Censorship in America

I’ve had the pleasure of reading the comments on Disqus of Bob Sykes, a baby boomer who, according to himself, has been an engineering professor for 37 years, at OSU if I remember correctly. He comments mostly on military technology, China, North Korea, race relations in America, and other political issues both internal and external to America. You can tell easily that he has some rather “radical” views. Like, he believes in segregation, to the extent that he thinks we should have segregated colleges. Now is he actually serious or is he employing the humor of hyperbole. He will also say:

Face the facts: the Anthem, Pledge, Flag, Declaration and Constitution are WASP male symbols. Blacks, Jews, Asians and Mexicans are not and cannot be Americans. America is and always will be WASP country.

I for the most part agree with what he says, when taken less literally and with some de-magnifications perhaps. He’s also pretty fucking funny. (If not, I wouldn’t be reading him ;))

I did see this morning this comment of his:

For almost a generation, Chinese students have dominated enrollments in our major STEM departments. They are an absolute majority of the students enrolled in most STEM programs today, especially mathematics and computers, engineering, physics and chemistry. And that is true even of our most elite STEM schools like MIT.

This has been a nearly zero-cost endeavor for the Chinese. At any decent STEM program all (as in ALL) of the graduate students are supported by the research programs they work for. That includes tuition, fees and a comfortable stipend. Support for graduate students is what distinguishes good graduate program from a mediocre one. The good ones have ample externally funded research programs; the mediocre ones don’t.

This investment shows up in many areas. China can put men into space; we can’t. China has many more super computers than we do, and they have the fastest supercomputers. Those machines are entirely home grown, from the chips to the operating systems. China also has the largest and most diverse manufacturing sector in the world and the largest infrastructure sector. Its nearest rival in terms of manufacturing diversity (but not size) is Russia. If China does succeed in integrating Eurasia into one economy, they will be the de facto world hegemon, and we will be a region power.

And I drafted and submitted a response:

You seem to overestimate China and Chinese in STEM a bit, though surely, the American mainstream tends to downgrade it. I know and talk with a guy, a very talented MIT student, who thinks rather lowly of China. Pollution, human rights, very few top mathematicians and scientists, yada yada yada. It is surely the case that even now most of the very elite STEM people of Chinese descent are in America, working in American universities or benefiting the American economy massively in American companies. It also does appear that at the highest levels, Chinese are still very underrepresented in many fields.

America is still quite a ways ahead in terms of sophistication of technology. You say China’s supercomputers are homegrown entirely, including the chips, but China’s best chip, the Loongson, is still far from the level that Intel has. Also, China has been struggling to manufacture high quality jet engines, which it has to buy from Russia, and in that, America, with Pratt and Whitney, is a generation ahead. These are examples of the most difficult technologies where China is still quite behind.

In a field I’m more familiar with, computer science, there’s no way China is anywhere close overall. See http://dubfuture.blogspot.c…. Almost all the important and foundational software systems, from the widely used programming languages, to Linux, to distributed systems, to git, have been developed in the West, and China is merely using them. I don’t see many Chinese, including those in America, creating complex, widely used open source tools yet.

China also is nowhere near competitive in the global automobile market.

So, too many glaring weaknesses. In China, people see themselves as scientifically and technologically behind, though that’s been changing. They even believe to a non-negligible extent that the Chinese education and system is ill for creativity, which seems to me way overblown, which the American mainstream promulgates, as did the professor who wrote the essay linked above.

I’ve gone through all my schooling in America, and I read Chinese online regularly, so I know a bit about China including its education and STEM, and this gives me an unusual double lens. I honestly think that American STEM education up to the undergrad level is a complete joke, and I realized this on a gradual basis. I eventually realized, starting from high school, that I had to learn on my own, as the school system by itself produces people who are not at all competitive. The American high school and college admissions system and even college is full of inane, time-wasting artificial nonsense. It has much to do with that the fact that students are simply too dumb nowadays, without selection at the high school level, which is done in most other advanced countries, including China, including Germany. There is also a ton of ideological BS within the American system, one that prides itself in vacuous democracy and freedom of speech; I’ve gone through American English and history classes to know the nightmare.

I do think though that in America, there is a sizable contingent who manage to really excel in spite of this morass, through independent learning and research, and by the graduate level, the American system is for the most part top notch. At the very top, the non-Chinese still have an edge, and that arguably extends to the younger generation as well.

By the way, how much discrimination do you see against Chinese in hard STEM fields (that does not include biology, in which it most certainly does exist). A friend of mine, a pure American, suspects that there is some pro-Jewish bias in academia right now in America, and that even in something like math, those mainland Chinese have to be better than those Jews to obtain equivalent positions. It’s hard to say. It does seem that Jews produce the most revolutionary thinkers and scientists if you look at the giants of math and theoretical physics. On the other hand, within the younger generation, Chinese are dominating the contests and Olympiads, which are 100% objective, fair contests. One ought to remember that in the older generation, China was quite poor and the Chinese came as immigrants with no money in a very foreign culture, a stark contrast to what the Jews, who are basically white European, have experienced. I’ve seen many very intelligent Jews say complete nonsense about China, more or less echoing the braindead mainstream American media, and I’ll go as far as to say that the Chinese cognitive elite does appear to be far less “full of shit.” It could be that the older generation of Chinese, to the extent that it underperformed, did so mostly out of discrimination and/or lack of resources and opportunity, or it could be that there is a relative dearth of Chinese talent wise at the very highest (say +4, +5 sigma) levels. We’ll see.

And Disqus marked it as spam!

Was it the Disqus system itself or was it some moderator of whatever forum this was, who decided that my writing was too un-PC to be publicized?

Japan

I watched part of this documentary on Japan in WWII. It is a very high quality one, with many personal remembrances of various Japan individuals, from high-ranking politicians and military men to schoolchildren, on their experience spoken in Japanese accented English. (No film experience on my part, but I can most certainly guess that many if not most of those were acted as opposed to real.) I believe it depicted rather realistically the Japanese perspective of the war.

Many individual Chinese openly express detest of Japan for obvious reasons, and in China, it is in some sense taught that Japan is pure evil. Kids will believe that. As one matures, one can of course develop a more realistic and less emotional perspective on the matter. Of course, there are many in China with family members who were killed or suffered tremendously under Japan, which has the most barbaric military culture of any country in the world, and thus, the reaction to Japan is bound to be traumatic and emotional, especially for the older folks.

