By the unfortunate ambiguity of the Copula, EXISTENCE is affirmed of them in every Predication into which they enter. The idea of EXISTENCE becomes, by this means, inseparable from them; and their true nature, as Creatures of the mind, and nothing more, is rarely, and not without difficulty, perceived.
The mode in which a train, in the order of place, is marked by the artifice of Predication, may be thus exemplified: “The house is on a hill; a lawn is in front; a stable is on the left hand; a garden is on the right; a wood is behind.” It is not necessary, after the exposition of the preceding example, to exhibit the detail of the marking performed by these Predications. The reader can trace the sensations, the order of them, and the mode of the marking, according to the specimen which has just been exhibited.
2. The trains of thought which pass in our minds, are sequences, the items of which are connected in three principal ways: 1st, as cause and effect; 2dly, as resembling; 3dly, as included under the same name. A short illustration of each of these cases will 187 complete the account of predication, as a contrivance for marking the order of ideas.
To illustrate a sequence, connected as Cause and Effect, let me suppose that I have a flint and steel in my hand, which I am about to strike, one against the other, but at that instant perceive a barrel of gunpowder open, close before me. I withhold the stroke in consequence of the train of thought which suggests to me the ultimate effect. If I have occasion to mark the train, I can only do it by a series of Predications, each of which marks a sequence in the train of causes and effects. “I strike the flint on the steel,” first sequence. “The stroke produces a spark,” second sequence. “The spark falls on gunpowder,” third sequence. “The spark ignites the gunpowder,” fourth sequence. “The gunpowder ignited makes an explosion,” fifth sequence. The ideas contained in these propositions must all have passed through my mind, and this is the only mode in which language enables me to mark them in their order.[55]
[55] It is necessary again to notice the consistent omission, throughout the author’s theory of Predication, of the element Belief. In the case supposed, the ideas contained in all the propositions might have passed through the mind, without our being led to assert the propositions. I might have thought of every step in the series of phenomena mentioned, might have pictured all of them in my imagination, and have come to the conclusion that they would not happen. I therefore should not have made, either in words or in thought, the predication, This gunpowder will explode if I strike the flint against the steel. Yet the same ideas would have passed through my mind in the same order, in which they stand in the text. The only deficient link would have been the final one, the Belief.—Ed.
188 The sequences of which the items are connected by Resemblance will not require much illustration. I see A, who suggests B to me by his stature. B suggests C by the length of his nose. C suggests D by the similarity of their profession, and so on. The series of my thoughts is sufficiently obvious. How do I proceed when I have occasion to mark it? I use a series of predications. “I see A;” this predication marks the first item, my sight of A. “A is tall,” the second. “A man of like tallness is B,” the third; and so on.
The mode in which thoughts are united in a Syllogism, is the leading example of the third case. Let us consider the following very familiar instance. “Every tree is a vegetable: every oak is a tree: therefore, every oak is a vegetable.” This is evidently a process of naming. The primary idea is that of the object called an oak; from the name oak, I proceed to the name tree, finding that the name oak, is included in the name tree; and from the name tree, I proceed to the name vegetable, finding that the name tree is included in the name vegetable, and by consequence the name oak. This is the series of thoughts, which is marked in order, by the three propositions or predications of the syllogism.[56]
[56] For the present I shall only remark on this theory of the syllogism, that it must stand or fall with the theory of Predication of which it is the sequel. If, as I have maintained, the propositions which are the premises of the syllogism are not correctly described as mere processes of naming, neither is the formula by which a third proposition is elicited from these two a process of mere naming. What it is, will be considered [hereafter].—Ed.
189 The Predications of Arithmetic are another instance of the same thing. “One and one are two.” This again is a mere process of naming. What I call one and one, in numbering things, are objects, sensations, or clusters of sensations; suppose, the striking of the clock. The same sounds which I call one and one, I call also two; I have for these sensations, therefore, two names which are exactly equivalent: so when I say, one and one and one are three: or when I say, two and two are four: ten and ten are twenty: and the same when I put together any two numbers whatsoever. The series of thoughts in these instances is merely a series of names applicable to the same thing, and meaning the same thing.
Beside the two purposes of language, of which I took notice at the beginning of this inquiry; the recording of a man’s thoughts for his own use, and the communication of them to others; there is a use, to which language is subservient, of which some account is yet to be given. There are complex sensations, and complex ideas, made up of so many items, that one is not distinguishable from another. Thus, a figure of one hundred sides, is not distinguishable from one of ninety-nine sides. A thousand men in a crowd are not distinguishable from nine hundred and ninety-nine. But in all cases, in which the complexity of the idea arises from the repetition of the same idea, names can be invented upon a plan, which shall render them distinct, up to the very highest degree of complication. Numbers are a set of names contrived upon this plan, and for this very purpose. Ten and the numbers below ten, are the repetition of so many ones: twenty, thirty, forty, &c., up to a hundred, are 190 the repetition of so many tens: two hundred, three hundred, &c., the repetition of so many hundreds; and so on. These are names, which afford an immediate reference to the ones or units, of which they are composed; and the highest numbers are as easily distinguished by the difference of a unit as the lowest. All the processes of Arithmetic are only so many contrivances to substitute a distinct name for an indistinct one. What, for example, is the purpose of addition? Suppose I have six numbers, of which I desire to take the sum, 18, 14, 9, 25, 19, 15; these names, eighteen, and fourteen, and nine, &c., form a compound name; but a name which is not distinct. By summing them up, I get another name, exactly equivalent, one hundred, which is in the highest degree distinct, and gives me an immediate reference to the units or items of which it is composed; and this is of the highest utility.