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Like the moon, Satan may look beautiful, but upon a closer scrutiny that beauty begins to yield certain metaphysical flaws.
像月亮那样，撒旦看起来非常美好，但是近看,就会发现这份美丽开始显露出一些抽象的瑕疵。
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But some paintings that are more minimalistic, they kind of blend into the wall,
但有些画更简约抽象，它们有点儿与墙壁合二为一了，
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I'm going to define a class, and in particular, what I'm going to do, is walk through what that says.
我们碰到了一个问题，这个问题就是，我们想要建立，一个抽象数据类型。
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It uses a language and a style that's very far from the language and style of later philosophy and abstract theology.
它运用的那种语言和风格,与后来的哲学及抽象神学的风格,大不相同。
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Why this struggle, and why must Milton struggle with such awkward metaphysical categories in order simply to address properly the power of light?
为什么弥尔顿必须,与这样一个奇怪的抽象的东西斗争,仅仅是为了恰当的描述光明的力量？
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And I think that's very important especially with electromagnetism, which is so numb toward if, so abstract and so much math flowing around.
我觉得这是非常重要的,尤其是对于电磁学来说，它是一门很难懂的，很抽象的学科,包含很多数学在里面。
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The abstract is not life and everywhere draws out its contradictions. You can refute Hegel but not the Saint or the Song of Experience.
抽象的不是人生，处处都,显露出矛盾，你可以反驳黑格尔,但不能反驳圣人或经验之歌。
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The sort of thing that perhaps we might call or think of as abstract objects or abstract properties.
这类事物,我们可能需要称作或认为是抽象的现实,或抽象的性质
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We used iterative deletion in a relatively abstract setting, or not abstract, rather a play setting last time in which were choosing numbers.
我们在相对抽象的背景下探讨迭代剔除,其实也没那么抽象,比如上一讲,我们做的选数字的游戏
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And I also didn't want to leave you thinking this was all about abstract ideology.
我也不想让你们以为,这些都是抽象的意识形态
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And then finally, at around age twelve, you could get abstract and scientific reasoning.
最后,大约在十二岁的时候,儿童的抽象推理和科学推理能力得以完善
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And then they're very abstract concepts which are defending the glory of human mind.
它们是很抽象的概念,是用来维护人类大脑的荣光。
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This is a meditation on both the joy and the loss of literary substitution for the real or for the truth, the substitution of abstract pattern for something like comprehensible meaning.
对为了现实或是真理,和有着某些可理解含义的抽象模式，的文学替代的思考,在这里她有些被这宝石般的线索吸引住了。
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And the fourth thing to notice is, I've used abstraction. I've said nothing about how I'm going to make square root.
第四件事情就是，我运用了抽象,我对怎么去求平方根没有提及。
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It's beautifully structured, it's very abstract.
结构清晰，非常抽象。
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I want to abstract that. And the abstraction you see, right here. I'm going to highlight it for a second so you can see it. I want you to look at it on the handout as well.
我需要进行抽象,这个抽象就在这儿,我把它强调给你们看看,我希望你也能看看讲义里的这部分内容。
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Well, I've got part of what I want for abstraction Abstraction, again, says I'm going to suppress details.
那抽象又是什么呢？,我在这里准备了一点想要抽象东西,抽象，再说一次。
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OK. So to do this, we need a little more abstract way of talking about efficiency, and so, the question is, how do we think about efficiency? Typically there's two things we want to measure.
好，为了达到这个目的,我们需要用一种有点，抽象的方式去讨论效率，这衍生出来,一个问题，我们该怎么去认识效率？,主要来说我们有两个要量化的东西。
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And over the next couple of days, you'll see what we mean by this in detail.
就是抽象数据类型，你可以在网上看到这两个术语。
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I want to just use it, I shouldn't have to worry about what variables I use inside of it, I have shouldn't have to worry about where that is in the code, I should be able to just abstract it away. And that's what we want to add today, are those two things.
