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Re:What John von Neumann Did at Los Alamos by jonplackett on Sunday April 07, 2024 @05:45PM (#39964235)
I’m curious, since I never studied maths past A level.

Is there a difference to the way it’s taught now compared to whenever von Neumann was studying.

What I mean is, the way I was taught maths and science in general was with a feeling of “look we basically know everything just learn this and you’ll be fine”.

Rather than that there are MASSIVE open questions and things we don’t understand at all. Please learn maths and physics and fix them, will you?

I’m basically curious how a fairly young person gets into their head a thought like “Hey, why don’t I just revolutionise a few things? That seems totally reasonable for me to do that.”

Re:What John von Neumann Did at Los Alamos by empath-nirvana on Sunday April 07, 2024 @07:02PM (#39964717)
Eventually you start specializing and learning more and more about a particular topic until you know as much about it as anybody else, and then you just keep going.

There's always massive open questions because every question you answer generates more questions.

Re:What John von Neumann Did at Los Alamos by epolanski on Monday April 08, 2024 @05:25AM (#39967857)
This.

Which is also why most science published is hard to verify. Pretty much every topic out there is niche enough that the amount of people able to review it (let alone test it) is extremely small and they all know each other.

Re:What John von Neumann Did at Los Alamos by chpatrick on Sunday April 07, 2024 @06:05PM (#39964374)
https://en.wikipedia.org/wiki/The_Martians_(scientists)

There was an incredible cadre of scientists from Hungary in the early 20th century. Sadly they were exiled by fascism.

Re:What John von Neumann Did at Los Alamos by javajosh on Sunday April 07, 2024 @06:54PM (#39964676)
One wonders what fascism could have done had it not alienated intellectuals. But one also wonders if that alienation is core to fascism, even definitive. Fascism is notoriously hard to define, but "alienates the best thinkers" seems like a good litmus test.
Re:What John von Neumann Did at Los Alamos by tonyarkles on Sunday April 07, 2024 @07:46PM (#39964934)
Well... for curiosity-sake I clicked through the list of scientists on the Martians page. Every single one of them has Jewish ancestry. So while fascism more generally (right-wing nationalist authoritarianism) doesn't strictly prohibit intellectuals, World War II fascism alienated these folks because of their heritage.

There were still lots of smart people in Nazi Germany, as evidenced by Operation Paperclip which brought ~1,600 Nazi scientists over to the US to work on rockets and help the US fight the USSR in the Cold War and space race.

Re:What John von Neumann Did at Los Alamos by hattmall on Monday April 08, 2024 @12:50AM (#39966302)
>Every single one of them has Jewish ancestry.

Well, yes, as that's the defining characteristic of the group and why they moved to the United States and became known as the martians.

Re:What John von Neumann Did at Los Alamos by epolanski on Monday April 08, 2024 @05:40AM (#39967949)
Anti semitism is not a core or a common ingredient of what we historically define as fascist governments.

Spain under Franco and Portugal under Salazar did not persecute Jews, in fact allowed them safe passage from Vichy France.

Italy really turned antisemitic after more than a decade with the alliance with Germany to appease Hitler mostly. There's a nice book on the topic, in Italian, "Mussolini Razzista Riluttante" by Antonio Spinosa.

Re:What John von Neumann Did at Los Alamos by nonrandomstring on Sunday April 07, 2024 @07:50PM (#39964953)
I like the rawness of your thinking/questions.

> alienation is core to fascism

Fascism, a neighbour of Futurism, idolises technology, of only for its semiotic power. But then so did Soviet Communism. Stalin executed all the "bourgeois engineers" and Bolsheviks who built the industrial engine of the CCCP. Alternatively, the great leap forward in China and Pol Pot in Cambodia both rounded up the thinkers, teachers and engineers first.

So I don't think it's unique to fascism. What is common?

Seems it's a hallmark of the treachery of totalitarianism. Tyrants fear but use intellectuals. They need actual smart people to gain power, but then who is more threatening than people who know how the system works because they built it for you? So they are always betrayed. Consider Oppenheimer. Many of the great scientists and artists are put out to pasture once they've done what's useful for the party.

> "alienates the best thinkers" seems like a good litmus test.

Almost the whole Frankfurt School were Jewish intellectuals who fled to America.