I actually know little about Japan and am eager to learn more. I’ve never been there, aside from the Narita airport, which doesn’t count. I am increasingly impressed by Japan, by its ability particularly in science and technology. There is the popular stereotype (in China as well) that Japanese are uncreative copycats (they stole Chinese characters) and later they modernized learning from the West, but such is obviously not so given the plethora of original, and in some cases groundbreaking, creations by Japan since they have been an advanced country, which one can put as the 1930s. The masses see directly Japanese cameras and cars, and also their anime, and the elite intelligentsia are well aware of their contributions to pure science (on that, Japan has won sizable chunk of the Nobel prizes since 2000).

Japan modernized very rapidly and successfully with the help of the West. At that time, which was second half of 19th century, it was clear that the West was leagues ahead, having developed modern science, and later modern, industrial technology. By then, not surprisingly, Japan was obsessed with learning from the West (seeing what the defeated and colonized non-Western people of the world, especially China, were suffering), and initially, for good reason, Japanese were not sure they could ever compete with Westerners. As they made progress, doubts on that gradually dispersed, and expectedly, Japan defeated China in 1895, which devastated the Chinese national psyche much more so than did the repeated losses to the Western powers did, on the basis that China historically had always seen Japan as this puny country much as its vassal, which had relied on her as its cultural mother. Needless to say, Japan became the undisputed king of Asia after that, taking over both Taiwan and Korea. Japan experienced a tremendous boost in international status and confidence in itself when it prevailed in the Russo-Japanese War in 1905, against a white, Western power, which was a huge deal at the time when white supremacy was the norm, for good reasons. That also inspired greatly the so called colonized and subjugated colored peoples of the world.

Nonetheless, the Western powers refused to treat Japan as an equal. From my limited knowledge, they made it such that Japan, despite being the victor, did not get very favorable peace terms. The same was in the aftermath of WWI. Japan was obviously resentful that the West treated it as inferior despite all the evidence that Japan was as advanced and competent as the West was, and perhaps more so in some respects. I still recall reading in this silly American grade school textbook: “Japan beat the Europeans at their own game.” So, Japan, very naturally, viewed WWII as a necessity to further prove and assert itself, and justified it on the basis of liberating Asia from Western colonialism and domination. Even though Japan lost that war, it had demonstrated itself more than formidable in cases such as the Battle of Singapore, fighting a fully modern war centered on Navy and Air Force that they lost largely owing to lack of resources and men, such that the West could not but recognize it, despite their being foreign and a latecomer.

Again, post-war, Japan stunned the world with their “economic miracle” that is well represented by the pervasion of its cars and electronics through global (that includes first-class, Western) markets, and it is regarded by many in the West familiar with it, such as Jared Taylor, as one of the best run places on earth. There was some panic in the 1980s in America pertaining to that.

It is apparent that now, Japan, as impressive as it is, has peaked, having endured a so-called Lost Decade and faced competition against its high-tech products from South Korea and now China that cut away some of its market share, further contributing to their decline in economic growth. Still, in absolute terms, it is without doubt that Japan is very high up.

We all know in WWII, Japan easily took over China’s cities with modern against primitive, and it could not win the war against China mainly due to the vast size, as well as the geographic barriers, of mainland China, coupled with their being outnumbered. It was impossible to Japan to control the smaller, rural areas in China, where there was of course a popular anti-Japan resistance. I find it rather ironic that it was China, as weak and backwards as it was, managed to fight America to a stalemate, winning the North Korean side of the war, only 6 years after the end of WWII, when there were still like a million Japanese soldiers in China. That war though, in stark contrast to Japan vs America in WWII, was mainly a land one, one where numbers and human fighting ability mattered more and military technology less. Owing to that, China faced a very different and much fiercer international discrimination and obstacle than Japan had, but it was able to triumph through it miraculously, and that was a much more of a miracle than the Japanese post-war economic miracle. In 1964, China became the first Asian nuclear power. Though at that time, China was still for the most part behind technologically, it is fair to call that the point when China reclaimed its position as the leader of Asia from Japan. China is obviously much more of a threat to the West given its size, not possessed by Japan, as well as its having had its formative years modernization wise entirely in defiance of the West under an economic embargo, after the US was forced to officially treat it as an equal in the Korean Armistice Agreement. China is much indebted to the Soviet Union, which suffered a very sad, tragic demise and further economic disintegration by taking ridiculous advice of Western leaders eager to ruin it, for the generous aid it provided to China in the 1950s, the decade when the critical foundation of modern China was built. Though there was a Sino-Soviet split, with the two in direct conflict a decade later, the immense contribution of the Soviet Union to China’s current success was a decisive factor and cannot be overstated. I believe that the ties between China and Russia are so strong and friendly today largely due to this, which the Chinese people remember well.

Though primarily an (autistic) math nerd, I do take a casual interest in power politics, as you can tell, and I have developed somewhat of a cynical attitude towards it. It is perhaps deep embedded in our human DNA for powerful groups and tribes to want to rule the world. You can see this with the (rather rogue, and also getting outdated) attitude that the American neocons and British empire nostalgists (for lack of a better word) towards international affairs. They are stupid and let their own exceptionalism delude themselves such that they demand the entirely unreasonable and refuse to give credit, in an utterly egregious way, to those they don’t like. For example, they won’t acknowledge, far from it, that it was mostly the USSR who defeated Hitler, which is obvious. They, being as powerful as they were, could sort of get away it, but now that time is past, with the rise and catching up of the rest of the world, China in particular. We all know that powerful individuals or nations generally don’t get along well and exhibit mutual distrust. It’s not uncommon for the most powerful to use a less threatening competitor against its primary competitor, and such is natural behavior. However, the US and the British do it too nastily without shame, and spread the most ridiculous propaganda that is patently false, not respecting history at all. There is also the entitlement to trample and enslave the weak without any reservation whatsoever that is patently manifested in that elite ruling class today. Take a look at the following picture, of Kate Middleton (with Prince William) in Tuvalu, which I will let speak for itself.

Kate-Middleton-carried-elevated-chair-upon-arrived

We all know that it is a human tendency for the rich and powerful to oppress and exploit the poor and marginalized, as has happened throughout history, just about everywhere. Aspiration for status is in our genes, and any social group operates on a hierarchy in some form or another. There will always be winners and losers, superiors and inferiors. But, this could be done in a more benign way than what is reflected in the above photo, which shows devoid of virtue the Anglo elites in the global “leadership” position they cling onto today, in desperation.

