“But we all naturally conceive that those things have not only an eternal, but also a necessary existence, so that they could not ever but be, such and so many as they are, and can never possibly perish or cease to be, but are absolutely undestroyable.

“Which is a thing frequently acknowledged in the writings of both those famous philosophers, Plato and Aristotle. The former of them calling those things, ‘things that were never made, but always are,’ and ‘things that were never made, nor can be destroyed.’ ‘Things ingenerable and unperishable;’ Quæ Plato negat gigni sed semper esse (as Tully expresseth it) et ratione et intelligentia contineri. And Philo the Platonical Jew, calls the τὰ Νοητὰ, which are the same things we speak of, ἀναγκαιόταται οὐσίαι, the most necessary essences, that is, such things as could not but be, and cannot possibly not be. And Aristotle himself calls the rationes of things in his metaphysics, not only χωριστὰ and ἀκίνητα, things separate from matter and immutable, but also ἀΐδια, or eternal; and in his ethics likewise, he calls geometrical truths ἀΐδια, eternal things, 1. 3, c. 5; ‘where he makes the geometrical truth concerning the incommensurability betwixt the 258 diameter and the side of a square, to be an eternal thing.’ Elsewhere he tells us, that ‘Science, properly so called, is not of things corruptible and contingent,’ but of things necessary, incorruptible and eternal. Which immutable and eternal objects of science, in the place before quoted, he described thus: ‘Such a kind of entity of things has neither motion nor generation, nor corruption,’ that is, such things as were never made, and can never be destroyed. To which, he saith, the mind is necessarily determined. For science or knowledge has nothing either of fiction or of arbitrariness in it, but is ‘the comprehension of that which immutably is.’

“Moreover, these things have a constant being, when our particular created minds do not actually think of them, and therefore they are immutable in another sense likewise, not only because they are indivisibly the same when we think of them, but also because they have a constant and never-failing entity; and always are, whether our particular minds think of them or not. For the intelligible natures and essences of a triangle, square, circle, pyramid, cube, sphere, &c., and all the necessary geometrical verities belonging to these several figures, were not the creatures of Archimedes, Euclid, or Pythagoras, or any other inventors of Geometry; nor did then first begin to be; but all these rationes and verities had a real and actual entity before, and would continue still, though all the geometricians in the world were quite extinct, and no man knew them or thought of them. Nay, though all the material world were quite swept away, and also all particular created minds annihilated together with it; yet there is no doubt but the 259 intelligible natures or essences of all geometrical figures, and the necessary verities belonging to them, would notwithstanding remain safe and sound. Wherefore these things had a being also before the material world and all particular intellects were created. For it is not at all conceivable, that ever there was a time when there was no intelligible nature of a triangle, nor any such thing cogitable at all, and when it was not yet actually true that a triangle has three angles equal to two right angles, but that these things were afterward arbitrarily made and brought into being out of an antecedent nothing or non-entity; so that the being of them bore some certain date, and had a youngness in them, and so by the same reason might wax old, and decay again; which notion he often harps upon, when he speaks of the Εἴδη, or forms of things, as when he says, ‘there is no generation of the essence of a sphere,’ that is, it is a thing that is not made; but always is: and elsewhere he pronounces universally of the Εἴδη, ‘The forms of material things are without generation and corruption,’ and ‘that none makes the form of any thing, for it is never generated.’ Divers have censured Aristotle in some of such passages too much to confound physics and metaphysics together; for indeed these things are not true in a physical, but only in a metaphysical sense. That is, the immediate objects of intellection and science, are eternal, necessarily existent, and incorruptible.”[9*]

[9*] “A Treatise concerning Eternal and Immutable Morality. By Ralph Cudworth, D.D.”—pp. 241—250.

Under the influence of such notions as these, men 260 were led away from the real object of Classification; which remained, till a late period in metaphysical inquiry, not at all understood. Yet the truth appears by no means difficult to find, if we only observe the steps, by which the mind acquires its knowledge, and the exigencies which give occasion to the contrivances to which it resorts.

