What is nominalism? What is a nominalist?

I do not dwell on giving a definition of one's own meaning of a word; it is arrogant. Words may be ambiguous, or their meaning changed by time, then of course we may explain; but it is at best the extreme of nominalism that there can be no definition of a thing. If so, there can be no mathematics, for though words must be used, they are part of human nature, and we are men; but be it circle, kreis, circolo, or what it may (and variety of language proves it), I am defining, if I can, a thing. And if the thing does not exist, you cannot it, as Mr. Mill's "round square." Some definitions are poor ones, as the shortest line between two points. That is a fact about a straight line. I say a line described by a point always moving to the same fixed point; a curve, one described by a point which never does, but always turns farther from it. This is by the bye.

It seems to me that the disputes, between Realists and Nominalists, arose from confounding the acquirement of knowledge by the mere human mind, and the original divine intention and purpose in creation. God created Adam an individual man no doubt, but also eth ha-Adam (the man) - that kind of being, and in His image after His likeness. A child may know man in its father, and gradually generalise, because it has only human sources of knowledge, and humanly; man is only an idea. But the faith that believes in a Creator, knows that God created a kind of being which is that according to His thought. So even with the Church - Christ loved the Church and gave Himself for it, to present it to Himself a glorious Church. Now it was not an idea with no reality, He was going to present it to Himself - it did not exist actually till it is built up of Him. Whether we call an idea in God's mind a reality - which it must be - is a question which man may decide - He calls the things that are not, as though they were. Still, they have reality for faith, according to God's mind who chose to have such a thing, though the mind may learn by abstracting, and so the universal be, as to his learning it, a name - but he would not have it to learn, were it not really an existing thing in the thought and purpose of God. God had a certain purpose about the creation - man - connecting it, redeemed, with His Son. Other creatures have not that place - I say, What is man? and there is an answer, and an answer which will be accomplished. Only there may be thought to be a difference between classes or races, and compound ideas - as a state, a church; but it is not well-founded - only, one is natural order, the other a constituted state of things. But if God had in His mind to have a church, it is a real thing, not merely a name, nor indeed is abstraction needed here - I have only to embrace God's idea of it. So of the state; if it were God's will to group people under authority or government, the thing is a real thing, and the name the name of a reality, though here abstraction may be called for, as He may allow different forms of government, each of which may group men in a state. Men's classes when they are genera (not species), may be fictitious, and merely for convenience, but that is nothing to the purpose if there are definite species.

82 In verbal or essential propositions classes are of different kinds, some natural and obvious, some from experimental observation, some more arbitrary. A man is a real thing or being. It is not merely that a class of two-legged mammals without reason is not reputed a man. I care not about the word; but here the word does not make the class, but the class the word: call it homo, or anthropos, or mensch, is all alike. Universal intelligence has distinguished that kind of being; the class existed, or the nature which constitutes it, before it got a name. I believe (and important principles are contained in that) God gave it as Adam did to the animals; but whether this were so or not, the thing was there before it got a name. It was not a horse nor an ox, nor a biped mammal with no more reason than these. A man was there to be called and have a name, and a distinguishing name, as horses, oxen, etc., were, and the difference known. In other cases the class was the result of experience, as weight, ductility, and other distinguishing qualities existed, and men made a class for convenience; but the qualities on which the class was founded were not words, but things. I am not now reasoning how or when the knowledge was acquired, whether by sensations produced or not. I accept that in general; but language is formed in the relative sphere of existence in which we are and in which we know, and the language is formed according to the system and accepts the things as real; and if men are to speak, for whom the sphere around them exists relatively, the language which expresses their thoughts must express the existence of things, which, relatively to them and their thoughts, do so exist. They may grow in this knowledge - form, where experiment has been their ground, more satisfactory classes; but, though in different ways, the difference which makes a class is not verbal but real, and the word is only the expression of it.

