result from a number of particulars is sufficiently positive for the actual purposes of thought, and distinguishable from that other general result or impression which institutes the idea of a particular horse, for instance.

2. That our general notions are any otherwise particular than as they are the same with themselves, and different from one another, is more than I know. I must demur on this question, whatever others may do. Whatever contradictions are involved in the one side of it, those on the other seem as great. For it is not easy to imagine any thing more absurd than the supposition that the idea of a line for instance is precisely, and to a hair's breadth or to the utmost possible exactness, of a certain length, when neither the precise number nor the precise proportion of the parts composing this line are at all known. It is like saying that we cast up an account to the utmost degree of nicety, when not one of the items is known, but as of an average conjecture or in round numbers. We generally estimate our notion of a particular extension by the point or matter at all terminating it, and it seems as if this did not admit of an ambiguity, or variation. But in fact all ideas are a calculation of particulars, and when the parts are only known in gross, the sum total, or resulting idea can only be so too. The smallest division of which our notions are susceptible is a general idea. In the progress of the understanding, we never begin from absolute unity but always from something that is more. How then is it possible that these general conceptions should form a whole always commensurate to a precise number of absolute unity I cannot conceive, any more than how it is possible to express a fraction in whole numbers. The two things are incompatible. As to any thing like conscious individuality, i.e. that which assigneth limits to our ideas, we know they have it not.

3. I would observe that ideas, as far as they are distinct and particular, seem to involve a greater contradiction than when they are confused and general. For, in proportion to their distinctness, must be the number of different acts of the mind excited at the same time; i.e. in proportion to the individuality of the image or idea, if I may so express myself, the thought ceases to be individual, inasmuch as the simplicity of the attention is thus necessarily broken and divided into a number of different actions, which yet are all united in the same conscious feeling, or there could be no connection between them. How then we should ever be able to conceive of things distinctly, clearly, and particularly, seems the wonder: not how different impressions acting at once on the mind should be confused, and as it were massed together, in a general feeling, for want of sufficient activity in the intellectual faculties to give form and a distinct place to all that

throng of objects which at all times solicit the attention. Let any one make the experiment of counting a flock of sheep driven fast by him, and he will soon find his imagination unable to keep pace with the rapid succession of objects, and his idea of particular number slide into the general idea of multitude; not that because there are more objects than he possibly can count, he will think there are many, or that the word flock will present to his mind a mere name, without any particulars corresponding to it. Every act of the attention, every object we see or think of, presents a proof of the same kind.

4. I conceive that the mind has not been fairly dealt with in this and other similar questions of the same sort. Matter alone seems to have the privilege of presenting difficulties, and contradictions at every turn; but the moment any thing of this kind is observed in the understanding, all the petulance of logicians is up in arms, and the mind is made the mark on which they vent all the modes and figures of their impertinence. Let us take an example from some of these selfevident matters of fact, which contain at least as many, and as great contradictions, as any in the most abstruse metaphysical doctrine, such as in extension, motion, and the curve of lines. Now as to the first of these, extension: if we suppose it to be made up of points, which are in themselves without extension, but by their combination produce it, we must suppose two unextended things, when joined together, to become extended, which is like supposing, that by adding together several nothings, we can arrive at something. On the other hand, if we suppose the ultimate parts of which extension is composed, to be themselves extended, we then attribute extension to that which is indivisible, or affirm a thing to consist of parts, and to have none, at the same time. The old argument against the possibility of motion is well known: it was said that the body moving must either be in the place where it was, or in that into which it was passing. Now, if it was in either of these, or in any one place, it must be at rest; and as it could not be in both at once, it followed that a body moving could exist no where, or that there was no such thing as motion in nature. Again, a curve line is described mathematically by a point moving, but always out of a strait line. Now, a strait line is the nearest between any two points. But that a body should move forward, and not move strait forward to the next point to which it is going, seems to imply no less an absurdity than the affirming that a thing never moves in the direction in which it is going, but always out of it; for, if it moves in the same direction, the smallest moment of time, this is not a curve, but a strait line; and if it does not continue to move in the same direction at all, it seems utterly inconceivable that it should make any progress, or move either in a curve or a strait line. Yet

any one who, on the strength of the contradiction involved in the ideas of extension, motion, or curve lines, should severally deny or disbelieve any one of them, would be thought to want common sense. I think there are certain facts of the mind which are equally evident and unaccountable. Those who contend that the one are to be admitted, and the other not, because the one are the objects of sense, and the other not, do not deserve any serious answer. It is as much a fact, that I remember having seen the sun yesterday, as that I see it to-day, and both of them are much more certain facts than that there is any such body as the sun really existing out of the mind.

