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Things I learned from comments on yesterday's post [Dec. 26th, 2012|01:55 am]
Scott
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First, the friend I had the original discussion with wants me to clarify his point. It wasn't just that we have three thousand times the population. It's that we have higher literacy, more wealth, more useful technology like Google, more understanding that academics is actually a thing you can do instead of "that weirdo who stares at right triangles all day", and especially the Flynn Effect which means our average IQ is greater than that of the ancients.

(actually, if you extend the Flynn Effect backwards, the ancient Greeks would have had IQ of -600, which seems unlikely. A more reasonable guess would be to just give them the furthest-back-in-the-past IQ we have reliably measured, which is the 1930s average of 80, but it could be that whatever mysterious force runs the Flynn Effect worked differently then. Also, some people say the Flynn Effect works only by bringing the dumbest people to average, which would mean it shouldn't affect the genius level)

So, he says, really if we were working at Athens level we should have ten, twenty thousand Platos. Since comparing us to the greatest intellectual engine of the ancient world is unfair, he would accept merely a thousand Platos. I apologize for not presenting this stronger argument, but it doesn't change much to me. In either case, there's an obvious deficiency of Platos we have to do something about. Since none of the arguments I raised were quantitative, they can handle a 20 kiloplato deficit as easily as a 1 kiloplato deficit.

Second, Gwern points out a different study on the arbitrariness of popularity than the one I was thinking of but which is still very interesting:
In a 2003 study, psychologist James Cutting (2003, 2006) briefly exposed undergraduate psychology students to canonical and lesser-known Impressionist paintings (the lesser-known works exposed four times as often), with the result that after exposure, subjects preferred the lesser-known works more often than did the control group. Cutting took this result to show that canon formation is a result of cultural exposure over time.


Third, drethelin gives the example of a cluster of geniuses I previously never appreciated: the Martians. They were a group of Hungarian scientists who all emigrated to the US around the same time, including Theodore von Kármán, John von Neumann, Eugene Wigner, Edward Teller, Paul Erdős, and Leó Szilárd. When Fermi was coming up with his Fermi Paradox, someone, awed by the number of Hungarian geniuses, suggested that superintelligent aliens had landed on Earth and were posing as Hungarians (hence the name). Intriguingly, Wikipedia adds "The Hungarian educational system is still superior to the American, and the Hungarian scientists were seemingly superhuman in intellect." If an educational system, of all things, helped produce John von Neumann, I should look into this further.

(but Gwern suggests "The example of Hungary suggests that maybe this is just an example of being fooled by randomness. Randomness produces clumps, and little is clumpier than geniuses.")

Fourth, and this isn't technically something I learned in the comments thread but I thought it was relevant: Half The Facts You Know Are Probably Wrong. The stuff about facts having a half-life was cute, but what really interested me was this:
In 1947, the mathematician Derek J. de Solla Price was asked to store a complete set of The Philosophical Transactions of the Royal Society temporarily in his house. Price stacked them in chronological order by decade, and he noticed that the number of volumes doubled about every 15 years, i.e., scientific knowledge was apparently growing at an exponential rate. Thus the field of scientometrics was born.

Price started to analyze all sorts of other kinds of scientific data, and concluded in 1960 that scientific knowledge had been growing steadily at a rate of 4.7 percent annually for the last three centuries. In 1965, he exuberantly observed, “All crude measures, however arrived at, show to a first approximation that science increases exponentially, at a compound interest of about 7 percent per annum, thus doubling in size every 10–15 years, growing by a factor of 10 every half century, and by something like a factor of a million in the 300 years which separate us from the seventeenth-century invention of the scientific paper when the process began.”

A 2010 study in the journal Scientometrics, looking at data between 1907 and 2007, concurred: The “overall growth rate for science still has been at least 4.7 percent per year.”

This seems like a very suboptimal way of measuring science; you might as well just weigh science textbooks and say we have 784 pounds of epigenetics knowledge. But it still seems better than nothing. And having just seen the GDP graph above, and knowing of course about Moore's Law, it would seem oddly plausible for there to be a constant and invariable Official Growth Rate For Science.

Fifth, a few people make the argument for "no, ancient Athens really was that great. From celandine13:
Put it another way: we don't have aristocrats today.

