“The basic problem for Lawrence was that he was lazy. He had figured out that everything was much simpler if, like Superman with his X-ray vision, you just stared through the cosmetic distractions and saw the underlying mathematical skeleton. Once you found the math in a thing, you knew everything about it, and you could manipulate it to your heart’s content with nothing more than a pencil and a napkin. He saw it in the curve of the silver bars on his glockenspiel, saw it in the catenary arch of a bridge and in the capacitor-studded drum of Atanasoff and Berry’s computing machine. Actually pounding on the glockenspiel, riveting the bridge together, or trying to figure out why the computing machine wasn’t working were not as interesting to him.”

“He walked straight out of college into the waiting arms of the Navy. They gave him an intelligence test. The first question on the math part had to do with boats on a river: Port Smith is 100 miles upstream of Port Jones. The river flows at 5 miles per hour. The boat goes through water at 10 miles per hour. How long does it take to go from Port Smith to Port Jones? How long to come back?Lawrence immediately saw that it was a trick question. You would have to be some kind of idiot to make the facile assumption that the current would add or subtract 5 miles per hour to or from the speed of the boat. Clearly, 5 miles per hour was nothing more than the average speed. The current would be faster in the middle of the river and slower at the banks. More complicated variations could be expected at bends in the river. Basically it was a question of hydrodynamics, which could be tackled using certain well-known systems of differential equations. Lawrence dove into the problem, rapidly (or so he thought) covering both sides of ten sheets of paper with calculations. Along the way, he realized that one of his assumptions, in combination with the simplified Navier Stokes equations, had led him into an exploration of a particularly interesting family of partial differential equations. Before he knew it, he had proved a new theorem. If that didn't prove his intelligence, what would?Then the time bell rang and the papers were collected. Lawrence managed to hang onto his scratch paper. He took it back to his dorm, typed it up, and mailed it to one of the more approachable math professors at Princeton, who promptly arranged for it to be published in a Parisian mathematics journal.Lawrence received two free, freshly printed copies of the journal a few months later, in San Diego, California, during mail call on board a large ship called the U.S.S. Nevada. The ship had a band, and the Navy had given Lawrence the job of playing the glockenspiel in it, because their testing procedures had proven that he was not intelligent enough to do anything else.”

“If he would just work with pure ideas like a proper mathematician he could go as fast as thought. As it happens, Alan has become fascinated by the incarnations of pure ideas in the physical world. The underlying math of the universe is like the light streaming in through the window. Alan is not satisfied with merely knowing that it streams in. He blows smoke into the air to make the light visible. He sits in meadows gazing at pine cones and flowers, tracing the mathematical patterns in their structure, and he dreams about electron winds blowing over the glowing filaments and screens of radio tubes, and, in their surges and eddies, capturing something of what is going on in his own brain. Turing is neither a mortal nor a god. He is Antaeus. That he bridges the mathematical and physical worlds is his strength and his weakness.”

“What if the places you went and the things you encountered in your work were more interesting than what was available in the physical world around you?”

“Shut up about Leibniz for a moment, Rudy, because look here: You—Rudy—and I are on a train, as it were, sitting in the dining car, having a nice conversation, and that train is being pulled along at a terrific clip by certain locomotives named The Bertrand Russell and Riemann and Euler and others. And our friend Lawrence is running alongside the train, trying to keep up with us—it’s not that we’re smarter than he is, necessarily, but that he’s a farmer who didn’t get a ticket. And I, Rudy, am simply reaching out through the open window here, trying to pull him onto the fucking train with us so that the three of us can have a nice little chat about mathematics without having to listen to him panting and gasping for breath the whole way.”

“The opening screen of T'Rain was a frank rip-off of what you saw when you booted up Google Earth. Richard felt no guilt about this since he had heard that Google Earth in turn was based on an idea from some old science fiction novel”

“So I looked with fascination at those people in their mobes, and tried to fathom what it would be like. Thousands of years ago, the work that people did had been broken down into jobs that were the same every day, in organizations where people were interchangeable parts. All of the story had been bled out of their lives. That was how it had to be; it was how you got a productive economy. But it would be easy to see a will at work behind this: not exactly an evil will, but a selfish will. The people who'd made the system thus were jealous, not of money and not of power but of story. If their employees came home at day's end with interesting stories to tell, it meant that something had gone wrong: a blackout, a strike, a spree killing. The Powers That Be would not suffer others to be in stories of their own unless they were fake stories that had been made up to motivate them. People who couldn't live without story had been driven into the concents or into jobs like Yul's. All others had to look somewhere outside of work for a feeling that they were part of a story, which I guessed was why Sæculars were so concerned with sports, and with religion. How else could you see yourself as part of an adventure? Something with a beginning, middle, and end in which you played a significant part? We avout had it ready-made because we were a part of this project of learning new things. Even if it didn't always move fast enough for people like Jesry, it did move. You could tell where you were and what you were doing in that story. Yul got all of this for free by living his stories from day to day, and the only drawback was that the world held his stories to be of small account. Perhaps that was why he felt such a compulsion to tell them, not just about his own exploits in the wilderness, but those of his mentors.”