Seldon’s Paradox
Rebellious young
psychohistorian is brought to see the emperor. The emperor says, “I know you
hate me, everybody does, my psychohistorians tell me this is so. I don’t mind,
people are as easy to control that way as any other. Just don’t try to do
anything about it. And don’t think you can use psychohistory against me. You
psychohistorians depend on me, for your training, your computer time, your
funds and your lives. If any other psychohistorian catches you making trouble,
then you will die. This empire is absolutely stable. History has reached its
final state.”
The
young psychohistorian almost objects out that’s impossible, by Seldon’s
Theorem; but a hunch warned him not to. Instead he blurts out, “Have you chosen
your successor?” After a moment of breath-holding silence, the emperor says,
“Yes of course, don’t ask stupid questions!”
The
psychohistorian leaves, thinking, “He’s wrong. History has no final state,
that’s Seldon’s Paradox. Hasn’t he heard that theorem? And if he’s already
reduced to threatening his own psychohistorians…!”
“But
he has a point. He does control psychohistory, or at least psychohistorians; so
he can predict and prevent rebellions.”
“It’s
a double-bind. I can’t work against him because he controls psychohistory; he
controls psychohistory because people like me can’t work against him. How to
break free of this?”
Musing
thus, he runs into another psychohistorian, who says, “You’re new here. I see
that you got the usual talking-to by His Majesty. You and I both know he’s
wrong. Do you know why?”
Warily,
“What do you mean, wrong?”
“Good,
you’re cautious. After all, I could be one of his agent provocateurs. Yes, of
course they exist, but don’t worry about them, they have their own problems.
Here’s why he’s wrong; apply Seldon’s Paradox to equation 12-17.”
“What?”
“Yes,
they don’t teach that in the schools, do they?”
“It’s
called a nonstandard operation.”
“Like
dividing by zero. But the differential calculus depends on something much like
dividing by zero… what else do they call it?”
The
young psychohistorian says, light dawning, “An illegal manipulation.”
“Have
you ever tried that application of the Paradox?”
“Never!”
“Of
course not,” said the older psychohistorian. “And the next time you don’t do
it, use Caldwell’s process instead of Thorbury’s.”
“Interesting…”
“And
consider this; he has a negative-alpha personality.”
Our
hero, suddenly nervous, says, “Who does?”
“Precisely.”
Our
hero rushes off.
At
home he doodled on his pad. Seldon’s Paradox; psychohistory cannot be
consistently applied to a society in which psychohistory is known. Any
prediction that it would make would change society in ways that nullify the
prediction. Equation 12-17; the “personal intuition” parameter, which describes
the average human’s personal ability to detect and harmonize with
psychohistorical trends. According to his old school, the Paradox doesn’t apply
to 12-17 because intuition isn’t strong enough to activate the antinomy; only
intellect is.
So
said his old school; they had even proved it. But this very proof he had long
distrusted. Is it proper for intellect to be the judge between intellect and
intuition?
More
doodling. Lo and behold, with the use of Cladwell’s process, the paradox does
apply to the equation. Quite nicely. In fact…
He
looks at his scratchpad, stunned. But this is astounding! Incredible!
No,
he realizes. More than incredible.
Revolutionary.
Next
day… he meets his friend. He says, “I tried what you suggested.”
The
older psychohistorian says, “What did you get?”
“An
amazing result. The intuition parameter equals
the global function!”
“Ah
yes… and the paradoxes?”
“Which
ones? Internal or external?”
“Either.”
“They’re
identical too. What’s unknowable to the individual is the same as what is
unpredictable for the psychohistorian measuring the society.”
“A
neat unity, that.”
“Yes,
and it means that the psychohistorian/psychohistory barrier doesn’t have to
exist.”
“You
mean it’s possible to have a society of psychohistorians?”
“I
mean that everybody is a psychohistorian already. To the extent that
psychohistory is possible at all.”
“But
what about the Tyranny Theorem?”
“It’s
no longer a theorem; actually it’s an assumption. If you accept the Paradox as
an aspect of all parts of society, then the need to keep psychohistorical
knowledge an elite secret vanishes. Psychohistorical rule becomes as unstable
as any other sort of rule, once the Paradox and its implications sink in. So
therefore…”
He
stops. Silence.
Friend:
“Yes?”
More
silence.
Friend:
“I see that an implication has sunken in.”
Nod.
“So
tell me; if the Psychohistorical Tyranny Theorem is not a mathematical
necessity, then what of the psychohistorical tyrant?”
More
silence.
“By
the way, I mentioned something about negative-alpha personalities. Include that
in your calculations.”
Next
day.
Friend:
“You look tired.”
“I
was up all night. At three I got the answer. I tried to go to sleep
afterwards.”
“So
what do you have?”
“Revolution.
It’s coming.”
“When?
Where? How?”
“The
equations give a … paradoxical answer. Quote. ‘Sooner than you think.’ Unquote.
I don’t know what that means exactly…”
Friend
laughs. “Good old Seldon’s wise equations! And the present-time parameter?”
“
‘Later than you think’.”
“Of
course. Can this revolution be stopped?”
“No.”
“Come
now. Any revolution can be stopped, with proper psychohistorical guidance.”
“Yes…
I should have said that it can be
stopped,” he said, staring hard at his friend, “but it won’t be.”
“Why
not? The emperor has his psychohistorians. He has his army, his spies and his
torturers. Why shouldn’t they give him correct guidance?”
“Because
to do so, someone would have to tell him what’s coming. Which will match up
with his intuition all too well.”
“Yes.
And?”
“He
has a negative-alpha personality. He would kill anyone who would tell him that
he’s doomed.”
Friend:
“That is correct. And not only his foolish informant, but anyone connected to
him.”
“So
it’s kept a secret.”
Friend
says, “Only from him. Everyone else knows, or guesses.”
“Everyone?
His spies? His generals?”
“Even
he knows, intuitively; but he won’t listen to his intuition when what it says
is uncomfortable.”
“That’s
negative-alpha for you.”
“Yes.
So nothing is mentioned, nothing is done, and nothing is prevented. The
revolution brews underneath a calm surface.”
“I
see. So the situation suggested by the equations already exists. I’m surprised
it’s gone so far so soon.”
“Remember
what the equations said; ‘sooner than you think’. We are well into the process.
Our data says that it will be less than three decades until outbreak.”
“How
much sooner?”
“Unpredictable;
and the later, the better. Best to not set off the inevitable prematurely! And
that can happen if some fool tells the emperor about it. This mustn’t happen.”
“That’s
obvious. Why are you telling me this?”
“Because
you’re new here, and the emperor always takes an interest in psychohistorians
newly arrived from the Institute. He’s subconsciously trying to weasel out the
truth from some unsuspecting youngster.”
“And
I’m it?”
“For
now. If you tell him the truth, you die. If you parrot Institute platitudes,
he’ll lose interest in you.”
“I see.”
“So are you going to
keep your mouth shut?”
“Of course.”
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