Aristocracy was a pretty horrible thing on net because it kept most people peasants and slaves by force. On the other hand, it was a pretty sweet deal for the aristocrats. They were encouraged to develop their skills to the utmost. In some cultures (Vedic India, classical Athens, the Royal Society in the late 1600s) the small group of people in an aristocratic culture were at a really high level intellectually and even physically and socially. And they were free (culturally/psychologically free, not just legally) to tinker around, to play intellectually, in ways that enabled some of them to invent whole new fields of science and philosophical paradigms. Aristocratic culture is focused on living well, being an excellent person, and doing things...it's what people would be like if there were no higher-ups left whose approval you could chase. But no matter how rich you get today, no matter how privileged, you can't join an aristocratic culture that gives you that focus on all-around arete and freedom. I haven't met the super-rich, but I went to college with some pretty rich kids...and they were just as needy and plugged into the system as anybody else.

We have enough wealth in modern society that we could probably afford to include more people in aristocratic cultures/communities, if anybody were willing to build them. It wouldn't necessarily have to include the whole serfdom/slavery aspect. You could sustain a free lifestyle on a lot less effort than most smart people usually spend making their living, if you managed to create a cultural reality where *you* and your pals were at the top of the food chain and there was thus no need to gain someone else's stamp of credibility (e.g. "I'll be a real professional if I become a lawyer.") If you could get 150,000 more-talented-than-average people to actually believe they were aristocrats, they'd probably perform more like Classical Athens.


Sixth, Chris posted one of the most interesting graphs I've ever seen, which I reproduce below:



You see (the log of) US economic progress being ramrod-straight, with the tiny exception of a blip for the Great Depression, for the past 200 or so years.

If this is true, it...kind of invalidates an entire class of political arguments? Like, it should be very hard to believe taxes hurt the economy when taxes have increased ten or a hundredfold over the past few centuries but the economy has kept going exactly according to trend. The same is true of government regulation. And those are both conservative ideas, because conservatives tend to talk about the economy more, but any liberal claims about increasing economic output - Keynes, women's lib, I don't know - also seem completely ineffective. I don't know why this isn't being talked about more.

(Also, apparently the Civil War didn't hurt the economy?)

michaelvassar told me at our community Christmas party tonight that he thinks the graph is completely wrong, or at least that GDP is a terrible measure that wouldn't capture real changes in the economy. On the other hand, commenter Chris, who says he's an economic historian, says of it that "The data are pretty decent. Not fantastic, but certainly not noise (unlike, say, the Angus Maddison pre-1800 GDP data, which is largely educated guesses). But the steadiness of growth after the start of the Industrial Revolution in the United States is a fairly well-established fact in economic history." Yet another thing I need to look into.
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[User Picture]From: widgetfox
2012-12-26 10:29 am (UTC)
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[User Picture]From: Andrs Kovcs
2012-12-26 10:54 am (UTC)
Modern Hungarian education is at best mediocre and/or unremarkable amongst OECD countries and probably degraded noticeably over the last decade, and will degrade for years while the effects of massive mismanagement of primary and secondary education peter out. There are currently major student protests against continuing shittiness.

Looking at PISA rankings:

http://en.wikipedia.org/wiki/Programme_for_International_Student_Assessment#2009

Hungary's slightly ahead of the US on math and science and behind in reading. Nothing comparable to Finns or Singaporeans. On global university rankings:

http://en.wikipedia.org/wiki/College_and_university_rankings#Global_rankings

there are 4-5 universities hovering around 500.

The Martians could be maybe explained by noticing that they were all Jewish (now there are less Jews around as many emigrated and 450000 perished in the Holocaust), and before WWII Austria-Hungary (and then Hungary after the dissolution) was indeed a major hub of technological innovation in central Europe, but not after, of course.

