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CHAPTER IX
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 THE WORLD OF UNIVERSALS
 
At the end of the preceding chapter we saw that such entities1 as relations appear to have a being which is in some way different from that of physical objects, and also different from that of minds and from that of sense-data. In the present chapter we have to consider what is the nature of this kind of being, and also what objects there are that have this kind of being. We will begin with the latter question.
The problem with which we are now concerned is a very old one, since it was brought into philosophy by Plato. Plato's 'theory of ideas' is an attempt to solve this very problem, and in my opinion it is one of the most successful attempts hitherto made. The theory to be advocated in what follows is largely Plato's, with merely such modifications2 as time has shown to be necessary.
The way the problem arose for Plato was more or less as follows. Let us consider, say, such a notion as justice. If we ask ourselves what justice is, it is natural to proceed by considering this, that, and the other just act, with a view to discovering what they have in common. They must all, in some sense, partake of a common nature, which will be found in whatever is just and in nothing else. This common nature, in virtue3 of which they are all just, will be justice itself, the pure essence the admixture of which with facts of ordinary life produces the multiplicity of just acts. Similarly with any other word which may be applicable to common facts, such as 'whiteness' for example. The word will be applicable to a number of particular things because they all participate in a common nature or essence. This pure essence is what Plato calls an 'idea' or 'form'. (It must not be supposed that 'ideas', in his sense, exist in minds, though they may be apprehended4 by minds.) The 'idea' justice is not identical with anything that is just: it is something other than particular things, which particular things partake of. Not being particular, it cannot itself exist in the world of sense. Moreover it is not fleeting6 or changeable like the things of sense: it is eternally itself, immutable7 and indestructible.
Thus Plato is led to a supra-sensible world, more real than the common world of sense, the unchangeable world of ideas, which alone gives to the world of sense whatever pale reflection of reality may belong to it. The truly real world, for Plato, is the world of ideas; for whatever we may attempt to say about things in the world of sense, we can only succeed in saying that they participate in such and such ideas, which, therefore, constitute all their character. Hence it is easy to pass on into a mysticism. We may hope, in a mystic illumination, to see the ideas as we see objects of sense; and we may imagine that the ideas exist in heaven. These mystical developments are very natural, but the basis of the theory is in logic8, and it is as based in logic that we have to consider it.
The word 'idea' has acquired, in the course of time, many associations which are quite misleading when applied9 to Plato's 'ideas'. We shall therefore use the word 'universal' instead of the word 'idea', to describe what Plato meant. The essence of the sort of entity10 that Plato meant is that it is opposed to the particular things that are given in sensation. We speak of whatever is given in sensation, or is of the same nature as things given in sensation, as a particular; by opposition11 to this, a universal will be anything which may be shared by many particulars, and has those characteristics which, as we saw, distinguish justice and whiteness from just acts and white things.
When we examine common words, we find that, broadly speaking, proper names stand for particulars, while other substantives12, adjectives, prepositions, and verbs stand for universals. Pronouns stand for particulars, but are ambiguous: it is only by the context or the circumstances that we know what particulars they stand for. The word 'now' stands for a particular, namely the present moment; but like pronouns, it stands for an ambiguous particular, because the present is always changing.
It will be seen that no sentence can be made up without at least one word which denotes a universal. The nearest approach would be some such statement as 'I like this'. But even here the word 'like' denotes a universal, for I may like other things, and other people may like things. Thus all truths involve universals, and all knowledge of truths involves acquaintance with universals.
Seeing that nearly all the words to be found in the dictionary stand for universals, it is strange that hardly anybody except students of philosophy ever realizes that there are such entities as universals. We do not naturally dwell upon those words in a sentence which do not stand for particulars; and if we are forced to dwell upon a word which stands for a universal, we naturally think of it as standing13 for some one of the particulars that come under the universal. When, for example, we hear the sentence, 'Charles I's head was cut off', we may naturally enough think of Charles I, of Charles I's head, and of the operation of cutting off his head, which are all particulars; but we do not naturally dwell upon what is meant by the word 'head' or the word 'cut', which is a universal: We feel such words to be incomplete and insubstantial; they seem to demand a context before anything can be done with them. Hence we succeed in avoiding all notice of universals as such, until the study of philosophy forces them upon our attention.