Man first becomes acquainted with individuals. He first names individuals. But individuals are innumerable, and he cannot have innumerable names. He must make one name serve for many individuals. It is thus obvious, and certain, that men were led to class solely for the purpose of economizing in the use of names. Could the processes of naming and discourse have been as conveniently managed by a name for every individual, the names of classes, and the idea of classification, would never have existed. But as the limits of the human memory did not enable men to retain beyond a very limited number of names; and even if it had, as it would have required a most inconvenient portion of time, to run over in discourse, as many names of individuals, and of individual qualities, as there is occasion to refer to in discourse, it was necessary to have contrivances of abridgment; that is, to employ names which marked equally a number of individuals, with all their separate properties; and enabled us to speak of multitudes at once.[78]

[78] The doctrine that “men were led to class solely for the purpose of economizing in the use of names,” is here reasserted in the most unqualified terms. The author plainly says that if our memory had been sufficiently vast to contain a name for every individual, the names of classes and the idea of classification would never have existed. Yet how (I am obliged to ask) could we have done without them? We could not have dispensed with names to mark the points in which different individuals resemble one another: and these are class-names. The fact that we require names for the purpose of making affirmations—of predicating qualities—is in some measure recognised by the author, when he says “it would have required a most inconvenient portion of time to run over in discourse as many names of individuals and of individual qualities as there is occasion to refer to in discourse.” But what is meant by an individual quality? It is not individual qualities that we ever have occasion to predicate. It is true that the qualities of an object are only the various ways in which we or other minds are affected by it, and these affections are not the same in different objects, except in the sense in which the word same stands for exact similarity. But we never have occasion to predicate of an object the individual and instantaneous impressions which it produces in us. The only meaning of predicating a quality at all, is to affirm a resemblance. When we ascribe a quality to an object, we intend to assert that the object affects us in a manner similar to that in which we are affected by a known class of objects. A quality, indeed, in the custom of language, does not admit of individuality: it is supposed to be one thing common to many; which, being explained, means that it is the name of a resemblance among our sensations, and not a name of the individual sensations which resemble. Qualities, therefore, cannot be predicated without general names; nor, consequently, without classification. Wherever there is a general name there is a class: classification, and general names, are things exactly coextensive. It thus appears that, without classification, language would not fulfil its most important function. Had we no names but those of individuals, the names might serve as marks to bring those individuals to mind, but would not enable us to make a single assertion respecting them, except that one individual is not another. Not a particle of the knowledge we have of them could be expressed in words.—Ed.

261 It was impossible that this process should not be involved in obscurity, and liable to great 262 misapprehension, so long as the manner, in which words become significant, was unexplained. After this knowledge was imparted, and pretty generally diffused, the value of it seemed for a long time to be little understood.

Words become significant purely by association. A word is pronounced in conjunction with an idea; it is pronounced again and again; and, by degrees, the idea and the word become so associated, that the one can never occur without the other. To take first the example of an individual object. The word, St. Paul’s, has been so often named in conjunction with the idea of a particular building, that the word, St. Paul’s, never occurs without calling up the idea of the building, nor the idea of the building without calling up the name, St. Paul’s. The effect of association is similarly exemplified in connecting the visible mark with the audible. Children learn first to speak. They learn next to read. In learning to speak, they associate the audible mark with their sensations and ideas; the sound tree is associated with the sight of the tree, or the idea of the tree. In learning to read, a new association has to be formed. The written word is a visible sign of the audible sign. What reading accomplishes, by degrees, is, to associate the visible sign so closely with the audible, that at the same instant with the sight of the word the sound of it, and with the sound of it the sense, occurs.

After the explanations which have been already 263 given, no difficulty can remain about the manner in which names come to signify the individuals of which they are appointed to be the marks.