Edited at 2012-12-26 10:55 am (UTC)
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[User Picture]From: gwern branwen
2012-12-26 06:22 pm (UTC)
I don't buy the claim that modern Hungarian education is better than the US (where are all the Martians?, one might ask. Or Hungarians, period) but I feel I should point out that your recent data doesn't address two possibilities:

1. that the Hungarian educational system, while only mediocre on average, has higher variance which can lead to a few geniuses. (This is a popular explanation for why men tend to be the top thinkers at any period, so we should take it seriously for educational systems as well.)
2. that the Hungarian system *used* to be better but has been destroyed either by the rise of Communism (von Neumann etc were educated pre-Communism) or by its fall (we all know the damage inflicted on Russia by post-Communism, and the decline of their world-class mathematics).
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From: nomophilos
2012-12-26 11:00 am (UTC)
Interestin' stuff on the Martians! (though you list Leo Szilard twice). Since they come from the same area, some genetic analysis would be interesting! Apparently there's been some genealogical analysis ("Tudosok, Genek, Tanulsagok: A Magyar Termeszettudos Geniuszok Csaladfaelemzese" - "Scientists, genes, dilemmas: genealogical analysis of Nobel laureates of Hungarian origin").

I suspected that if you described life in modern western societies (peace as far as most of us can remember and in the foreseeable future, affordable travel all around the world, comfortable and warm housing, innumerable books ...) to a "middle class" citizen of Athenes in Plato's time, he would have seen our world as an unbelievable Utopia. Only the aristocrats may think they'd have a better deal in their world (and even then, some might prefer a lack of toothaches over their prestigious position).
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[User Picture]From: drethelin
2012-12-26 12:59 pm (UTC)
Are we better at capturing science value than ancients were? First thoughts would say yes, eg it's harder for us to have antikythera mechanisms (implying Greeks were even more badass than we know"
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[User Picture]From: ice_hesitant
2012-12-28 04:02 am (UTC)
How is it harder for us to have antikythera mechanisms? There are 650 variations on the orrery for sale on Amazon.
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[User Picture]From: jordan179
2012-12-26 01:09 pm (UTC)
Like, it should be very hard to believe taxes hurt the economy when taxes have increased ten or a hundredfold over the past few centuries but the economy has kept going exactly according to trend. The same is true of government regulation.

Taxes cut at profit margins. If profit margins rise, taxes as a percentage can also rise without reducing the existing growth rate: the cost is foregone increased growth, in return for greater governmental resources to deal with problems like the World Wars and the Cold War. But if taxes cut the profit margin to negative levels, the economy will stop growing.

Technological progress is the chief driver of long-term economic growth, and it also counters government regulation because regulation tends to be imposed first in the older industries. The usual result is that older industries sink under the weight of accumulated regulations and die, while newer industries produce continued economic growth. If the regulations are imposed fast enough, they too will cut off economic growth.

The fantasy that one can tax and regulate without cost to the economy is a dangerous one because it has an obvious appeal to politicians, but There Still Ain't No Such Thing As A Free Lunch, and the Gods of the Copybook Headings are remorseless. We are headed right now toward a huge economic crack-up because we ignore these realities.
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[User Picture]From: mindstalk
2012-12-26 02:50 pm (UTC)
The fantasy that taxes and regulations can have no benefit to the economy is a far more dangerous one, since so many conservative politicians believe it, which has led to the current huge economic crack-up.
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[User Picture]From: vinaigrettegirl
2012-12-26 01:17 pm (UTC)
That graph is not dissimilar to graphs of tonnes of carbon In the atmosphere, iirc. US GDP increased as the dominant culture moved west and brought increasing amounts of raw materials and cheap labour into industrial development.

Why do you dismiss "Keynesian economics, women's lib" as in some way non-contributory to what I think is your initial premise of "life now is better than in Athenian times as measured by GDP and science and good things that come from those things"?

As for an absence or presence of Platos, Plato's job was done by Plato. When he died, his disciples were successful in ensuring his thinking and recording thereof was preserved (allowing for the notion that nobody in a forum really was a sole genius whose genius could have flourished equally and in the same way in isolation). I disagree about the absence of Platos. There are hundreds of thousands of them, acting and thinking within their own spheres of influence. If their influence is less obvious than his that doesn't mean they don't exist.


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[User Picture]From: andrewducker
2012-12-26 02:05 pm (UTC)
Yes, we could have a million people come up with the ideas of Plato now, and it wouldn't make a ripple. Making a ripple now takes a lot more effort than it did then.

