first man we met in the street by the name of John or Thomas. The existence and use of general terms is alone a sufficient proof of the power of abstraction in the human mind; nor is it possible to give even a plausible account of language without it. But Mr Tooke has on all possible occasions sacrificed common sense to a false philosophy and epigrammatic logic. In opposition to this author's assertion, that we have neither complex nor abstract ideas, I think it may be proved to a demonstration that we have no others. If our ideas were absolutely simple and individual, we could have no idea of any of those objects which in this erring, half-thinking philosophy are called individual, as a table or a chair, a blade of grass, or a grain of sand. For every one of these includes a certain configuration, hardness, colour, &c. i. e. ideas of different things, and received by different senses, which must be put together by the understanding before they can be referred to any particular thing, or form one idea. Without the cementing power of the mind, all our ideas would be necessarily decomposed and crumbled down into their original elements and fluxional parts. We could indeed never carry on a chain of reasoning on any subject, for the very links of which this chain must consist, would be ground to

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powder. No two of these atomic impressions could ever club together to form even a sensible point, much less should we be able ever to arrive at any of the larger masses, or nominal descriptions of things. All nature, all objects, all parts of all objects would be equally "without form and void." The mind alone is formative, to borrow the expression of a celebrated German writer, or it is that alone which by its pervading and elastic energy unfolds and expands our ideas, that gives order and consistency to them, that assigns to every part its proper place, and that constructs the idea of the whole. Ideas are the offspring of the understanding, not of the senses. In other words, it is the understanding alone that perceives relation, but every object is made up of a bundle of relations. In short, there is no object or.idea which does not consist of a number of parts arranged in a certain manner, but of this arrangement the parts themselves cannot be conscious. A "physical consideration of the senses and the mind" can never therefore account for our ideas, even of sensible objects Mr Locke's own principles do indeed exclude all power of understanding from the human mind. The manner in which Hobbes and Berkeley have explained the nature of mathematical demonstration upon this system shows

its utter inadequacy to any of the purposes of general reasoning, and is a plain confession of the necessity of abstract ideas. Mr Hume considers the principle that abstraction is not an operation of the mind, but of language, as one of the most capital discoveries of modern philosophy, and attributes it to Bishop Berkeley. Berkeley has however only adopted the arguments and indeed almost the very words of Hobbes. The latter author in the passage which has been already quoted says, "By this imposition of names, some of larger, some of stricter signification, we turn the reckoning of the consequences of things imagined in the mind into a reckoning of the consequences of appellations. For example, a man that hath no use of speech at all, such as is born and remains perfectly deaf and dumb, if he set before his eyes a triangle, and by it two right angles, (such as are the corners of a square figure) he may by meditation compare and find that the three angles of that triangle are equal to those two right angles that stand by it. But if another triangle be shewn him different in shape from the former, he cannot know without a new labour, whether the three angles of that also be equal to the same. But he that hath the use of words, when he ob

serves that such equality was consequent not to the length of the sides, nor to any other particular thing in his triangle, but only to this, that the sides were straight and the angles three, and that that was all for which he named it a triangle, will boldly conclude universally, that such equality of angles is in all triangles whatsoever; and register his invention in these general terms: Every triangle hath its three angles equal to two right ones. And thus the consequence found in one particular, comes to be registered and remembered as an universal rule; and discharges our mental reckoning of time and place, and delivers us from all labour of the mind saving the first, and makes that which was found true here and now to be true in all times and places."— Leviathan, p. 14.

Bishop Berkeley gives the same view of the nature of abstract reasoning in the introduction to his 'Principles of Human Knowledge.' "But here," he says, "it will be demanded how we can know any proposition to be true of all particular triangles, except we have first seen it demonstrated of the abstract idea of a triangle, which agrees equally to all. To which I answer, that though the idea I have in view, whilst I make the demonstration be, for instance, that

of an isoscelis rectangular triangle, whose sides are of a determinate length, I may nevertheless be certain it extends to all other rectilinear triangles of what sort or bigness soever. And that because neither the right angle nor the equality nor the determinate length of the sides are at all concerned in the demonstration. "Tis true, the diagram I have in view includes all these particulars, but then there's not the least mention made of them in the proof of the proposition. It is not said the three angles are equal to two right ones, because one of them is a right angle, or because the sides comprehending it are of the same length; which sufficiently shows that the right angle might have been oblique and the sides unequal, and for all that the demonstration have held good. And for this reason it is that I conclude that to be true of any oblique angular or scalenon, which I had demonstrated of a particular right angled equicrural triangle, and not because I demonstrated the proposition of the abstract idea of a triangle."-Page 34.

This answer does not appear to me satisfactory. It amounts to this, that though the diagram we have in view includes a number of particular circumstances, not applicable to other cases, yet we know the principle to be true gene