Aristotle (384-322 BC)

Sophistical Refutations

Translated by W. A. Pickard-Cambridge

Chapter 22

It is clear also how one must meet those fallacies that depend on the identical expressions of things that are not identical, seeing that we are in possession of the kinds of predications. For the one man, say, has granted, when asked, that a term denoting a substance does not belong as an attribute, while the other has shown that some attribute belongs which is in the category of relation or of quantity, but is usually thought to denote a substance because of its expression; e.g. in the following argument: ‘Is it possible to be doing and to have done the same thing at the same time?’ ‘No.’ ‘But, you see, it is surely possible to be seeing and to have seen the same thing at the same time, and in the same aspect.’ Again, ‘Is any mode of passivity a mode of activity?’ ‘No.’ ‘Then “he is cut,” “he is burnt,” “he is struck by some sensible object” are alike in expression and all denote some form of passivity, while again “to say,” “to run,” “to see” are like one another in expression: but, you see, “to see” is surely a form of being struck by a sensible object; therefore it is at the same time a form of passivity and of activity.’ Suppose, however, that in that case any one, after granting that it is not possible to do and to have done the same thing in the same time, were to say that it is possible to see and to have seen it, still he has not yet been refuted, suppose him to say that ‘to see’ is not a form of ‘doing’ (activity) but of ‘passivity’: for this question is required as well, though he is supposed by the listener to have already granted it, when he granted that ‘to cut’ is a form of present, and ‘to have cut’ a form of past, activity, and so on with the other things that have a like expression. For the listener adds the rest by himself, thinking the meaning to be alike: whereas really the meaning is not alike, though it appears to be so because of the expression. The same thing happens here as happens in cases of ambiguity: for in dealing with ambiguous expressions the tyro in argument supposes the sophist to have negated the fact which he (the tyro) affirmed, and not merely the name: whereas there still wants the question whether in using the ambiguous term he had a single meaning in view: for if he grants that that was so, the refutation will be effected.

Like the above are also the following arguments. It is asked if a man has lost what he once had and afterwards has not: for a man will no longer have ten dice even though he has only lost one die. No: rather it is that he has lost what he had before and has not now; but there is no necessity for him to have lost as much or as many things as he has not now. So then, he asks the questions as to what he has, and draws the conclusion as to the whole number that he has: for ten is a number. If then he had asked to begin with, whether a man no longer having the number of things he once had has lost the whole number, no one would have granted it, but would have said ‘Either the whole number or one of them.’ Also there is the argument that ‘a man may give what he has not got’: for he has not got only one die. No: rather it is that he has given not what he had not got, but in a manner in which he had not got it, viz. just the one. For the word ‘only’ does not signify a particular substance or quality or number, but a manner of relation, e.g. that it is not coupled with any other. It is therefore just as if he had asked ‘Could a man give what he has not got?’ and, on being given the answer ‘No,’ were to ask if a man could give a thing quickly when he had not got it quickly, and, on this being granted, were to conclude that a man could give what he had not got. It is quite evident that he has not proved his point: for to give quickly is not to give a thing, but to give in a certain manner; and a man could certainly give a thing in a manner in which he has not got it, e.g. he might have got it with pleasure and give it with pain.

Like these are also all arguments of the following kind: ‘Could a man strike a blow with a hand which he has not got, or see with an eye which he has not got?’ For he has not got only one eye. Some people solve this case, where a man has more than one eye, or more than one of anything else, by saying also that he has only one. Others also solve it as they solve the refutation of the view that what a man has, he has received: for A gave only one vote; and certainly B, they say, has only one vote from A. Others, again, proceed by demolishing straight away the proposition asked, and admitting that it is quite possible to have what one has not received; e.g. to have received sweet wine, but then, owing to its going bad in the course of receipt, to have it sour. But, as was said also above, all these persons direct their solutions against the man, not against his argument. For if this were a genuine solution, then, suppose any one to grant the opposite, he could find no solution, just as happens in other cases; e.g. suppose the true solution to be ‘So-and-so is partly true and partly not,’ then, if the answerer grants the expression without any qualification, the sophist’s conclusion follows. If, on the other hand, the conclusion does not follow, then that could not be the true solution: and what we say in regard to the foregoing examples is that, even if all the sophist’s premisses be granted, still no proof is effected.

Moreover, the following too belong to this group of arguments. ‘If something be in writing did some one write it?’ ‘Yes.’ ‘But it is now in writing that you are seated—a false statement, though it was true at the time when it was written: therefore the statement that was written is at the same time false and true.’ But this is fallacious, for the falsity or truth of a statement or opinion indicates not a substance but a quality: for the same account applies to the case of an opinion as well. Again, ‘Is what a learner learns what he learns?’ ‘Yes.’ ‘But suppose some one learns “slow” quick.’ Then his (the sophist’s) words denote not what the learner learns but how he learns it. Also, ‘Does a man tread upon what he walks through? ‘Yes.’ ‘But X walks through a whole day.’ No, rather the words denote not what he walks through, but when he walks; just as when any one uses the words ‘to drink the cup’ he denotes not what he drinks, but the vessel out of which he drinks. Also, ‘Is it either by learning or by discovery that a man knows what he knows?’ ‘Yes.’ ‘But suppose that of a pair of things he has discovered one and learned the other, the pair is not known to him by either method.’ No: what’ he knows means every single thing he knows, individually; but this does not mean all the things he knows, collectively. Again, there is the proof that there is a third man distinct from man and from individual men. But that is a fallacy, for man, and indeed every general predicate, denotes not an individual substance, but a particular quality, or the being related to something in a particular manner, or something of that sort. Likewise also in the case of ‘Coriscus’ and ‘Coriscus the musician’ there is the problem, ‘Are they the same or different?’ For the one denotes an individual substance and the other a quality, so that it cannot be isolated; though it is not the isolation which creates the third man, but the admission that it is an individual substance. For man cannot be an individual substance, as Callias is. Nor is the case improved one whit even if one were to call the element he has isolated not an individual substance but a quality: for there will still be the one beside the many, just as man was. It is evident then that one must not grant that what is a common predicate applying to a class universally is an individual substance, but must say that denotes either a quality, or a relation, or a quantity, or something of that kind.

Chapter 21

Chapter 23