I mean, the world is in a constant state of being amazing and yet most people aren't perturbed. Chances are that each of those inventions required dozens-to-thousands of geniuses to complete, after all.
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[User Picture]From: mindstalk
2012-12-26 02:56 pm (UTC)
Liberals might say that government regulations were among the things needed to keep the graph rising like that, especially after the crack-up of the Great Depression. More substantially, the post-Depression curve looks smoother than the pre-Depression curve. especially from 1898 on. That's your Keynesianism at work: less short-term fluctuation. Also, eyeballing it, the later portion has a similar slope but higher level to an extrapolation of the 1898-Depression segment. Maybe even a higher slope, though again, pure eyeball.
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From: Kevin Pedro
2012-12-27 08:45 pm (UTC)
Using the data from http://www.measuringworth.com/usgdp/ (http://www.measuringworth.com/usgdp/), I did two separate fits for 1790-1929 and 1946-2011, skipping the Great Depression/WWII fluctuation. These confirm your observation that the post-WWII data is smoother (higher R²) and has a higher slope.
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From: (Anonymous)
2012-12-26 03:11 pm (UTC)
I think the data for this particular graph comes from here:
http://www.measuringworth.com/uscompare/sourcegdp.php
As I said, the data is far from perfect. Prior to the 20th century, the data is a mix, with some of the components collected every decade and interpolated, and others collected annually. So you don't want to, for example, compute an annual variance with the data. But that doesn't really effect the overall picture, which you get just looking at an every-decade frequency. And you get basically the same graph if you restrict attention to the 20th century and beyond, there the data is really decent.

GDP is not perfect of course, nor is it the only thing we care about, nor is every country like the United States in this respect. For example, after about 1973, there's a troubling decoupling of productivity and median wages. But that's a separate issue. Moreover, productivity growth has slowed somewhat, which is worrisome. Section II here is a summary of that that might be worth reading
http://faculty-web.at.northwestern.edu/economics/gordon/355.pdf

You can also make a "stagnationist" case there if you want, looking at the decline in growth in real per capita GDP per hour worked. I just think it's very difficult to make a case using this data that the 19th century had way better institutions than we did and consequently better growth. To the extent there's a problem, it's more in the Tyler Cowen/Robert Gordon vein.

-Chris
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[User Picture]From: vinaigrettegirl
2012-12-26 04:21 pm (UTC)
Growth as a consequence of 19th-century institutions being "better"? (Than "ours" where "ours" = roughly post WW1, Western, global north, roughly Anglophone?)

I'm not for a moment suggesting you are making that argument, and having read the words I see I may be in A Context; but a proposition "19th century institutions favour growth and were therefore better" does make my eyes water.
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[User Picture]From: st_rev
2012-12-26 05:17 pm (UTC)
To expand on something I said in the last comment thread (that there are at least three thousand distinct mathematical specialties now), it's not that people's minds are getting smaller, it's that knowledge is getting bigger. There will never be another Euclid because it is no longer humanly possible to contribute meaningfully to the whole of mathematics. The last man generally believed to know all of mathematics was Gauss (1777-1855). I remember an estimate that Erdos (1913-1996) might have known 10% of mathematics at his peak--and Erdos was a greater mathematician in terms of pure output than Gauss.

There's a secondary effect, probably more pronounced in mathematics than in other areas of creative work: because mathematics has been growing and accumulating results so successfully for such a long time, it takes most professionals about twelve years of preparatory education (K-12) and another ten or fifteen years of focused study (undergraduate through postdoc) to reach a point where they can do meaningful work.
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[User Picture]From: gwern branwen
2012-12-26 06:18 pm (UTC)
This is a possible explanation. The work of Benjamin Jones on changes in average ages of scientists and other such types over the 20th century is really fascinating, and sometimes reinforces the theory with the exceptions: quantum mechanics had shockingly young people making the breakthroughs, but also was extremely different from preceding physics.
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From: (Anonymous)
2012-12-26 06:46 pm (UTC)

Taxes

"Like, it should be very hard to believe taxes hurt the economy when taxes have increased ten or a hundredfold over the past few centuries but the economy has kept going exactly according to trend."

Tax hawks would say that the trend line would be *even better* with lower taxes.
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[User Picture]From: vinaigrettegirl
2012-12-26 08:36 pm (UTC)
Tax hawks would be unable to substantiate that assertion; indeed, we seem, through tax avoidance schemes, etc., to have lower taxes, in effect, and pace "economic distortion introduced by the need for tax avoidance schemes", for the US, anyway, there just isn't good evidence they can adduce.
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[User Picture]From: maniakes
2012-12-26 07:14 pm (UTC)
The chart appears to support Moldbug's argument that improvements over the past few centuries are almost entirely driven by technological growth, not political institutions (since if the liberal progress story were true, we should see a kink in the graph at either the Progressive Era or the New Deal Era).

