“And Türing answered another,” Rudy said. “Who’s that?” “It’s me,” Alan said. “But Rudy’s joking. ‘Turing’ doesn’t really have an umlaut in it.” “He’s going to have an umlaut in him later tonight,” Rudy said, looking at Alan in a way that, in retrospect, years later, Lawrence would understand to have been smoldering.”

“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.”

“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.”

“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.”

“But blasting the drummer into the river, though it would have been easy at this range, was not a good way to be inconspicuous.”

“Our opponent is an alien starship packed with atomic bombs," I said. "We have a protractor.”

“Nell did not imagine that Constable Moore wanted to get into a detailed discussion of recent events, so she changed the subject. "I think I have finally worked out what you were trying to tell me, years ago, about being intelligent," she said. The Constable brightened all at once. "Pleased to hear it." The Vickys have an elaborate code of morals and conduct. It grew out of the moral squalor of an earlier generation, just as the original Victorians were preceded by the Georgians and the Regency. The old guard believe in that code because they came to it the hard way. They raise their children to believe in that code– but their children believe it for entirely different reasons." They believe it," the Constable said, "because they have been indoctrinated to believe it." Yes. Some of them never challenge it– they grow up to be smallminded people, who can tell you what they believe but not why they believe it. Others become disillusioned by the hypocrisy of the society and rebel– as did Elizabeth Finkle-McGraw." Which path do you intend to take, Nell?" said the Constable, sounding very interested. "Conformity or rebellion?" Neither one. Both ways are simple-minded– they are only for people who cannot cope with contradiction and ambiguity.”