The Complete Stories_ Volume 1 - Isaac Asimov [123]
"The human mind, Computer Loesser, only manipulates facts. It doesn't matter whether the human mind or a machine does it. They are just tools."
"Yes, yes. I've gone over your ingenious demonstration that the mind can duplicate the computer but it seems to me a little in the air. I'll grant the theory but what reason have we for thinking that theory can be converted to practice?"
"I think we have reason, sir. After all, computers have not always existed. The cave men with their triremes, stone axes, and railroads had no computers."
"And possibly they did not compute."
"You know better than that. Even the building of a railroad or a ziggurat called for some computing, and that must have been without computers as we know them."
"Do you suggest they computed in the fashion you demonstrate?"
"Probably not. After all, this method—we call it 'graphitics,' by the way, from the old European word 'grapho' meaning 'to write'—is developed from the computers themselves so it cannot have antedated them. Still, the cave men must have had some method, eh?"
"Lost arts! If you're going to talk about lost arts—"
"No, no. I'm not a lost art enthusiast, though I don't say there may not be some. After all, man was eating grain before hydroponics, and if the primitives ate grain, they must have grown it in soil. What else could they have done?"
"I don't know, but I'll believe in soil-growing when I see someone grow grain in soil. And I'll believe in making fire by rubbing two pieces of flint together when I see that, too."
Shuman grew placative. "Well, let's stick to graphitics. It's just part of the process of etherealization. Transportation by means of bulky contrivances is giving way to direct mass-transference. Communications devices become less massive and more efficient constantly. For that matter, compare your pocket computer with the massive jobs of a thousand years ago. Why not, then, the last step of doing away with computers altogether? Come, sir, Project Number is a going concern; progress is already headlong. But we want your help. If patriotism doesn't move you, consider the intellectual adventure involved." Loesser said skeptically, "What progress? What can you do beyond multiplication? Can you integrate a transcendental function?"
"In time, sir. In time. In the last month I have learned to handle division. I can determine, and correctly, integral quotients and decimal quotients."
"Decimal quotients? To how many places?"
Programmer Shuman tried to keep his tone casual. "Any number!"
Loesser's lower jaw dropped. "Without a computer?"
"Set me a problem."
"Divide twenty-seven by thirteen. Take it to six places."
Five minutes later, Shuman said, "Two point oh seven six nine two three." Loesser checked it. "Well, now, that's amazing. Multiplication didn't impress me too much because it involved integers after all, and I thought trick manipulation might do it. But decimals—"
"And that is not all. There is a new development that is, so far, top secret and which, strictly speaking, I ought not to mention. Still— We may have made a breakthrough on the square root front."
"Square roots?"
"It involves some tricky points and we haven't licked the bugs yet, but Technician Aub, the man who invented the science and who has an amazing intuition in connection with it, maintains he has the problem almost solved. And he is only a Technician. A man like yourself, a trained and talented mathematician ought to have no difficulty."
"Square roots," muttered Loesser, attracted.
"Cube roots, too. Are you with us?"
Loesser's hand thrust out suddenly, "Count me in."
General Weider stumped his way back and forth at the head of the room and addressed his listeners after the fashion of a savage teacher facing a group of recalcitrant