“Does this always work?”

“Every time, Mr. President. It is foolproof.”

“Is it hard to learn?”

“It took me a week to get the real hang of it. I think you would do better.”

“Well,” said the president, considering, “it’s an interesting parlor game, but what is the use of it?”

“What is the use of a newborn baby, Mr. President? At the moment there is no use, but don’t you see that this points the way toward liberation from the machine. Consider, Mr. President,” the congressman rose and his deep voice automatically took on some of the cadences he used in public debate, “that the Denebian war is a war of computer against computer. Their computers forge an impenetrable shield of counter-missiles against our missiles, and ours forge one against theirs. If we advance the efficiency of our computers, so do they theirs, and for five years a precarious and profitless balance has existed.

“Now we have in our hands a method for going beyond the computer, leapfrogging it, passing through it. We will combine the mechanics of computation with human thought; we will have the equivalent of intelligent computers; billions of them. I can’t predict what the consequences will be in detail but they will be incalculable. And if Deneb beats us to the punch, they may be unimaginably catastrophic.”

The president said, troubled, “What would you have me do?”

“Put the power of the Administration behind the establishment of a secret project on human computation. Call it Project Number, if you like. I can vouch for my committee, but I will need the administration behind me.”

“But how far can human computation go?”

“There is no limit. According to Programmer Shuman, who first introduced me to this discovery—”

“I’ve heard of Shuman, of course.”

“Yes. Well, Dr. Shuman tells me that in theory there is nothing the computer can do that the human mind can not do. The computer merely takes a finite amount of data and performs a finite number of operations upon them. The human mind can duplicate the process.”

The president considered that. He said, “If Shuman says this, I am inclined to believe him—in theory. But, in practice, how can anyone know how a computer works?”

Brant laughed genially. “Well, Mr. President, I asked the same question. It seems that at one time computers were designed directly by human beings. Those were simple computers, of course, this being before the time of the rational use of computers to design more advanced computers had been established.”

“Yes, yes. Go on.”

“Technician Aub apparently had, as his hobby, the reconstruction of some of these ancient devices and in so doing he studied the details of their workings and found he could imitate them. The multiplication I just performed for you is an imitation of the workings of a computer.”

“Amazing!”

The congressman coughed gently, “If I may make another point, Mr. President—The further we can develop this thing, the more we can divert our Federal effort from computer production and computer maintenance. As the human brain takes over, more of our energy can be directed into peacetime pursuits and the impingement of war on the ordinary man will be less. This will be most advantageous for the party in power, of course.”

“Ah,” said the president, “I see your point. Well, sit down, Congressman, sit down. I want some time to think about this.—But meanwhile, show me that multiplication trick again. Let’s see if I can’t catch the point of it.”

Programmer Shuman did not try to hurry matters. Loesser was conservative, very conservative, and liked to deal with computers as his father and grandfather had.

Still, he controlled the West European computer combine, and if he could be persuaded to join Project Number in full enthusiasm, a great deal would be accomplished.

But Loesser was holding back. He said, “I’m not sure I like the idea of relaxing our hold on computers. The human mind is a capricious thing. The computer will give the same answer to the same problem each time. What guarantee have we that the human mind will do the same?”

“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 ‘graph’ 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 students. It made no difference to the general that they were the civilian scientists heading Project Number. The general was the over-all head, and he so considered himself at every waking moment.