83 Hence saying a biped mammal without reason is not a man means merely not reputed a man, is false. He is not reputed 8 man because he is not one. Such a thing may exist, but it is not that thing to which the name has been given, and which is in fact a totally different thing from what the irrational biped is. You may call the irrational biped mammal man if you like, and the rational one fear or crut, if you like to be foolish, but the two things are as distinct as they were before. The fear is a fear, and the man is man. Mill's statement is childish trifling. Nor is it the whole of the attributes, which assumes all classes to have no existence but in words, as the nominalists, confounding different kinds of classes. If a man was born with one leg, or six fingers, he is a man still, though some of the regular physical attributes are wanting or excess. You will say this is only accidental difference. That is, you fall into the distinction of essential and accidental. Besides, attributes as a whole differ. There are black or Negro races, Turanian and Caucasian races. Supposing for a moment I say all descendants of Adam are Caucasian. But he Negro is not a Caucasian; therefore he is not a descendant of Adam. Suppose the Negro has the general physical constitution of man, the power of progress, the faculties, language, the consciousness of responsibility, conscience, reference to the idea of God, abiding relative affections of wife and children, has to say to God and men, as subject and fellows, an immortal soul, for we are only supposing, should I say he is not a man?

87 But a word more on classes. The notion that general terms or essences of classes are only the meaning of the name, that the whole of the attributes means the essence, and the taking all classes to be of the same nature, makes all the reasoning of Locke and Mill to be false. Some classes man has made for convenience of arrangement, some more from the nature of things, as a metal; but some general terms are not classes. Thus when I say "man," it is a being I know, not a class made by man from attributes or phenomena. I am conscious of a personal living existence. I know others through intercourse or through facts. They are a race, not a class. I know what a man is, for I am one, and find others of the same race, born as I am, and like me. I am not a dog, nor a horse, nor a pig, nor an ox, nor if there were Houyhnhnms who had reason would they be men. Man is a known race. Reason is essential to man. Yet if there be an idiot born of a human father and mother, he is a man, an exceptional idiotic man; whereas if there were a race physically just what men are without reason, I should not call them men; they are not of the same race.

I have spoken of classes. White is not a class really, because it does not really give an attribute which adequately distinguishes other like things from one white set (unless I speak of colours, when it does). For class means attribute or attributes, by which certain things are distinguished from other like ones, and so clubbed together. Mill accepts most of what I have said, but by denying races makes all false. I have said that many classes are the act of men, but founded on natural qualities, as metal. That is, man invents a word to combine many distinct things in community of certain characteristic qualities which distinguish them; and the word is invented to give a common name to things which have the qualities, not to express the qualities themselves, so as that, if there were only one, it could be used. It is the result of the experimental knowledge of several having them. But if we call races classes, then it is not the act of man which has formed the class in any sense.

89 I do not think that class is a good word for this. If I say a man and a pig, it is no act of man's mind which makes any class. He calls an animal of that race a pig, and knows it is not a man. But there is no mental combination to form the class, if class it is to be called. A pig is a pig by creation, and now by birth. Nay, so far from it being the whole of the attributes that make a class or verbal general name equivalent to one where the whole of the attributes are included in the idea, there is no class at all; for if all the individuals have them, they are the same, there is no distinction. A class is only, when there are some qualities common to a certain number of objects otherwise distinct, that I classify them by a word expressing their possession of them in common, as metal, including gold, iron, copper, etc.; but if each individual object had all the qualities of gold there would be no class, all would be gold. Thus man is not a class, animal is, because there may be and are man and brutes connected in particular qualities. But he is wholly wrong in taking the general name as being the expression of qualities, so as to make it indifferent if one object or many, and a class or not, as being the meaning of the name and a class word, indifferently or not.

There are class words. Animal is, metal is, founded on qualities no doubt, but qualifying objects by their common possession of them. If I have only a word embracing all the qualities of a being, it is not and cannot be a class; if only some, it may. Thus, God is a general term, he says, to the Christian or polytheist. But the Christian or Jew, when he says God, takes in in principle all His attributes. He is one, almighty, eternal, omniscient; He is, and He only, absolutely. "God" takes in, at any rate, such attributes as absolutely preclude His being a class. There is no quality in common with the polytheist's God, for he has many of them, which exclude the qualities of the one. Even if I say mermaid or ghost, as in thought I take in all that they are, it cannot be a class, for all who are such are the same wholly; mermaid is mermaid. Where all the attributes are not taken in, it may become the name of a class, though where there is a race, and not man's combination, they will be only, as woolly-haired men, accidental differences. In fanciful names it is merely a question whether the fancy has formed a class or not. There may be many dragons having certain fanciful qualities in common, others not, and so be under a common name of class. Here, of course, all is man's creation, and he may invent as he likes. His statement that every name, the signification of which is constituted by attributes, is potentially name of an indefinite number of objects, need not be of any, may be of only one, is false. Suppose unity and omnipotence or even the last, be among the attributes, there can be only one. But if constituted by attributes, and I take in all, it is not a class; it may be a race. If only of one, it is no general term at all. We do not create a class by general names.

