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"Good! Aub, multiply those numbers and please show the gentlemen your manner of doing it."
"Yes, Programmer," said Aub, ducking his head. He fished a small pad out of one shirt pocket and an
artist's hairline stylus out of the other. His forehead corrugated as he made painstaking marks on the
paper.
General Weider interrupted him sharply. "Let's see that."
Aub passed him the paper, and Weider said, "Well, it looks like the figure seventeen."
Congressman Brant nodded and said, "So it does, but I suppose anyone can copy figures off a
computer. I think I could make a passable seventeen myself, even without practice."
"If you will let Aub continue, gentlemen," said Shuman without heat.
Aub continued, his hand trembling a little. Finally he said in a low voice, "The answer is three hundred
and ninety-one."
Congressman Brant took out his computer a second time and nicked it, "By Godfrey, so it is. How did
he guess?"
"No guess, Congressman," said Shuman. "He computed that result. He did it on this sheet of paper."
"Humbug," said the general impatiently. "A computer is one thing and marks on paper are another."
"Explain, Aub," said Shuman.
"Yes, Programmer. Well, gentlemen, I write down seventeen and just underneath it, I write
twenty-three. Next, I say to myself: seven times three "
The congressman interrupted smoothly, "Now, Aub, the problem is seventeen times twenty-three."
"Yes, I know," said the little Technician earnestly, "but Istart by saying seven times three because that's
the way it works. Now seven times three is twenty-one."
"And how do you know that?" asked the congressman.
"I just remember it. It's always twenty-one on the computer. I've checked it any number of times."
"That doesn't mean it always will be, though, does it?" said the congressman.
"Maybe not," stammered Aub. "I'm not a mathematician. But I always get the right answers, you see."
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"Go on."
"Seven times three is twenty-one, so I write down twenty-one. Then one times three is three, so I write
down a three under the two of twenty-one."
"Why under the two?" asked Congressman Brant at once.
"Because " Aub looked helplessly at his superior for support. "It's difficult to explain."
Shuman said, "If you will accept his work for the moment, we can leave the details for the
mathematicians."
Brant subsided.
Aub said, "Three plus two makes five, you see, so the twenty-one become a fifty-one. Now you let that
go for a while and start fresh. You multiply seven and two, that's fourteen, and one and two, that's two.
Put them down like this and it adds up to thirty-four. Now if you put the thirty-four under the fifty-one
this way and add them, you get three hundred and ninety-one and that's the answer."
There was an instant's silence and then General Weider said, "I don't believe it. He goes through this
rigmarole and makes up numbers and multiplies and adds them this way and that, but I don't believe it.
It's too complicated to be anything but hornswoggling."
"Oh no, sir," said Aub hi a sweat, "It onlyseems complicated because you're not used to it. Actually, the
rules are quite simple and will work for any numbers."
"Any numbers, eh?" said the general. "Come then." He took out his own computer (a severely styled GI
model) and struck it at random. "Make a five seven three eight on the paper. That's five thousand seven
hundred and thirty-eight."
"Yes, sir," said Aub, taking a new sheet of paper.
"Now," (more punching of his computer), "seven two three nine. Seven thousand two hundred and
thirty-nine."
"Yes, sir."
"And now multiply those two."
"It will take some time," quavered Aub.
"Take the time," said the general.
"Go ahead, Aub," said Shuman crisply.
Aub set to work, bending low. He took another sheet of paper and another. The general took out his
watch finally and stared at it. "Are you through with your magic-making, Technician?"
"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.
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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 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, 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 "
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"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
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