But at the same time, it undercuts Moldbug's argument that an absolute ruler would tend to govern humanely because it's in his interests to do so in order to improve his country's tax base. The range of policies during the time period of that graph includes not just two periods of total war, but also a long period where a substantial minority of the population were chattel slaves. If those policies barely budged the trendline, what's to stop Fnargl from enslaving a third of the population, drafting mass armies, and engaging in a program of conquest?
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From: dogofjustice
2012-12-26 11:43 pm (UTC)
Moldbug's analysis is interesting, and I'd say it provides considerable motivation for more experimentation (which the US is in principle well-positioned to lead, but unfortunately its federalism is on the wane...). However, the track record of human systems built out of theory and then forced into being is not good, and I don't think Moldbug's prima facie insane prescriptions would fare any better. (The power of today's deterrent weaponry might stop Fnargl from conquering much, but without adequate exit rights, I'm pretty sure his system would squander more human potential.)

Incidentally, Iceland is the most interesting active experiment I'm aware of (see e.g. http://en.wikipedia.org/wiki/Kitchenware_Revolution ).
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From: (Anonymous)
2012-12-26 07:35 pm (UTC)
Hmmm The Martians are quite the mystery. What where they doing in the US in the first place? Perhaps they where being chased out of Eastern Europe by a mysterious foe in the first half of the 20th century?

"The Martians" was the name of a group of prominent scientists (mostly, but not exclusively physicists and mathematicians) who emigrated from Hungary to the United States in the early half of the 20th century. They included, among others, Theodore von Kármán, John von Neumann, Eugene Wigner, Edward Teller and Paul Erdős. They received the name from a fellow Martian Leó Szilárd, who jokingly suggested that Hungary was a front for aliens from Mars."

So lets take a look at that list maybe w can find some hints?

"Von Kármán was born into a Jewish family in Budapest, Austria-Hungary as Kármán Tódor. One of his ancestors was Rabbi Judah Loew ben Bezalel."

"Von Neumann was born Neumann János Lajos (Hungarian pronunciation: [ˈnojmɒn ˈjaːnoʃ ˈlɒjoʃ]; in Hungarian the family name comes first) in Budapest, Austro-Hungarian Empire, to wealthy Jewish parents."

"Wigner was born in Budapest, Austria-Hungary, into a middle class Jewish family."

"Teller was born in Budapest, Hungary (then Austria-Hungary) into a Jewish family in the year 1908."

"Paul Erdős was born in Budapest, Austria-Hungary on March 26, 1913.[5] He was the only surviving child of Anna and Lajos Erdős (formerly Engländer);[6] his siblings died before he was born, aged 3 and 5. His parents were both Jewish mathematicians from a vibrant intellectual community"

"Szilárd was born in 1898 to middle-class parents in Budapest, Hungary . His parents, both Jewish, Louis Spitz, a civil engineer, and Thekla Vidor, raised Leó on the Városligeti Fasor in Pest, Hungary."

Clearly Martians have bigger brains and like reproducing in Germanic countries or something. But beyond that I can't seem to spot a pattern.

-Konkvistador
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[User Picture]From: Eliezer Yudkowsky
2012-12-26 11:04 pm (UTC)
I roll to disbelieve the graph. I am suspicious that this lovely smooth graph has been edited by governmental forces that would like it to look smooth and to be on track. I expect reality to look around as choppy after WWII as before WWII, and to show a decline in slope after the 1970s. Maybe we should ask Shadow Government Statistics what the graph looks like - I don't particularly trust them, but I trust USG even less.

Edited at 2012-12-26 11:06 pm (UTC)
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From: (Anonymous)
2012-12-27 12:22 am (UTC)

Shadowstats??????

Oh no. Please no. I've already become disillusioned enough without having someone as smart as you are say they trust Shadowstats more than the BLS. Shadowstats is crap crap crap. I apologize for the length and pedantic nature of this response, but I just can't stand nonsense going unchallenged.