Even among philosophers, we may say, broadly, that only those universals which are named by adjectives or substantives have been much or often recognized, while those named by verbs and prepositions have been usually overlooked. This omission14 has had a very great effect upon philosophy; it is hardly too much to say that most metaphysics, since Spinoza, has been largely determined15 by it. The way this has occurred is, in outline, as follows: Speaking generally, adjectives and common nouns express qualities or properties of single things, whereas prepositions and verbs tend to express relations between two or more things. Thus the neglect of prepositions and verbs led to the belief that every proposition can be regarded as attributing a property to a single thing, rather than as expressing a relation between two or more things. Hence it was supposed that, ultimately, there can be no such entities as relations between things. Hence either there can be only one thing in the universe, or, if there are many things, they cannot possibly interact in any way, since any interaction would be a relation, and relations are impossible.
The first of these views, advocated by Spinoza and held in our own day by Bradley and many other philosophers, is called monism; the second, advocated by Leibniz but not very common nowadays, is called monadism, because each of the isolated16 things is called a monad. Both these opposing philosophies, interesting as they are, result, in my opinion, from an undue17 attention to one sort of universals, namely the sort represented by adjectives and substantives rather than by verbs and prepositions.
As a matter of fact, if any one were anxious to deny altogether that there are such things as universals, we should find that we cannot strictly18 prove that there are such entities as qualities, i.e. the universals represented by adjectives and substantives, whereas we can prove that there must be relations, i.e. the sort of universals generally represented by verbs and prepositions. Let us take in illustration the universal whiteness. If we believe that there is such a universal, we shall say that things are white because they have the quality of whiteness. This view, however, was strenuously19 denied by Berkeley and Hume, who have been followed in this by later empiricists. The form which their denial took was to deny that there are such things as 'abstract ideas '. When we want to think of whiteness, they said, we form an image of some particular white thing, and reason concerning this particular, taking care not to deduce anything concerning it which we cannot see to be equally true of any other white thing. As an account of our actual mental processes, this is no doubt largely true. In geometry, for example, when we wish to prove something about all triangles, we draw a particular triangle and reason about it, taking care not to use any characteristic which it does not share with other triangles. The beginner, in order to avoid error, often finds it useful to draw several triangles, as unlike each other as possible, in order to make sure that his reasoning is equally applicable to all of them. But a difficulty emerges as soon as we ask ourselves how we know that a thing is white or a triangle. If we wish to avoid the universals whiteness and triangularity20, we shall choose some particular patch of white or some particular triangle, and say that anything is white or a triangle if it has the right sort of resemblance to our chosen particular. But then the resemblance required will have to be a universal. Since there are many white things, the resemblance must hold between many pairs of particular white things; and this is the characteristic of a universal. It will be useless to say that there is a different resemblance for each pair, for then we shall have to say that these resemblances resemble each other, and thus at last we shall be forced to admit resemblance as a universal. The relation of resemblance, therefore, must be a true universal. And having been forced to admit this universal, we find that it is no longer worth while to invent difficult and unplausible theories to avoid the admission of such universals as whiteness and triangularity.
Berkeley and Hume failed to perceive this refutation of their rejection21 of 'abstract ideas', because, like their adversaries22, they only thought of qualities, and altogether ignored relations as universals. We have therefore here another respect in which the rationalists appear to have been in the right as against the empiricists, although, owing to the neglect or denial of relations, the deductions23 made by rationalists were, if anything, more apt to be mistaken than those made by empiricists.
Having now seen that there must be such entities as universals, the next point to be proved is that their being is not merely mental. By this is meant that whatever being belongs to them is independent of their being thought of or in any way apprehended by minds. We have already touched on this subject at the end of the preceding chapter, but we must now consider more fully24 what sort of being it is that belongs to universals.
