For myself I feel no such compulsion. When things are complex I recollect the several properties as cohering together, and when I abstract one or some for special consideration, I sometimes think of the others as forming a 'substance' in which the abstracted properties inhere. But I cannot discover any inherence or coherence except the mutual, and the notion of an invisible material setting which holds all the parts of a thing together seems to me superfluous and unwarranted. If it existed it would not be, as logicians argue, something superior and antithetical to phenomena; it would be simply an inferred or latent phenomenon like the luminiferous ether of science. The material substance is evidently a groping of the mind after the noumenal (mental) substance which causes the appearance of objects.
XIV—NOMINALISM
Nominalists deny the existence of general ideas as distinct from particular ideas. Most of them affirm that we employ general or common words to signify the common properties of similar things, but that we are incapable of thinking of these common properties apart from the other properties that accompany them.
Why we should wish to use signs of things we cannot think about, or how a word can be a 'sign' when we are incapable of attaching a definite meaning to it, are points not satisfactorily cleared up by nominalists.
Considering how well Berkeley's principle, combined with the plasmic theory, accounts for generalisation, and how inevitable it is that there should be general ideas distinguishable from particular ideas by superior brilliancy and endurance, it is surprising to find in Berkeley one of the most convinced and eloquent of nominalists. His views on the subject have so much weight with philosophers that I must examine them at length.
'It is agreed on all hands,' he writes in the Introduction to his Principles, 'that the qualities or modes of things do never really exist each of them apart by itself, and separated from all others, but are mixed, as it were, and blended together, several in the same object. But, we are told, the mind being able to consider each quality singly, or abstracted from those other qualities with which it is united, does by that means frame to itself abstract ideas. For example, there is perceived by sight an object extended, coloured, and moved: this mixed or compound idea the mind resolving into its simple constituent parts, and viewing each by itself, exclusive of the rest, does frame the abstract ideas of extension, colour, and motion. Not that it is possible for colour or motion to exist without extension; but only that the mind can frame to itself by abstraction the idea of colour exclusive of extension, and of motion exclusive of both colour and extension.'
Abstract ideas do not form a fourth class of ideas but are fractions of particular, general, or imaginary ideas, and may (as Berkeley, reporting the metaphysical doctrine, says) be single or partial properties mentally detached from the collective properties forming an object. In this case they are abstracted properties, not ideas. Since general ideas are less complete than the particular ideas from which they were drawn, they are abstract ideas in so far as they are partial ideas; but all abstract ideas are not general ideas. Berkeley's nominalism is based on the supposed impossibility of forming any sort of partial idea, and he now proceeds to reproduce the metaphysical account of the general abstract idea.
'And as the mind frames to itself abstract ideas of qualities or modes, so does it, by the same precision or mental separation, attain abstract ideas [general ideas] of the more compounded beings which include several co-existent qualities. For example, the mind having observed that Peter, James, and John resemble each other in certain common agreements of shape and other qualities, leaves out of the complex or compounded idea it has of Peter, James, and any other particular man, that which is peculiar to each, retaining only what is common to all, and so makes an abstract [general] idea wherein all the particulars equally partake—abstracting entirely from and cutting off those circumstances and differences which might determine it to any particular existence. And after this manner it is said we come by the abstract [general] idea of man, or, if you please, humanity or human nature; wherein it is true there is included colour, because there is no man but has some colour, but then it can be neither white, nor black, nor any particular colour, because there is no one particular colour wherein all men partake. So likewise there is included stature, but then it is neither tall stature, nor low stature, nor yet middle stature, but something abstracted from all these. And so of the rest. Moreover, there being a great variety of other creatures that partake of some parts, but not all, of the complex idea of man, the mind, leaving out those parts which are peculiar to men, and retaining those only which are common to all the living creatures, frames the idea of animal, which abstracts not only from all particular men, but also all birds, beasts, fishes and insects. The constituent parts of the abstract idea of animal are body, life, sense, and spontaneous motion. By body is meant body without any particular shape or figure, there being no one shape or figure common to all animals, without covering either of hair, or feathers, or scales, &c., nor yet naked: hair, feathers, scales, and nakedness being the distinguishing properties of particular animals, and for that reason left out of the abstract [general] idea. Upon the same account the spontaneous motion must be neither walking, nor flying, nor creeping; it is nevertheless a motion, but what that motion is it is not easy to conceive.'
This is a fair paraphrase of the accounts given by metaphysicians of the manner of forming general ideas. It is also in itself a perfectly correct account of the process, considered simply as a manifestation of consciousness or a succession of states of consciousness, that is, apart from the substantial plasmic operation of which it is merely the symptom. Berkeley however denies that it is a true statement of what takes place in the mind of consciousness.
'Whether others have this wonderful faculty of abstracting their ideas, they best can tell; for myself, I find indeed I have a faculty of imagining or representing to myself, the ideas of those particular things I have perceived, and of variously compounding and dividing them. I can imagine a man with two heads, or the upper parts of a man joined to the body of a horse. I can consider the hand, the eye, the nose each by itself abstracted or separated from the rest of the body. But then, whatever hand or eye I imagine, it must have some particular shape or colour. Likewise the idea of man that I frame to myself must be either of a white, or a black, or a tawny, a straight, or a crooked, a tall, or a low, or a middle-sized man. I cannot by any effort of thought conceive the abstract idea above described. And it is equally impossible for me to form the abstract idea of motion distinct from the body moving, and which is neither swift nor slow, curvilinear nor rectilinear; and the like may be said of all other abstract general ideas whatsoever. To be plain, I own myself able to abstract in one sense, as when I consider some particular parts or qualities separated from others, and which, though they are united in some object, yet it is possible they may really exist without them. But I deny that I can abstract from one another, or conceive separately, those qualities which it is impossible should exist so separated; or that I can form a general notion, by abstracting from particulars in the manner aforesaid—which last are the two proper acceptations of abstraction. And there is ground to think most men will acknowledge themselves to be in my case. The generality of men which are simple and illiterate never pretend to abstract notions [general ideas]. It is said they are difficult and not to be attained without pains and study; we may therefore reasonably conclude that, if such there be, they are confined only to the learned.'