Aristotle: The Complete Works. Aristotle

the thing in question will be both greater and less than itself in the same respect.

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      As to refutations that depend on begging and assuming the original point to be proved, suppose the nature of the question to be obvious, one should not grant it, even though it be a view generally held, but should tell him the truth. Suppose, however, that it escapes one, then, thanks to the badness of arguments of that kind, one should make one’s error recoil upon the questioner, and say that he has brought no argument: for a refutation must be proved independently of the original point. Secondly, one should say that the point was granted under the impression that he intended not to use it as a premiss, but to reason against it, in the opposite way from that adopted in refutations on side issues.

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      Also, those refutations that bring one to their conclusion through the consequent you should show up in the course of the argument itself. The mode in which consequences follow is twofold. For the argument either is that as the universal follows on its particular-as (e.g.) ‘animal’ follows from ‘man’-so does the particular on its universal: for the claim is made that if A is always found with B, then B also is always found with A. Or else it proceeds by way of the opposites of the terms involved: for if A follows B, it is claimed that A’s opposite will follow B’s opposite. On this latter claim the argument of Melissus also depends: for he claims that because that which has come to be has a beginning, that which has not come to be has none, so that if the heaven has not come to be, it is also eternal. But that is not so; for the sequence is vice versa.

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      In the case of any refutations whose reasoning depends on some addition, look and see if upon its subtraction the absurdity follows none the less: and then if so, the answerer should point this out, and say that he granted the addition not because he really thought it, but for the sake of the argument, whereas the questioner has not used it for the purpose of his argument at all.

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      To meet those refutations which make several questions into one, one should draw a distinction between them straight away at the start. For a question must be single to which there is a single answer, so that one must not affirm or deny several things of one thing, nor one thing of many, but one of one. But just as in the case of ambiguous terms, an attribute belongs to a term sometimes in both its senses, and sometimes in neither, so that a simple answer does one, as it happens, no harm despite the fact that the question is not simple, so it is in these cases of double questions too. Whenever, then, the several attributes belong to the one subject, or the one to the many, the man who gives a simple answer encounters no obstacle even though he has committed this mistake: but whenever an attribute belongs to one subject but not to the other, or there is a question of a number of attributes belonging to a number of subjects and in one sense both belong to both, while in another sense, again, they do not, then there is trouble, so that one must beware of this. Thus (e.g.) in the following arguments: Supposing to be good and B evil, you will, if you give a single answer about both, be compelled to say that it is true to call these good, and that it is true to call them evil and likewise to call them neither good nor evil (for each of them has not each character), so that the same thing will be both good and evil and neither good nor evil. Also, since everything is the same as itself and different from anything else, inasmuch as the man who answers double questions simply can be made to say that several things are ‘the same’ not as other things but ‘as themselves’, and also that they are different from themselves, it follows that the same things must be both the same as and different from themselves. Moreover, if what is good becomes evil while what is evil is good, then they must both become two. So of two unequal things each being equal to itself, it will follow that they are both equal and unequal to themselves.

      Now these refutations fall into the province of other solutions as well: for ‘both’ and ‘all’ have more than one meaning, so that the resulting affirmation and denial of the same thing does not occur, except verbally: and this is not what we meant by a refutation. But it is clear that if there be not put a single question on a number of points, but the answerer has affirmed or denied one attribute only of one subject only, the absurdity will not come to pass.

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      With regard to those who draw one into repeating the same thing a number of times, it is clear that one must not grant that predications of relative terms have any meaning in abstraction by themselves, e.g. that ‘double’ is a significant term apart from the whole phrase ‘double of half’ merely on the ground that it figures in it. For ten figures in ‘ten minus one’ and in ‘not do’, and generally the affirmation in the negation; but for all that, suppose any one were to say, ‘This is not white’, he does not say that it is white. The bare word ‘double’, one may perhaps say, has not even any meaning at all, any more than has ‘the’ in ‘the half’: and even if it has a meaning, yet it has not the same meaning as in the combination. Nor is ‘knowledge’ the same thing in a specific branch of it (suppose it, e.g. to be ‘medical knowledge’) as it is in general: for in general it was the ‘knowledge of the knowable’. In the case of terms that are predicated of the terms through which they are defined, you should say the same thing, that the term defined is not the same in abstraction as it is in the whole phrase. For ‘concave’ has a general meaning which is the same in the case of a snub nose, and of a bandy leg, but when added to either substantive nothing prevents it from differentiating its meaning; in fact it bears one sense as applied to the nose, and another as applied to the leg: for in the former connexion it means ‘snub’ and in the latter ‘bandyshaped’; i.e. it makes no difference whether you say ‘a snub nose’ or ‘a concave nose’. Moreover, the expression must not be granted in the nominative case: for it is a falsehood. For snubness is not a concave nose but something (e.g. an affection) belonging to a nose: hence, there is no absurdity in supposing that the snub nose is a nose possessing the concavity that belongs to a nose.

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      With regard to solecisms, we have previously said what it is that appears to bring them about; the method of their solution will be clear in the course of the arguments themselves. Solecism is the result aimed at in all arguments of the following kind: ‘Is a thing truly that which you truly call it?’ ‘Yes’. ‘But, speaking of a stone, you call him real: therefore of a stone it follows that “him is real”.’ No: rather, talking of a stone means not saying which’ but ‘whom’, and not ‘that’ but ‘him’. If, then, any one were to ask, ‘Is a stone him whom you truly call him?’ he would be generally thought not to be speaking good Greek, any more than if he were to ask, ‘Is he what you call her?’ Speak in this way of a ‘stick’ or any neuter word, and the difference does not break out. For this reason, also, no solecism is incurred, suppose any one asks, ‘Is a thing what you say it to be?’ ‘Yes’. ‘But, speaking of a stick, you call it real: therefore, of a stick it follows that it is real.’ ‘Stone’, however, and ‘he’ have masculine designations. Now suppose some one were to ask, ‘Can “he” be a she” (a female)?’, and then again, ‘Well, but is not he Coriscus?’ and then were to say, ‘Then he is a “she”,’ he has not proved the solecism, even if the name ‘Coriscus’