"I"m almost done, sir. -Here it is, sir. Forty-one million, five hundred and thirty-seven thousand, three hundred and eighty-two." He showed the scrawled figures of the result.
General Weider smiled bitterly. He pushed the multiplication contact on his computer and let the numbers whirl to a halt. And then he stared and said in a surprised squeak, "Great Galaxy, the fella"s right."
The President of the Terrestrial Federation had grown haggard in office and, in private, he allowed a look of settled melancholy to appear on his sensitive features. The Denebian war, after its early start of vast movement and great popularity, had trickled down into a sordid matter of maneuver and countermaneuver, with discontent rising steadily on Earth. Possibly, it was rising on Deneb, too.
And now Congressman Brant, head of the important Committee on Military Appropriations, was cheerfully and smoothly spending his half-hour appointment spouting nonsense.
"Computing without a computer," said the president impatiently, "is a contradiction in terms."
"Computing," said the congressman, "is only a system for handling data. A machine might do it, or the human brain might. Let me give you an example." And, using the new skills he had learned, he worked out sums and products until the president, despite himself, grew interested.
"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, pa.s.sing 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 "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 ma.s.s-transference. Communications devices become less ma.s.sive and more efficient constantly. For that matter, compare your pocket computer with the ma.s.sive 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.
He said, "Now square roots are all fine. I can"t do them myself and I don"t understand the methods, but they"re fine. Still, the Project will not be sidetracked into what some of you call the fundamentals. You can play with graphitics any way you want to after the war is over, but right now we have specific and very practical problems to solve."
In a far corner, Technician Aub listened with painful attention. He was no longer a Technician, of course, having been relieved of his duties and a.s.signed to the project, with a fine-sounding t.i.tle and good pay. But, of course, the social distinction remained and the highly placed scientific leaders could never bring themselves to admit him to their ranks on a footing of equality. Nor, to do Aub justice, did he, himself, wish it. He was as uncomfortable with them as they with him.
The general was saying, "Our goal is a simple one, gentlemen; the replacement of the computer. A ship that can navigate s.p.a.ce without a computer on board can be constructed in one fifth the time and at one tenth the expense of a computer-laden ship. We could build fleets five times, ten times, as great as Deneb could if we could but eliminate the computer.
"And I see something even beyond this. It may be fantastic now; a mere dream; but in the future I see the manned missile!"
There was an instant murmur from the audience.
The general drove on. "At the present time, our chief bottleneck is the fact that missiles are limited in intelligence. The computer controlling them can only be so large, and for that reason they can meet the changing nature of anti-missile defenses in an unsatisfactory way. Few missiles, if any, accomplish their goal and missile warfare is coming to a dead end; for the enemy, fortunately, as well as for ourselves.
"On the other hand, a missile with a man or two within, controlling flight by graphitics, would be lighter, more mobile, more intelligent. It would give us a lead that might well mean the margin of victory. Besides which, gentlemen, the exigencies of war compel us to remember one thing. A man is much more dispensable than a computer. Manned missiles could be launched in numbers and under circ.u.mstances that no good general would care to undertake as far as computer-directed missiles are concerned-"
He said much more but Technician Aub did not wait.
Technician Aub, in the privacy of his quarters, labored long over the note he was leaving behind. It read finally as follows: "When I began the study of what is now called graphitics, it was no more than a hobby. I saw no more in it than an interesting amus.e.m.e.nt, an exercise of mind.
"When Project Number began, I thought that others were wiser than I; that graphitics might be put to practical use as a benefit to mankind, to aid in the production of really practical ma.s.s-transference devices perhaps. But now I see it is to be used only for death and destruction.
"I cannot face the responsibility involved in having invented graphitics."
He then deliberately turned the focus of a protein-depolarizer on himself and fell instantly and painlessly dead.
They stood over the grave of the little Technician while tribute was paid to the greatness of his discovery.
