Shawn

“CHRONO-SYNCLASTIC INFUNDIBULA—Just imagine that your Daddy is the smartest man who ever lived on Earth, and he knows everything there is to find out, and he is exactly right about everything, and he can prove he is right about everything. Now imagine another little child on some nice world a million light years away, and that little child’s Daddy is the smartest man who ever lived on that nice world so far away. And he is just as smart and just as right as your Daddy is. Both Daddies are smart, and both Daddies are right.    Only if they ever met each other they would get into a terrible argument, because they wouldn’t agree on anything. Now, you can say that your Daddy is right and the other little child’s Daddy is wrong, but the Universe is an awfully big place. There is room enough for an awful lot of people to be right about things and still not agree.    The reason both Daddies can be right and still get into terrible fights is because there are so many different ways of being right. There are places in the Universe, though, where each Daddy could finally catch on to what the other Daddy was talking about. These places are where all the different kinds of truths fit together as nicely as the parts in your Daddy’s solar watch. We call these places chrono-synclastic infundibula.    The Solar System seems to be full of chrono-synclastic infundibula. There is one great big one we are sure of that likes to stay between Earth and Mars. We know about that one because an Earth man and his Earth dog ran right into it.    You might think it would be nice to go to a chrono-synclastic infundibulum and see all the different ways to be absolutely right, but it is a very dangerous thing to do. The poor man and his poor dog are scattered far and wide, not just through space, but through time, too.    Chrono (kroh-no) means time. Synclastic (sin-class-tick) means curved toward the same side in all directions, like the skin of an orange. Infundibulum (in-fun-dib-u-lum) is what the ancient Romans like Julius Caesar and Nero called a funnel. If you don’t know what a funnel is, get Mommy to show you one.”
― Kurt Vonnegut, The Sirens of Titan

“But Mandelbrot continued to feel oppressed by France’s purist mathematical establishment. “I saw no compatibility between a university position in France and my still-burning wild ambition,” he writes. So, spurred by the return to power in 1958 of Charles de Gaulle (for whom Mandelbrot seems to have had a special loathing), he accepted the offer of a summer job at IBM in Yorktown Heights, north of New York City. There he found his scientific home. As a large and somewhat bureaucratic corporation, IBM would hardly seem a suitable playground for a self-styled maverick. The late 1950s, though, were the beginning of a golden age of pure research at IBM. “We can easily afford a few great scientists doing their own thing,” the director of research told Mandelbrot on his arrival. Best of all, he could use IBM’s computers to make geometric pictures. Programming back then was a laborious business that involved transporting punch cards from one facility to another in the backs of station wagons.”
― Jim Holt, When Einstein Walked with Gödel: Excursions to the Edge of Thought

“Since then, several other conjectures have been resolved with the aid of computers (notably, in 1988, the nonexistence of a projective plane of order 10). Meanwhile, mathematicians have tidied up the Haken-Appel argument so that the computer part is much shorter, and some still hope that a traditional, elegant, and illuminating proof of the four-color theorem will someday be found. It was the desire for illumination, after all, that motivated so many to work on the problem, even to devote their lives to it, during its long history. (One mathematician had his bride color maps on their honeymoon.) Even if the four-color theorem is itself mathematically otiose, a lot of useful mathematics got created in failed attempts to prove it, and it has certainly made grist for philosophers in the last few decades. As for its having wider repercussions, I’m not so sure. When I looked at the map of the United States in the back of a huge dictionary that I once won in a spelling bee for New York journalists, I noticed with mild surprise that it was colored with precisely four colors. Sadly, though, the states of Arkansas and Louisiana, which share a border, were both blue.”
― Jim Holt, When Einstein Walked with Gödel: Excursions to the Edge of Thought

“There is nothing that exists so great or marvelous that over time mankind does not admire it less and less.”
― Titus Lucretius Carus, On the Nature of Things