https://www.youtube.com/watch?v=OyfBQmvr2Hc

captions.sbv

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So I'm Will, and 
I was a

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middleschool teacher, 
and I ran a summercamp

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and I did all these things. 
And then at some point

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I got a degree in computer science
and I worked as a

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Java developer and all that stuff,
right?

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and then I got fed up with the 
Javascript and the Java and all that

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and I went to graduate school at
Indiana University 

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 to work with Dan Friedman,
who you may have heard of...

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He is someone who wrote a book called 
"The Little Lisper"

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and a revised version called "The Little Schemer"

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and "The Seasoned Schemer".
I wrote a book with him called 

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"The Reasoned Schemer"

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I took Dan's class the first, you know, 
semester I was there and

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a couple of weeks into the class, Dan showed 
me a program that changed my life

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and basically, I've spent the last
twelve or thirteen years

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trying to understand, like,
these five lines of code, right?

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I will spend the rest of my life trying to
understand the implications

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of these five lines of code.

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And this is what I like, ok? So, some people like writing a hundred

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thouse line compiler

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or an operating system kernel with
two million lines of code, or whatever

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and that's great. What I like

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is sort of going the opposite way. Like...

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the 3x5 card or the 4x6 card

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and if you're not an american I don't know what that is

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It's A4 or something, I don't know.

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so It's like a 3"x5" card

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maybe a 4"x6" card, if you can't fit down

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the idea

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on a 4"x6" card, then

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think harder.
 — That is sort of Dan's philosophy — 

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and ideally you'd get it down to the 3"x5" card.

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and then you write a little book on it.

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So, that is kind of his way of thinking

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and I share a lot of that sensibility

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so what I would like to talk a little bit about today

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is this program that I saw and it just

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it just floored me

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and to this day

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I get nerd chills everytime I think about it

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I really get nerd chills

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I think

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I was nervous about — I am nervous about — 

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giving this talk

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because one of the dangers I think, is that

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When you've been programming for a while

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and I know a lot of people in this audience, like, know Lisp

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or they've worked through SICP 
[Structure and Interpretation of Computer Programs]

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or they've written lots of interpreters

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and all these sorts of things. They know something about lambda calculus

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After a while, you can feel like you understand something

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And that is the most

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dangerous way of thinking. Is to think you understand something, right?

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and that there are no, you know, kind of, new tricks in this. 

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and... basically every time I learn

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Soemthing new about computer science,
sort of you know,

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every couple of years or something like that. 

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I like to go back and try to think about those things

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which I learned a long time ago

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and I've stopped thinking about. Because I thought

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at least I got some grasp of this, and almost always

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I'll have a new angle, right?

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The really, trully deep ideas in computer science

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or anywhere, any other field.

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There are many ways of looking at these deep ideas

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And I'm going to show you

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a couple of ways of looking at this program.

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But I'm not kidding, 

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when I can say that I'm gonna spend the rest

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of my life trying to understand it. 
And there are many other people

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Who tried to spend, you know, their carriers

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basically understanding aspects of this five line program.

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And to give you

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A sort of a reminder, of, you know

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a five line program, the amount of complexity

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you can fit in there. Does anyone know about the Collatz function

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What is the Collatz function?

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yeah. It's this little... this little function

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like three and...

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plus one and you know, you have like a division

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by two or something like that and you

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basically you're trying to figure out

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if you give it a positive integer as input

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will this operation

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terminate? It just got some multiplications, additions and divisions

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And it is like this tiny little program

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like a three line or two line program and,

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the best mathematicians in the world have been trying to prove

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for many decades, utterly without success,

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that this program always terminates if you give it a positive integer.

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And Paul Erdős, one of the great mathematicians of all time

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at one point said:

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"Mathematics is not ready for the Collatz Problem"

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So, it is this three line program

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who stumped some of the greatest minds in history

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so I'm talking about a five line program.

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That should give you pause.

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That shoud give you pause and we all have to have a

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healthy amount of respect for the

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the 3"x5" card program

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So anyway, the program I'm going to talk about

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is an interpreter

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for Lisp written in Lisp

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It's one of these things... where if you don't know Lisp

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and you first see it. You know, like 
"What are these parenthesis?"

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and after a while you kinda figure it out.
"What is this λ thing"

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That is a thing to wrap your head around.

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And why are there two lambdas, like nested? What does that mean?

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And you kind of go over these different ideas

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and eventually you kind of get some [unaudible] through 

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trying a bunch of programs. Alright, 

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"I kind of get some sense of what is going on"

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and then you start modifying the interpreter and one of the great things about

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this program is that

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there's so many ways to change and explore it

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and play with it

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you can add arguments to the interpreter, you can

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rewrite the interpreter in a variety

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of correctness preserving transformation styles

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one program transformation you can apply

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it is called continuation passing style

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which I consider the gateway drug of

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program transformations. Normally, you CPS that s*cker

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and then from then on...

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It is off to the races

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You CPS an interpreter... You CPS is twice

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that gives you delimited continuations

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and now you're cooking with gas

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you can add a store argument to the interpreter

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right? You can add boxes

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and you could start doing, you know, mutations

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and side effects in different ways

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you can do call by value, versus call by need

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versus call by name, trivially, right?

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You can do all sorts of things that are really deep

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and give you deep insights into concepts of programming languages

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that you'll use, you know, the rest of your career

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or the rest of your hobby or whatever.

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