Innate mathematical ability

This morning I had the great pleasure of reading an article on LessWrong on innate ability by Jonah Sinick. Jonah has been one of my greatest influences and inspirations, having interacted with him substantially. He is unusual in one of the best ways possible. I would not be surprised if he goes on to do something extraordinary.

When I catch up with Jonah, I like to talk with him about math, mathematicians, and IQ, which happens to be what that article of his on LessWrong is about. 😉 That article resonates with me deeply because I myself had similar experiences as he did. It is hypothesized by me that I was also twice exceptional, albeit in different ways, with its effects compounded by my unusual background, all of which mediocrities within the American public school system are not good at dealing with in an effectual way.

This writing of Jonah has brought forth reflections in my own mind with regard to mathematical ability, development, and style. I’ll say that as a little kid under 6, I was very good at arithmetic and even engaged in it obsessively. However, by age 8, after two years of adjusting to life in America starting off not knowing a word of English, I had forgotten most of that. I was known to be good at math among the normal normal students; of course, that doesn’t mean much. In grade school, I was not terribly interested in math or anything academic; I was more interested in playing and watching sports, particularly basketball and baseball.

I didn’t have any mathematical enrichment outside of school other than this silly after school math olympiad program. Nonetheless, I managed to test into two year accelerated math once I reached junior high, not that it means anything. In junior high, we were doing this stupid “core math” with graphing calculators and “experiments.” I didn’t realize that I was actually a joke at math until I failed miserably at the state mathcounts contest, having not prepared for it, unlike all those other tiger mommed Asian kids, who to me seemed way beyond me at that time. It only occurred to me that I might have some real talent for math when I made the AIME in 10th grade, taking the AMCs for the first time, being one of four in my high school of about 2000 to do so. I thought it was fun solving some of those math contest problems, which were more g-loaded, with an emphasis on the pattern recognition side.

It was after that I started to read up on the history of mathematics and mathematicians. I taught myself some calculus and was fascinated by it, not that I understood it very well. But I could easily sense that this was much more significant than many of those contrived contest problems, and soon, I began to lose interest in the contest stuff. It was also after that that I learned about proving things, which the American public school math doesn’t teach. I finally realized what mathematics is really about.

Like Jonah, I had some difficulties with careless errors and mental organization. I don’t think my raw intellectual horsepower was very high back in high school, but fortunately, it has improved substantially since then that it is for the most part no longer the major impediment.

I took calculus officially in 11th grade, and it was a breeze for me. I could easily compute the areas and volumes and such but the entire time, I felt quite dissatisfied, because I could not actually understand that stuff at a rigorous, theoretical level as I poured through our textbook that went up to vector calculus during lecture, which was rather inane, expected if one considers the mismatch between cognitive threshold relative to the distribution of ability of the students. I knew from reading online the rich world of math far beyond what we were covering, most of which I was not intellectually mature enough to access at that time. However, I vividly remember during summer after 11th grade, while attending a math summer program, I was able to comfortably write out the delta epsilon definition of limit with understanding of why it was reasonably defined that way. Still, I would say I was still quite weak in terms of both my mathematical maturity and overall intellectual ability. There were too many things I wasn’t aware of, including the g factor, that I easily would have been had I been higher in verbal ability, which would have enabled me to read, absorb, and internalize information much more rapidly and broadly. In contrast, Jonah had discovered independently, or so he says, the lack of free will at the age of 7!

I made some incremental advances in my math knowledge from reading and thinking outside of school the next year. As for contest math, I almost made the USAMO. Though I had improved, I was still not terribly quick and careful with solving contest style problems and doing computations. I think close to graduation, I also solved some Putnam problems.

Only in undergrad did I learn real math more seriously, but even there, nothing too advanced. US undergrad is a joke, and I also was one, just to a lesser extent than most of my “peers.” Almost certainly, Jonah, based on he’s told me, had gained much deeper and broader knowledge at the same stage, from the reading works of giants like Euler and Riemann.

I’ve noticed how there are a lot of Chinese-(American) kids really into those high school math contests, and they now also dominate USAMO and Putnam (though careful, as in the latter, there you’ve got some of Chinese internationals drawn from the elite from China). I will say that at the lower levels, many of those kids have some pretty low taste and an inability to think outside the system that would enable them to discover the existence of real math, as opposed to this artificial math game that they enjoy playing or are pressured to doing so for college. Though those contests have a high pattern recognition component to them, there is not really much depth or substantial math knowledge. It is also my belief, with reference to Jonah’s article, that math contests are mostly M loaded while real math is more V loaded. So this behavior is consistent with the lopsidedness in favor of M and perhaps also short term working memory of Chinese students. It has also been Jonah’s belief that controlling for g, these contests select for low taste and value judgement, and I surely identify with that perspective. So maybe college admissions are somewhat fair to assess an Asian penalty?

Of the thesis of Jonah’s article, a representative figure is Terry Tao. There, Jonah also pointed out that Tao’s research in math is more concrete and problem solving oriented by pure math standards, in line with what appears to be the same lopsided (modulo the absolute level, as Terry is a far far outlier) cognitive profile of his based on testing at age 9 and 10. Again, people enjoy what they are best at, and though, Terry Tao is almost certainly at least +3 sigma at verbal, he is far more rare, at least +5 sigma, a real übermensch, in the (in some sense dual) pattern recognition component, which means he leans towards the areas of math more loaded on the latter. I have heard the saying that even other Fields medalists are intimidated by Terry Tao. The breadth and volume and technical power of his work is almost unrivaled and otherworldly. The media makes it seem like Terry is a league above even the other Fields medalists. However, Jonah seems to believe that the deepest and most leading of mathematicians are the ones who are more theory builders, who create through leaps of insight and synthesis new fields and directions that keep mathematicians busy for decades, and even centuries. That would be say Grothendieck or SS Chern, and an ability that is more loaded on verbal ability, crudely speaking. Again, I have felt the same. This might explain why the advantage of Chinese students is not anywhere near as pronounced in math research as in contests, and why some people say that generally speaking, the Chinese mathematicians are more problem solving and technical than theoretical, more analysis than algebra. Likewise, we can predict the opposite for Jews who are skewed in favor of verbal. A corollary of this would be that the Jews produce the deepest thinkers, adjusted somewhat for population, which is almost certainly the case, if you look at the giants of mathematics and theoretical physics.

