ABSTRACT RELATIVE TERMS.
From the Concrete relative terms, Abstract terms are formed, in the same manner as Abstract terms are 73 formed from other Concrete terms. Thus from equal, we have equally; from unequal, unequally; from 74 like, likeness; from unlike, unlikeness; from friend, friendship; and so on.
75 After what has been said about abstract terms in general, it will not be very difficult to mark what is 76 peculiar in the nature of this species of them. We have seen that concrete, are connotative, terms; and 77 that their corresponding abstracts have the same meaning with the concretes, that which is connoted 78 being left out. White, for example, has a notation, and a connotation. It notes a quality, and it connotes 79 something else, that which is white. The abstract whiteness marks what is noted by the concrete, but not what is connoted.
We are now to see, in what manner this applies to relative terms. I call two things like: two sensations, for example; let us say, sensations of red. I call sensation A, like sensation B; and, of course, sensation B, like sensation A. It is here more easy to observe distinctly what is connoted, than what is noted. What is connoted are the two sensations. They are clear and simple. What is noted is what we call their likeness. What is that? We have remarked, that, in having two sensations, the distinguishing them one 80 from another is included; it is part of the compound process: And that in having two sensations—red, red, and two sensations red, green, the distinguishing the succession red, red, from the succession red, green, is included; it being part of the process, which, though in this case compound, and on that account obscure, is not the less wholly sensation. In the process of sensation, then, that part which consists in distinguishing one as one, another as another, and in distinguishing one succession from another; red, red, for example, from red, green,—is the part which is noted by the words like and unlike. The thing noted is not a distinct sensation, it is part of a process of sensation, and a part which, being never experienced separate by itself, it is very difficult to make a distinct subject of attention. Even that part of the process which consists in distinguishing, is to be distinguished into two parts. There is that part which consists in distinguishing the sensations from one another, as one, and one; and there is that part which consists in distinguishing the two, red, and red, from the two, red, and green. It is this latter part which is noted by the terms like and unlike. What is connoted is all the rest of the process. When, therefore, we make abstracts, from the terms like and unlike; that is, cut off the connotative part of their meaning, retaining the notative only; it is the part of the process which consists in distinguishing, not one and one, but two and two, which the terms distinctively mark.
We have also seen, and remarked, that having two sensations, one after another, and knowing them to be first one and then another, is a process of sensation and association. The pair of relatives, prior and 81 posterior, or antecedent and consequent, taken together, names the whole of the process; each pair is in reality a compound name of a complex idea, that of a certain process, the process of having two ideas in succession, in which process the being sensible of the successiveness is part. By all concrete relatives, something is noted, something connoted. In the process which is marked by the relatives prior and posterior, part is noted, part connoted; and the part which is noted, is the part which it is difficult to make a separate object of attention,—the part which consists in being sensible of the successiveness, for which we have not a name. By its notation and connotation, taken together, each of the terms, prior, and posterior, is a name of something, and that something is very distinct; prior is a name of the first sensation and something else; posterior is a name of the second sensation, and something else. It is by connotation, however, that each is the name of its respective sensation. Their notative power relates to the something else, and not to the whole of that; because prior and posterior, beside connoting, each its own sensation, connote one another. The notation and connotation, therefore, are divided between them, in a manner which renders it difficult to shew what belongs to each. We have not names adapted to the purpose.
The word prior notes something, and connotes something. When we make from it the abstract term priority; what was connoted by the concrete, prior, is dropped; what was noted by it is retained. In the succession of ideas A, and B, priority is not the name of A, it is the name of that part of the compound process, which consists in knowing A, as the 82 first of the two; posteriority is not the name of B, but of that part of the compound process, which consists in knowing B, as the last of the two.
There is a peculiarity, however, in the abstract terms formed from the relative concrete terms. These abstract terms are not, as whiteness, hardness, wholly void of connotation. They have a connotation of their own. The abstract of one relative of a pair, always connotes the abstract of the other; thus, priority always connotes posteriority, and posteriority priority.
This constitutes a distinction, worth observing, between the force of the abstracts formed from the pairs of relatives which consist of different names, as prior, posterior; cause, effect; father, son; husband, wife;—and those which consist of the same name, as equal, equal; like, like; brother, brother; friend, friend; and so on. Priority and Posteriority make together a compound name of something, of which, taken separately, each is not a name; Causingness and Causedness, the abstracts of cause and effect, make up between them the name of something, of which each by itself is not a name, and so of the rest. The case is different with such abstracts as likeness, equality, friendship, formed from pairs which consist of the same name. When we call A like, and B like; the abstract, likeness, formed from the one, connotes merely the abstract, likeness, formed from the other. Thus, as priority and posteriority make a compound name, so, likeness and likeness, make a compound name. But as likeness and likeness are merely a reduplication of the same word, likeness taken once very often signifies the same as likeness taken twice. Priority never signifies as much as priority and 83 posteriority taken together; but likeness taken alone very often signifies as much as likeness, likeness, taken both together. Likeness has thus a sort of a double meaning. Sometimes it signifies only what is marked by the abstract of one of the pair, “like, like;” sometimes it signifies what is marked by the abstracts of both taken together. The same observation applies to the abstracts equality, inequality; sameness, difference; brotherhood, sisterhood; friendship, hostility; and so on.[19]
[19] The exposition here given of the meaning of abstract relative names is in substance unexceptionable; but in language it remains open to the criticism I have, several times, made. Instead of saying, with the author, that the abstract name drops the connotation of the corresponding concrete, it would, in the language I prefer, be said to drop the denotation, and to be a name directly denoting what the concrete name connotes, namely, the common property or properties that it predicates: the likeness, the unlikeness, the fact of preceding, the fact of following, &c.