I've written (probably in Digital Vegan) on how the Silicon Valley Billionaires, once they've built their "Social Media Digital Utopia" - a pageant of vanity, fear and cybernetic governance - would simply dispose of the coders (perhaps not as directly as Stalin). Maybe an indicator of that came early with the layoffs when some got a bit too moist about "AI". I think they hope that "AI" will be the way to pull up the ladder, leaving no challenging class.

Re:What John von Neumann Did at Los Alamos by zztop44 on Sunday April 07, 2024 @08:07PM (#39965039)
Thank you for this reminder to buy Digital Vegan. I’ve had an open tab on the checkout page for about a year now.
Re:What John von Neumann Did at Los Alamos by nonrandomstring on Sunday April 07, 2024 @08:33PM (#39965175)
Thanks. Wish I could go back in time and rewrite some parts - it's one of those "needed to write it as a way of thinking" projects. Better to follow us on the Cybershow now. PM me there and I'l send you a DRM free ebook if you like.
Re:What John von Neumann Did at Los Alamos by nonrandomstring on Monday April 08, 2024 @04:51AM (#39967611)
Some wannabe treacherous tyrants didn't like that being said out loud.
Re:What John von Neumann Did at Los Alamos by ThomasBHickey on Sunday April 07, 2024 @08:49PM (#39965238)
A friend of mine wrote a book about what happened in Germany: Scientists under Hitler : politics and the physics community in the Third Reich by Alan Beyerchen. I'm about a third of the way through it, but they mixed politics with the physical sciences to a remarkable degree, driving away many of the best people and isolating German scientists.
Re:What John von Neumann Did at Los Alamos by digdugdirk on Sunday April 07, 2024 @09:04PM (#39965307)
Out of curiosity, did they start by politicizing the social sciences first?
Re:What John von Neumann Did at Los Alamos by vasco on Sunday April 07, 2024 @10:03PM (#39965587)
Social "sciences" are always political because they are mostly not science and so is easy to co-opt them. Math doesn't have different results depending on countries political system but social sciences do - tells you all you need to know.
Re:What John von Neumann Did at Los Alamos by defrost on Sunday April 07, 2024 @09:20PM (#39965393)
Is that a well formed question?

Of Comte, Durkheim, Marx, and Weber, the people credited with the establishment of "modern" (pre WWI & WWII) sciences of society all were "political" philosphers | thinkers that looked at the behaviour of societies.

Max Weber (1864 – 1920) https://en.wikipedia.org/wiki/Max_Weber was a German of some influence, and the pre and inbetween World War periods were a time of intense political debate in France, Germany, and surrounds.

Who are "they" to whom you refer, and what is "political" as opposed to "social" ?

Re:What John von Neumann Did at Los Alamos by kjellsbells on Sunday April 07, 2024 @10:01PM (#39965578)
You mean the Nazis? Yes. (As did the Stalinists in their totalitarian state at the same time).

One might guess (and its just that, a guess) that such regimes target the social sciences first because such departments (eg economics, political studies) are adjacent to live politics, the regime's people think they understand them and can make contributions (in reality, trying to take control of course) and of course because the hard sciences require the payment of a hard tax of mathematical skills to say anything useful, which most political hacks do not have.

Re:What John von Neumann Did at Los Alamos by medo-bear on Monday April 08, 2024 @08:00AM (#39968811)
Every form of government targets in some way the social "sciences". Immagine being in a government where the majority of your social scientists are calling for your removal. Same applies to religious institutions and media
Re:What John von Neumann Did at Los Alamos by dzolob on Sunday April 07, 2024 @09:15PM (#39965368)
I wonder where in the fascist scale is an atomic bomb that actually got thrown to innocent people.
Re:What John von Neumann Did at Los Alamos by CamperBob2 on Sunday April 07, 2024 @09:58PM (#39965559)
Bomb somebody else's harbor next time, kthxbai
Re:What John von Neumann Did at Los Alamos by sgregnt on Sunday April 07, 2024 @09:42PM (#39965498)
I wonder if writing needs to update the innocence definition. By that measure, it is very easy to claim one.
Re:What John von Neumann Did at Los Alamos by krapp on Monday April 08, 2024 @07:31AM (#39968626)
No, we don't need to update the definition to retroactively legitimize the mass murder of civilians in warfare. The people killed by the atomic bombs were innocent under any sane definition of the term, and the cruelty behind that was intentional. The US wanted to impart to the Japanese that the violent suffering and death of every man, woman and child would be the cost of anything less than their immediate and unconditional surrender.
Re:What John von Neumann Did at Los Alamos by CamperBob2 on Monday April 08, 2024 @03:26PM (#39972862)
Nukes bad, mmkay. Would you have preferred to learn that lesson 6 years later in Korea at the hundred-kiloton level, or 25 years later in Vietnam at the megaton level?