I’ll conclude with the following remark. I used to revere somewhat those who placed very highly on those contests, until I realized that many of them are actually somewhat weak in terms of deep understanding and thinking at a more theoretical level. Yes, I have met MOSPers who got destroyed by real math and who are not very intellectually versatile, with glaring weaknesses; I was quite surprised initially that even I seemed to be smarter if not a lot than some of them. Once upon a time, I couldn’t understand those who appeared very strong at real math (and often also science and/or engineering and/or humanities) who struggled with more concrete math and/or contest-style problem solving, like Jonah, who has written on LessWrong of his difficulties with accuracy on the trivial math SAT. I’ve met this other guy, who I thought was an idiot for being unable to perform simple computations, who is leagues beyond me in the most abstract of math, who writes prolifically about partially V-loaded areas of math like model theory. Now, the more metacognitive me has awakened to the reality that I may never by deficit of my neurobiology be able to fathom and experience what they’re capable of. After all, there are plenty I am almost certain are and are essentially doomed to be very delusional by nature relative to me, and since I’m at the far tail but not quite so much, there are bound to be people who view me the same. I can only hope that I can become more like them through some combination of exposure and organic neurobiological growth, but I as a realist will not deem that very likely.

More on Asian stereotypes

I just stumbled upon this wonderful essay by Gwydion Madawc Williams on why the Ming voyages led by Zheng He (郑和) led to nothing. The quote of it particularly memorable to me was this:

The separation of craft and education as represented by China’s illiterate shipwrights was indeed a genuine weakness in the Chinese system.  Christian Europe always remembered that St Peter had been a fisherman and St Paul a tent-maker, and it was quite acceptable for learned people to also be involved in manufacturing.  The weakness of Confucianism was not so much that it rated agriculture and craft above merchant trade, but that it insisted on the educated being a learned caste distanced from all of these matters.

Again, it’s the Asian stereotype of being a study hard grind lacking in practical, hands-on skills and “well-roundedness” and “social skills” and all that that admissions officers use to justify denying Asian applicants. I’ll say that from what I know, that is still very limited, Confucianism was very much like that. The quote that epitomized this was: 劳心者治人,劳力者治于人, which translates to roughly “the worker of the mind governs, the physical worker is governed.” The whole imperial examination system essentially created an upper class of bookworms for whom any form of hands on labor was beneath. To be a true 君子, gentlemen, you were supposed to study the classics and write poetry and engage in all that Confucian bull shit. I myself don’t have a very high opinion of Confucianism. It’s too conservative for me, with all the emphasis on ritual and filial piety. It discouraged any form of innovation outside the system, outside what was already there, which is partly why China could not make the giant leaps in science that the West did. I’ve read some of the Analects of Confucius and know some of the quotes, and I don’t think Confucius was a deep philosopher at all; there is little actual substance in what he said. On the other hand, Mo Tzu was a much further reaching, more scientific, and surprisingly modern thinker, and had China followed his path instead of banishing his school of thought into obscurity, the world would be completely different now, with China likely having made many more leaps of progress than it had actually done. I’ll say that the West was able to escape the shackles of Christianity, but China could not by itself escape those of Confucianism, until its dire situation, with reached its nadir in 1900, forced it too.

Apparently, the elite college admissions officers aren’t terribly good at filtering out the real Asian grinds either, as I know one who went to Princeton, who I found ridiculous. He said that all he did in college was study, and even though he majored in math, he hardly knew any. Like, he didn’t know what a topological space is. When I went ice skating with him and some others, he was near the edge the whole time, and he characterized my skating backwards (not well at all) as “scary.” I told him I’m not very athletic and wasn’t even any good, unlike the girl he was dating at that time, who could do spins among other fancy “figure skating” things she was trying out. I did show him the video taken of this 360 somersault I did off a 15 feet cliff in Hawaii, into the water, which was the first time I had done anything like that. He was like: “that’s so scary.” I honestly didn’t know what to say. To justify himself, he was like: “Chinese parents only want their kids to study.” I told him that in China, there are some very athletic people who attend special sports schools. On that, he was like: “but those aren’t normal people.” I also remember when we went camping once, everybody else got drunk, so I got to drive that kid’s BMW back. He had told us that his father does business in Beijing, which might explain why he drives that kind of car. He came to US at age 4. His Chinese is absolutely awful though, and he doesn’t realize it. He will of course say: “I already know enough. Some people can’t even speak it.” 怎么说那,不仅是个书呆子,而且是个书都读不好的书呆子,连这样的sb还都被Princeton录取了。I’ve talked with one of my very smart Asian friends about this, and he was like: “but he’s socially normal, unlike us.” And more recently: “Maybe they do accept Asian grinds, just not the ones with bad social skills.”

From what I’ve seen, there are plenty of super conformist Asian grinds like him, but there are also many who aren’t, who are actually smart and interesting, like myself (or at least I hope). I think what he said about Chinese parents is somewhat true actually; after all, I saw many growing up. They do see academics as a way to get ahead more so than others, largely because in China, to get out of your rural village and/or not be stuck with a working class job, you had to do sufficiently well on the gaokao to get into a good major at a good university. It’s funny that I’ve actually seen a ton of ignorant, narrow-minded, and risk-averse uncool tiger Chinese parents. And I have also seen some extremely impressive ones, not just academically. There is again quite a wide range and variety.

There is a phenomenon I’ve witnessed, which is that if a person is extremely strong at X and merely above average at Y, then that person will seem weak at Y, even compared to another person about as good at Y but less lopsided. It seems a natural human cognitive bias to think this way. This is in fact applied rather perversely to Asians in stereotyping. For example, Asian students are perceived as weak at language and humanities because they are generally stronger at STEM. We all know that in fact math IQ and verbal IQ (which we can use crudely as proxies for STEM ability and humanities ability respectively) are highly correlated, which makes it highly unlikely that a STEM star is actually legitimately weak at humanities. He might not be interested in reading novels and such but that’s rather different. There is also that humanities is more cultural exposure loaded with a much higher subjective element to it, with much less of a uniform metric. It actually seems to me based on personal experience that is by no means representative that in terms of precise use of language and the learning of foreign languages, mathematicians and theoretical physicists are at or near the top in terms of ability. On this, I will give an opposing perspective that I identify with somewhat, which is that even if you’re very strong at Y, having an X that you are significantly more talented at is a weakness for Y, because engaging in Y deprives the joy derived from engaging in the X, which often leads to loss of interest over time. Maybe this is why employers shy from hiring people who they deem “overqualified?” On this, I have thought of how possibly the lopsided cognitive profile in East Asians (with what is likely at least 2/3 SD differential between math/visuo-spatial and verbal, normalizing on white European scores) predisposed the thinking of the elite (assuming that lopsidedness is preserved at the far tail) as well as the development of that society at large in certain ways, some of which may have been not the most conducive for, say, the development of theoretical science. This is of course very speculative, and I would actually hypothesize that the far tail cognitive elite among East Asians is more balanced in terms of the math/visuo-spatial and verbal split, given the great extent to which the imperial examination system, which tested almost exclusively literary things, selected for V at the tail instead of for M.

