Epictetus · Of the use of equivocal premisses, hypothetical arguments and the like
Discourses 1.7
Most men are unaware that the handling of arguments which involve equivocal and hypothetical premisses, and, further, of those which derive syllogisms by the process of interrogation, and, in general, the handling of all such arguments, has a bearing upon the duties of life. For our aim in every matter of inquiry is to learn how the good and excellent man may find the appropriate course through it and the appropriate way of conducting himself in it. Let them say, then, either that the good man will not enter the contest of question and answer, or that, once he has entered, he will be at no pains to avoid conducting himself carelessly and at haphazard in question and answer; or else, if they accept neither of these alternatives, they must admit that some investigation should be made of those topics with which question and answer are principally concerned.
For what is the professed object of reasoning? To state the true, to eliminate the false, to suspend judgement in doubtful cases. Is it enough, then, to learn this alone?—It is enough, says one.—Is it, then, also enough for the man who wants to make no mistake in the use of money to be told the reason why you accept genuine drachmas and reject the counterfeit?—It is not enough.—What, then, must be added to this? Why, what else but the faculty that tests the genuine drachmas and the counterfeit and distinguishes between them? Wherefore, in reasoning also the spoken word is not enough, is it? On the contrary, is it not necessary to develop the power of testing the true and the false and the uncertain and of distinguishing between them?—It is necessary.—What else besides this is proposed in reasoning? Pray accept the consequence of what you have properly granted. Come, is it enough, then, in this case also merely to know that this particular thing is true? It is not enough, but one must learn in what way a thing follows as a consequence upon certain other things, and how sometimes one thing follows upon one, and at other times upon several conjointly. Is it not, then, necessary that a man should also acquire this power, if he is to acquit himself intelligently in argument, and is himself not only to prove each point when he tries to prove it, but also to follow the argument of those who are conducting a proof, and is not to be misled by men who quibble as though they were proving something? There has consequently arisen among us, and shown itself to be necessary, a science which deals with inferential arguments and with logical figures and trains men therein.
But of course there are times when we have with sound reasoning granted the premisses, and the inference from them is so-and-so; and, in spite of its being false, it is none the less the inference. What, then, should I do? Accept the fallacy? And how is that possible? Well, should I say, "It was not sound reasoning for me to grant the premisses"? Nay, but this is not permissible either. Or, "This does not follow from what has been granted"? But that is not permissible, either. What, then, must be done in these circumstances? Is it not this, that the fact of having borrowed is not enough to prove that one is still in debt, but we must add the circumstance that one abides by the loan—that is, has not paid it—and just so our having once granted the premisses is not enough to compel us to accept the inference, but we must abide by our acceptance of the premisses? And what is more, if the premisses remain until the end what they were when they were granted, there is every necessity for us to abide by our acceptance of them, and to allow the conclusion that has been drawn from them; . . . for from our point of view and to our way of thinking this inference does not now result from the premisses, since we have withdrawn from our previous assent to the premisses. It is necessary, therefore, to enquire into premisses of this kind and into such change and equivocal modification of them, whereby, at the very moment the question is put, or the answer made, or the deduction drawn, or at some other similar stage in the argument, the premisses take on modified meanings and give occasion to the unthinking to be disconcerted, if they do not see what follows in consequence. Why is it necessary? In order that in this matter we may not behave unsuitably, nor at haphazard, nor confusedly.
And the same holds true of hypotheses and hypothetical arguments. For it is necessary at times to postulate some hypothesis as a sort of stepping-stone for the subsequent argument. Are we, therefore, to grant any and every hypothesis that is proposed, or not every one? And if not every one, what one? And when a man has granted an hypothesis, must he abide for ever by it and maintain it, or are there times when he should abandon it and accept only the consequences which follow from it without accepting those which are opposed to it?—Yes.—But someone says, "If you once admit an hypothesis that involves a possibility, I will compel you to be drawn on to an impossibility." Shall the prudent man refuse to engage with this person, and avoid enquiry and discussion with him? Yet who but the prudent is capable of using argument and skilful in question and answer, and, by Zeus, proof against deceit and sophistic fallacies? But shall he argue, indeed, and then not take pains to avoid conducting himself recklessly and at haphazard in argument? And if he does not, how will he any longer be the sort of man we think he is? But without some such exercise and preparation in formal reasoning, how will he be able to maintain the continuity of the argument? Let them show that he will be able, and all these speculations become mere superfluity; they were absurd and inconsistent with our preconception of the good man.
Why are we still indolent and easy-going and sluggish, seeking excuses whereby we may avoid toiling or even late hours, as we try to perfect our own reason?—If, then, I err in these matters, I have not murdered my own father, have I?—Slave, pray where was there in this case a father for you to murder? What, then, have you done, you ask? You have committed what was the only possible error in the matter. Indeed this is the very remark I made to Rufus when he censured me for not discovering the one omission in a certain syllogism. "Well," said I, "it isn't as bad as if I had burned down the Capitol." But he answered, "Slave, the omission here is the Capitol." Or are there no other errors than setting fire to the Capitol and murdering one's father? But to make a reckless and foolish and haphazard use of the external impressions that come to one, to fail to follow an argument, or demonstration, or sophism—in a word, to fail to see in question and answer what is consistent with one's position or inconsistent—is none of these things an error?