Programmer Shuman bowed his head along with the rest of them, but remained unmoved. The Technician had done his share and was no longer needed, after all. He might have started graphitics, but now that it had started, it would carry on by itself overwhelmingly, triumphantly, until manned missiles were possible with who knew what else.
Nine times seven, thought Shuman with deep satisfaction, is sixty-three, and I don"t need a computer to tell me so. The computer is in my own head.
And it was amazing the feeling of power that gave him.
Spell My Name with an S
Marshall Zebatinsky felt foolish. He felt as though there were eyes staring through the grimy store-front gla.s.s and across the scarred wooden part.i.tion; eyes watching him. He felt no confidence in the old clothes he had resurrected or the turned-down brim of a hat he never otherwise wore or the gla.s.ses he had left in their case.
He felt foolish and it made the lines in his forehead deeper and his young-old face a little paler.
He would never be able to explain to anyone why a nuclear physicist such as himself should visit a numerologist. (Never, he thought. Never.) h.e.l.l, he could not explain it to himself except that he had let his wife talk him into it.
The numerologist sat behind an old desk that must have been secondhand when bought. No desk could get that old with only one owner. The same might almost be said of his clothes. He was little and dark and peered at Zebatinsky with little dark eyes that were brightly alive.
He said, "I have never had a physicist for a client before, Dr. Zebatinsky."
Zebatinsky flushed at once. "You understand this is confidential."
The numerologist smiled so that wrinkles creased about the comers of his mouth and the skin around his chin stretched. "All my dealings are confidential."
Zebatinsky said, "I think I ought to tell you one thing. I don"t believe in numerology and I don"t expect to begin believing in it. If that makes a difference, say so now."
"But why are you here, then?"
"My wife thinks you may have something, whatever it is. I promised her and I am here." He shrugged and the feeling of folly grew more acute.
"And what is it you are looking for? Money? Security? Long life? What?"
Zebatinsky sat for a long moment while the numerologist watched him quietly and made no move to hurry his client.
Zebatinsky thought: What do I say anyway? That I"m thirty-four and without a future?
He said, "I want success. I want recognition."
"A better job?"
"A different different job. A different job. A different kind kind of job. Right now, I"m part of a team, working under orders. Teams! That"s all government research is. You"re a violinist lost in a symphony orchestra." of job. Right now, I"m part of a team, working under orders. Teams! That"s all government research is. You"re a violinist lost in a symphony orchestra."
"And you want to solo."
"I want to get out of a team and into-into me me." Zebatinsky felt carried away, almost lightheaded, just putting this into words to someone other than his wife. He said, "Twenty-five years ago, with my kind of training and my kind of ability, I would have gotten to work on the first nuclear power plants. Today I"d be running one of them or I"d be head of a pure research group at a university. But with my start these days where will I be twenty-five years from now? Nowhere. Still on the team. Still carrying my 2 per cent of the ball. I"m drowning in an anonymous crowd of nuclear physicists, and what I want is room on dry land, if you see what I mean."
The numerologist nodded slowly. "You realize, Dr. Zebatinsky, that I don"t guarantee success."
Zebatinsky, for all his lack of faith, felt a sharp bite of disappointment. "You don"t? Then what the devil do do you guarantee?" you guarantee?"
"An improvement in the probabilities. My work is statistical in nature. Since you deal with atoms, I think you understand the laws of statistics."
"Do you?" asked the physicist sourly.
"I do, as a matter of fact. I am a mathematician and I work mathematically. I don"t tell you this in order to raise my fee. That is standard. Fifty dollars. But since you are a scientist, you can appreciate the nature of my work better than my other clients. It is even a pleasure to be able to explain to you."
Zebatinsky said, "I"d rather you wouldn"t, if you don"t mind. It"s no use telling me about the numerical values of letters, their mystic significance and that kind of thing. I don"t consider that mathematics. Let"s get to the point-"
The numerologist said, "Then you want me to help you provided I don"t embarra.s.s you by telling you the silly nonscientific basis of the way in which I helped you. Is that it?"