This may seem long on such a point, but it is vital; because it makes phenomenal attributes everything, and the real classification of things - the fact that things are what they are besides mere phenomena - is wholly denied. Men may make classes for inconvenience, and give a name to represent each; but even here there is no real ground for a class but in actual things which distinguish some from others; and there are classes of being which God has made, and one wherein man stands alone, though in certain essential aspects, not connoting all that is in him, or in the name of the class, he may be classified in these aspects with others. As I may say, created intelligent beings are responsible. Angels are created intelligent beings, and so is man, or the like. To have classes true, we must have the qualities in common which they have by God's creation, or at least His providential ordering. I have nothing to do with any scholastic speculations on essences to explain essential differences.

Thus, if Negroes and Turanians were created apart, still if they had these qualities they would be phenomenally men; that is what man means. They might then be considered sub-classes, and man would be a class word, because there would be qualities in the Negro or Turanian inseparable from their being such not in the others which enter into the class. If I say pictures very white in their colouring are not pleasing - are too glaring; paintings are things formed by colours, hence one colour or another is part of their constituted existence, and so as to paintings they form species, though white or green be a single sensation. So in various earthly substances. Some have a set of qualities which make them metals; here, though natural differences, they are of sufficient importance to man by these qualities to make them a class; they melt, etc.; if they will not, they are not metals. Other things may melt, as sugar; that does not make it a metal, but what will not melt is not a metal. It may be one or many qualities which distinguish, but what makes a class is what distinguishes a certain number of objects from others similar in other respects, when the difference is such that where, if what makes it is absent, it would not be of those things to which the name is attached.

91 But when Mill says men have made classes, "a sense artificially given to the word for technical purposes," in the case of races, as man, ox, it is not so; it is merely observation of real differences. The word is expressive of the object as an object. When used as a class, it is not artificial but real, as observed. If a true class, the name is given because of real differences observed. That man gives a name to those that have is merely saying language belongs to him; but he cannot make a class without adequate distinctions belonging to beings of the same general sort, combining many of them together, part from others of the same sort. To lose this by scholastic mistakes of essences is only blinding oneself. Names for classes may be made by men; but if rightly made, the class is not made but discovered or known intuitively, which is only a way of discovering. I know a man is not an ox. Man and ox express this, they do not make the distinction. I may have then to ascertain by thought what makes the difference. They both live as animals live; have flesh, bones, blood, die as existence here (for that is all I can say phenomenally) - that is, in many very important things they have qualities in common.

What makes the difference? It is not artificially given for the purposes of science; the form is different, the race is different. In the genus animal I distinguish two classes; the name is quite immaterial Man has given that (the ox cannot) but I have to discover what is the real point, the quality or qualities without which a man is not a man normally, is not of that class in the genus animal. It is not a question of some or inexhaustible differences, but adequately distinctive qualities which combine a certain set of things contained in a larger class formed by having common properties. I have ascertained these distinctions combining many individuals of a larger division, without which they are not so combined or divided, as contrasted with a quality which leaves the differences which constitute the class where they were, so that, with or without it, the class subsists just the same, as red hair in a man. I thus possess the class. I may discover afterwards differences more or less important, which confirm the justice of the classification, or inform me as to the qualities; but if already adequate, I have my class. Thus language with man, cooking if you please, a sign it may be of the reflective use of materials as contrasted with instinct, but which is useless, as it may be merely the expression of reason, a thing by which reason may be discovered, however poor a one. It is quite immaterial what caused them to have the essential difference. I believe it was God; but for logic or man's mind it is merely phenomenal. And, save the notion of substantial essences, the Schoolmen were right, and Mill wrong. If the Schoolmen seized on what the name connoted, so as adequately to distinguish, by means of certain properties, those things which had them from those which had not, they did right. It is what makes a class, and that only, though others may be discovered.

(Sec. 3, p. 155.) I do not admit what declares the whole of the facts to be the only adequate definition, but do not enlarge on it; because the difference is often more important, as rational animal denies rationality of other animals than man. This may be inadequate too if there is more than one essential difference, but generally or often these are only propria. But what I have already noted is all important, all this is only phenomenal. The Houyhnhnms, which I supposed before, not being realities, do not really come in question, because it cannot be said that it is possible. The form of man may be a necessary proprium. At any rate, classes are derived from observed facts, and cannot go beyond them. I deny that we can make classes which will be really such; and as Mill admits they are taken from nature, he must admit it. But of this I have spoken, only I should speak more strongly of it now.

