http://www.scifi.com/sfw/issue415/labnotes.html

When my mom was on the brink of marriage, her mother dragged her out 
to spend her meager teenage life's savings on a set of silverware. Not 
flatware and ceramic dishes, but actual silver—something of enduring 
value that Mom could sell if hard times came along. But I can tell you 
firsthand, real silverware dents and scratches and oxidizes easily, 
and who's got the time to polish a hundred pieces? It also conducts 
heat really well, so that a spoon dipped into hot soup can easily 
singe the fingers holding it. It has an unpleasant taste, too, at 
least to my palate. Apparently I'm not the only one who thinks so, 
because today the whole dining set could be replaced on eBay for under 
$50, including shipping. The joke is on my grandmother, who simply 
couldn't envision a future where silver was deemed, if not valueless, 
then at least inferior to stainless steel. When she was a young girl, 
aluminum was precious, too, but the relentless march of technology has 
cheapened it.
Electronics face an even worse situation. In 1965 Gordon Moore, one of 
the founders of Intel, observed that the number of components that 
could be placed on a given area of computer chip was doubling every 12 
months. He later revised the figure to 24 months, then to 18, where it 
has held surprisingly steady for the past 40 years. In fact, here at 
the turn of the millennium "Moore's Law" has become something of a 
cliché; we expect new computers to grow denser and faster every year, 
on an endless exponential climb. As a result, used electronics are 
painfully obsolete and almost completely worthless.

Notice how the left-hand side of the graph looks flat, while the right 
hand side looks nearly vertical? Interestingly, this shape is 
insensitive to scale; we can zoom in or pull back, changing the units 
from kilohertz to gigahertz, from days to years to decades, and the 
graph will have that same look, that same sudden lurch toward 
infinity. In the real world, it's alarming when things are suddenly 
changing that quickly around us; think of hyperinflation, stock market 
bubbles, rampant real-estate speculation ... These things aren't a lot 
of fun. Trends like this led science-fiction writer Vernor Vinge to 
speculate, in his 1987 novel Marooned in Realtime, that the growth of 
technology, information and resource consumption was flinging us 
toward a vertical wall—in his word, a singularity—where everything 
about our civilization would pass through a spasm of overwhelming 
change, emerging on the other side as something unrecognizably 
strange. Do we go extinct? Become gods? Change form so dramatically 
that we no longer recognize ourselves? Will machine intelligences take 
over the world and (if we're lucky) keep us around as pets?

A misunderstood cliché
Since then, the singularity has become a science-fiction cliché, and a 
misunderstood one at that. To understand why, it helps to look even 
further back in time, to the 18th-century British economist Thomas 
Malthus, who studied the relationships among population, food supply 
and industrial production. Human populations also have a doubling 
period—the global average is currently around 50 years—and therefore 
population grows along the same exponential curve you see above. 
Malthus argued, basically, that this growth could continue only until 
the number of people exceeded the carrying capacity of the 
environment, at which point war, famine and disease would step in to 
bring the numbers back down with a heavy crash—a different kind of 
singularity. And then the exponential growth could begin again. This 
exact pattern can be seen in animal populations like locusts, and in a 
murkier way it has left its mark on human history as well.

Now, Malthus has been widely criticized as an oversimplifying 
pessimist; the world is a lot more complicated than this. Malthus 
never anticipated birth control and family planning, for example, and 
didn't quite grasp that if our technology improves exponentially, so 
does the carrying capacity of the land. Although it's unpleasant, I 
can imagine a world where all the plants have been replaced with 
superefficient, solar-powered processing stations that remove wastes 
from the soil and water and atmosphere, producing food and oxygen as 
byproducts. Cover the Earth in such machines and it could support a 
trillion people; extend them out into space and the only limit would 
be the energy output of the sun itself, as noted by Freeman Dyson in a 
famous 1959 essay in Science. But if you can't leap to the distant 
stars, that number really is a hard limit, impossible to exceed. 
Ultimately, sunlight is a limited resource.

Humans will always be humans
Similarly, there are physical limits to Moore's Law; the incredible 
shrinking transistor can't continue past the size limit of the atom 
itself. In the best possible case, this leaves room for about 11 more 
doublings over perhaps the next 17 years—but that's all. And in fact, 
every doubling in chip density follows a quadrupling in tooling costs; 
those end-of-the-line superchips will require a $4 quadrillion 
factory. Since the entire global economy today contains only about $30 
trillion, those growth rates will have to level off pretty soon now. 
The result is the classic S-curve of resource-limited growth. We saw 
it in the railroads, too; from 1830 to 1900 the American railroad 
system appeared to be growing exponentially, but then it suddenly 
slowed, and even declined a bit over the latter half of the 20th 
century.

Of course, during that same period the railroads were supplanted by 
superhighways and airlines and rocket ships moving at ever-higher 
speeds, prompting some observers to predict an endless exponential 
growth in the velocity of human travel. But that, too, seems to have 
leveled off; the human speed record was set by the Apollo astronauts 
on their way to the moon and hasn't been equaled since the final moon 
mission (Apollo 17) in 1972. In the same way, we can expect 
mind-boggling advances in stuff like quantum computing over the span 
of the 21st century. I can already hear the economists speculating 
that the growth might never end. But if history is any guide, it will 
end.

I'm not criticizing Vinge here, but I do think the fans and writers 
following after him have missed the point. Literally: because the 
moment of maximum change and uncertainty comes at the center of the S, 
when the upward curve of exponential growth suddenly—and without 
warning—turns over. In mathematical terms this is called an inflection 
point, and in socioeconomic terms it spells ruin for investments and 
forecasts and business models based on continued exponential growth. 
This is why the bubble economy of the late '90s Internet stocks has 
been so damaging; we're only now learning to cope with lower rates of 
network growth.

Don't get me wrong; the singularity (or inflection point) is a force 
to be reckoned with. We'll hit several of them over the next 100 
years—in population, computing power, ecological resources and the 
explosive growth of Third World economies. It promises to be a rocky 
ride. Australian writer/philosopher Damien Broderick, author of The 
Spike, has offered an interesting opinion, that if you connect the 
centers of these many S-curves you'll find an even larger exponential 
curve behind them, representing the sum total growth in human 
capability. And when that one goes vertical, Vinge's 
predictions—ranging from the transcendent to the nightmarish—will very 
suddenly come true, for better or worse. Maybe he's right; it's 
certainly a hard argument to refute.

But again, if history is any guide, that moment of shock, if it comes, 
will be very brief—a few years at most—after which things will level 
off, settle down and become a lot less interesting. And while the 
world on the other side of that event may look very different from the 
world of today, my personal prediction is that we'll still see 
ourselves in it, with habits and motives largely unchanged. The desire 
for comfort, for wealth, for entertainment and novelty and pleasure 
... these things will never go away. We'll just be richer, more 
powerful and wiser for our troubles. And what, exactly, is wrong with 
that?

xponent

Useless Graphs On Site Maru

rob


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