On the aforementioned bias, I’ll give another illustrative example. I once said to this friend of mine, a math PhD student, not Asian, how there’s the impression that people who are weaker academically tend to be better at certain practical things, like starting restaurants and businesses. We sure all know there are plenty who weren’t good at school but were very shrewd and successful at business, at practical things. That guy responded with reference to Berkson’s paradox. He said something like: “That’s because you are unlikely to see those who are bad at both. They tend to be in prison or in the lower classes.” I could only agree.

I’ll conclude with another more dramatic example. I used to, when I knew nothing about the subject, think that people who were really at math were weirdos and socially awkward. For one, there was this kid in my high school who was way better than me at math at the time, who was incredibly autistic. Also, summer after 10th grade, I saw Beautiful Mind, which depicts the mathematician as mentally crazy. Now I would bet the incidence of schizophrenia among the mathematically gifted is lower than it is in the whole population. It just happens that certain combinations of extreme traits are vastly more noticeable or exposed by the media to the public (a mathematician or physicist may think of this as weighing those with such combinations with a delta function, or something along that direction at least). I wasn’t quite aware of that at that time though. Only later, after meeting more math people did I realize that math people are not actually that socially out of it in general, far from it, at least once they’re past a certain age, by which they will have had the chance to interact with more people like them and form their own peer group.

It is my hope that people can be more cognizant of these biases described in this blog post.

 

四海翻腾云水怒,五洲震荡风雷激

昨天,我的俄罗斯(或取苏联代之)товарищ,那位本科认识,才华超众,现已明格罗滕迪克(Grothendieck)的工作的,脸书上发给我一张图片:ChinaWonTime

后在得知此来自Time Magazine的刚发布的一篇文章,想这是Time Magazine啊,美国很有威望的畅销杂志。在那儿,闻到中国竟然已在非洲东北岸的吉布提(Djibouti)建立了头一个海外的军事基地。但对我印象最深的文章最后段,为:

The China striding into that spotlight is not guaranteed to win the future. In this fragmenting world, no one government will have the international influence required to continue to set the political and economic rules that govern the global system. But if you had to bet on one country that is best positioned today to extend its influence with partners and rivals alike, you wouldn’t be wise to back the U.S. The smart money would probably be on China.

这是美国,对,美国(!!!)的主流媒体,竟然会这么说,令我吃惊,因为不用说,我么都习惯了美国媒体带有政治偏见的那一套的同时说中国怎么怎么不行,问题障碍如此之严重。看来真的,中国成为世界绝对一把手,在2017年末的这一天,不仅非遥远无可想象,而是所料当中了。同时,在历史一直低估怀疑中华人民共和国的情况下,还真能想象到续几十年,遥遥领先,使外界望尘莫及。我也有想过中国人过去在物质条件极其劣势,外来的歧视极其恶略的情形之下,都有了不少成就,有些让外眼彻底震惊,有了充分的财力支撑能够多么可怕。中国人天分很高,又有数量,又是在内分歧相对少的一个民族,一个文化,领导人又不是傻子,可建立多么效率超高,思想丰富,创新异彩的社会和国家啊!

这些使得我回想到我近几年学到的一首给我留下深刻的印象的一首诗的一句,为此博客文章的主题。“四海翻腾云水怒,五洲震荡风雷激”,这是多么激情豪迈,万能无阻的诗句形象啊!而这不就是当日的中国与世界吗?此诗《满江红·和郭沫若同志》创于1963年一月,那时中印战争刚结束,中国已在国际形势对其非常不利的情况下走出三年困难时期,毛主席号召中国和全世界革命进步人民“扫除一切害人虫”,奋勇前进,创造人类新纪元。可是这只取得了最多一半的成功。相反,今天,继承走向人类逃出剥削精神麻木的伟大事业的中国,与往年贫穷落后隔离不同,通过几十年的发展和积累,随着不断地开放,已经具有浓厚的经济资源和先进的科技经验,纵横全球,力量无穷。还想起,诗的上段,”蚂蚁缘槐夸大国,蚍蜉撼树谈何易“,不是用以讽刺性的藐视当时被干脆收拾的自作聪明,不自量力的印度和他的支持者吗?同样,在今天的世界,此妙语所指的对象就是以小人无比,阴谋诡计的方式,企图阻止中国崛起的,文化低贱,贪得无厌,妄想霸权世界的美国保守派及其走狗。这些人的声音和实力和他们所有的威信在不断减小,总会有一天,人类的进步将把他们带到边缘,化成历史的破产。

无话多言。中国赢了。历史新篇章即将来临。太平世界,寰球同此凉热!

On China

I’m talking to that 犹太IMO金牌 again. I first asked him if he knew the Riesz representation theorem, the statement of which I saw today. He said he used to. Then I brought up Shizuo Kakutani, who was quite a genius mathematician, who created some generalization of the aforementioned theorem or something like that. His daughter Michiko is also a distinguished writer. On that I said:

Lol I haven’t gotten to meet many Japanese
They don’t emigrate much nowadays, so patriotic
They’re so well organized and efficient
Produces lots of top mathematicians too

He responded with “china weak.” And “china deserved to get fucked by japan.”