我只是想使用它,我不用考虑我在这段代码中,使用的是什么变量,我完全不用考虑代码的内容,只要抽象就好,我们今天想补充的内容就是这两点。
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And this is something to contrast with the early Yeats and its high idealism, and its drive to exist in an abstract and ideal world.
这可与早期他诗歌的理想主义,致力表现，抽象理想世界作对比。
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So the number two, the numbers, three, whatever it is, whatever they are, are these Platonic abstract entities that don't exist in space and time.
因而,数字2,数字3,不管它们是什么,至少它们都是不存在于时空中的,柏拉图式的抽象实体
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They are mere personifications of abstract ideas, and it's not at all clear that Sin and her son, Death, exist as individual entities in the same way, or on the same plane, that Satan does, for example, or Beelzebub.
他们仅仅是将抽象的思想拟人化的结果，但我们不清楚的是罪恶之神和她的儿子死神，以同样的方式或在同一个星球作为独立的个体存在，例如撒旦或者苍蝇王比尔泽布也是这样。
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They talk a lot, as Sarah said, they talk a lot about abstract questions, and this puts the meaning of the story in that abstract register. Is it a love story, or is it a religious story, a mystifying story?
他们谈论了很多，如萨拉所说，他们谈论了很多,很抽象的问题，这使得这个故事,变得抽象了，这是个爱情故事吗，有的或者是个宗教故事，还是个神秘故事呢？
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I'm thinking of the general problem of the abstraction of virtue, an abstract notion of virtue. Think of all the questions that all of us at some point or other tend to associate with virtue.
我在思考贞操这个抽象概念，贞操这一抽象的概念，想想所有那些,我们时不时的会由贞操想到的问题。
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Eliot was there, in that essay on the metaphysical poets that I'm quoting from, defending as necessary what is the primary characteristic, not only of his own poetry, but really of modern poetry generally, what is often called its difficulty.
艾略特在描写那些抽象派诗人的文章里,就是我引用的那篇，极力维护,诗人的首要特征，不仅是因为他自身的诗性，更因为维护现代诗歌的必要，这是非常困难的一件事。
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In particular, all languages, at minimum, are powerful enough to convey an abstract notion like this; abstract in the sense that it talks about thoughts and it talks about a proposition and spatial relations in objects.
尤其是所有的语言都至少,能够有效地表达抽象概念,在某种意义上来说,抽象概念能够表达思想,能够表述物体的位置与空间关系
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So literary can sometimes be very abstract like mathematics, and therefore, if someone says make me a movie, showing me what the square of minus two means that is going to be a challenge.
文学有时候也可以很抽象,像数学，因此如果有人说,给我做一部电影吧,给我展示一下负二的平方,那将是一个挑战。
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What is this? This is a wonderful piece of abstraction. It is saying, you don't need to know squat about what's inside the body of this function. You don't have to worry about the parameter names, because they're going to be preserved, you don't need to worry about how I'm doing it, this tells you how you can use this, in order to use it correctly. Of course, I can then close it off, and off we go.
但是这能告诉你一些信息,这是什么？,这是一段完美的抽象,它的意思是你不需要知道,这个函数的内部构造，你不必担心参数是否重名，因为它们已经被预存了,你不需要担心我如何使用它,它告诉了你你该如何操作，从而正确的使用它，当然我也可以把它关掉。
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What we're really getting at is the idea of saying I want to have a way of grouping together information into units that make sense. So I can go back to one of those topics we had at the beginning, which is the idea of abstraction, that I can create one of those units as a simple entity, bury away the details and write really modular code.
组合成为有意义的单元,那么这就让我们回到,一开始讲的话题之一了,这就是抽象的概念,也就是我可以以一个简单的，实体的形式创建这样的一个单元，把具体实现隐藏然后写一些,真正模块化的代码,我们在以后的课程中。
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