It's like when I first encountered the Pythagorean Theorem.

就像我第一次接触勾股定理的感觉。

And it turns out there's a variety of proofs of the Pythagorean Theorem.

其实有很多种证明勾股定理的方法。

And we did that in kind of the intuition behind the binomial theorem videos.

我们是在利用二项式定理的方法来解决问题。

It's actually quite useful to have case studies or stories, which are these famous theorems.

事实上，学习著名定理的案例和故事是相当有用的。

His conclusions were as infallible as so many propositions of Euclid.

他所作出的论真和欧几里得的定理一样的准确。

The shape of the earth? The heliocentric universe? The Pythagorean theorem? The structure of DNA?

放弃对地球形状的认识？对以太阳为中心的宇宙的认识？还是对勾股定理的认识？对DNA构的认识？

Instead, they knew all these particular cases where the theorem held true.

相反，他们知道所有这些定理成立的特殊情况。

A Babylonian tablet from around 1800 B.C. lists 15 sets of numbers that satisfy the theorem.

公元前 1800 年左右的一块巴比伦石碑列出了15组满足该定理的数字。

He thought about the mentality that he felt there was there and crystallized it in this concept of Janteloven.

他思考了他在那里所感觉到的在那里存在的思维，并将其具体化在扬特定理的概念中。

Now they didn't have what we call the theorem.

那时他们还没有我们所说的定理。

That is a statement of Fermat's Last Theorem.

这是费马定理的陈述。

And that is a neat thing about the central limit theorem.

这就是中心极限定理的妙处。

You understand the heart of Bayes' theorem.

您了解贝叶斯定理的核心。

So now what is the statement of Fermat's Last Theorem?

那么现在费马定理的表述是什么？

So this is what's super cool about the central limit theorem.

所以这就是中心极限定理的超级酷之处。

Way of producing mathematical theorems the way we do it.

像我们一样产生数学定理的方式。

One answer is that the constructions are needed in the proofs of the theorems.

一种答案是定理的证明中需要构造。

And yet, somehow, he came up with these incredible theorems.

然而，不知何故，他提出了那些令人难以置信的定理。

I am tired of people who treat this like math.

我烦透了那些将之视作刻板数学定理的人。

Because I want to show you the power of the central limit theorem.

因为我想向你展示中心极限定理的威力。