by Brian Aldiss
‘Light!’ Theremon screamed.
Aton, somewhere, was whimpering horribly like a frightened child. ‘Stars – all the Stars – we didn’t know at all. We didn’t know anything. We thought six stars in a universe is something the Stars didn’t notice is Darkness forever and ever and ever and the walls are breaking in and we didn’t know we couldn’t know and anything –’
Someone clawed at the torch, and it fell and snuffed out. In that instant, the awful splendour of the Stars leaped nearer to them.
On the horizon outside the window, in the direction of Saro City, a crimson glow began growing, strengthening in brightness, that was not the glow of a sun.
The long night had come again.
The Snowball Effect
KATHERINE MACLEAN
‘All right,’ I said, ‘what is sociology good for?’
Wilton Caswell, PhD, was head of my Sociology Department, and right then he was mad enough to chew nails. On the office wall behind him were three or four framed documents in Latin, but I didn’t care at that moment if he papered the walls with his degrees. I had been appointed dean and president to see to it that the university made money. I had a job to do, and I meant to do it.
He bit off each word with great restraint: ‘Sociology is the study of social institutions, Mr Halloway.’
I tried to make him understand my position. ‘Look, it’s the big-money men who are supposed to be contributing to the support of this college. To them, sociology sounds like socialism – nothing can sound worse than that – and an institution is where they put Aunt Maggy when she began collecting Wheaties in a stamp album. We can’t appeal to them that way. Come on now.’ I smiled condescendingly, knowing it would irritate him. ‘What are you doing that’s worth anything?’
He glared at me, his white hair bristling and his nostrils dilated like a war horse about to whinny. I can say one thing for them – these scientists and professors always keep themselves well under control. He had a book in his hand and I was expecting him to throw it, but he spoke instead:
‘This department’s analysis of institutional accretion, by the use of open system mathematics, has been recognized as an outstanding and valuable contribution to –’
The words were impressive, whatever they meant, but this still didn’t sound like anything that would pull in money. I interrupted, ‘Valuable in what way?’
He sat down on the edge of his desk thoughtfully, apparently recovering from the shock of being asked to produce something solid for his position, and ran his eyes over the titles of the books that lined his office walls.
‘Well, sociology has been valuable to business in initiating worker efficiency and group motivation studies, which they now use in management decisions. And, of course, since the depression, Washington has been using sociological studies of employment, labour, and standards of living as a basis for its general policies of –’
I stopped him with both hands raised. ‘Please, Professor Caswell! That would hardly be a recommendation. Washington, the New Deal and the present Administration are somewhat touchy subjects to the men I have to deal with. They consider its value debatable, if you know what I mean. If they got the idea that sociology professors are giving advice and guidance – No, we have to stick to brass tacks and leave Washington out of this. What, specifically, has the work of this specific department done that would make it as worthy to receive money as – say, a heart disease research fund?’
He began to tap the corner of his book absently on the desk, watching me. ‘Fundamental research doesn’t show immediate effects, Mr Halloway, but its value is recognized.’
I smiled and took out my pipe. ‘All right, tell me about it. Maybe I’ll recognize its value.’
Prof. Caswell smiled back tightly. He knew his department was at stake. The other departments were popular with donors and pulled in gift money by scholarships and fellowships, and supported their professors and graduate students by research contracts with the government and industry. Caswell had to show a way to make his own department popular – or else.
He laid down his book and ran a hand over his ruffled hair. ‘Institutions – organizations, that is –’ his voice became more resonant; like most professors, when he had to explain something he instinctively slipped into his platform lecture mannerisms, and began to deliver an essay – ‘have certain tendencies built into the way they happen to have been organized, which cause them to expand or contract without reference to the needs they were founded to serve.’
He was becoming flushed with the pleasure of explaining his subject. ‘All through the ages, it has been a matter of wonder and dismay to men that a simple organization – such as a church to worship in, or a delegation of weapons to a warrior class merely for defence against an outside enemy – will either grow insensately and extend its control until it is a tyranny over their whole lives, or, like other organizations set up to serve a vital need, will tend to repeatedly dwindle and vanish, and have to be painfully rebuilt.