And this introduces another fallacy of Mill's, founded on his assertion of general propositions and ignorance of their nature. Of course they may be contested, but in all deductive reasoning are assumed. But as reasoning from particulars (Mill's theory) is clearly false on the face of it, and no reasoning at all - that is, no legitimate inference of any kind - so the universality of a general proposition is not all. That all men are mortal is a fact. They have been so in all known cases; but the induction goes farther, and involves, perhaps is even tacitly based on, another: Man is mortal, which affirms something of the nature of man which is other and more than the fact that all are involved in it. And this is the meaning of what is universal is necessary - that is, certainly must happen according to the nature. "Straight" is a line of a particular nature, one which never deviates in its direction; if it does, it is not straight. So a circle; it means a boundary line enclosing space whose distance from a point within is always equal. Now Mr. Mill's reasoning that it comes from observation is false upon the face of it; for he says there never was a perfect circle nor line seen, nor can there be, he declares. Hence it cannot be observation which has given me the idea of a perfect line or circle, for there is no such thing to be observed. It will be said, I correct its aberrations in my mind. Correct it by what? By the idea I have of it; that is, I have an idea to correct it by, not an idea in the sense of a mental image. I know what equal means. This I may have learned experimentally; but knowing what equal means, I know what circle means without seeing it or forming any image of it in my mind.

114 Saying, too, I cannot reason about nonentities is false; for modes of existence (as time and space) are not entities, and I can, though with perhaps more difficulty, reason about them. And here the part which language takes is forgotten. I may have learned what "equal" is by observation (not by inference and inferring nothing from it); but I exist in space, and divisible space and time, and I know what number is, and I think in this order, and equal becomes an abstraction from the things I may have learned it by. I apply it to entities; but it is not an entity at all, yet it is a perfectly intelligible word. I have no mental image before me when I say equal or unequal, though modes of existence suppose for us that things exist; but they are not existing things imaged in the mind. This materialism has rendered all Mill's reasoning false. I have an idea of straight and circle, lines or forms, with certain qualities which exclude from them all lines and forms which have them not. And if nature or art does not, as Mill says, furnish such, then I say a true circle does not exist in nature, and art cannot make one, though what it makes is meant for it, and answers practically for deductive reasoning, because it is meant for it, and supposed to be it. I do not take Euclid's axioms; because they are taken as sufficient for mathematical purposes, not meant to have the precision necessary for logical discussion. Let us bear in mind that all syllogistic reasoning is on the assumption of the truth of premises - that is, hypothetical; and if true, the conclusion is always "must be," never really "is "; never truth affirmed in itself, but a conclusion, though always a necessary one. That two lines cannot include space is demonstrable, and no real axiom, but a necessary consequence of their nature, the meaning of "straight" being assumed, of which, whether I have ever seen an exactly straight thing or not, I have a perfectly clear thought.

I have, singularly enough, anticipated in my notes nearly every question Mill has raised. Here (p. 224) he confutes himself completely. "There is no contradiction in supposing that all these persons have died, and that the Duke of Wellington may notwithstanding live for ever." Just so; that is, you cannot argue syllogistically or really from particulars to particulars, which is what he says you can. If 999 millions and 900 thousand had died, and 100 thousand not, there is no proof at all that A B will die; it may be 9999 to one he will, but there is no proof of anything. You must have a general proposition for proof. The way, as I have said, I acquire the general proposition has nothing at all to do with the proof in the syllogism which assumes and starts from the general one (liable, of course, to be contested by the adverse disputant). If I had lived in Adam's time, and no one had shewn mortality (not death merely), and I believed scripture, I should have said all men are mortal. Adam and all his children will die, for they are men (save prevention by power). If observation was my ground, I could not say any one would die. The general proposition may be rightly or wrongly accepted, but that is another question. But, as he says, there would be a contradiction if the general principle be assumed, not if only particular cases; that is, a syllogism is sound reasoning because it lays the basis in a general proposition; and Mill talks nonsense in his reasoning about it. But I repeat, with the reasoning of the syllogism the actual truth of the premises has nothing to do. It is a contradiction not to admit the conclusion, assuming the premises. That the premises may be obvious or require proof is evident, and may be partially true, as I have said as to animals. Animals cease to exist; man is an animal; therefore man ceases to exist. As existing here in time, qua animal he does; but it is only partially true, because animal and man are not equivalent terms - man is more comprehensive.