Consider such a proposition as 'Edinburgh is north of London'. Here we have a relation between two places, and it seems plain that the relation subsists25 independently of our knowledge of it. When we come to know that Edinburgh is north of London, we come to know something which has to do only with Edinburgh and London: we do not cause the truth of the proposition by coming to know it, on the contrary we merely apprehend5 a fact which was there before we knew it. The part of the earth's surface where Edinburgh stands would be north of the part where London stands, even if there were no human being to know about north and south, and even if there were no minds at all in the universe. This is, of course, denied by many philosophers, either for Berkeley's reasons or for Kant's. But we have already considered these reasons, and decided27 that they are inadequate28. We may therefore now assume it to be true that nothing mental is presupposed in the fact that Edinburgh is north of London. But this fact involves the relation 'north of', which is a universal; and it would be impossible for the whole fact to involve nothing mental if the relation 'north of', which is a constituent29 part of the fact, did involve anything mental. Hence we must admit that the relation, like the terms it relates, is not dependent upon thought, but belongs to the independent world which thought apprehends30 but does not create.
This conclusion, however, is met by the difficulty that the relation 'north of' does not seem to exist in the same sense in which Edinburgh and London exist. If we ask 'Where and when does this relation exist?' the answer must be 'Nowhere and nowhen'. There is no place or time where we can find the relation 'north of'. It does not exist in Edinburgh any more than in London, for it relates the two and is neutral as between them. Nor can we say that it exists at any particular time. Now everything that can be apprehended by the senses or by introspection exists at some particular time. Hence the relation 'north of' is radically31 different from such things. It is neither in space nor in time, neither material nor mental; yet it is something.
It is largely the very peculiar32 kind of being that belongs to universals which has led many people to suppose that they are really mental. We can think of a universal, and our thinking then exists in a perfectly33 ordinary sense, like any other mental act. Suppose, for example, that we are thinking of whiteness. Then in one sense it may be said that whiteness is 'in our mind'. We have here the same ambiguity34 as we noted35 in discussing Berkeley in Chapter IV. In the strict sense, it is not whiteness that is in our mind, but the act of thinking of whiteness. The connected ambiguity in the word 'idea', which we noted at the same time, also causes confusion here. In one sense of this word, namely the sense in which it denotes the object of an act of thought, whiteness is an 'idea'. Hence, if the ambiguity is not guarded against, we may come to think that whiteness is an 'idea' in the other sense, i.e. an act of thought; and thus we come to think that whiteness is mental. But in so thinking, we rob it of its essential quality of universality. One man's act of thought is necessarily a different thing from another man's; one man's act of thought at one time is necessarily a different thing from the same man's act of thought at another time. Hence, if whiteness were the thought as opposed to its object, no two different men could think of it, and no one man could think of it twice. That which many different thoughts of whiteness have in common is their object, and this object is different from all of them. Thus universals are not thoughts, though when known they are the objects of thoughts.
We shall find it convenient only to speak of things existing when they are in time, that is to say, when we can point to some time at which they exist (not excluding the possibility of their existing at all times). Thus thoughts and feelings, minds and physical objects exist. But universals do not exist in this sense; we shall say that they subsist26 or have being, where 'being' is opposed to 'existence' as being timeless. The world of universals, therefore, may also be described as the world of being. The world of being is unchangeable, rigid36, exact, delightful37 to the mathematician38, the logician39, the builder of metaphysical systems, and all who love perfection more than life. The world of existence is fleeting, vague, without sharp boundaries, without any clear plan or arrangement, but it contains all thoughts and feelings, all the data of sense, and all physical objects, everything that can do either good or harm, everything that makes any difference to the value of life and the world. According to our temperaments40, we shall prefer the contemplation of the one or of the other. The one we do not prefer will probably seem to us a pale shadow of the one we prefer, and hardly worthy41 to be regarded as in any sense real. But the truth is that both have the same claim on our impartial42 attention, both are real, and both are important to the metaphysician. Indeed no sooner have we distinguished43 the two worlds than it becomes necessary to consider their relations.
But first of all we must examine our knowledge of universals. This consideration will occupy us in the following chapter, where we shall find that it solves the problem of a priori knowledge, from which we were first led to consider universals.

