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STUDENT: Right, we're going to do that in a second, but the answer is Fibonacci numbers, we define the first two.
学生：听不见：,我们马上会试一试，但是答案是斐波那契数列，我们可以定义下最初的两个数。
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Does anyone know the history of what Fibonacci was trying to do? Sorry, let me re-ask that. Fibonacci.
创始人是斐波纳契,有人知道斐波纳契想要干什么吗？抱歉，让我再问一次。
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When you go to Greece do the obvious, go where the tourists go and Delphi is one place not to miss.
当你们去希腊旅游的时候随大流吧,别的旅客去哪你们就去哪,德尔斐是必经之地
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But, in some sense, I'll be giving a closer commentary of the Phaedo than I'll do for the other readings.
但在某种意义上,相对于其他阅读材料,我会对斐多篇作出,更为细致的解说
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Which actually is son of Bonacci which is the name of his father who was apparently a very friendly guy. First of all, does anyone know what a Fibonacci number is? Wow.
斐波纳契，它是波纳契的儿子,波纳契是它父亲的名字,听上去是个友好的男人不是吗,谁知道斐波纳契数列？
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And the reason I want to show you this is to notice that the recursion can be doubled.
如果我来写斐波那契数列你可以看看这儿,原因是我想让你看看这部分的递归可以翻倍。
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Now, the objection I've just raised is not the objection that Plato raised in the Phaedo, but he does raise a different objection.
我提出的反对观点并非是,柏拉图在斐多篇里提出的反对观点，但他确实提出了个不同的反对观点。
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What I'm suggesting to you is that this was the best information gathering and storing device that existed in the Mediterranean world.
我所想要告诉你们的是,特尔斐是地中海世界,收集和储存信息的最佳地点
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The particular dialogue that we're going to reading,the Phaedo, is set at the death scene of Socrates.
我们要学习的这篇对话,斐多篇,就将场景设定在苏格拉底临死前的一幕
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Because at some point in here, Delphi really did become the navel of the universe; everybody came.
因为,从某种程度上,特尔斐,确实成了世界的中心,所有人都来这儿
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It takes the number whose Fibonacci memo I want plus a memo.
它将我想要的斐波那契数,的值加上了参数。
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Nonetheless, in the case of the Phaedo, I am going to spend more time actually saying, "Here's what I think the first main argument is.
对于斐多篇,我还会花更多的时间来说明诸如,我认为首要论证是这样的
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Even there, I won't be spending time reading out loud long passages from the Phaedo.
即便如此,我也不会花时间大声朗读,斐多篇的各大长篇
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Starting next week, we're going to be looking at Plato's dialogue, the Phaedo.
从下周开始,我们要学习柏拉图的对话,斐多篇
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So that's all I really wanted to say by way of introduction.
以上就是我对斐多篇做的简介
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We'll be talking about the Phaedo starting some time next week and we'll continue the discussion of the Phaedo for at least a bit of, maybe all of, the week after that.
我们会在下周开始讨论斐多篇,外加下下周的一部分时间,或者全部时间,继续,讨论斐多篇
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Anybody--raise your hand if you've been to Delphi.
你们谁去过德尔斐
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And so although I'll be saying a great deal about the Phaedo once we turn to it, I want to just take a minute or two and say a couple of introductory remarks.
尽管在讲到斐多篇时,我会向你们详尽介绍其中的内容,但现在,我还是想先花一两分钟的时间,做一个简短的引言
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We know for sure Greeks and barbarians, and everybody came to Delphi, and when you came to Delphi and you were going to consult the it was hard, there were a lot of people, a long line, so there was a waiting issue.
我们可以肯定希腊人和蛮族人,都去了特尔斐,当人们到了特尔斐时,就会去请示神谕,这事情很难做,因为人非常多,会有很长的队伍,因此等待是个大问题
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The topic of the Phaedo, as I say, is set on Socrates' last day.
斐多篇的主题,如前所说,被设定在苏格拉底受死当天
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So in about a week or so we'll start reading Plato's Phaedo.
一周后我们将开始阅读柏拉图的"斐多篇"
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That's the question that's driving the discussion in the Phaedo.
正是这个问题引发了斐多篇中的谈话
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You should start reading the Phaedo for next week.
考虑到下周的课程,你们应该提前开始阅读斐多篇了
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Well, there are the various parts of our physical body, but there's also our soul. Remember, as I said, in introducing the Phaedo, Plato doesn't so much argue for the existence of something separate, the soul, as presuppose it.
肉体由许多不同的部件组成,但是同样也有灵魂,我在介绍斐多篇的时候,提到柏拉图并没有花大力气,去辩证肉体之外存在个什么东西,他直接默认了灵魂的存在
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And so we've got it up here, a nice little recursive implementation of it.
然后在这里有个这样的数列，一个很好的用递归来实现的斐波那契i数列。
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Those would have been some of the considerations, and so what the Oikistes does when he has picked out in his own mind where he wanted to go, next he goes to Delphi.
这些因素是建立殖民地时需要考虑的,那么如果Oikistes确定了建立地址,那么之后他要做什么呢,下一步他要去德尔斐
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You remember last time we were looking at Fibonacci.
你还记得上次我们在研究斐波那契数列吧。
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And the thing I wanted point out is, we've got this global variable number of calls. Which is there not because Fibonacci needs it but just for pedagogical reasons, so that we can keep track of how much work this thing is doing.
要指出的是我们已经,调用了几次这个全局变量,这不是因为斐波那契数列,需要调用它而只是,因为教学上的需要，以便我们可以知道,这个函数做了多少事情。
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Okay, now suppose you are the Oikistes, you've gotten the permission from your city to go forward, and you go to the Delphic Oracle and the Delphic Oracle says fine, by all means, go where you want to go.
好吧,现在假设,你被选为Oikistes,即被选出来建设城邦新殖民地的首领 你得到了向前行进的许可,然后你去了特尔斐神示所,神谕说一切顺利,这意味着,你想去哪都可以
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