was solved very recently by a mathematician using AI. I see us blending with AI. Not necessarily thatwe have implants, but maybe we will. But there will not be as sharp a distinction
was when I'd written imitation game we were very focused on making it kind of a mathematician story from the from the mathematician perspective so it was the whole thing we always talked about was this is Alan turing's this is Alan turing's story As Told by Alan Turingwhich means he is also not necessarily a reliable narrator this is how we want to tell his life story the way he would
So in this case, we might imagine Maxwell's demon takes the high-energy particles and tries to sort them to the left side of the partition and the low-energy mathematician by the name of Emmy Noether Mathematicians tend to revere her, by the way.
until um this man liinitz a great uh German philosopher, scientist, mathematician uh conceived is the man who brought you both calculus andoptimism. Okay. So um uh Linitz was uh
he decided had come to grips with the nature of the infinity and uh infinity was of course something I mean every mathematician now and then deal dealtwith infinity but u uh at Gaus himself had admonition
uh in this crisis this man got Frager uh decided so a rather unknown uh German mathematician uh uh decided to u uh set it straight and so what he did is is uhbefore writing his magnum opus on on on what he wanted to do he wanted to redo mathematics all to sort of you know to
For example, the machine finds 2, 2, 7, but also 7, 2, 2, and 2, 7, 2. Mathematicians correct for this when doing the real calculation, but for our purposes, this machine is good enough.So we've got our H of N, and if we can show that H of N is at least 1 for every odd number greater than 5,
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 mathematicians are wrong. - Like I mentioned, I'm a programmer, so starting at zero is a wonderful place to start.- Exactly. So there's floor zero, floor one, floor two, or room zero, one, two, three, and so on, just like the natural numbers. So Hilbert's Hotel has a
That's OK. I think that's part of the process. Mathematicians spent 50 years trying to figure out this one problem.In a sense, you're part of a whole chain of guessing and checking till we figured out one solution that worked.
But it shows the extent to which this longitude question, right, became this national scientific endeavor, both for astronomers, mathematicians , but also for these tinkers and inventors.Jefferson had a far more productive exchange with Dunbar, who was, in fact, his most distant correspondent on this.
And another quote from Thomas Pynchon-- "Who claims truth, truth abandons." And there's a little historical context. "Mathematicians are therefore mystified by the spectacle of philosophers pretending to re-inject philosophical sense into the language of mathematical logic.
particular one of these various geometries that had previously been imagined only by mathematicians now here again I'm we're mixing conceptions of fourth dimension because that's the other thing thathappened was besides time as a fourth dimension mathematicians were able to
artists poets photographers Freedom Fighters industrialists musicians mathematicians all of these figure in the book the second century healer whoselessons on ayurveda are still used to treat conditions from infertility to diabetes around the
And that's good enough. Mathematicians can be rock stars.
That was the next big question that scientists were thinking about. Mathematicians and philosophers wanted to figure out how could you make a three dimensional shell?It's all very well the same.
Like I had one sister who didn't speak to me for five years, because she was saying they'll think it's us. Mathematicians work in precise numbers.
And so they left the task that they thought was not quite as important of programming it-- the cables and all-- to six great women mathematicians . And what surprised me-- to get more granular in the surprise-- so I'm reading about Jean Jennings Bartik and FrancesBilas, but also Grace Hopper up at Harvard.
mathematicians are involved in comedy.
mathematicians . Of the 42 living Fields medalists, four of them have started blogs. So that's about one in ten. I don't know how
mathematicians and we like to Red Indian tribes living side by side peacefully
The mathematician will actually look at both.
A mathematician would represent uncertainty using perhaps a probability function.
And another quote from Thomas Pynchon-- "Who claims truth, truth abandons." And there's a little historical context. The mathematician and phenomenologist Gian-Carlo Rota put this bluntly.
The mathematician was Edward Kasner.
Brilliant mathematician , physics, everything you could imagine.
And mathematicians believed that the theorem worked beyond X to the half, but this was never proven, and that is where the trouble lies.
And mathematicians , like Paul Erdos, had done lots of work on totally random networks, but no one had studied what happens in between.
Some mathematicians argued proofs should be finite, others accepted infinity, but only the countable kind and then things got worse.
When mathematicians played around with the axiom of choice, it created disturbing results.
Some mathematicians spend their time studying universes without the axiom of choice to understand what happens when we remove it.
But mathematicians are one of the few people who really care about whether really 100% of all situations are covered by.
Usually mathematicians give boring names to theories, but occasionally they give colorful names.
The mathematicians did a great job of making it shake-proof and earthquake-proof.
Most mathematicians I've polled, including some people we've talked about earlier, most mathematicians think, of course, that numbers exist.
with infinity but u uh at Gaus himself had admonition all mathematicians treated infinity sort of you know threw long sticks. Okay, they never touched it. Okay, they uh infinity was something that you write under the limit sign. Okay, so you know and you don't think about it anymore and
his homosexuality and and as a result he was tried and he was condemned to uh crazy mathematicians like all scientists you know have so you know they must
the mathematicians among that it was something like 1500 the repeat pattern
A problem that great mathematician Edmund Landau called unattackable.
- So Hardy writes back. The rigorous and strict mathematician he is, he asks for proof. Ramanujan, however, is nothing like Hardy.
The Austrian mathematician , Kurt Godel, proved there is a world all the other already accepted axioms of set theory hold true, and so does the axiom of choice.
As a mathematician , she researches category theory.
I am a mathematician , so I write using LaTeX, which some of you may be familiar with.
But he was a mathematician at heart, and Einstein really was not.
And the mathematician brother, who was in grad school at the time, described the response on campus to the video.
And it's the mathematician 's nightmare, of course, because you can be trying to-- you might not know whether this thing, this thing you're trying
So you're a mathematician .
It's called "A Mathematician 's Apology" by G.H. Hardy.
for a professional mathematician to find himself writing about mathematics.
The job of a mathematician is to prove theorems, not to talk about them." So in some ways, that has always been a sentence which
realize that a mathematician with insights into topology will have big impacts on trying to understand neuroscience and the brain, for example.