LESSON I

The Distinction and Order of Simple Enunciations in Which the

Finite or the Infinite Name Is Posited Only on the Part of the

Subject

             19b 5 Since an affirmation signifies something about something, and the subject is either the name or that which has no name, and one thing must be signified about one thing in an affirmation

             19b 7 (we have already stated what a name is and that which has no name: I do not call "non-man" a name but an infinite name--for an infinite name also signifies one thing in a certain way--nor "non-matures" a verb, but an infinite verb),

             19b 10 every affirmation will be made up of a name and a verb or an infinite name and a verb.

             19b 12 There can be no affirmation or negation without a verb; for according to what has been established, "is," or "will be," or "was," or "becomes," or any others such as these are verbs since they signify with time.

             19b 14 Therefore the primary affirmation and negation is "Man is," "Man is not"; then, "Non-man is," "Non-man is not"; and then "Every man is," "Not every man is"; "Every non-man is," "Not every non-man is"; and there are similar affirmations and negations with regard to times outside of the present.

             1. In the first book, the Philosopher has dealt with the enunciation considered simply. Now he is going to treat of the enunciation as it is diversified by the addition of something to it.

             There are three things that can be considered in the enunciation: first, the words that are predicated or subjected, which he has already distinguished into names and verbs; secondly, the composition, according to which there is truth or falsity in the affirmative or negative enunciation; finally, the opposition of one enunciation to another.

             This book is divided into three parts which are related to these three things in the enunciation. In the first, he shows what happens to the enunciation when something is added to the words posited as the subject or predicate; in the second, what happens when something is added to determine the truth or falsity of the composition. He begins this where he says, Having determined these things, we must consider in what way negations and affirmations of the possible and not possible, etc. In the third part he solves a question that arises about the oppositions of enunciations in which something is added to the simple enunciation. This he takes up where he says, There is a question as to whether the contrary of an affirmation is a negation, or whether the contrary of an affirmation is another affirmation, etc.

             With respect to additions made to the words used in the enunciation, it should be noted that an addition made to the predicate or the subject sometimes destroys the unity of the enunciation, and sometimes not, the latter being the case in which the addition is a negative making a word infinite. Consequently, he first shows what happens to the enunciation when the added negation makes a word infinite. Secondly, he shows what happens when an addition destroys the unity of the enunciation where he says, Neither the affirmation nor the negation which affirms or denies one predicate of many subjects or many predicates of one subject is one, unless something one is constituted from the many, etc.

             In relation to the first point he first investigates the simplest of enunciations, in which a finite or infinite name is posited only on the part of the subject. Then he considers the enunciation in which a finite or infinite name is posited not only on the part of the subject, but also on the part of the predicate, where he says, But when "is" is predicated as a third element in the enunciation, etc. Apropos of these simple enunciations, he proposes certain grounds for distinguishing such enunciations and then gives their distinction and order where he says, Therefore the primary affirmation and negation is "Man is," "Man is not," etc. And first he gives the grounds for distinguishing enunciations on the part of the name; secondly, he shows that there are not the same grounds for a distinction on the part of the verb, where he says, There can be no affirmation or negation without a verb, etc. First, then, he proposes the grounds for distinguishing these enunciations; secondly, he explains this where he says, we have already stated what a name is, etc.; finally, he arrives at the conclusion he intended where he says, every affirmation will be made up of a name and a verb, or an infinite name and a verb.

             2. First of all, he goes back to what was said above in defining affirmation, namely, that affirmation is an enunciation signifying something about something; and, since it is peculiar to the verb to be a sign of what is predicated of another, it follows that that about which something is said pertains to the name; but the name is either finite or infinite; therefore, as if drawing a conclusion, he says that since affirmation signifies something about something it follows that that about which something is signified, i.e., the subject of an affirmation, is either a finite name (which is properly called a name), or unnamed, i.e., an infinite name. It is called "unnamed" because it does not name something with a determinate form but removes the determination of form. And lest anyone think that what is subjected in an affirmation is at once a name and unnamed, he adds, and one thing must be signified about one thing in an affirmation, i.e., in the enunciation of which we are speaking now; and hence the subject of such an affirmation must be either the name or the infinite name.

