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
don't have that kind of person and you're raising not only that problem but an even bigger problem and infinitely on the basis of very small cos changes and if you have a fleet of of
Planes, the moon, the sun, tides-- everything rings this machine. Infinitely sensitive detector would pick up gravitational waves from all of us moving around.
But, to head off any questions, let me go into the crystal for a couple minutes because it is actually cool physics. 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.
The thing that makes it tricky is that-- and you'll learn this, which is what makes bread baking infinitely challenging and fulfilling and intriguing, is that every day-- especially if you're working with a sourdough culture-- every day,things are a little bit different.
Because even though Michele is going through something really terrible, to know that the people that he cares most about are going through something that is infinitely more difficult than what's about to happen to him.It really feeds my reason for what I have done, and the decision that I've made.
First, you practice it on a micro daily level. infinitely more creative.
And he had this idea of, wait a minute. Saved infinitely forever. And he said, how do you create scarcity in a world of digital abundance?
I don't want to interrupt you by the way. are infinitely wider. But of course the danger of the filter bubble is real in some circumstances.
mistakes um but I think the the silver lining of the fact that these mistakes and hurdles never stop is that they 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 through it can I make payroll this week like can we pay our taxes on time and now that I'm in my 30s and inching
The technologically advanced data rich world we live in today all devolves from that central one discovery, that the universe was created in deep time, extends infinitely across deep space, and leaves a record of its own history in matter. So the material universe is itself in archives, and the Earth writes its own autobiography in matter.
To do it, I've taken a light, a mirror and a camera. Now there are infinitely many paths that the light could take. And according to Feynman, we have to add the contributions of each them.
Everything that you've talked about has really brought me back to two things. You're infinitely curious, and you really approach this as play. And even as you run into obstacles with one model shop or one company, or trying this out, trying that out-- even after you-- you said it took you 10 years to make
And I suddenly realized this power of community, the power of coming together, the power of striving for a common goal. Us being infinitely more powerful together than we are as a sum of our parts. And even last year, we were working with Sadiq Khan's team to create a 4,000-mile relay around London--
and make them a little fuller, spin them around, try them out different ways, and make some kind of music of subtle variations of what I think are kind of infinitely beautiful, simple, random sets of events. So I wanted to do-- I thought a computer would be a good way to approach it.
Maybe it's infinitely divisible into smaller and smaller pieces, using an infinitely sharp knife.
It was infinitely more complex.
We become more infinitely organized, which means we are much more interested in trends than we are in absolutes.
actually an infinitely deep puncture in SpaceTime okay so and this is why you know it was an uncomfortable concept and
but not infinitely , complex.
-The world is an infinitely better place because of you.
And some people are infinitely dissatisfied, no matter what they have.
First, you practice it on a micro daily level. People are infinitely complex and they never fit into the little categories that we have of their behavior.
The consul is an infinitely hot and dense dot of eyeball-warping fuzz in the exact center of what will be the ground floor.
These polls are infinitely malleable.
An ideal solenoid would have to be infinitely long, which is physically impossible.
But if software can be infinitely written at will, then product is no longer real mode and can be replicated.
- Yeah, let's talk about Hilbert's Hotel. - Hilbert's Hotel is a hotel with infinitely many rooms. Each room is a full floor suite. So there's floor zero... I always start with zero because for me, the natural numbers start with zero, although that's maybe a point of contention for some mathematicians. The other
arrives, and Hilbert's train has infinitely many train cars... ...and each train car has infinitely many seats. And so we have an infinity of infinities of the train passengers together with the current occupants of the hotel, and everybody on the train wants to check in to Hilbert's Hotel.
Our computers today are almost infinitely faster than what they were in the '90s.
All of that like just becomes infinitely more possible.
This mind of ours is infinitely teachable.
I know it's an extraordinarily infinitely complex system.
And he had this idea of, wait a minute. And it's a passport that's infinitely renewable, that you want to get stamps from all over the world.
or Egypt or Indonesia is infinitely more impactful than telling them about Larry Page or
And I think that's really infinitely more dangerous.
But, to head off any questions, let me go into the crystal for a couple minutes because it is actually cool physics. It would have to move infinitely fast.
Something that can grow and get infinitely big.
the impact of your service today is infinitely more valuable than it will be in 10 years.
So I've got almost infinitely more material, but I thought at this point, Jeff and I will talk a little bit and then we can take questions.
almost um almost uh uh infinitely and in fact he said in one in one letter
But the twin prime conjecture claims that there are infinitely many of them you never run out.
And so the current world record is that there's infinitely many pairs of primes that differ by no more than 246.
In those cases when you're choosing from infinitely many sets, including the uncountable ones, you need the axiom of choice.
of the Vitali set could you add to itself infinitely many times and end up with a value between one and three?
Doing the tiny thing on a daily basis is infinitely better than doing nothing.
Imagine we take 17 of those links and make them infinitely strong.
uh at our at our devices and and infinitely scrolling uh and to do much better on content moderation. What
Agent Smith, so infinitely copied information.