.

The terms, a part, and whole, imply division. Of course, the thing precedes the name. Men divided, before they named the act, or the consequences of the 47 act. In the act of division, or in the results of it, no mystery has ever been understood to reside. It is of importance to remark, that the word division, in its ordinary acceptation, includes, and thence confounds, things which very much need to be distinguished. It includes the will, which is the antecedent of the act; the act itself; and the results of the act. At present we may leave the will aside; it will be explained [hereafter]; and, as it is not the act, but the antecedent of the act, the consideration of it is not required, for the present purpose.

The act of dividing, like all the other acts of our body, consists in the contraction and relaxation of certain muscles. These are known to us, like every thing else, by the feelings. The act, as act, is the feelings; and only when confounded with its results, is it conceived to be any thing else. If it be said, that the contraction of the muscles of my arm, is something more in me than feelings, because I see the motion of my arm; it is to be observed, that this seeing, this sensation of sight, is not the act, but one of its results; the feelings of the act are the antecedent; this sensation of sight one of the consequents.

In the act of dividing a line, as in the act, already analysed, of tracing a line, there is a feeling of touch, and there is also a muscular feeling. There may be more or less of cohesion in the parts of the line; and thence, more or less of what we call muscular force, required to disunite them. Of course, what we call more or less of force, are only names for different states of feeling. The states of feeling which we mark by the term, force, being antecedent, all the rest 48 are consequents of this antecedent. The disunion of the parts of one line is attended with a certain muscular feeling; I call the feeling a small force. That of another line is attended with a muscular feeling somewhat different; I call it a greater force; and so on. This muscular feeling, however, has various accompaniments; which are closely associated with the idea of the act, and with its name. Thus there is the sight of the line, there is the sight of the hands in the act of disruption, and there is the sight of the line after it is divided. The term division, as we have mentioned before, includes all; the muscular feeling, the sight of the line before division, and the sight of it after. I need a pair of names for the line before division, and the line after. I call the one whole, the other parts. Like other relative terms, the one of these connotes the other; whole has no meaning, but when associated with parts; parts have no meaning, but when associated with whole. Taken together; that is, whole and parts, used as one name; they mark a complex idea, consisting of three principal parts; an undivided line, the act of division, and the consequent of that antecedent, the line after division.

In the preceding exposition, it is actual division, the actual making of parts, which has been spoken of. It is observable, however, that the same language, by which we name actual division, and actual parts, is applied to conceived division, and conceived parts. Thus we talk of the parts of a line, when it is not divided, nor meant to be divided. The exposition of this, however, is easy; and there is obscurity only when the double use of the terms confounds the two 49 cases, the division which is actual, with that which is conceived.

The division of the line may consist of one act, or of more acts than one. By the first act, it is divided into two parts; by the second into three; by the third into four, and so on. The parts of a line are so many lines. These may be equal, or unequal. But the sensations, on account of which we denominate lines equal, or unequal, have been already shewn; the equality, and inequality, therefore, of the parts of a line, need no further explanation.

When the learner conceives distinctly the sensations on account of which we apply the terms whole and parts to a line, he will not find it difficult to understand, on what account we apply them to all the modifications of extension; seeing that all these modifications are lines combined.