And would you have preferred that Japan be left to the mercies of the Soviets, turning them into what North Korea and Cuba are today?

Childish naïveté, world wars, and postwar geopolitics don't mix.

Re:What John von Neumann Did at Los Alamos by krapp on Monday April 08, 2024 @07:18PM (#39974695)
The only coherent part of your comment is the outdated South Park reference. Sit back down in your armchair, general.
Re:What John von Neumann Did at Los Alamos by globalnode on Sunday April 07, 2024 @09:34PM (#39965464)
the fascists distrust thinking that doesnt mirror their own -- the whole "youre either with us or against us" mentality that ironically we see all around the western world right now
Re:What John von Neumann Did at Los Alamos by medo-bear on Monday April 08, 2024 @08:02AM (#39968825)
Only a very stable society is capable of tolerating dissent (in fact it is much better to tolerate than to make martyrs). Once it becomes unstable all bets are off
Re:What John von Neumann Did at Los Alamos by tpm on Monday April 08, 2024 @06:28AM (#39968234)
It's not hard to define, it's an extreme version of "us vs them", divide the society into explicit in- and outgroups and kill the outgroup, repeat forever. Also kill everyone who opposes this, even if a member of in-group.

So it's just a matter of time an "intellectual", or any individual really, says or does something that will be used as a pretext to accuse them of not being a good enough member of in-group (this will earn the accuser status as a guardian of purity). Soon enough the society is full of people accusing others and also of those that want to appease "the authorities" by proposing the most extreme ways of purifying and enhancing the in-group. It's easy to see this is not the best environment for seekers of truth.

Re:What John von Neumann Did at Los Alamos by michaelt on Monday April 08, 2024 @07:21AM (#39968571)
It's hard to get widespread agreement on a definition, because many political groups have a vested interest in expanding or reducing the definition.
Re:What John von Neumann Did at Los Alamos by wslh on Sunday April 07, 2024 @09:10PM (#39965327)
Just Fascism? They would have been exterminated. This subthread shows a lot of ignorance about what we are talking about. Just watch [1].

[1] https://en.wikipedia.org/wiki/Sunshine_(1999_film)

Re:What John von Neumann Did at Los Alamos by chpatrick on Monday April 08, 2024 @07:51AM (#39968760)
I'm not sure what your point is. I'm from Hungary and know the history well. Fascism happened before it was called by that name.
Re:What John von Neumann Did at Los Alamos by wslh on Monday April 08, 2024 @11:04AM (#39970503)
Do you know the story of the Hungarian Jews?
Re:What John von Neumann Did at Los Alamos by chpatrick on Monday April 08, 2024 @11:20AM (#39970640)
Yes, of course.
Re:What John von Neumann Did at Los Alamos by mhh__ on Sunday April 07, 2024 @06:34PM (#39964554)
It's hard to imagine von Neumann not being great today (I think some stories are probably made up, but he was obviously in the top 1 minds of his era), but it is probably true that the "easy" stuff has been mined - where I would define easy as things that can stem from an application of brains around the coffee table rather than intense application of years of whittling at the conference stage.
Re:What John von Neumann Did at Los Alamos by titanomachy on Monday April 08, 2024 @12:07AM (#39966126)
> in the top 1 minds of his era

Not sure if that’s a typo

Re:What John von Neumann Did at Los Alamos by prerok on Monday April 08, 2024 @12:28AM (#39966211)
Not the author, but probably top 1 percent?
Re:What John von Neumann Did at Los Alamos by vermilingua on Monday April 08, 2024 @01:58AM (#39966630)
I don’t think it’s unreasonable to say that JvN was the #1 mind of his era
Re:What John von Neumann Did at Los Alamos by xxs on Monday April 08, 2024 @12:44AM (#39966280)
top 1% would be such way out of range. top 0.0001% would still not make it justice.
Re:What John von Neumann Did at Los Alamos by hiAndrewQuinn on Monday April 08, 2024 @01:32AM (#39966488)
1 out of every million... Yeah, that sounds about right to me as an actual lower bound.
Re:What John von Neumann Did at Los Alamos by alex_smart on Monday April 08, 2024 @03:06AM (#39967006)
Not sure if you’re being facetious? There were not 100 people of the same calibre as JvN in the US or even the world surely.
Re:What John von Neumann Did at Los Alamos by lordnacho on Monday April 08, 2024 @03:39AM (#39967196)
JvN, the finished product, probably you're right.

