Aristotle: The Complete Works. Aristotle

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 clement 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.

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      It is a general rule in dealing with arguments that depend on language that the solution always follows the opposite of the point on which the argument turns: e.g. if the argument depends upon combination, then the solution consists in division; if upon division, then in combination. Again, if it depends on an acute accent, the solution is a grave accent; if on a grave accent, it is an acute. If it depends on ambiguity, one can solve it by using the opposite term; e.g. if you find yourself calling something inanimate, despite your previous denial that it was so, show in what sense it is alive: if, on the other hand, one has declared it to be inanimate and the sophist has proved it to be animate, say how it is inanimate. Likewise also in a case of amphiboly. If the argument depends on likeness of expression, the opposite will be the solution. ‘Could a man give what he has not got? ‘No, not what he has not got; but he could give it in a way in which he has not got it, e.g. one die by itself.’ Does a man know either by learning or by discovery each thing that he knows, singly? but not the things that he knows, collectively.’ Also a man treads, perhaps, on any thing he walks through, but not on the time he walks through. Likewise also in the case of the other examples.

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      In dealing with arguments that depend on Accident, one and the same solution meets all cases. For since it is indeterminate when an attribute should be ascribed to a thing, in cases where it belongs to the accident of the thing, and since in some cases it is generally agreed and people admit that it belongs, while in others they deny that it need belong, we should therefore, as soon as the conclusion has been drawn, say in answer to them all alike, that there is no need for such an attribute to belong. One must, however, be prepared to adduce an example of the kind of attribute meant. All arguments such as the following depend upon Accident. ‘Do you know what I am going to ask you? you know the man who is approaching’, or ‘the man in the mask’? ‘Is the statue your work of art?’ or ‘Is the dog your father?’ ‘Is the product of a small number with a small number a small number?’ For it is evident in all these cases that there is no necessity for the attribute which is true of the thing’s accident to be true of the thing as well. For only to things that are indistinguishable and one in essence is it generally agreed that all the same attributes belong; whereas in the case of a good thing, to be good is not the same as to be going to be the subject of a question; nor in the case of a man approaching, or wearing a mask, is ‘to be approaching’ the same thing as ‘to be Coriscus’, so that suppose I know Coriscus, but do not know the man who is approaching, it still isn’t the case that I both know and do not know the same man; nor, again, if this is mine and is also a work of art, is it therefore my work of art, but my property or thing or something else. (The solution is after the same manner in the other cases as well.)

      Some solve these refutations by demolishing the original proposition asked: for they say that it is possible to know and not to know the same thing, only not in the same respect: accordingly, when they don’t know the man who is coming towards them, but do know Corsicus, they assert that they do know and don’t know the same object, but not in the same respect. Yet, as we have already remarked, the correction of arguments that depend upon the same point ought to be the same, whereas this one will not stand if one adopts the same principle in regard not to knowing something, but to being, or to being is a in a certain state, e.g. suppose that X is father, and is also yours: for if in some cases this is true and it is possible to know and not to know the same thing, yet with that case the solution stated has nothing to do. Certainly there is nothing to prevent the same argument from having a number of flaws; but it is not the exposition of any and every fault that constitutes a solution: for it is possible for a man to show that a false conclusion has been proved, but not to show on what it depends, e.g. in the case of Zeno’s argument to prove that motion is impossible. So that even if any one were to try to establish that this doctrine is an impossible one, he still is mistaken, and even if he proved his case ten thousand times over, still this is no solution of Zeno’s argument: for the solution was all along an exposition of false reasoning, showing on what its falsity depends. If then he has not proved his case, or is trying to establish even a true proposition, or a false one, in a false manner, to point