So the integers are totally ordered the reals are totally ordered lots of things are, the rationals are totally ordered.
对正数来说,这样的序列是排好序的,对实数也是如此,对很多事情都是如此。
and a lot of that has been cleaned up which I think is a good thing.
很多这类的东西都被清理了,我认为这样很好这是件好事。
And also in terms of people saying, Well, you know what, that's all well and good because this is really fundamentally a Christian nation.
另外一些人说,现在这样很好,因为美国从根本讲,是一个信仰基督教的国家。
So try 2 4, 6, 8 and that's good right?
试试看,数2,4,6,8,这样好点,是吗?
Okay. So that's strong, weak, weak, in that fashion.
好吧,节奏是,强弱弱,是这样的
This is all by means of review but the question you can now ask is, "Fine. That's why moral feelings might evolve, but what do we know as psychologists about the emergence in nature of moral feelings in individuals?
这些知识我们以前都学过,现在你们要问一个问题,“好了,道德情感是这样产生的,但我们心理学家知不知道,自然界中的个体的道德情感是如何出现的?
All right, it's so if I looked at it, sorry, IF x is less than y, THEN check to see IF x is less than z, and if that's true, print out x is the smallest.
好,代码是这样的,对不起,是不是x比y小,然后去看看是不是x比z小,如果都为真的话,显示x为最小值。
It's kept up very, very nicely and very beautifully. So we are lucky to have it.
这里保持得很好,很漂亮。所以能拥有这样一个公园是一件幸事。
Is this good or not good? "Not good because that means their money,
这样是好还是不好呢?“不好,因为这关乎金钱,
Now, that was true in Sloane but I think Luce has got very good acoustics so you can stretch out in the back.
在斯隆那边确实是这样的,但是卢斯这里的音响效果很好,所以在后面也能睡好
The whole idea of insurance is that you take from your good years and you move it into your bad years so that you make it through all your years.
保险的中心思想是,牺牲好年景的部分财富为坏年景提供保障,这样你就不再忧虑年景的好坏
Alright. So here' s the deal.
好,是这样。
Great. So the question is this.
很好,问题是这样
So if you need the help of the notes it's in there but I would urge you to work through it on your own, and it's the following: let's start with the same path A, all right?
如果你需要帮助,可以去看讲义,但我还是希望你们自己去推导它,它是这样的,让我们从:,相同的路径A开始,好吗?
I started by saying, "Could you come up with any kind of-- well,you tell me in fifty words or less what I said in lecture yesterday about harmony.
我是这样开头的,你们能够想起任何-,好吧,你们用五十个以内单词告诉我在昨天的课上我就和声问题说了些什么。
and you're asking them questions like, "Is this good or not good?"
你会问一些问题,例如,“这样做是好还是不好?”
Why is this much nice? Well, that's a handy piece of code. Because imagine I've got that now, and I can now store that away in some file name, input dot p y, and import into every one of my procedure functions, pardon me, my files of procedures, because it's a standard way of now giving me the input.
为什么这样很好呢?,这是一段很好用的代码,因为想象下如果我有了这段代码,我能把它用某个文件名保存起来,后缀是。py,导入到所有的处理函数中,抱歉,我的处理文件,因为这是一个标准的输入方法。
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