But of the people born with his tools? How many were born into a setting that even cared for intellectual things? How many of them would be born into a wealthy family that could afford to hire private tutors for all their kids?

Re:What John von Neumann Did at Los Alamos by glimshe on Monday April 08, 2024 @08:44AM (#39969124)
Yes - probably a lot of regular commenters on HN are among the top 1% in intelligence.
Re:What John von Neumann Did at Los Alamos by saagarjha on Tuesday April 09, 2024 @02:17AM (#39976603)
Maybe top 1% of thinking they are ;)
Re:What John von Neumann Did at Los Alamos by kgwgk on Monday April 08, 2024 @01:48AM (#39966576)
More likely top 10 - if it’s indeed a typo.
Re:What John von Neumann Did at Los Alamos by curt15 on Monday April 08, 2024 @08:17AM (#39968922)
"I have sometimes wondered whether a brain like von Neumann's does not indicate a species superior to that of man"

- Hans Bethe

Re:What John von Neumann Did at Los Alamos by prerok on Monday April 08, 2024 @11:01AM (#39970474)
The top 1 percentile was a gross understatement that I should have removed immediately ;) I agree with many commenters.

I would, however, like to point out that 20th century had many, many great minds, also working in the same timeframe. Claude Shannon comes to mind first, but there were many others whose contributions are the basis of technology today.

Re:What John von Neumann Did at Los Alamos by alex_smart on Monday April 08, 2024 @03:03AM (#39966988)
Probably not. The figure is the right order of magnitude.
Re:What John von Neumann Did at Los Alamos by mhh__ on Monday April 08, 2024 @09:07AM (#39969332)
It's a Brian Clough joke
Re:What John von Neumann Did at Los Alamos by vishnugupta on Monday April 08, 2024 @02:45AM (#39966895)
Would the present bureaucracy allowed him to flourish to the same extent though? That’s the question.
Re:What John von Neumann Did at Los Alamos by bmitc on Monday April 08, 2024 @03:36AM (#39967172)
I honestly think not. Today's climate sidelines generalists.
Re:What John von Neumann Did at Los Alamos by mptest on Thursday April 11, 2024 @03:23AM (#39999259)
Anyone stumbling on this thread: A man from the future - ananyo bhattacharya chronicles his life and it is thrilling. If anyone has any of the questions the OP has, the book explains them. There were plenty of open problems then, they just were so unexplored it looked like he and hilbert invented them.

Word of caution, relative to most of you folks I am a mathematical toddler. The book may be overly simple but my calculus professor really enjoyed it.

Re:What John von Neumann Did at Los Alamos by tekla on Sunday April 07, 2024 @05:47PM (#39964253)
Some people just seem to be born with the gift and are simply better.

I recommend reading about Srinivasa Ramanujan

https://en.wikipedia.org/wiki/Srinivasa_Ramanujan

Re:What John von Neumann Did at Los Alamos by mycologos on Sunday April 07, 2024 @06:19PM (#39964455)
Ramanujan is an interesting comparison. He was an outstanding mathematician, but it feels like his prowess came from a deep love of math and concomitant time spent on it. There's an anecdote somewhere about child Ramanujan working his way through thousands of elementary lemmas for fun, and I wonder if this gave him the almost occult intuitive ability reported by his collaborators. The stories about him have a tone of awe, but not fear.

In some contrast, von Neumann seems to have been able to take his enormous fluid intelligence and speed and apply it to pretty much whatever problem he decided, and he did it across many areas, including non-scientific ones. The stories about him are tinged with a little unease, and it's a little harder to see the human underneath his achievements.