‘The reason can be traced to little quirks in the way they were organized, a matter of positive and negative power feedbacks. Such simple questions as, “Is there a way a holder of authority in this organization can use the power available to him to increase his power?” provide the key. But it still could not be handled until the complex questions of interacting motives and long-range accumulations of minor effects could somehow be simplified and formulated. In working on the problem, I found that the mathematics of open system, as introduced to biology by Ludwig von Bertalanffy and George Kreezer, could be used as a base that would enable me to develop a specifically social mathematics, expressing the human factors of intermeshing authority and motives in simple formulas.
‘By these formulations, it is possible to determine automatically the amount of growth and period of life of any organization. The UN, to choose an unfortunate example, is a shrinker type organization. Its monetary support is not in the hands of those who personally benefit by its governmental activities, but, instead, in the hands of those who would personally lose by any extension and encroachment of its authority on their own. Yet by the use of formula analysis –’
‘That’s theory,’ I said. ‘How about proof?’
‘My equations are already being used in the study of limited-size Federal corporations. Washington –’
I held up my palm again. ‘Please, not that nasty word again. I mean, where else has it been put into operation? Just a simple demonstration, something to show that it works, that’s all.’
He looked away from me thoughtfully, picked up the book and began to tap it on the desk again. It had some unreadable title and his name on it in gold letters. I got the distinct impression again that he was repressing an urge to hit me with it.
He spoke quietly. ‘All right. I’ll give you a demonstration. Are you willing to wait six months?’
‘Certainly, if you can show me something at the end of that time.’
Reminded of time, I glanced at my watch and stood up.
‘Could we discuss this over lunch?’ he asked.
‘I wouldn’t mind hearing more, but I’m having lunch with some executors of a millionaire’s will. They have to be convinced that by “furtherance of research into human ills” he meant that the money should go to research fellowships for postgraduate biologists at the university, rather than to a medical foundation.’
‘I see you have your problems, too,’ Caswell said, conceding me nothing. He extended his hand with a chilly smile. ‘Well, good afternoon, Mr Halloway. I’m glad we had this talk.’
I shook hands and left him standing there, sure of his place in the progress of science and the respect of his colleagues, yet seething inside because I, the president and dean, had boorishly demanded that he produce something tangible.
My job isn’t easy. For a crumb of favourable publicity and respect in the newspapers and an annual ceremony in a silly costume, I spend the rest of the year going hat in hand, asking politely for money
at everyone’s door, like a well-dressed panhandler, and trying to manage the university on the dribble I get. As far as I was concerned, a department had to support itself or be cut down to what student tuition pays for, which is a handful of overcrowded courses taught by an assistant lecturer. Caswell had to make it work or get out.
But the more I thought about it, the more I wanted to hear what he was going to do for a demonstration.
At lunch, three days later, while we were waiting for our order, he opened a small notebook. ‘Ever hear of feedback effects?’
‘Not enough to have it clear.’
‘You know the snowball effect though.’
‘Sure, start a snowball rolling downhill and it grows.’
‘Well, now –’ He wrote a short line of symbols on a blank page and turned the notebook around for me to inspect it. ‘Here’s the formula for the snowball process. It’s the basic general growth formula – covers everything.’
It was a row of little symbols arranged like an algebra equation. One was a concentric spiral going up, like a cross-section of a snowball rolling in snow. That was a growth sign.
I hadn’t expected to understand the equation, but it was almost as clear as a sentence. I was impressed and slightly intimidated by it. He had already explained enough so that I knew that, if he was right, here was the growth of the Catholic Church and the Roman Empire, the conquests of Alexander and the spread of the smoking habit and the change and rigidity of the unwritten law of styles.
‘Is it really as simple as that?’ I asked.
‘You notice,’ he said, ‘that when it becomes too heavy for the cohesion strength of snow, it breaks apart. Now in human terms –’
The chops and mashed potatoes and peas arrived.
