Seldon did not budge.
The Emperor frowned slightly and, with the habit of command present even in the attempt to abolish it, at least temporarily, said peremptorily, "I said, 'Sit down,' man. That chair. Quickly."
Seldon sat down, quite speechless. He could not even bring himself to say, "Yes, Sire."
Cleon smiled. "That's better. Now we can talk like two fellow human beings, which, after all, is what we are once ceremony is removed. Eh, my man?"
Seldon said cautiously, "If Your Imperial Majesty is content to say so, then it is so."
"Oh, come, why are you so cautious? I want to talk to you on equal terms. It is my pleasure to do so. Humor me."
"Yes, Sire."
"A simple 'Yes,' man. Is there no way I can reach you?"
Cleon stared at Seldon and Seldon thought it was a lively and interested stare.
Finally the Emperor said, "You don't look like a mathematician."
At last, Seldon found himself able to smile. "I don't know what a mathematician is suppose to look like, Your Imp-"
Cleon raised a cautioning hand and Seldon choked off the honorific. Cleon said, "White-haired, I suppose. Bearded, perhaps. Old, certainly."
"Yet even mathematicians must be young to begin with."
"But they are then without reputation. By the time they obtrude themselves on the notice of the Galaxy, they are as I have described."
"I am without reputation, I'm afraid."
"Yet you spoke at this convention they held here."
"A great many of us did. Some were younger than myself. Few of us were granted any attention whatever."
"Your talk apparently attracted the attention of some of my officials. I am given to understand that you believe it possible to predict the future."
Seldon suddenly felt weary. It seemed as though this misinterpretation of his theory was constantly going to occur. Perhaps he should not have presented his paper.
He said, "Not quite, actually. What I have done is much more limited than that. In many systems, the situation is such that under some conditions chaotic events take place. That means that, given a particular starting point, it is impossible to predict outcomes. This is true even in some quite simple systems, but the more complex a system, the more likely it is to become chaotic. It has always been assumed that anything as complicated as human society would quickly become chaotic and, therefore, unpredictable. What I have done, however, is to show that, in studying human society, it is possible to choose a starting point and to make appropriate assumptions that will suppress the chaos. That will make it possible to predict the future, not in full detail, of course, but in broad sweeps; not with certainty, but with calculable probabilities."
The Emperor, who had listened carefully, said, "But doesn't that mean that you have shown how to predict the future?"
"Again, not quite. I have showed that it is theoretically possible, but no more. To do more, we would actually have to choose a correct starting point, make correct assumptions, and then find ways of carrying through calculations in a finite time. Nothing in my mathematical argument tells us how to do any of this. And even if we could do it all, we would, at best, only assess probabilities. That is not the same as predicting the future; it is merely a guess at what is likely to happen. Every successful politician, businessman, or human being of any calling must make these estimates of the future and do it fairly well or he or she would not be successful."
"They do it without mathematics."
"True. They do it by intuition."
"With the proper mathematics, anyone would be able to assess the probabilities. It wouldn't take the rare human being who is successful because of a remarkable intuitive sense."
"True again, but I have merely shown that mathematical analysis is possible; I have not shown it to be practical."
"How can something be possible, yet not practical?"
"It is theoretically possible for me to visit each world of the Galaxy and greet each person on each world. However, it would take far longer to do this than I have years to live and, even if I was immortal, the rate at which new human beings are being born is greater than the rate at which I could interview the old and, even more to the point, old human beings would die in great numbers before I could ever get to them."
"And is this sort of thing true of your mathematics of the future?" Seldon hesitated, then went on. "It might be that the mathematics would take too long to work out, even if one had a computer the size of the Universe working at hyperspatial velocities. By the time any answer had been received, enough years would have elapsed to alter the situation so grossly as to make the answer meaningless."
"Why cannot the process be simplified?" Cleon asked sharply.
"Your Imperial Majesty,"-Seldon felt the Emperor growing more formal as the answers grew less to his liking and responded with greater formality of his own, "consider the manner in which scientists have dealt with subatomic particles. There are enormous numbers of these, each moving or vibrating in random and unpredictable manner, but this chaos turns out to have an underlying order, so that we can work out a quantum mechanics that answers all the questions we know how to ask. In studying society, we place human beings in the place of subatomic particles, but now there is the added factor of the human mind. Particles move mindlessly; human beings do not. To take into account the various attitudes and impulses of mind adds so much complexity that there lacks time to take care of all of it."
"Could not mind, as well as mindless motion, have an underlying order?"