Re:What John von Neumann Did at Los Alamos by rowanG077 on Monday April 08, 2024 @01:18AM (#39966424)
You are really deluding yourself if you think anyone can reach Ramanujan levels of skill by simply trying hard enough. This takes insane innate talent in addition to trying hard.
Re:What John von Neumann Did at Los Alamos by laichzeit0 on Monday April 08, 2024 @02:20AM (#39966752)
Yeah it’s like people thinking anyone can be a Micheal Jordan or Tiger Woods if they just tried hard enough, started young enough, were born in the right place to the right parents enough. Some people just have the gift, it’s like neural networks: some random weight initialisations are just better, some maybe even so close to optimum that almost no training is needed at all.
Re:What John von Neumann Did at Los Alamos by andxor_ on Monday April 08, 2024 @02:54AM (#39966943)
Ramanujan was extra-terrestrial. His note books have produced so many papers and PhD theses. Probably will continue to do so for many more years.
Re:What John von Neumann Did at Los Alamos by jonplackett on Sunday April 07, 2024 @05:53PM (#39964297)
This is fascinating. Thanks for sharing.
Re:What John von Neumann Did at Los Alamos by nradov on Sunday April 07, 2024 @09:14PM (#39965361)
Edward Witten probably falls into that category as well.

https://en.wikipedia.org/wiki/Edward_Witten

Re:What John von Neumann Did at Los Alamos by Projectiboga on Sunday April 07, 2024 @08:50PM (#39965243)
I forget the time frames, but you won't get far out of the 19th century undergrad in math like calculus. Statistics or stuff in Comp Sci you will but not in Calc or Differential Equations.
Re:What John von Neumann Did at Los Alamos by prerok on Monday April 08, 2024 @12:09AM (#39966138)
That's somewhat true, however the way the math is taught has changed.

Anecdottally, my father was only introduced to vectors and vector based calculations when at the uni. My generation was taught vectors in primary school already.

I think they opted for the different approach to make a more visual representation of the concepts, so younger minds could more easily grasp them.

Re:What John von Neumann Did at Los Alamos by sublinear on Sunday April 07, 2024 @11:03PM (#39965868)
Contrary to all the fawning in this thread I can only say the somewhat obvious that if you were alive then you'd too think that was a reasonable thing for you to do.
Re:What John von Neumann Did at Los Alamos by j7ake on Sunday April 07, 2024 @11:04PM (#39965875)
I guess the issue is that being able to articulate what is the frontier problems of any field requires a certain amount of jargon and technical knowledge.

I think one can learn math and physics without being at the frontier. One can appreciate the beauty of solutions of classical problems by discussing the problem in a historical context.

Re:What John von Neumann Did at Los Alamos by dukeofdoom on Sunday April 07, 2024 @11:13PM (#39965905)
Not really an answer to your question. But here's a picture of math entrance exam from 1869 to Harvard.

https://imgur.com/a/bDGRU

Re:What John von Neumann Did at Los Alamos by somat on Sunday April 07, 2024 @11:46PM (#39966034)
Often, I feel things are taught poorly. Most just want to sort things out, then teach it systematically from bottom to top. I understand this, it is a lot simpler, but that is not how we figure things out. there are false starts, things that did not work The best teachers, guide you in this process of discovery.
Re:What John von Neumann Did at Los Alamos by rowanG077 on Monday April 08, 2024 @01:10AM (#39966393)
It's not only simpler. It's also faster. We don't want people exiting high school and they just learned of the concept 0.
Re:What John von Neumann Did at Los Alamos by 0xEF on Monday April 08, 2024 @05:09AM (#39967724)
Sagan's old quote about making an apple pie applies, here, I think.

Building on your sentiment, I have always felt that schools (in the US, at least) tend to teach students what to think rather than how to think. There is a huge emphasis on "here is the answer, now go find the questions" where I posit more focus should be placed on guiding a student to problem solve, think critically, and discover a few things for themselves, especially at the younger ages

Re:What John von Neumann Did at Los Alamos by keithalewis on Monday April 08, 2024 @12:01AM (#39966095)
There are still massive open questions. The current educational system does not providing the tools you need to address them.

Maybe you should look into Laslo Polgar. Another Hungarian who taught his daughters how to beat chess grandmasters.

Re:What John von Neumann Did at Los Alamos by kqr on Monday April 08, 2024 @02:15AM (#39966730)
I strongly recognise this sentiment. It's why it was so refreshing to read The War Trap[1]. Granted, it's 40 years old at this point, but the author took data I have access to, used maths I know, and derived new results on a complicated topic.

