When the proof both of the proposition and of the assumption is passed over, the argumentation becomes threefold only, in this way—"We must either live in fear of the Carthaginians if we leave them with their power undiminished, or we must destroy their city. And certainly it is not desirable to live in fear of them. The only remaining alternative then is to destroy their city."

XL But some people think that it is both possible and advisable at times to pass over the summing up altogether, when it is quite evident what is effected by ratiocination. And then if that be done they consider that the argumentation is limited to two divisions, in this way—"If she has had a child she is not a virgin. But she has had a child." In this case they say it is quite sufficient to state the proposition and assumption, since it is quite plain that the matter which is here stated is such as does not stand in need of summing up. But to us it seems that all ratiocination ought to be terminated in proper form and that that defect which offends them is above all things to be avoided namely, that of introducing what is self evident into the summing up.

But this will be possible to be effected if we come to a right understanding of the different kinds of summing up. For we shall either sum up in such a way as to unite together the proposition and the assumption, in this way—"But if it is right for all laws to be referred to the general advantage of the republic, and if this man ensured the safety of the republic, undoubtedly he cannot by one and the same action have consulted the general safety and yet have violated the laws,"—or thus, in order that the opinion we advocate may be established by arguments drawn from contraries, in this manner—"It is then the very greatest madness to build hopes on the good faith of those men by whose treachery you have been so repeatedly deceived,"—or so that that inference alone be drawn which is already announced, in this manner—"Let us then destroy their city,"—or so that the conclusion which is desired must necessarily follow from the assertion which has been established, in this way—"If she has had a child, she has laid with a man. But she has had a child." This then is established. "Therefore she has lain with a man." If you are unwilling to draw this inference, and prefer inferring what follows, "Therefore she has committed incest," you will have terminated your argumentation but you will have missed an evident and natural summing up.

Wherefore in long argumentations it is often desirable to draw influences from combinations of circumstances, or from contraries. And briefly to explain that point alone which is established, and in those in which the result is evident, to employ arguments drawn from consequences. But if there are any people who think that argumentation ever consists of one part alone they will be able to say that it is often sufficient to carry-on an argumentation in this way.—"Since she has had a child, she has lain with a man." For they say that this assertion requires no proof, nor assumption, nor proof of an assumption, nor summing up. But it seems to us that they are misled by the ambiguity of the name. For argumentation signifies two things under one name, because any discussion respecting anything which is either probable or necessary is called argumentation, and so also is the systematic polishing of such a discussion.

When then they bring forward any statement of this kind,—"Since she has had a child, she has lain, with a man," they bring forward a plain assertion, not a highly worked up argument, but we are speaking of the parts of a highly worked up argument.

XLI. That principle then has nothing to do with this matter. And with the help of this distinction we will remove other obstacles which seem to be in the way of this classification, if any people think that it is possible that at times the assumption may be omitted, and at other times the proposition, and if this idea has in it anything probable or necessary, it is quite inevitable that it must affect the hearer in some great degree. And if it were the only object in view, and if it made no difference in what manner that argument which had been projected was handled, it would be a great mistake to suppose that there is such a vast difference between the greatest orators and ordinary ones.

But it will be exceedingly desirable to infuse variety into our speech, for in all cases sameness is the mother of satiety. That will be able to be managed if we not always enter upon our argumentation in a similar manner. For in the first place it is desirable to distinguish our orations as to their kinds, that is to say, at one time to employ induction, and at another ratiocination. In the next place, in the argumentation itself, it is best not always to begin with the proposition, nor in every case to employ all the five divisions, nor always to work up the different parts in the same manner, but it is permissible sometimes to begin with the assumption, sometimes with one or other of the proofs, sometimes with both, sometimes to employ one kind of summing up, and sometimes another. And in order that this variety may be seen, let us either write, or in any example whatever let us exercise this same principle with respect to those things which we endeavour to prove, that our task may be as easy as possible.

And concerning the parts of the argumentation it seems to us that enough has been said. But we wish to have it understood that we hold the doctrine that argumentations are handled in philosophy in many other manners, and those too at times obscure ones, concerning which, however, there is still some definite system laid down. But still those methods appear to us to be inconsistent with the practice of an orator. But as to those things which we think belong to orators, we do not indeed undertake to say that we have attended to them more carefully than others have, but we do assert that we have written on them with more accuracy and diligence. At present let us go on in regular order to the other points, as we originally proposed.

XLII. Reprehension is that by means of which the proof adduced by the opposite party is invalidated by arguing, or is disparaged, or is reduced to nothing. And this sort of argument proceeds from the same source of invention which confirmation employs, because whatever the topics may be by means of which any statement can be confirmed, the very same may be used in order to invalidate it. For nothing is to be considered in all these inventions, except that which has been attributed to persons or to things. Wherefore it will be necessary that the invention and the high polish which ought to be given to argumentation must be transferred to this part of our oration also from those rules which have been already laid down. But in order that we may give some precepts with reference to this part also, we will explain the different methods of reprehension, and those who observe them will more easily be able to do away with or invalidate those statements which are made on the opposite side.

All argumentation is reprehended when anything, whether it be one thing only, or more than one of those positions which are assumed, is not granted, or if, though they are granted, it is denied that the conclusion legitimately follows from them, or if it is shown that the very kind of argumentation is faulty, or if in opposition to one form and reliable sort of argumentation another is employed which is equally firm and convincing. Something of those positions which have been assumed is not granted when either that thing which the opposite party says is credible is denied to be such, or when what they think admits of a comparison with the present case is shown to be unlike it, or when what has been already decided is either turned aside as referring to something else, or is impeached as having been erroneously decided, or when that which the opposite party have called a proof is denied to be such, or if the summing up is denied in some one point or in every particular, or if it is shown that the enumeration of matters stated and proved is incorrect, or if the simple conclusion is proved to contain something false. For everything which is assumed for the purpose of arguing on, whether as necessary or as only probable, must inevitably be assumed from these topics, as we have already pointed out.