Relation

Just as that which is greater is of a nature to be greater than something else?

Yes.
Which is less, if the other is conceived to be greater?
To be sure.
And if we could find something which is at once greater than itself, and greater than other great things, but not greater than those things in comparison of which the others are greater, then that thing would have the property of being greater and also less than itself?

That, Socrates, he said, is the inevitable inference.
Or if there be a double which is double of itself and of other doubles, these will be halves; for the double is relative to the half?

That is true.
And that which is greater than itself will also be less, and that which is heavier will also be lighter, and that which is older will also be younger: and the same of other things; that which has a nature relative to self will retain also the nature of its object: I mean to say, for example, that hearing is, as we say, of sound or voice. Is that true?

Yes.
Then if hearing hears itself, it must hear a voice; for there is no other way of hearing.

All relatives, then, if properly defined, have a correlative. I add this condition because, if that to which they are related is stated as haphazard and not accurately, the two are not found to be interdependent. Let me state what I mean more clearly. Even in the case of acknowledged correlatives, and where names exist for each, there will be no interdependence if one of the two is denoted, not by that name which expresses the correlative notion, but by one of irrelevant significance. The term ‘slave,’ if defined as related, not to a master, but to a man, or a biped, or anything of that sort, is not reciprocally connected with that in relation to which it is defined, for the statement is not exact. Further, if one thing is said to be correlative with another, and the terminology used is correct, then, though all irrelevant attributes should be removed, and only that one attribute left in virtue of which it was correctly stated to be correlative with that other, the stated correlation will still exist. If the correlative of ‘the slave’ is said to be ‘the master’, then, though all irrelevant attributes of the said ‘master’, such as ‘biped’, ‘receptive of knowledge’, ‘human’, should be removed, and the attribute ‘master’ alone left, the stated correlation existing between him and the slave will remain the same, for it is of a master that a slave is said to be the slave.

We should call relative not what is said absolutely of another thing, such as, for instance, the habits of the soul and the body; nor what belongs to such a thing, nor what is in such a thing (as for instance the soul is said to be the soul of such an individual, or to be in such a subject), but what wholly derives its existence from this habit (called relation). By “hypostatic existence” I here mean not the existence which is proper to subjects, but the existence which is called relative; as, for instance, the double causes the (correlative) existence of the half; while it does not cause the existence of the two foot object, nor of two in general, nor the one foot object, nor one in general. The manner of existence of these objects consists in that this one is two, and that one one. As a result of this, when these objects exist, the first is called double, and is such in reality; and the second is half. These two objects have therefore simultaneously and spontaneously effected that the one was double, and the other half. They have been correlatively begotten. Their only existence lies in their correlation, so that the existence of the double lies in its surpassing the half, and the half derives its existence from its being surpassed by the double. Consequently these two objects are not, the one anterior, and the other posterior, but simultaneous.

BESIDES the ideas, whether simple or complex, that the mind has of things as they are in themselves, there are others it gets from their comparison one with another. The understanding, in the consideration of anything, is not confined to that precise object: it can carry any idea as it were beyond itself, or at least look beyond it, to see how it stands in conformity to any other. When the mind so considers one thing, that it does as it were bring it to, and set it by another, and carries its view from one to the other—this is, as the words import, RELATION and RESPECT; and the denominations given to positive things, intimating that respect, and serving as marks to lead the thoughts beyond the subject itself denominated, to something distinct from it, are what we call RELATIVES; and the things so brought together, RELATED. Thus, when the mind considers Caius as such a positive being, it takes nothing into that idea but what really exists in Caius; v.g. when I consider him as a man, I have nothing in my mind but the complex idea of the species, man. So likewise, when I say Caius is a white man, I have nothing but the bare consideration of a man who hath that white colour. But when I give Caius the name HUSBAND, I intimate some other person; and when I give him the name WHITER, I intimate some other thing: in both cases my thought is led to something beyond Caius, and there are two things brought into consideration.