It's incredibly inspiring. What other complicated fields are just waiting for the right person to come along and discover their fundamental laws? I have a vague suspicion that partial differential equations are criminally underused in modeling for software developmemt and system design.

[1]: I wrote a short review at https://two-wrongs.com/war-what-is-it-good-for.html if anyone is curious.

Re:What John von Neumann Did at Los Alamos by k1t on Monday April 08, 2024 @02:39AM (#39966857)
My memory of school at that age was they'd teach you one thing as though it was the absolute truth, then the following year tell you it was all a lie (or over-simplification) and actually it works like this.

Then the next year they'd do it again.

We'd occasionally catch them at it when in Chemistry they'd tell us electrons worked one way and in Physics they'd say they worked another.

Anyway, I can definitely see how an enquiring mind might want to move past all this and find out The Truth.

Re:What John von Neumann Did at Los Alamos by _glass on Monday April 08, 2024 @03:25AM (#39967102)
I hated this. I started school in Saxony (state in Germany), and then my family relocated to Bavaria. The curriculum switched from a science to a language focus, so I already knew all the next-level Chemistry, and was really annoyed by the style of teaching it wrongly.
Re:What John von Neumann Did at Los Alamos by mkl on Monday April 08, 2024 @05:15AM (#39967768)
I (in NZ) remember that happening in physics and chemistry, but not maths. Maths has unambiguously and provably correct answers, so while more general methods and topics are introduced, old results don't change. (Maybe this is why I became a mathematician!)
Re:What John von Neumann Did at Los Alamos by mrWiz on Monday April 08, 2024 @11:48AM (#39970906)
This pattern appeared in my math math education in the USA as well, but not as pronounced as in physics or chem. The biggest example is that we were initially taught that you cannot take the square root of a negative number. I also have vague memories of learning that a larger number cannot be subtracted from a smaller number (sometime early in grade school).
Re:What John von Neumann Did at Los Alamos by lordnacho on Monday April 08, 2024 @03:56AM (#39967281)
It's like that all the way through undergrad, you're just learning things that have been known for a long time. You need to know the basics before you can contribute anything new, and there's a lot of basics nowadays.

Once you get to the edge, the game changes a fair bit. You'll need to know the actual experts, rather than just watching YouTube lectures or reading textbooks.

In terms of difference at the level you're talking about, the one big difference is that von Neumann's parents recognized how smart he was, and could afford to hire appropriate tutors to accelerate his learning.

There's this thing called Bloom's Two Sigma, though I'm no expert on the area it would appear that having a tutor improves results considerably. Now imagine one of the smartest kids ever born having parents who got him tutors.

Re:What John von Neumann Did at Los Alamos by randomcarbloke on Monday April 08, 2024 @04:43AM (#39967572)
Actually yes, the gymnasium at which he studied in Hungary during the turn of the C20 had a very fast and formulated approach to mathematical learning, it churned out a handful of truly exceptional minds, there is literature but it is sparse.
Re:What John von Neumann Did at Los Alamos by jhbadger on Monday April 08, 2024 @06:43AM (#39968333)
>What I mean is, the way I was taught maths and science in general was with a feeling of “look we basically know everything just learn this and you’ll be fine”.

That's pretty much how anything is taught in high school (and even most undergraduate programs). It's considered confusing to teach students that a lot of what we "know" is known to be incomplete and will change. I've kept some of my textbooks on immunology and other biomedical topics from the 1990s and parts of them are basically unrecognizable to what we are working on today. Sure, the basics haven't changed but the details certainly have.

Re:What John von Neumann Did at Los Alamos by xLaszlo on Monday April 08, 2024 @07:11AM (#39968499)
Hungary had and still has a state sponsored "elite" education for gifted children. From a relatively early age kids are regularly tested (both materially and curiosity wise) if they are interested in "better" Maths. So they are prepared to a STEM trajectory.

You don't need to be a genius just reasonably good and interested. I would think 10% of all kids take part.

Check out UKMT for the equivalent in the UK or Kangaroo competitions.

Secondary schools has a 130! year old journal (KOMAL) for competition Maths (again various difficulties) but those who go on to become mathematicians (an extremely selective subject in Hungary) pass the hardest tests as well.

So Hungary has various levels of gifted children support programs and has it for the last 100+ years (across 3-4 different government structures)