On that, I was like:

Haha
China was super weak back then
Of course, the situation has reversed/is reversing
China is still behind Japan in many advanced areas, but it’s just a matter of time
Japan lost to America in WWII
China on the other hand could defeat America in the Korean War
Thanks to communist ideology

He said that “china did not defeat america.” I responded:

It was a stalemate whatever
But China proved it could get even with number one in the world
When she was still very behind
In any case, in the war in North Korea, America clearly lost, America had to flee
If China had better logistics and equipment probably could’ve taken over the entire Korean peninsula
Because of the Korean War, many of those top Chinese in STEM in America returned
There were negotiations as America knew if they let them return these people would serve their enemy
People contrast that to the brain drain after reforms
The younger generation of Chinese do not have the type of selfless patriotism that the older generation did
Lol you don’t like China
I think America lost its best chance to bring China down, that was during the 89 protests
That was actually kind of close
It’s quite remarkable that China recovered so well. When you’re down, it’s really hard to get back up.
In any case, by 1970s, people in China knew that the most difficult/critical period was past.
And that China had succeeded at it
It’s like earning money, the beginning is the hardest, once you’re rich and high up, it’s almost impossible to fail

He says: “fuck china. china anti human rights.” It’s funny how so many people say that, and I believe privately, or not so much, many in the world have a rather low opinion of China. Though I’m Chinese, I wouldn’t say I really care; it’s just a perception as far as I can tell, not something that can be objectively defined. When I grew up in America, I kept hearing this negative stuff about China and was wondering what was going on. Back a decade ago, China was much less developed than now, and perhaps because of that, the bashing sometimes feels to have subsided quite a bit now compared then, but maybe not, considering that even a guy like him will say that. Whether he genuinely believes it, that is another matter.

On this, I’ll give some of my thoughts. Recall that I said in my chat with him: “when you’re down, it’s really hard to get back up.” This is in general, it applies to individuals as well, with unemployment and such. In the context of the chat, I was referring to the century from 1850 to 1950, when China kept being beaten and made little progress when the rest of the world was advancing rapidly, including China’s foe from the East, Japan. Back then, many intellectuals desperate believed China to be hopeless and on that, even advocated the abolishment of Chinese characters. I believe China was very fortunate to get out of that, as it could have easily been much worse. The international situation, in particular the world’s having been exhausted after WWII destruction, gave China the opportunity to win the civil war, ending a century of violent internal strife that had severely hampered development. The Korean War did much to help Chinese regain their confidence. It proved Chinese military ability for the first time in modern history, much needed at the time, and America blundered by letting China do so. The 1950s was a golden period for China, during which with Soviet aid, China modernized essentially, developing the industrial foundation that even after the Soviet Union withdrew its support for China, though it had a significant negative effect on development, China was able to do okay. In the 60s, the international situation was very unfavorable for China, but by 1970, China was high up enough in terms of capability that America had no choice but to recognize it, seeing that there was no way the old regime in Taiwan could retake the mainland. At that time, China was still extremely poor standard of living wise, but there was already a fair degree of technological sophistication. China was also very lucky not to suffer the demise that the Soviet Union did that is literally impossible to recover from. Why that did not happen, why America did not succeed in 1989 in bringing China down, is a very complex question. The Chinese elite were not as foolish as the Soviet ones. Since then, China has made tremendous progress in terms of developing economics and standard of living and also STEM, and though of course, China is still behind in certain areas, it is only a matter of time as many believe before the gap closes. Throughout the last 60+ years, these “experts” have doubted the PRC, but the PRC keeps proving them wrong. Maybe these “experts” should stop deluding themselves on many matters.

I’ll give my personal opinion. I believe that every individual, every nation, should develop in a way that’s most suitable for them. Copying someone very high up blindly usually leads to disaster, because that high up person is genuinely well equipped enough to do what you are realistically unable to presently do. Instead, try to find something that hasn’t been tried before without large risks that you have an argument might be successful for you. This was exactly what China did and is still doing, so far to great success. China was lucky to switch its system at about the right time compatible with its circumstances. In the 1950, China was emerging from a century of war and stagnation, and the odds seemed so against her. Many could not believe that the communists would win the civil war, as ill equipped as they were. They did so, according to many, by developing a unique way of combat. It shocked the world that with it, China, avoiding its weaknesses, was able to succeed against the most powerful country in the world at war. China had no air force or navy at that time, with the exception of what of that had just been provided to China by the Soviet Union. China also made the right choice of using the Stalinist style economy that had already been proven to be successful in the Soviet Union, which enabled her to modernize very rapidly in a decade. China, as far as I can tell, had no intention to go to war with America and no expectation that it would. If not for MacArthur’s foolish and miscalculated decision to invade North Korea, China probably would have established normalized relations sooner or later and would not have leaned so one-sidedly towards the Soviet Union, and would not have taken such extreme measures at home subsequently. Another major success was that China was able to establish relations with America before Mao’s death on relatively good terms, owing to the capability China possessed at that time in addition to that threat posed to China by the USSR brought about common interest between the two. China did not stick to the old planned economy, instead embarking on a mixed economy with gradual proliferation of private enterprise, seeing perhaps that it was past the stage when the Stalinist style economy was needed. At the same time, China did not fall for the market fundamentalism that America has, and simultaneously, China kept its faith in developing a political-economic system suitable for the stage that it was at amidst enormous pressure, especially after the death of the USSR brought about a tide of “the end of history” in international political thought. Now China seems to be doing quite well, with rapid development economically and also in science and technology, and about to become competitive at the forefront in arenas at which she had been seen as backward. As this happens, Chinese, with a deeply engrained inferiority complex, becoming more confident in themselves and in their system, which with political bias aside has many advantages, such as long term planning.

It is interesting how many very intelligent people in the West, including the person I mentioned in this very post, believes some rather peculiar notions on China related matters. It still puzzles me where they’re coming from with all that. They can not like China or see China as a threatening competitor (and I won’t be offended by that, as people are entitled to their own view), but they should still try to be objective, as unpleasant as the facts may be for them to bear. Penalizing someone or downgrading someone’s ability or accomplishment out of an antipathy for that person’s background or political/religious beliefs is the act of a little person, an insecure person. Also, when you discriminate against someone and they still beat you, it’ll only make them more formidable and yourself more insecure.

Last but not least, I’ll reiterate again that Anglo culture is still dominant across the globe, as a legacy of British colonialism as well as subsequent American supremacy. With that said, international discourse will necessarily be biased towards the interests of that group, an obvious fact that apparently still needs to be noted, and a rationalist would apply some correction to account for the bias. On the other hand, Chinese language and culture is still alien to most of the world, and a derivative of that is that there is much vital information accessed little outside of China of much more validity than what the Anglo media chooses to promulgate. I know that there are ones keen on using such means to alter political opinion and whatnot, so as to bring down a regime they don’t like, as was done in Ukraine in 2014, but these are rogue tactics that will eventually reflect badly on its instigators. Plus, time and time again, Chinese have proved not foolish enough to fall for these tricks.

