SAME !! I hope he sees my donation and the do not sell until 2027 hahaha.. they even have a better Metcalfe's Law ! nag him for me, cheers.. always so busy being a generalist lately as things just keep falling into my mind out of other things

kzfaq.info/sun/PLDcSwjT2BF_VuNbn8HiHZKKy59SgnIAeO

Perhaps not an entire playlist, but Grant announced recentlly he has sth on Galois Theory in the oven

Sign me up.. make a DAO.. anything hahaha This guy unlocked everything with 808, Monster set video.. taken me months but becoming coherent what bits mean what.. Pariahs are vowels

@@saulberardo5826 where did he say that???? omg i sooo want grant to cover galois theory

If you truly want to learn group theory, then take a course. A simplified discussion will help, but It won't be enough for deep understanding.

There’s a quote from the Little Prince that is apt: “If you want to build a ship, don’t drum up the men to gather wood, divide the work, and give orders. Instead, teach them to yearn for the vast and endless sea.” ~Antoine de Saint-Exupéry

@DSUM curious, where are you now?

Tbf real analysis will always be difficult unless you're willing to work at it... continuously.

@@jbucata Please explain what it means to work continuously, and what it means for the rate at which you work to exist.

@@theswelldudesfishtanks7461 it means you must enjoy it. the more you enjoy something the more you'll do it, and the more you do somrthing, the better you'll get at it. so the amount of you enjoying something is directly proportional to how good you'll be at it.

@@jbucata The effort required to learn it is greater than epsilon.

Ikr!

Yeah, and this is weird who thought a podcast about math would work.

YES

Mind-blowing!

Hay love your lectures as well

I would love to see you do an interview with Grant!!

Sir, you are too good and video which you created helped me so much in graduation, please do as long you can.

hi trefor

Professor I m learning letax watching your videos and now I m writing my thesis in letax because of you thank you so much

Sincerely one of the most delightful conversations I've ever heard with transformative potential

👍

That's outstanding, congratulations!

Me too, clapping, posting like a bot so much GOOGLE OI YES YOU keeps fking me over 🤣 thinks im those GPT3 text bots so posts are disappearing.. looks like all they did was add a rate limiter :( ignoring my posts about the impending scammer explosion for almost 2yrs.. priceless We can't fail.. humanity is too powerful, our intention to be good just.. its all so obvious when you grow enough you see it, intuitively or practically.. evolution is relentless its just painful and slow, but fear is at the core of our ego. Fear of the unknown.. after all, what do we do, sense data ? most of it gets discarded. Samurai knew that when you focus on one thing, you unfocus on others - your FOV of your eyes narrows, throwing away more and more data every Planck tick. The amounts are astronomical but we get more meaning from the intuitive stuff anyway, body language.. detail/fidelity is NOT important, and if it was, we would be able to see fundamental quanta.. of course we can't, we perceive them to be physical. So we go optical. The most intriguing bits for me are.. how touch, taste and smell can be combined. And how memory ACTUALLY works. There are a few cases where there is a human who doesn't get brain formation only stem and the inside surface of the skull. In those cases, sometimes the person is not diagnosed during pregnancy as an anomaly ! if you are, then you are actualized then as having that constraint - they are mentally challenged. Meanwhile, one who didn't even know until his 20's, has about avg IQ and works a maths related job HIS MEMORY IS FINE. Memory is stored in "awareness" why else do we need to think about things in a structured way - and why else would CHAOS, entropy be growing in someone who is more and more fearful - old people today cannot interpret these technological advances, you get stuck in your ways interpreting data patterns so when something new comes along,... sometimes it is just too abstract ! voila we have the need to have more than 1 database. You don't grow up all in one lifetime just like maths isn't one very long class.

Agreed but this is a video not a podcast. 👍🤷🏼‍♀️

"Classes will dull your mind; destroy the potential for authentic creativity." lol

Just like school

Appropiate way of speaking given your username

Bruh

That’s a really interesting perspective. I believe the same thing happens in CS. The textbooks weren’t that fun because they merely presented the final results. Papers are much more inspiring because you can see the growth and development of an idea.

The word "moral" is a bizarre choice, because it's really referring to an aesthetic judgment, but it seems to refer back to the idea that virtues like Truth and Beauty converge. This really plays out in philosophy, where the Anglo-Analytics (rigor) sneer at the Continentals (moral) because they're too fuzzy.

@@ricobarth It's bizarre if you view mathematics only as something which exists outside in the world. Bill Thurston used to emphasise, however, that it's not computers that do mathematics, humans do mathematics. Therefore, mathematics is both something that exists in the outside world, but also in our consciousness -- there's an important interplay.

@@kiran10110 The other thing to bear in mind is the following: Textbooks contain results that have been around for a long time. When you know something for a long time, the curse of knowledge kicks in dramatically, and you assume everyone knows this. In fact, you have evidence for this: All your colleagues know this too, and so, it is as clear as day what is going on. So new results are much easier to exposit than old results that have been known for decades (or centuries).

@@KyleBroder Do you know what an aesthetic judgment is? I assure you it's not just internal.

I have a memory of writing down the multiples in a grid; columns and rows. Either I was already aware that multiplication is commutative, or the grid representation showed me so, by way of being diagonally symmetric. The process of memorizing the multiples flowed from that grid representation, each multiple occupying a cell of that grid. It was a single picture representation, natural to mentally visualize, and I would visualize walking down a column.

@@cleon_teunissen I knew it was commutative through memorization as well, but then I understood *why*, by thinking about the area of a rotated rectangle :)

@@DitDede Just to be clear. I did not memorize until after I had the mental representation of all the multiples in a grid. Walking down the columns of the grid (mentally) was slow at first, as I was re-doing the arithmatic each time. In subsequent stages doing-the-arithmatic and producing-from-memory blurred into each other.

Just looking at that Risk problem, I can see two very different types of "solution". One is the boring, brute-force approach, possibly computer assisted, where you just directly count/calculate the various cases and end up with hard numbers with minimal context. The other is to somehow derive the answers more theoretically, which will give more insight into the problem, but isn't guaranteed to be possible.

@@rmsgrey Yeah, the challenge I gave myself was to figure it out using a derivation instead of brute force. I haven't really completed it so far. I have found a solution for expected losses on a single battle that I checked against a brute force, but I want to derive it further for expected losses over multiple battles. That extended battles problem I have found an algorithm for, but the algorithm is O(3^x).

@@scottbigbrain3944 If you can do expected losses for a single battle starting from an arbitrary (non necessarily integer) troop count can you not just chain battles together to get a campaign? Or do the end effects of low troop counts mess things up too much?

@@rmsgrey You can chain them together, and low troop counts don't really mess with that. The stringing battles together is the O(3^x) algorithm I was talking about. The challenge I am working on with it now is to see if there is a more efficient way to compute further battles.

I was literally watching his videos like an hour ago

So much this, absolutely loved Professor Leonard's videos! Was an absolute carry for me through calc

I honestly thought he was a high school teacher when I found his videos. He just makes the class feel a whole lot less stressful no matter the topic.

Also with professor dave explains KZfaq channel

Leonard is one of the 🐐’s