Epictetus, Discourses 1.7, translated by W. A. Oldfather
The handling of sophistical and hypothetical arguments, and of those which derive their conclusions from questioning, and in a word the handling of all such arguments, relates to the duties of life, though the many do not know this truth. For in every matter we inquire how the wise and good man shall discover the proper path and the proper method of dealing with the matter. Let then people either say that the grave man will not descend into the contest of question and answer, or, that if he does descend into the contest, he will take no care about not conducting himself rashly or carelessly in questioning and answering. But if they do not allow either the one or the other of these things, they must admit that some inquiry ought to be made into those topics (τόπων) on which particularly questioning and answering are employed. For what is the end proposed in reasoning? To establish true propositions, to remove the false, to withhold assent from those which are not plain. Is it enough then to have learned only this? It is enough, a man may reply. Is it then also enough for a man, who would not make a mistake in the use of coined money, to have heard this precept, that he should receive the genuine drachmae and reject the spurious? It is not enough. What then ought to be added to this precept? What else than the faculty which proves and distinguishes the genuine and the spurious drachmae? Consequently also in reasoning what has been said is not enough; but it is necessary that a man should acquire the faculty of examining and distinguishing the true and the false, and that which is not plain? It is necessary. Besides this, what is proposed in reasoning? That you should accept what follows from that which you have properly granted. Well, is it then enough in this case also to know this? It is not enough; but a man must learn how one thing is a consequence of other things, and when one thing follows from one thing, and when it follows from several collectively. Consider then if it be not necessary that this power should also be acquired by him, who purposes to conduct himself skilfully in reasoning, the power of demonstrating himself the several things which he has proposed, and the power of understanding the demonstrations of others, and of not being deceived by sophists, as if they were demonstrating. Therefore there has arisen among us the practice and exercise of conclusive arguments and figures, and it has been shown to be necessary.
But in fact in some cases we have properly granted the premises or assumptions, and there results from them something; and though it is not true, yet none the less it does result. What then ought I to do? Ought I to admit the falsehood? And how is that possible? Well, should I say that I did not properly grant that which we agreed upon? But you are not allowed to do even this. Shall I then say that the consequence does not arise through what has been conceded? But neither is this allowed. What then must be done in this case? Consider if it is not this: as to have borrowed is not enough to make a man still a debtor, but to this must be added the fact that he continues to owe the money and that the debt is not paid, so it is not enough to compel you to admit the inference that you have granted the premises (τὰ λήμματα), but you must abide by what you have granted. Indeed, if the premises continue to the end such as they were when they were granted, it is absolutely necessary for us to abide by what we have granted, and we must accept their consequences: but if the premises do not remain such as they were when they were granted, it is absolutely necessary for us also to withdraw from what we granted, and from accepting what does not follow from the words in which our concessions were made. For the inference is now not our inference, nor does it result with our assent, since we have withdrawn from the premises which we granted. We ought then both to examine such kinds of premises, and such change and variation of them (from one meaning to another), by which in the course of questioning or answering, or in making the syllogistic conclusion, or in any other such way, the premises undergo variations, and give occasion to the foolish to be confounded, if they do not see what conclusions (consequences) are. For what reason ought we to examine? In order that we may not in this matter be employed in an improper manner nor in a confused way.
And the same in hypotheses and hypothetical arguments; for it is necessary sometimes to demand the granting of some hypothesis as a kind of passage to the argument which follows. Must we then allow every hypothesis that is proposed, or not allow every one? And if not every one, which should we allow? And if a man has allowed an hypothesis, must he in every case abide by allowing it? or must he sometimes withdraw from it, but admit the consequences and not admit contradictions? Yes; but suppose that a man says, If you admit the hypothesis of a possibility, I will draw you to an impossibility. With such a person shall a man of sense refuse to enter into a contest, and avoid discussion and conversation with him? But what other man than the man of sense can use argumentation and is skilful in questioning and answering, and incapable of being cheated and deceived by false reasoning? And shall he enter into the contest, and yet not take care whether he shall engage in argument not rashly and not carelessly? And if he does not take care, how can he be such a man as we conceive him to be? But without some such exercise and preparation, can he maintain a continuous and consistent argument? Let them show this; and all these speculations (θεωρήματα) become superfluous, and are absurd and inconsistent with our notion of a good and serious man.
Why are we still indolent and negligent and sluggish, and why do we seek pretences for not labouring and not being watchful in cultivating our reason? If then I shall make a mistake in these matters may I not have killed my father? Slave, where was there a father in this matter that you could kill him? What then have you done? The only fault that was possible here is the fault which you have committed. This is the very remark which I made to Rufus when he blamed me for not having discovered the one thing omitted in a certain syllogism: I suppose, I said, that I have burnt the Capitol. Slave, he replied, was the thing omitted here the Capitol? Or are these the only crimes, to burn the Capitol and to kill your father? But for a man to use the appearances presented to him rashly and foolishly and carelessly, and not to understand argument, nor demonstration, nor sophism, nor, in a word, to see in questioning and answering what is consistent with that which we have granted or is not consistent; is there no error in this?