Math sunday

I had a chill day thinking about math today without any pressure whatsoever. First I figured out, calculating inductively, that the order of GL_n(\mathbb{F}_p) is (p^n - 1)(p^n - p)(p^n - p^2)\cdots (p^n - p^{n-1}). You calculate the number of k-tuples of column vectors linear independent and from there derive p^k as the number of vectors that cannot be appended if linear independence is to be preserved. A Sylow p-group of that is the group of upper triangular matrices with ones on the diagonal, which has the order p^{n(n-1)/2} that we want.

I also find the proof of the first Sylow theorem much easier to understand now, the inspiration of it. I had always remembered that the Sylow p-group we are looking for can be the stabilizer subgroup of some set of p^k elements of the group where p^k divides the order of the group. By the pigeonhole principle, there can be no more than p^k elements in it. The part to prove that kept boggling my mind was the reverse inequality via orbits. It turns out that that can be viewed in a way that makes its logic feel much more natural than it did before, which like many a proof not understood, seems to spring out of the blue.

We wish to show that the number of times, letting p^r be the largest pth power dividing n, that the order of some orbit is divided by p is no more than r-k. To do that it suffices to show that the sum of the orders of the orbits, \binom{n}{p^k} is divided by p no more than that many times. To show that is very mechanical. Write out as m\displaystyle\prod_{j = 1}^{p^k-1} \frac{p^k m - j}{p^k - j} and divide out each element of the product on both the numerator and denominator by p to the number of times j divides it. With this, the denominator of the product is not a multiple of p, which means the number of times p divides the sum of the orders of the orbits is the number of times it divides m, which is r-k.

Following this, Brian Bi told me about this problem, starred in Artin, which means it was considered by the author to be difficult, that he was stuck on. To my great surprise, I managed to solve it under half an hour. The problem is:

Let H be a proper subgroup of a finite group G. Prove that the conjugate subgroups of H don’t cover G.

For this, I remembered the relation |G| = |N(H)||Cl(H)|, where Cl(H) denotes the number of conjugate subgroups of H, which is a special case of the orbit-stabilizer theorem, as conjugation is a group action after all. With this, given that |N(H)| \geq |H| and that conjugate subgroups share the identity, the union of them has less than |G| elements.

I remember Jonah Sinick’s once saying that finite group theory is one of the most g-loaded parts of math. I’m not sure what his rationale is for that exactly. I’ll say that I have a taste for finite group theory though I can’t say I’m a freak at it, unlike Aschbacher, but I guess I’m not bad at it either. Sure, it requires some form of pattern recognition and abstraction visualization that is not so loaded on the prior knowledge front. Brian Bi keeps telling me about how hard finite group theory is, relative to the continuous version of group theory, the Lie groups, which I know next to nothing about at present.

Oleg Olegovich, who told me today that he had proved “some generalization of something to semi-simple groups,” but needs a bit more to earn the label of Permanent Head Damage, suggested upon my asking him what he considers as good mathematics that I look into Arnold’s classic on classical mechanics, which was first to come to mind on his response of “stuff that is geometric and springs out of classical mechanics.” I found a PDF of it online and browsed through it but did not feel it was that tasteful, perhaps because I’m been a bit immersed lately in the number theoretic and abstract algebraic side of math that intersects not with physics, though I had before an inclination towards more physicsy math. I thought of possibly learning PDEs and some physics as a byproduct of it, but I’m also worried about lack of focus. Maybe eventually I can do that casually without having to try too hard as I have done lately for number theory. At least, I have not the right combination of brainpower and interest sufficient for that in my current state of mind.

一说起偏微分方程,想到此行有不少杰出的浙江裔学者,最典型的可以说是谷超豪。想起,华盛顿大学一位做非交换代数几何的教授,浙江裔也,的儿子,曾经说起他们回国时谷超豪,复旦的,如他父亲一样,逝世了,又半开玩笑言,“据说谷超豪被选为院士,是因为他曾经当过地下党。”记得看到杨振宁对谷超豪有极高的评价,大大出于谷超豪在杨七十年代访问复旦的促动下解决了一系列有关于杨-米尔斯理论的数学问题。之外,还有林芳华,陈贵强,都是非常有名气的这套数学的教授,也都是浙江人。我们都知道浙江人是中国的犹太人,昨天Brian Bi还在说”there are four times more Zhejiangnese than Jews.” 可惜我不是浙江人,所以成为数学家可能希望不大了。:(

两首诗

昨天,我学会背了两首中文诗,一首是杜甫的《闻官军收河南河北》,另一首是毛泽东的《沁园春·长沙》

聞官軍收河南河北

劍外忽傳收薊北,初聞涕淚滿衣裳。
卻看妻子愁何在,漫卷詩書喜欲狂。
白日放歌須縱酒,青春作伴好還鄉。
即從巴峽穿巫峽,便下襄陽向洛陽。

杜甫这首诗具体哪一点感动了我,此我难以解释,缺乏文学描述所需要的词汇,同时也还未形成任何诗人的口味。加上,我对当时的中国的历史和文化也几乎一无所知。这还是我学会的第一首杜甫的诗。相反,他的对偶李白的诗我会好几首,如《蜀道难》和《将进酒》。

与杜甫的不同,我对毛泽东的《沁园春·长沙》的能容可有更深刻的理解,由于自己对二十年代的中国的政治形势有过一定的阅读。

沁園春‧長沙
獨立寒秋,湘江北去,橘子洲頭。看萬山紅遍,層林盡染;漫江碧透,百舸爭流。鷹擊長空,魚翔淺底,萬類霜天競自由。悵寥廓,問蒼茫大地,誰主沉浮?
攜來百侶曾游,憶往昔崢嶸歲月稠。恰同學少年,風華正茂;書生意氣,揮斥方遒。指點江山,激揚文字,糞土當年萬戶侯。曾記否,到中流擊水,浪遏飛舟!

