Name: ホモトピー型理論。ウラジーミル・ヴォヴォツキー - コンピュータマニア (Homotopy Type Theory: Vladimir Voevodsky - Computerphile)
Uploaded: 2021-01-14T10:15:52.000Z
Duration: 5 min 53 s
Description: VoiceTubeの動画で発音を聞きながら英語表現を覚えよう！学べる英語：

He had a Fields medal which is comparable to a Nobel price in mathematics, there's no noble price for mathematics.

So what Fields medal is the closest you can you can get, which is a bit different.

He was a professor at the Institute for Advanced Study, which is our asses off leading research institute.

So just to drop a few names about Einstein, Jennifer Norman were there.

And if you go there now, you find I mean, if if if you're interested in mathematics, there are many famous mathematicians and physicists.

His field is called Homo Toby Theory, whom?

His field of study is very abstract geometry.

And on the first glance, this is very little to do with logical computer science.

So his contribution was really to make a connection between who took this theory and what I'm studied.

Type Seeley and logic and pulled ramming.

So this is it is it was a very interesting connection and enabled us to do lots off things way hadn't really seen before.

Um, so I think he was somebody who very much was thinking out off the box.

He was not stuck in any path, but always open to New Orleans and inventing unity is making new connections on.

It was really interesting to talk to him and meet him and discuss with him Ah, very interesting, interesting person.

And he also had another important, um impact.

Let's say when he started studying ZZZZ and scenes this connection between, ah, home until we see Li on type Seeley such computer science, he also learned about these tools.

We have proof assistance, like the Coke system.

And he started using them and he got really excited.

And he was telling Hiss Hiss, fellow mathematicians, that they really should go and use these tools and formalized their poor, so I only have to trust the computer, which sounds a bit funny.

But the problem is, if you mathematician, you do approve, and often people discover mistakes and pull them into Billy difficult to avoid doings us, and he realized that using tools like the Coke system, you could really avoids us and have do mathematics in a different way.

He was telling them, I mean again and again, which was important because they're not many mathematicians who makes us sleep in different communities.

People would, ah described his legacy different.

I mean, in mathematics, they will refer to his achievement for which she got the field's medal.

ASU Computer Scientist I'm I'm really excited about this union violence principle, but she established and this was a principle which comes from his work in geometry or whom a toupee.

And he even realized that ideas from there are relevant in in general to talk a mathematical object.

Well, data types, let's say, and computer science run off the officers off peak.

Ah, the Holy Grail is what's an abstract data type?

Yeah, so So you want to have one of our data types, but you don't want to talk about the implementation you wantto abstract comes implementation and votes Case Univ.

Alan's principle basically say you can do this if you have to data types which are in some sense of cool and So, for example, ah, natural numbers defined by zero and successor or finally numbers.

So they're self Ah, the same thing described in different ways and vote skis.

Universe principal says no, they're the same.

Yeah, So he constructed a mathematical interpretation off what types really means in terms off geometric objects.

And in this interpretation, it turns out the two things which are equivalent like spinal E numbers in the unity numbers are actually equal.

We could way no haps this thing, which was called home a topi type theory, which is all based on his work.

It, I would say, a paradigm change in mathematics, which works very well.

Elvis ideas v exploring computer science.

So maybe there's some ah, different vase.

Ah, we can renew mathematics using these ideas from computer sends.

So put this forward was really a mathematician and not of computer scientists.

 And let me just explain a little bit if you think about geometric objects like let's see a ball and the bicycle tube, Um, then in a very ball is the same execute because we can solve if you use, played or you can just. 