Epictetus, Discourses 1.7, translated by George Long
Most men ignore the fact that the treatment of variable premisses and hypothetical arguments and again of syllogisms that conclude by way of question, and, in a word, of all such arguments is concerned with conduct. For really, whatever subject we are dealing with, our aim is to find how the good man may fitly deal with it and fitly behave towards it. It follows then that either they must say that the virtuous man will not condescend to question and answer, or that if he does he will take no care to avoid behaving lightly and at random in questioning and answering; or else, if they accept neither alternative, they must admit that we have to investigate those subjects round which question and answer chiefly turn. For what do we promise in a discussion? To establish what is true, to remove what is false, to withhold assent in what is uncertain. Is it enough then merely to learn that this is so?
'It is enough.'
Is it enough then for him who wishes not to go wrong in the use of coin merely to be told why you accept genuine drachmas and reject spurious ones?
'It is not enough.'
What then must you acquire besides? Surely you must have a faculty to test and distinguish genuine drachmas from spurious. Is it not true then in regard to argument also that merely to hear what is said is not enough; a man must acquire the faculty to test and distinguish the true from the false and the uncertain?
'It must be so.'
This being so, what is required in argument?
'Accept what follows from the premisses you have duly granted.'
Here again, is it enough merely to know this? No, you must learn how a conclusion follows from the premisses, and how sometimes one proposition follows from one other, and sometimes from many together. May we say then that this faculty too must be acquired by him who is to behave with good sense in discussion, and who is himself to prove each point in his demonstration and to follow the demonstrations of others, and to avoid being led astray by sophistical arguments, posing as demonstrations? Thus it comes about that we are led to think it really necessary to discuss and to practise the arguments and moods which are conclusive.
But note this: there are cases where we have granted the premisses properly, and such and such a conclusion follows which, though it follows, is none the less false. What then is it fitting for me to do? Must I accept the false conclusion? How can I do that? Must I say I was wrong in granting the premisses?
'No, you may not do this either.'
That it does not follow from the premisses granted?
'No, you may not do this.'
What then is one to do in these circumstances? May we not say that just as in order to be in debt it is not enough merely to borrow, but one must remain a borrower and not have paid off the loan, so in order to be bound to admit an inference it is not enough to have granted the premisses, but one must abide by having granted them?
In a word, if they remain to the end as we granted them, we are absolutely bound to remain by our concessions and accept what follows the premisses; if, on the other hand, they do not remain as they were granted, we are also absolutely bound to abandon the concession and no longer to accept what is inconsistent with the premisses; for since we have abandoned our agreement as to the premisses, this inference which is drawn no longer concerns us or touches us. We must then examine into premisses of this sort and into such changes and alterations in them, by which they are changed in the actual process of question or answer or syllogism or the like, and so afford occasion to the foolish to be troubled because they do not see the sequence of the argument. Why must we so do? That in this sphere we may do what is fitting by avoiding what is random or confused in argument.
And we ought to do the same with hypotheses and hypothetical arguments. For it is necessary sometimes to assume a hypothesis as a step to the next argument. Must we then concede every given hypothesis or not? And if not every one, which? And, having conceded it, must we abide by it once for all and maintain it, or are we sometimes to abandon it, and are we to accept what follows from it and reject what conflicts with it?
'Yes.'
But a man says, 'If you accept a hypothesis of what is possible, I will reduce you in argument to what is impossible.'
Will the prudent man refuse to meet him in argument, and avoid examination and discussion with him? Nay, it is just the prudent man who is capable of reasoning logically and who is expert at questioning and answering, yes and who is proof against deception and sophistry. Will he then consent to argue, but take no pains to avoid being careless and casual in argument? If so, will he not cease to be the man we consider him to be? But without some such training and preparation as I suggest can he guard the sequence of his argument? Let them show that he can, and then all these speculations are idle; they were absurd and inconsistent with the conception we have formed of the good man.
Why do we persist in being lazy and indolent and sluggish, why do we seek excuses to enable us to avoid toiling early and late to perfect ourselves in logical theory?
'Do you call it parricide if I go wrong in logic?'
Slave, here is no father for you to kill. You ask what you have done; you have committed the one error which was possible in this field. Your answer is the very one I made myself to Rufus when he rebuked me because I could not find the one missing step in a syllogism. 'Well,' said I, 'I suppose I have not burnt the Capitol down'; and he answered, 'Slave, the missing step here is the Capitol.'
You are not going to tell me, are you, that setting fire to the Capitol and killing one's father are the only forms of wrongdoing? To deal with one's impressions without thought or method, to fail to follow argument or demonstration or sophism, in a word, to be unable to see what concerns himself and what does not in question and answer—is there no wrongdoing, I ask, in any of these?
Epictetus, Discourses 1.7, translated by P. E. Matheson