这首诗的形势明显跟《沁园春·雪》相同,前段绘画祖国的美丽江山,后段启发式的鼓励壮怀激情的爱国主义革命家,开辟新天地,粉碎军阀混乱之黑暗。也可以说,《念奴娇·昆仑》也有接近或类似的形状。同时也发觉到,原来孔庆东出版的那本描述及讽刺韩国的书的名字却引用的这首诗。

这几月,我在学习俄语,网上找到了毛泽东十八首诗的俄文翻译, 此中有《长沙》的。

Чанша

В день осенний, холодный
Я стою над рекой многоводной,
Над текущим на север Сянцзяном.
Вижу горы и рощи в наряде багряном,
Изумрудные воды прозрачной реки,
По которой рыбачьи снуют челноки.
Вижу: сокол взмывает стрелой к небосводу,
Рыба в мелкой воде промелькнула, как тень.
Всё живое стремится сейчас на свободу
В этот ясный, подёрнутый инеем день.
Увидав многоцветный простор пред собою,
Что теряется где-то во мгле,
Задаёшься вопросом: кто правит судьбою
Всех живых на бескрайной земле?
Мне припомнились дни отдалённой весны,
Те друзья, с кем учился я в школе…
Все мы были в то время бодры и сильны
И мечтали о будущей воле.
По-студенчески, с жаром мы споры вели
О вселенной, о судьбах родимой земли
И стихами во время досуга
Вдохновляли на подвиг друг друга.
В откровенных беседах своих молодёжь
Не щадила тогдашних надменных вельмож.
Наши лодки неслись всем ветрам вопреки,
Но в пути задержали нас волны реки…

阅此非太陌生,令余稍欣慰,表示己有进步,语言能力还不差,当然自己在这方面绝对没什么不得了。此俄语翻译,我还传给了我的几位苏联同志看了看。说起翻译,我昨天还把一段中文翻译成了俄文,至之至大学时给了我,在一个风气腐朽,无知无趣,在我另一位朋友形容为“如家具”的本科生漫天遍野的校园上,不少思想丰富及精神隐蔽的一位绝顶聪明又非昏迷于垃圾美国文化的童年来美的俄罗斯同学。我选择自学俄文大大出于本人本性对此语言及其文化发生的兴趣,但同时,他的鼓励及具体帮助也一直有了一定启发性的作用,有人可分享自己心灵所产生的美感,绝对有一定浪推飞舟的作用。

好搞笑的比喻

刚才看了一个李敖的视频,关于台湾的军费。在此,李敖提到台湾的从美而来的武器装备,非免费提供,而是购买的。评论里,有人将此形容为:美国摆明了“让狗看门,不但让狗自己买狗粮,还要拔狗毛抽狗血”。一看到我就哈哈大笑,描述的太好了!

这让我回想起我上小学中学,好几次有美国同学争论is Taiwan part of China,一般最终得到结论都是不是。不用说,他们所想的,无论如何,都不会改变事实,所以这种争论是毫无意义的,尤其在他们和当时的我对与历史客观具体事实的无知的情况下。基本在那儿,小学中学的历史课都是垃圾,尤其是在美国,因为老师水平一般不会太高,经常还会很差,比如在美国,好多历史老师会自以为是地将自己的主观偏见施加在学生上。孩子们都想得很简单,什么东西都用好与坏衡量,我也是。现在长大了,就知道好坏正邪非客观存在,但赢者输者是有的,无庸隐讳,败到台湾的蒋介石国民党就是极度的输者。

哪儿都有被洗脑的,洗脑定义为相信客观错误的过于某度,人。我自己小时候,如大多孩子一样,也是处于很洗脑的状态,毕竟小学老师讲的好多都是扯淡,加上父母也会讲圣诞老人之类的。理想的是,一个人随着智力成熟会多看,高质量的,文献,独立思考,客观严谨判断,从而将脑子里的洗脑物清洗掉,排泄掉,同时也克制控制自己的情绪,不允其干涉人的理性思维。在这一点,本人是有了大的进步,而且我相信它的导数,随着时间或年龄,现在还是正的。当然,我一定是有目前必未知的可改进的地方,未知前加必道理同Dunning-Kruger。高智商的人洗脑率及度当然是更低,可是有不少,说明智商不足于防御洗脑。谈一个很典型的例子,就是自由与民主,或资本主义或共产主义,这类词。任何科学人都应该知道一个人是否是某某主义者,非二进制变量,其甚为复杂,但我是看到好多有科学能力的人却说起我相信我们的民主和自由这种从科学角度空白的话,直接一点还不如说我拥护西方民主主义制度罢了。我也看到很多高智商的人未调查而出论,批评自己不理解的,而看上去还是相信自己所言的。这都是缺乏克制力的表现,因为有克制力的人是会把事情搞透了在张嘴。我看到过数学学得很好的香港人将中共称为独裁,将毛泽东视为杀人猛兽,并且坚定此未有根据的观点。我看到过台湾人指责简体字及其它宏观上微不足道之事为表示对异岸之心逆。我看到过俄罗斯人排斥一切苏联的,似乎认为九十年代的预期寿命下降,人口负增长,难得积累的工业制造业毁于寡头流氓的自由的俄罗斯好于往年的岁月。在这方面,据我所看到了,大陆人还真的不错,由于对于外来的信息相对比较开放,不像好多港台同胞或美国人会将任意来自中国政府的信息拒绝为洗脑或政治宣传。

对于台湾人的政治心态,我真的不想说的太负面。我对台湾其实知道的很少,从来没去过。我认识一些台湾人,他们都很有能力,品德也很好。不过,台湾会让我想到他们曾经禁的一位作家的代表性故事之一的主要人物。我所看到的许多台湾人,及香港人,的心态近于那个人物象征的心态。

老代中国科学家与诗词

读关于中国老一代科学家的资料,很难不观察到他们都有很好的语文修养,将写诗作为他们的业余爱好。几个月前,我看到了杨振宁吹捧陈省身的一首诗,为:

天衣岂无缝
匠心剪接成
浑然归一体
广邃妙绝伦
造化爱几何
四力纤维能
千古寸心事
欧高黎嘉陈

这被我翻译成英文为:

How not woven the fabric of the universe
Spliced with craft
Comes together as one
Wide and broad with unparalleled mystery
Nature loves geometry
Fiber bundles describe four forces
Long unsolved problems
Euclid Gauss Riemann Cartan Chern

今天我又看到,来自这里,关于彭桓武与陈能宽长达十年的诗缘。此中,对我印象较深的是:

亭亭铁塔矗秋空,
六亿人民愿望同。
不是工农兵协力,
焉能数理化成功。

第一句代表的当然是中国第一颗,在秋天,放在铁塔上实验的,原子弹,此为当时中国所有人的共同愿望。后两句又,符合共产党对于无产阶级之重视,强调了工农兵的重要性。这首诗很符合当时的国情,强调知识分子为人民服务,而非摆着架子,瞧不起底层人民。六亿人民与工农兵又让我想起在毛泽东的《送瘟神》“六亿人民尽舜尧”那一句,所表达的观念相似。

如何解释之?我想是大科学家,按照在Steve Hsu的博客上在关于g的讨论中用的语言,V都很高与中国老的科举的那一套结合所产生的自然结果。