I will now return to Berkeley, and endeavour to answer his chief objections to the doctrine of abstract ideas. First, then, I conceive that he has himself virtually given up the question, when he allows that the mind may be affected with the promise of a good thing, or terrified by the apprehension of danger, without thinking of any particular good or evil that is likely to befal us. What this idea of good

or evil, which is not particular, can be, other than abstract, I cannot conceive; and to say that it is not an idea, but a mere feeling excited by custom, is an answer very little to the purpose. For this feeling, this custom, is itself a general impression, and could not, without a power of abstraction in the mind, think, without a power of being acted upon by a number of different impulses of pleasure and pain, concurring to produce a general effect, abstracted from the particular feelings themselves, or the objects first exciting them. All abstract ideas are several impressions of the same kind, and are merely customary affections of the mind, not distinct images of things. But if it be said that the word idea properly signifies an image, and must be something distinct, then I answer, first, that this would only restrict the use of the word idea to particular things, and not affect the real question in dispute, and secondly, that there is no such thing as a distinct and particular image in the mind. The manner in which Berkeley explains the nature of mathematical demonstrations, according to his system, shews its utter inadequateness to any purposes of general reasoning, and is a plain confession of the necessity of abstract ideas. For all the answer he gives to the question, how can we know any proposition to be true in general, from having found it so in a particular instance, comes to this, that though the diagram we have in view includes a number of particulars, yet we know the principle to be true generally, because there is not the least mention made of these particulars in the proof of the proposition. But I would ask also, whether there is not the least thought of them in the mind? The truth is, that the mind upon Berkeley's principle must think of the particular right angled, isosceles, triangle in question, or it can have no idea at all,

for it has no general idea of a triangle to which it can apply the name generally. If we suppose that there is any such general form, or notion to which the other particular circumstances are merely superadded, and which may be left standing, though they are taken away, we then run immediately to all the absurdities of abstraction, which he so much wishes to avoid. If we then demonstrate the proposition of the particular diagram before us, as of a determinate size, shape, &c., this demonstration cannot hold good generally. If we are supposed to omit all these particular circumstances in our minds, then we either demonstrate the proposition of the general and abstract idea of a triangle, or of no idea at all; for after the particulars are omitted, or not attended to by the mind, the only idea remaining must be a general one. Farther, that on which I am willing to rest the whole controversy, is the following remark, viz., that without the general idea of a line or triangle, there could be no particular one; that is, no idea of any one line or triangle, as of the same form, or as any way related to any other, so that there could be no common measure or line to connect any of our thoughts or reasoning together into a general conclusion. For to take the former instance as the most simple. When we speak of any particular extension, it is evident that we understand something which is not particular. Besides what is peculiar to it, it must have something which is not peculiar to it, but general, to merit the common appellation. Berkeley says, An idea which in itself is particular, becomes general, by being made to represent or stand for all other particular ideas of the same sort.' I do request that the import of these last words may be attended to. Do they suggest any idea or none; if they mean any thing, it must be something more than the particular ideas which are said to be of the same sort, i.e. some general notion of them. But this will involve all the absurdities of abstraction. If there is any thing in the mind besides these particular ideas themselves—any thing that compares or contrasts them, that refers to this or that belief, this comparison or classifying can be nothing but a perception of a general nature in which these things agree, or the general resemblance which the mind perceives between the several impressions. If there is no such comparison or perception of resemblance, or idea of abstract qualities, then there can be no idea answering to the words of the same sort ;' but these particular ideas will be left standing by themselves, absolutely unconnected. As far as our ideas are merely particular, i.e. are negations of other ideas, so far they must be perfectly distinct from each other: there can be nothing between them to blend or associate them together. Each separate idea would be surrounded with a chevaux de frise of its own, in a state of irreconcilable antipathy to

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every other idea, and the fair form of nature would present nothing but a number of discordant atoms. A particular line would no more represent another line, than it would represent a point: one colour could no more resemble another colour, or suggest its idea, than it could that of a sound, or a smell; there could be no clue to make us class different shades of the same colour under one general name, any more than the most opposite: one triangle would be as distinct from another, as from a square or a cube, and so through the whole system of art and nature. There must be a mutual leaning, a greater proximity between some ideas than others: a common point to which they tend, that is a common quality: a general nature, in which they are identified: or there could not be in the mind more ideas of same or like, or different, or judgment, or reasoning, or truth, or falsehood, than in the stones in the fields, or the sands of the seashore. The idea of classing things implies only the same sort of general comparison, or abstract idea of likeness, that is necessary to the idea of any simple sensible quality of an object. In both cases, we only contemplate a number of things as alike or under the same general notion, without attending to their actual differences. Take the idea, for instance, of a slab of white marble. As long as only one such piece of marble is considered, it is supposed to be a particular object, and its whiteness is supposed to be perceived by the mind as a simple sensible quality. If, on the contrary, several such slabs of marble are presented to the mind, this is commonly considered as producing a general idea of marble and of whiteness. But this idea of whiteness, not as a quality of a particular thing, but as a common quality of different things, is rejected by the moderns as implying the supposition, that several different ideas can coalesce in the same general notion, which amounts, they say, to the contradiction that a thing may be the same, and different at the same time. Now I would affirm whatever there is absurd or inconceivable in this latter case applies equally to the former. For what possible idea can any man form of a slab of white marble, in any other way than that of abstraction? Is the idea of its whiteness as a sensible quality the idea of a point. Is it one single impression? This Berkeley and others deny, for they say there can be no idea of colour without extension, or of quality without quantity. If there are in this object several impressions of colour, I would ask are they all distinctly perceived? Are they all the same? Or if not, are all their differences perceived by the mind, before it possibly can be impressed with the general idea of a certain sensible quality, or that the object before it is white? Is the mind aware of even the slightest stain in this object, of every thing that may happen to vary it? Yet, if the