(1) Shadowstats is just factually wrong about the methodological changes that the BLS has done. See here for a good summary by people who know what they are talking about
http://www.bls.gov/opub/mlr/2008/08/art1full.pdf

(2) A little simple arithmetic can tell you why their claims are grade-A bullshit. They have claimed that since 1983 inflation has been understated by at least seven percentage points per year.
http://www.shadowstats.com/article/no-438-public-comment-on-inflation-measurement
Let's go back to measuring worth and see what that means.
By the official numbers, we have (the reference year is 2005, it's irrelevant)

1983: Nominal GDP per cap = 15,084
GDP Deflator = 57.60
2011: Nominal GDP per cap = 48372
GDP Deflator = 113.34

So real per cap GDP has gone from 15084/.5760=26188 to 48372/1.1334=42678.
That's 26188 to 42678 in 29 years, or 1.68% growth per year, compounding continuously.

But IF inflation has been understated by 7 percentage points a year, the GDP deflator becomes radically different. Specifically, instead of growing at 2.33% a year, it grows at 9.33% a year, so the deflator in 2011 becomes 57.60*(1.0933^29)=765.36.

Then working out the math one more time, you get real per capita GDP in 2011 of 6320. In other words, we are more than 75%(!!!!!) poorer in 2011 than in 1983.

I'm sorry, but this is beyond nonsense. Believing these numbers are more reliable than the official ones is like the HIV denialism of economics.

-Chris

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From: deiseach
2012-12-26 11:33 pm (UTC)
(1) Your Athenian negative Flynn Effect is why I have such a distrust of the sweeping claims made for IQ tests. I don't think we are generally (as individuals) that much smarter than individuals from the past, nor do I think that the people of the past were so dumb, unlike us sophisticated moderns. I know the "standing on the shoulders of giants" quote is hackneyed, but it's easier to progress when you don't have to re-invent the wheel every time; in other words, the more we know, the more we have the capacity to make new discoveries.

Also, I wonder if the idea of "educating the dumbest" just means "educating those who beforehand were not educated at all" - in other words, the spread of literacy amongst those who would previously never have been educated to a high level, or indeed much of a level at all. My father left school at 14 to start work because his family was too poor to keep him in education, so that means his formal education was always stuck at the level of a 14 year old. If the poorer/lower-class adults of the past were measured on tests at a level of a 12 year old, and the poorer/lower class adults of today are measured at the level of a 17 year old, I don't think that means "past adults were stupider" but rather "modern adults receive more education".

(2) "Also, apparently the Civil War didn't hurt the economy?)"

A war economy can be thriving, just in a different way to a peace-time one. All the new jobs in munitions factories, armaments factories, etc. All the money being spent building warships and buying uniforms and supplies from private manufacturers. Employment getting bumped up because (a) the conscription of soldiers means everyone except the absolute incapable are in the army and (b) that means that civilian jobs are filled by those who might otherwise be unemployed.

Also, does that graph take into account that since 1790, the population of the U.S.A. was expanding, the markets for goods were expanding, exports were increasing and so forth? When there are more people working and buying, tax revenues can go up because more people are being taxed, without hurting economic growth hugely. It's when there is no growth and high taxes on the mass of the ordinary people that the damage is done.
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From: jsl32
2012-12-27 01:50 am (UTC)
gdp includes government spending, so the relentless upward march is not quite as great as it's portrayed.
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[User Picture]From: xuenay
2012-12-27 08:39 am (UTC)
Re: the Flynn effect - I like Flynn's own theory on it. Basically, the score on any IQ tests is the result of talent + practice, and you can't design an IQ test so that you wouldn't get some practice on it simply from your daily life. The test always overlaps with some domain-specific skill that you're also using for something else. The Flynn effect, then, simply reflects that our society has changed in such a way that we tend to get more practice on the kinds of subskills which are also useful for IQ tests. It doesn't necessarily reflect any real gain in intelligence.
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From: (Anonymous)
2012-12-27 09:16 pm (UTC)
It makes no sense to criticize Keynesian economics based on the fact that it doesn't alter the long term trend. Keynesianism is about preventing short term instability in the economy. As Keynes famously said "in the long term we are all dead."
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[User Picture]From: mrmandias
2012-12-27 11:27 pm (UTC)

Murray, On Human Accomplishment

You guys are basically recapitulating Murray's "On Human Accomplishment" and the responses to it.
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