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Created July 16, 2020 01:50
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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
0:07:05.065,0:07:07.400
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
0:07:16.980,0:07:20.220
or the rest of your hobby or whatever.
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