When of two names, applied to the same thing, one is of less, another of greater extent, the association is more complex; but in that is all the difference. Thus, when I believe the truth of the proposition, “Man is an animal,” the meaning of the name “man” is called up by association, and the meaning of the name “animal” is called up by association. Thus far is certain. But there is something further. I recognise, that “animal” is a name of whatever “man” is a name of, and also of more. In having the meaning of the name “man” called up by association, that is, in having the ideas, I recognise that “man” is a name of James, and John, and Homer, and Socrates, and all the individuals of the class. 390 This is pure association. In having the meaning of the name “animal” called up by association, I recognise that it is a name of James, and John, and all the individuals of the same class, as well as of all the individuals of other classes; and this is all that is meant by my Belief in the truth of the proposition. Man is the name of one cluster of ideas; animal is the name of a cluster, including both this and other clusters. The latter cluster is partly the same with, and partly different from, the former. But having two clusters, and knowing them to be two, is not two things, but one and the same thing; knowing them in the case in which I call them same, and knowing them in the case in which I call them different, is still having them, having them such as they are, and nothing besides. In this second case also, of the belief of a proposition, there is, therefore, nothing but ideas, and association.

We have [already] shewn, under the head NAMING, when explaining the purpose to which Predication is subservient, that all Predication may be strictly considered as of one kind, the application to the same thing of another name of greater extent; in other words, that Predication by what Logicians call the Difference, Property, or Accident of a thing, may be reduced to Predication by the Genus or Species; but as there is a seeming difference in these latter cases, a short illustration of them will probably be useful.

Thus, suppose I say, “Man is rational,” and that I choose to expound it, without the aid of the word animal, understood; what is there in the case? The word “man,” marks a certain cluster of ideas. “Rational” marks a portion of that cluster. In the 391 cluster marked “man,” the cluster marked “rational” is included. To recognise this, is also called believing the proposition. But to have one cluster of ideas, and know what it is; then another, and know what it is, is merely to have the two clusters. To have a second cluster, part of a first, and to know that it is a part of the first, is the same thing.

The peculiar property of that class of words to which “Rational” belongs, must here be recollected. They are the connotative class. Beside marking some thing peculiarly, they mark something else in conjunction; and this last, they are said to connote. Thus the word “rational,” beside the part of the cluster, man, which it peculiarly marks, connotes, or marks in conjunction with it, the part included under the word animal

It will be easy to apply the same explanation to all other cases. I say, the rose is red. Red is a connotative term, distinctively marking the idea of red. The idea of red is part of the cluster I mark by the word rose.

Take a more obscure expression; Fire burns. It is very obvious, that in the cluster of ideas I mark by the word fire, the idea of burning is included. To have the idea, “fire,” therefore, and the idea “burning,” called up by the names standing in predication, is to believe the proposition.

The Predications, “Virtue is lovely,” “Vice is hateful,” and the like, all admit of a similar exposition. In the cluster “virtue,” the idea of loveliness is included; in the cluster “vice,” that of hatefulness is included. Such propositions, therefore, merely say, that what is a part of a thing, is a part of it. The 392 two words call up the two ideas; and to have two ideas, one a part of another, and know that one is part of another, is not two things, but one and the same thing. To have the idea of rose, and the idea of red, and to know that red makes part of rose, is not two things, but one and the same thing.

Little more is necessary to explain this case of Belief in the truth of Propositions. Propositions are formed, either of general names, or particular names, that is, names of individuals. Propositions consisting of general names are by far the most numerous class, and by far the most important. The preceding exposition embraces them all. They are all merely verbal; and the Belief is nothing more than recognition of the coincidence, entire or partial, of two general names.

The case of Propositions formed of particular names, is different, and yet remains to be explained. “Mr. Brougham made a speech in the House of Commons on such a day.” The Predicate, “making a speech in the House of Commons,” is neither general, so as to include the subject, “Mr. Brougham,” as in a species; nor is the cluster of ideas, marked by the predicate, included in the cluster marked by the subject, as a part in its whole. The proposition marks a case either of experience, or of testimony. If I heard the speech, the proposition is an expression of the Memory of an event; Mr. Brougham, antecedent, and making a speech, consequent; and the Belief of the Proposition, is another name for the Memory of the Event. If I did not hear it, Belief of the proposition, is belief in the testimony of those who say they heard it.

393 As all propositions relating to individual objects are, after this manner, marks either of other men’s testimony, or of our own experience, what belief, in these cases, is, has already been explained.