- Have you been able to sort of internalize a good intuition about countable infinity? Because that is a pretty weird thing. You can have a countably infinite set of countably infinite sets, and you can shove it all in and it still is a countable infinite set.- Yeah, that's exactly right. I mean, I guess, of course, when you work with these notions, the argument of
then 40 and then kids and then I start to, you know, change and maybe at some deeper level we are making a certain set infinite horizon that somehow was infusing your decisions, you know, to
Clean food. And technology gave them to us. We stamp out infinite Coca-Cola, infinite Hershey's bars, ice cream, right? Running water.Right? Electricity. So, all of those things have been given to the middle class, the working class in the developed world. Right? Not everywhere,
Then you have infinite games. Infinite games are defined as known and unknown players, which means you don't necessarily know who all the players are, and new players can join at any time.The rules are changeable, which means every player can play however they want.
That's the Poincare recurrence. infinite sums like our famous sum of the integers, which kind of brings us back full circle, right?
- How big is the universe? - Infinite . - How do you know for sure? - I don't. I just believe it.
I know that I have forced all of you to go back in time to ages when there was no electricity. Infinite in fact. You could do it in three lines if you go really outside the box.
And we could realize these new efficiencies that really challenge the notion that you can't have infinite growth in a finite world. Infinite growth implies that you don't have any kind of process automation, and you don't have any changes in what people want, and that will just keep growing.We'll keep making cars that have x tons of steel in them, and we can do that infinitely .
If you want to broaden those musical qualities that you're listening to and you have access to this seemingly infinite music library, what would you recommend as a first step to start trying to broaden from where you are?OK, so here's where my talk becomes maybe tricky, or it might sound evasive.
perfectly rational wealth maximizer with the infinite capacity for rational decision making I mean do you think homoeconomicusexist I don't and despite that
seat the uh roll up in this case I made an infinite uh rollup that was going into the into the distance and was doing thejob uh verbally that of setting up the
to heaven and people who believe the wrong things about Jesus go to hell you start to wonder so like are there an infinite variations of me and do they all are there like tens of billions of me in heaven and tens of billions of MeIn Hell or are there like multiple dimensions of Heaven and Hell for each Quantum reality isn't that really
device that we call a guitar uh you can make it produce a a subset of the the infinite pattern of sounds that we call music and in fact even if you don't know how to play the guitar in that way youcan still play with it you can still do something with it that relies on the material uh design and structure of the
And this section I'm going to read to you is from when David is 29 years old and he's not yet the world famous author of Infinite Jest. He's, in fact, the kind of beaten up, tired, and exhausted kind of failed graduate student in Cambridge, Massachusetts.What happens is that David, he grows up in the Midwest in Champaign Urbana.
And the answer is clearly, "It cannot." Unless we somehow miraculously find that the Earth is infinite in its ability to supply the stuff demanded by the technosphere and infinite in its ability to absorb the poison produced by the technosphere.This imbalance, this dysequilibrium, is a serious problem.
in. But on the following weekend, a giant bus pulled up, Hilbert's bus. And Hilbert's bus has, of course, infinitely many seats. There's Seat Zero, Seat One, Seat Two, Seat Three, and so on. And so one wants to... You know, all the people on the bus wantto check into the hotel, but the hotel is completely full. So what is the manager going to do? And when I talk about Hilbert's Hotel,
transfixed by it. It was quite amazing to me that this notion of countable infinity could be closed under this process of infinitely many infinities adding up still to the very same infinity, which is a strong instance, a strong violation of Euclid's principle once again, right? So, the newset that we built is... has many more elements than the old set in the sense that there are additional elements, but it doesn't have many
infinitely on the basis of very small cos changes and if you have a fleet of of
Infinitely sensitive detector would pick up gravitational waves from all of us moving around.
Infinitely is obviously faster than light, so that is ruled out by Einstein's theory, or at least, would contradict Einstein's theory in a very serious way.
infinitely challenging and fulfilling and intriguing, is that every day-- especially if you're working with a sourdough culture-- every day,
infinitely more difficult than what's about to happen to him.
infinitely more creative.
- This infinite duplication is theoretically possible, but the catch is the groups we split the ball into aren't simple shapes.
to infinite cases, and this provides additional information.
an infinite decimal point. That is the birth of the space and time of our
like infinite scroll, something like uh you know generated uh suggestions instead of chronological suggestions for
An infinite number of them, if you think about it.
is infinite and dynamic, and our brains are really powerful but they're finite and they sample the world
is infinite . The amount of ideas that are out there to be discovered are infinite .
magical infinite power sources or faster than light travel or other nonsense, right?
the infinite goodness of God?
the infinite possibilities of combining all the different plant foods in delicious ways.
An infinite game is defined as known and unknown players.
The infinite players the ones who say, how can we be a better version of ourselves, how can we advance our metrics, how can we
The infinite stuff, the why stuff and the value stuff, is inherently intangible, and it's inherently difficult to measure.
Just infinite sums. And infinite sums, that theory is rooted in finite sums, which is just addition.
An infinite sum. This is the second part of our book.
the infinite number of things we have in this universe?
and infinite ways to choose.
an infinite amount without bringing anything back in.
An infinite , unbounded, homogeneous state would literally be indistinguishable from a void.
of infinite possibility and we like to not think about the limitations of our hard wiring.
almost infinite levels of depth, immersive entertainment. Just like Star Wars has become.
find infinite ways to do good. And I'm surprised every year I go, how did they think of that? This year it's totally
is infinitesimally higher. And so we shouldn't accept that while saying that this advance in technology for self-driving in a much
Saved infinitely forever. And he said, how do you create scarcity in a world of digital abundance?
are infinitely wider. But of course the danger of the filter bubble is real in some circumstances.
become infinitely more fulfilling to solve and learn from and I think when you're in your 20s and starting a business it's just oh my God can I get
extends infinitely across deep space, and leaves a record of its own history in matter.