the ideas of likeness, equality, &c. for if there is no other connection between our ideas than what arises from positive association, it seems to follow that all objects seen, or if you please thought of together must be equally like, and that the likeness is completely done away by separating the objects or supposing them to be separated. As these ideas are some of the clearest and most important we have, it may be reasonably demanded that any attempt to account for them by resolving them into other ideas with which they have not at first sight the least connection should be perfectly clear and satisfactory. Let us

see how far this has been done. It has been contended then that the only idea of equality which the mind can possibly have is the recollection of the sensible impression made by the meeting of the contiguous points, or ends of two strait lines for example*. Here two questions will arise. The

* See Essays by T. Cooper of Manchester. This very curious analysis was also delivered with great

first is whether the idea of equality is merely a particular way of considering contiguity, Secondly, whether association, that is the succession or juxtaposition of our ideas can ever of itself produce the idea of this relation between them. My first object will be to inquire whether the perception of the equality of two lines is the same with the perception of the contiguity of their extremities, whether the one idea necessarily includes every thing that is contained in the other..

I see two points touch one another, or

gravity by Mr. Mac-Intosh to the metaphysical students of Lincoln's-Inn. I confess I like ingenuity, however misapplied, if it is but a man's own: but the dull, affected, pompous repetition of nonsense is not to be endured with patience. In retailing what is not our own, the only merit must be in the choice, or judgment. A man, however, without originality may yet have common sense and common honesty. To be a hawker of worn-out paradoxes, and a pander to sophistry denotes indeed a desperate ambition.

that there is no sensible interval between them. What possible connection is there between this idea, and that of their being the boundaries of two lines of equal length? It is only by drawing out those points to a certain distance that I get the idea of any lines at all; they must be drawn out to the same distance before they can be equal; and I can have no idea of their being equal without dividing that equal distance into two distinct parts or lines, both of which I must consider at the same time as contained with the same limits. If the ideas merely succeeded one another, or even coexisted as distinct images, they would still be perfectly unconnected with each other, each being absolutely contained within itself, and there being no common act of attention to both to unite

them together. Now the question is whether this perception of the equality of these two lines is not properly an idea of comparison, (in the sense in which

every one uses and feels these words) which idea cannot possibly be expressed or defined by any other relation between our ideas, or whether it is only a round-about way of getting at the old idea of the coincidence of their points or ends, which certainly is not an idea of comparison, or of the relation between equal quantities simply because there are no quantities to be compared. The one relates to the agreement of the things themselves one with another, the other to their local situation. There is no proving any farther that these ideas are different, but by appealing to every man's own breast. If any one should choose to assert that two and two make six, or that the sun is the moon, I can only answer by saying that these ideas as they exist in my mind are totally different. In like manner I am conscious of certain operations in my own mind in comparing two equal lines together essentially different from the perception of the contiguity of their extremities, and I therefore conclude

that the ideas of equality and contiguity are not the same.

The second question is whether the idea of contiguity itself is an idea of mere association, that is whether it is nothing more than the recollection of a compound sensation. If by sensation is to be understood the direct impression of the parts of any outward object on corresponding parts of an extended living substance, by which means the general mass is converted from a dead into a living thing, and that this is the only difference that takes place, then I deny that this combination of living atoms, this diffusion of animal sensibility, however exquisite or thrilling to the slightest touch, will ever give the idea of relation of any kind whether of contiguity, coexistence, or any thing else either immediately at the time or by recollection afterwards. It has been said that to feel is to think, "sentir est penser." I believe that this is true of the human mind, because the human mind is a thinking principle, it is