             3. When he says, we have already stated what a name is, etc., he relates what he has previously said. We have already stated, he says, what a name is and what that which is unnamed is, i.e., the infinite name. "Non-man" is not a name but an infinite name, and "non-runs" is not a verb but an infinite verb. Then he interposes a point that is useful for the preclusion of a difficulty, i.e., that an infinite name in a certain way does signify one thing. It does not signify one thing simply as the finite name does, which signifies one form of a genus or species, or even of an individual; rather it signifies one thing insofar as it signifies the negation of a form, in which negation many things are united, as in something one according to reason. For something is said to be one in the same way it is said to be a being. Hence, just as nonbeing is said to be being, not simply, but according to something, i.e., according to reason, as is evident in IV Metaphysicae, so also a negation is one according to something, i.e., according to reason. Aristotle introduces this point so that no one will say that an affirmation in which an infinite name is the subject does not signify one thing about one subject on the grounds that an infinite name does not signify something one.

             4. When he says, every affirmation will be made up of a name and a verb or an infinite name and a verb, he concludes that the mode of affirmation is twofold. One consists of a name and a verb, the other of an infinite name and a verb. This follows from what has been said, namely, that that about which an affirmation signifies something is either a name or unnamed. The same difference can be taken on the part of negation, for of whatever something can be affirmed it can be denied, as was said in the first book.

             5. When he says, There can be no affirmation or negation without a verb, etc., he intends to show that enunciations cannot be differentiated on the part of the verb. He made the point earlier that there is no affirmation or negation without a verb. However there can be an affirmation or negation without a name, i.e., when an infinite name is posited in place of a name. An infinite verb, on the other hand, cannot be posited in an enunciation in place of a verb, and this for two reasons. First of all, the infinite verb is constituted by the addition of an infinite particle which, when added to a verb said by itself (i.e., posited outside of the enunciation), removes it absolutely, just as it removes the form of the name absolutely when added to it. Therefore, outside of the enunciation, the infinite verb, as well as the infinite name, can be taken in the mode of one word. But when a negation is added to the verb in an enunciation it removes the verb from something and thus makes the enunciation negative, which is not the case with respect to the name. For an enunciation is made negative by denying the composition which the verb introduces; hence, an infinite verb posited in the enunciation becomes a negative verb. Secondly, whichever way we use the negative particle, whether as making the verb infinite or as making a negative enunciation, the truth of the enunciation is not changed. The negative particle, therefore, is always taken in the more absolute sense, as being clearer. This, then, is why Aristotle does not diversify the affirmation as made up of a verb or infinite verb, but as made up of a name or an infinite name.

             It should also be noted that besides the difference of finite and infinite there is the difference of nominative and oblique cases. The cases of names even with a verb added do not constitute an enunciation signifying truth or falsity, as was said in the first book, for the nominative is not included in an oblique name. The verb of present time, however, is included in the cases of the verb, for the past and future, which the cases of the verb signify, are said with respect to the present. Whence, if we say, "This will be," it is the same as if we were to say, "This is future"; and "This has been" the same as "This is past." A name, then, and a case of the verb do constitute an enunciation. Therefore Aristotle adds that "is," or "will be," or "was," or any other verb of this kind that we use are of the number of the foresaid verbs without which an enunciation cannot be made, since they all signify with time and past and future time are said with respect to the present.

             6. When he says, Therefore the primary affirmation and negation is, etc., he infers from the premises the distinction of enunciations in which the finite and infinite name is posited only on the part of the subject. Among these there is a threefold difference to be noted: the first, according to affirmation and negation; the second, according to finite and infinite subject; the third, according as the subject is posited universally or not universally. Now the finite name is prior in notion to the infinite name just as affirmation is prior to negation. Accordingly, he posits "Man is" as the first affirmation and "Man is not" as the first negation. Then he posits the second affirmation, "Non-man is," and the second negation, "Non-man is not." Finally he posits the enunciations in which the subject is universally posited. These are four, as are those in which the subject is not universally posited.

             The reason he does not give examples of the enunciation with a singular subject, such as "Socrates is" and "Socrates is not," is that no sign is added to singular names, and hence not every difference can be found in them. Nor does he give examples of the enunciation in which the subject is taken particularly, for such a subject in a certain way has the same force as a universal subject not universally taken.

             He does not posit any difference on the part of the verb according to its cases because, as he himself says, affirmations and negations in regard to extrinsic times, i.e., past and future time which surround the present, are similar to these, as has already been said.