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1 entities 07214c6750d983a32e0a33da225c4efd     
实体对像; 实体,独立存在体,实际存在物( entity的名词复数 )
参考例句:
  • Our newspaper and our printing business form separate corporate entities. 我们的报纸和印刷业形成相对独立的企业实体。
  • The North American continent is made up of three great structural entities. 北美大陆是由三个构造单元组成的。
2 modifications aab0760046b3cea52940f1668245e65d     
n.缓和( modification的名词复数 );限制;更改;改变
参考例句:
  • The engine was pulled apart for modifications and then reassembled. 发动机被拆开改型,然后再组装起来。 来自《简明英汉词典》
  • The original plan had undergone fairly extensive modifications. 原计划已经作了相当大的修改。 来自《简明英汉词典》
3 virtue BpqyH     
n.德行,美德;贞操;优点;功效,效力
参考例句:
  • He was considered to be a paragon of virtue.他被认为是品德尽善尽美的典范。
  • You need to decorate your mind with virtue.你应该用德行美化心灵。
4 apprehended a58714d8af72af24c9ef953885c38a66     
逮捕,拘押( apprehend的过去式和过去分词 ); 理解
参考例句:
  • She apprehended the complicated law very quickly. 她很快理解了复杂的法律。
  • The police apprehended the criminal. 警察逮捕了罪犯。
5 apprehend zvqzq     
vt.理解,领悟,逮捕,拘捕,忧虑
参考例句:
  • I apprehend no worsening of the situation.我不担心局势会恶化。
  • Police have not apprehended her killer.警察还未抓获谋杀她的凶手。
6 fleeting k7zyS     
adj.短暂的,飞逝的
参考例句:
  • The girls caught only a fleeting glimpse of the driver.女孩们只匆匆瞥了一眼司机。
  • Knowing the life fleeting,she set herself to enjoy if as best as she could.她知道这种日子转瞬即逝,于是让自已尽情地享受。
7 immutable ma9x3     
adj.不可改变的,永恒的
参考例句:
  • Nothing in the world is immutable.世界没有一成不变的东西。
  • They free our minds from considering our world as fixed and immutable.它们改变着人们将世界看作是永恒不变的观点。
8 logic j0HxI     
n.逻辑(学);逻辑性
参考例句:
  • What sort of logic is that?这是什么逻辑?
  • I don't follow the logic of your argument.我不明白你的论点逻辑性何在。
9 applied Tz2zXA     
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。
10 entity vo8xl     
n.实体,独立存在体,实际存在物
参考例句:
  • The country is no longer one political entity.这个国家不再是一个统一的政治实体了。
  • As a separate legal entity,the corporation must pay taxes.作为一个独立的法律实体,公司必须纳税。
11 opposition eIUxU     
n.反对,敌对
参考例句:
  • The party leader is facing opposition in his own backyard.该党领袖在自己的党內遇到了反对。
  • The police tried to break down the prisoner's opposition.警察设法制住了那个囚犯的反抗。
12 substantives 7e3fb7042d60d2583d26206dc0e080ac     
n.作名词用的词或词组(substantive的复数形式)
参考例句:
13 standing 2hCzgo     
n.持续,地位;adj.永久的,不动的,直立的,不流动的
参考例句:
  • After the earthquake only a few houses were left standing.地震过后只有几幢房屋还立着。
  • They're standing out against any change in the law.他们坚决反对对法律做任何修改。
14 omission mjcyS     
n.省略,删节;遗漏或省略的事物,冗长
参考例句:
  • The omission of the girls was unfair.把女孩排除在外是不公平的。
  • The omission of this chapter from the third edition was a gross oversight.第三版漏印这一章是个大疏忽。
15 determined duszmP     
adj.坚定的;有决心的
参考例句:
  • I have determined on going to Tibet after graduation.我已决定毕业后去西藏。
  • He determined to view the rooms behind the office.他决定查看一下办公室后面的房间。
16 isolated bqmzTd     
adj.与世隔绝的
参考例句:
