Book I chapter 31

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 negation¹; 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 substantive² nothing prevents it from differentiating³ its meaning; in fact it bears one sense as applied⁴ 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 absurdity⁵ in supposing that the snub nose is a nose possessing the concavity that belongs to a nose.

1 negation   

n.否定；否认

参考例句：

• No reasonable negation can be offered.没有合理的反对意见可以提出。
• The author boxed the compass of negation in his article.该作者在文章中依次探讨了各种反面的意见。

2 substantive   

adj.表示实在的；本质的、实质性的；独立的；n.实词，实名词；独立存在的实体

参考例句：

• They plan to meet again in Rome very soon to begin substantive negotiations.他们计划不久在罗马再次会晤以开始实质性的谈判。
• A president needs substantive advice,but he also requires emotional succor. 一个总统需要实质性的建议，但也需要感情上的支持。

3 differentiating   

[计] 微分的

参考例句：

• They succeed in differentiating the most commodity-like products. 在最通用的日用产品方面，它们也能独树一帜标新立异。
• The simplest and most effective method of differentiating areas is to use different colours. 区别面状要素最简单而又行之有效的办法，是使用不同的颜色。

4 applied   

adj.应用的；v.应用，适用

参考例句：

• She plans to take a course in applied linguistics.她打算学习应用语言学课程。
• This cream is best applied to the face at night.这种乳霜最好晚上擦脸用。

5 absurdity   

n.荒谬，愚蠢；谬论

参考例句：

• The proposal borders upon the absurdity.这提议近乎荒谬。
• The absurdity of the situation made everyone laugh.情况的荒谬可笑使每个人都笑了。