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Shawn
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“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.”
― The Sirens of Titan
― The Sirens of Titan
“There is nothing that exists so great or marvelous that over time mankind does not admire it less and less.”
― On the Nature of Things
― On the Nature of Things
“only between 5 percent and 20 percent of forcible rapes in the United States are reported to the police; a paltry 0.4 percent to 5.4 percent of rapes are ever prosecuted; and just 0.2 percent to 2.8 percent of forcible rapes culminate in a conviction that includes any time in jail for the assailant. Here’s another way to think about these numbers: When an individual is raped in this country, more than 90 percent of the time the rapist gets away with the crime. —”
― Missoula: Rape and the Justice System in a College Town
― Missoula: Rape and the Justice System in a College Town
“In some cases, the reaction to Cantor’s theory broke along national lines. French mathematicians, on the whole, were wary of its metaphysical aura. Henri Poincaré (who rivaled Germany’s Hilbert as the greatest mathematician of the era) observed that higher infinities “have a whiff of form without matter, which is repugnant to the French spirit.” Russian mathematicians, by contrast, enthusiastically embraced the newly revealed hierarchy of infinities. Why the contrary French and Russian reactions? Some observers have chalked it up to French rationalism versus Russian mysticism. That is the explanation proffered, for example, by Loren Graham, an American historian of science retired from MIT, and Jean-Michel Kantor, a mathematician at the Institut de Mathématiques de Jussieu in Paris, in their book Naming Infinity (2009). And it was the Russian mystics who better served the cause of mathematical progress—so argue Graham and Kantor. The intellectual milieu of the French mathematicians, they observe, was dominated by Descartes, for whom clarity and distinctness were warrants of truth, and by Auguste Comte, who insisted that science be purged of metaphysical speculation. Cantor’s vision of a never-ending hierarchy of infinities seemed to offend against both. The Russians, by contrast, warmed to the spiritual nimbus of Cantor’s theory. In fact, the founding figures of the most influential school of twentieth-century Russian mathematics were adepts of a heretical religious sect called the Name Worshippers. Members of the sect believed that by repetitively chanting God’s name, they could achieve fusion with the divine. Name Worshipping, traceable to fourth-century Christian hermits in the deserts of Palestine, was revived in the modern era by a Russian monk called Ilarion. In 1907, Ilarion published On the Mountains of the Caucasus, a book that described the ecstatic experiences he induced in himself while chanting the names of Christ and God over and over again until his breathing and heartbeat were in tune with the words.”
― When Einstein Walked with Gödel: Excursions to the Edge of Thought
― 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.”
― When Einstein Walked with Gödel: Excursions to the Edge of Thought
― When Einstein Walked with Gödel: Excursions to the Edge of Thought
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