  • His bad behaviour was just an isolated incident. 他的不良行为只是个别事件。
  • Patients with the disease should be isolated. 这种病的患者应予以隔离。
17 undue Vf8z6V     
adj.过分的;不适当的;未到期的
参考例句:
  • Don't treat the matter with undue haste.不要过急地处理此事。
  • It would be wise not to give undue importance to his criticisms.最好不要过分看重他的批评。
18 strictly GtNwe     
adv.严厉地,严格地;严密地
参考例句:
  • His doctor is dieting him strictly.他的医生严格规定他的饮食。
  • The guests were seated strictly in order of precedence.客人严格按照地位高低就座。
19 strenuously Jhwz0k     
adv.奋发地,费力地
参考例句:
  • The company has strenuously defended its decision to reduce the workforce. 公司竭力为其裁员的决定辩护。
  • She denied the accusation with some warmth, ie strenuously, forcefully. 她有些激动,竭力否认这一指责。
20 triangularity 33d9af6198b0e222bc9bd7c3f0f747e6     
成三角形
参考例句:
21 rejection FVpxp     
n.拒绝,被拒,抛弃,被弃
参考例句:
  • He decided not to approach her for fear of rejection.他因怕遭拒绝决定不再去找她。
  • The rejection plunged her into the dark depths of despair.遭到拒绝使她陷入了绝望的深渊。
22 adversaries 5e3df56a80cf841a3387bd9fd1360a22     
n.对手,敌手( adversary的名词复数 )
参考例句:
  • That would cause potential adversaries to recoil from a challenge. 这会迫使潜在的敌人在挑战面前退缩。 来自辞典例句
  • Every adversaries are more comfortable with a predictable, coherent America. 就连敌人也会因有可以预料的,始终一致的美国而感到舒服得多。 来自辞典例句
23 deductions efdb24c54db0a56d702d92a7f902dd1f     
扣除( deduction的名词复数 ); 结论; 扣除的量; 推演
参考例句:
  • Many of the older officers trusted agents sightings more than cryptanalysts'deductions. 许多年纪比较大的军官往往相信特务的发现,而不怎么相信密码分析员的推断。
  • You know how you rush at things,jump to conclusions without proper deductions. 你知道你处理问题是多么仓促,毫无合适的演绎就仓促下结论。
24 fully Gfuzd     
adv.完全地,全部地,彻底地;充分地
参考例句:
  • The doctor asked me to breathe in,then to breathe out fully.医生让我先吸气,然后全部呼出。
  • They soon became fully integrated into the local community.他们很快就完全融入了当地人的圈子。
25 subsists 256a862ff189725c560f521eddab1f11     
v.(靠很少的钱或食物)维持生活,生存下去( subsist的第三人称单数 )
参考例句:
  • This plant subsists in water holes only during the rainy season. 这种植物只有雨季在水坑里出现。 来自辞典例句
  • The hinge is that the enterprise subsists on suiting the development of data communication. 适应数据通信的发展是通信企业生存的关键。 来自互联网
26 subsist rsYwy     
vi.生存,存在,供养
参考例句:
  • We are unable to subsist without air and water.没有空气和水我们就活不下去。
  • He could subsist on bark and grass roots in the isolated island.在荒岛上他只能靠树皮和草根维持生命。
27 decided lvqzZd     
adj.决定了的,坚决的;明显的,明确的
参考例句:
  • This gave them a decided advantage over their opponents.这使他们比对手具有明显的优势。
  • There is a decided difference between British and Chinese way of greeting.英国人和中国人打招呼的方式有很明显的区别。
28 inadequate 2kzyk     
adj.(for,to)不充足的,不适当的
参考例句:
  • The supply is inadequate to meet the demand.供不应求。
  • She was inadequate to the demands that were made on her.她还无力满足对她提出的各项要求。
29 constituent bpxzK     
n.选民;成分,组分;adj.组成的,构成的
参考例句:
  • Sugar is the main constituent of candy.食糖是糖果的主要成分。
  • Fibre is a natural constituent of a healthy diet.纤维是健康饮食的天然组成部分。
30 apprehends 4bc28e491c578f0e00bf449a09250f16     
逮捕,拘押( apprehend的第三人称单数 ); 理解
参考例句:
  • A guilty man apprehends danger in every sound. 犯了罪的人对每一个声音都感到风声鹤唳。
  • The police maintain order in the city, help prevent crime, apprehends lawbreakers and directs traffic. 警察维持城市的秩序,协助防止犯罪,逮捕犯法者及指挥交通。
31 radically ITQxu     
ad.根本地,本质地
参考例句:
  • I think we may have to rethink our policies fairly radically. 我认为我们可能要对我们的政策进行根本的反思。
  • The health service must be radically reformed. 公共医疗卫生服务必须进行彻底改革。
32 peculiar cinyo     
adj.古怪的,异常的;特殊的,特有的
参考例句:
  • He walks in a peculiar fashion.他走路的样子很奇特。
  • He looked at me with a very peculiar expression.他用一种很奇怪的表情看着我。
33 perfectly 8Mzxb     
adv.完美地,无可非议地,彻底地
参考例句:
  • The witnesses were each perfectly certain of what they said.证人们个个对自己所说的话十分肯定。
  • Everything that we're doing is all perfectly above board.我们做的每件事情都是光明正大的。
34 ambiguity 9xWzT     
n.模棱两可;意义不明确
参考例句:
  • The telegram was misunderstood because of its ambiguity.由于电文意义不明确而造成了误解。
  • Her answer was above all ambiguity.她的回答毫不含糊。
35 noted 5n4zXc     
adj.著名的,知名的
参考例句:
  • The local hotel is noted for its good table.当地的那家酒店以餐食精美而著称。
  • Jim is noted for arriving late for work.吉姆上班迟到出了名。
36 rigid jDPyf     
adj.严格的,死板的;刚硬的,僵硬的
参考例句:
  • She became as rigid as adamant.她变得如顽石般的固执。
  • The examination was so rigid that nearly all aspirants were ruled out.考试很严,几乎所有的考生都被淘汰了。
37 delightful 6xzxT     
adj.令人高兴的,使人快乐的
参考例句:
  • We had a delightful time by the seashore last Sunday.上星期天我们在海滨玩得真痛快。
  • Peter played a delightful melody on his flute.彼得用笛子吹奏了一支欢快的曲子。
38 mathematician aoPz2p     
n.数学家
参考例句:
  • The man with his back to the camera is a mathematician.背对着照相机的人是位数学家。
  • The mathematician analyzed his figures again.这位数学家再次分析研究了他的这些数字。
39 logician 1ce64af885e87536cbdf996e79fdda02     
n.逻辑学家
参考例句:
  • Mister Wu Feibai is a famous Mohist and logician in Chinese modern and contemporary history. 伍非百先生是中国近、现代著名的墨学家和逻辑学家。 来自互联网
40 temperaments 30614841bea08bef60cd8057527133e9     
性格( temperament的名词复数 ); (人或动物的)气质; 易冲动; (性情)暴躁
参考例句:
  • The two brothers have exactly opposite temperaments: one likes to be active while the other tends to be quiet and keep to himself. 他们弟兄两个脾气正好相反, 一个爱动,一个好静。
  • For some temperaments work is a remedy for all afflictions. 对于某些人来说,工作是医治悲伤的良药。
41 worthy vftwB     
adj.(of)值得的,配得上的;有价值的
参考例句:
  • I did not esteem him to be worthy of trust.我认为他不值得信赖。
  • There occurred nothing that was worthy to be mentioned.没有值得一提的事发生。
42 impartial eykyR     
adj.(in,to)公正的,无偏见的
参考例句:
  • He gave an impartial view of the state of affairs in Ireland.他对爱尔兰的事态发表了公正的看法。
  • Careers officers offer impartial advice to all pupils.就业指导员向所有学生提供公正无私的建议。
43 distinguished wu9z3v     
adj.卓越的,杰出的,著名的
参考例句:
  • Elephants are distinguished from other animals by their long noses.大象以其长长的鼻子显示出与其他动物的不同。
  • A banquet was given in honor of the distinguished guests.宴会是为了向贵宾们致敬而举行的。


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