‘Go on,’ I urged.
He was deep in the symbology of human motives and the equations of human behaviour in groups. After running through a few different types of grower and shrinker type organizations, we came back to the snowball, and decided to run the test by making something grow.
‘You add the motives,’ he said, ‘and the equation will translate them into organization.’
‘How about a good selfish reason for the ins to drag others into the group – some sort of bounty on new members, a cut of their membership fee?’ I suggested uncertainly, feeling slightly foolish. ‘And maybe a reason why the members would lose if any of them resigned, and some indirect way they could use to force each other to stay in.’
‘The first is the chain letter principle,’ he nodded. ‘I’ve got that. The other…’ He put the symbols through some mathematical manipulation so that a special grouping appeared in the middle of the equation. ‘That’s it.’
Since I seemed to have the right idea, I suggested some more, and he added some, and juggled them around in different patterns. We threw out a few that would have made the organization too complicated, and finally worked out an idyllically simple and deadly little organization set-up where joining had all the temptation of buying a sweepstakes ticket, going in deeper was as easy as hanging around a race track, and getting out was like trying to pull free from a Malayan thumb trap. We put our heads closer together and talked lower, picking the best place for the demonstration.
‘Abington?’
‘How about Watashaw? I have some student sociological surveys of it already. We can pick a suitable group from that.’
‘This demonstration has got to be convincing. We’d better pick a little group that no one in his right mind would expect to grow.’
‘There should be a suitable club –’
‘Ladies,’ said the skinny female chairman of the Watashaw Sewing Circle. ‘Today we have guests.’ She signalled for us to rise, and we stood up, bowing to polite applause and smiles. ‘Professor Caswell, and Professor Smith.’ (My alias.) ‘They are making a survey of the methods and duties of the clubs of Watashaw.’
We sat down to another ripple of applause and slightly wider smiles, and then the meeting of the Watashaw Sewing Circle began. In five minutes I began to feel sleepy.
There were only about thirty people there, and it was a small room, not the halls of Congress, but they discussed their business of collecting and repairing second-hand clothing for charity with the same endless boring parliamentary formality.
I pointed out to Caswell the member I thought would be the natural leader, a tall, well-built woman in a green suit, with conscious gestures and a resonant, penetrating voice, and then went into a half doze while Caswell stayed awake beside me and wrote in his notebook. After a while the resonant voice roused me to attention for a moment. It was the tall woman holding the floor over some collective dereliction of the club. She was being scathing.
I nudged Caswell and murmured, ‘Did you fix it so that a shover has a better chance of getting into office than a non-shover?’
‘I think there’s a way they could find for it,’ Caswell whispered back, and went to work on his equation again. ‘Yes, several ways to bias the elections.’
‘Good. Point them out tactfully to the one you select. Not as if she’d use such methods, but just as an example of the reason why only she can be trusted with initiating the change. Just mention all the personal advantages an unscrupulous person could have.’
He nodded, keeping a straight and sober face as if we were exchanging admiring remarks about the techniques of clothes repairing, instead of conspiring.
After the meeting, Caswell drew the tall woman in the green suit aside and spoke to her confidentially, showing her the diagram of organization we had drawn up. I saw the responsive glitter in the woman’s eyes and knew she was hooked.
We left the diagram of organization and our typed copy of the new by-laws with her and went off soberly, as befitted two social science experimenters. We didn’t start laughing until our car passed the town limits and began the climb for University Heights.
If Caswell’s equations meant anything at all, we had given that sewing circle more growth drives than the Roman Empire.
Four months later I had time out from a very busy schedule to wonder how the test was coming along. Passing Caswell’s office, I put my head in. He looked up from a student research paper he was correcting.
‘Caswell, about that sewing club business – I’m beginning to feel the suspense. Could I get an advance report on how it’s coming?’
‘I’m not following it. We’re supposed to let it run the full six months.’
‘But I’m curious. Could I get in touch with that woman – what’s her name?’
‘Searles. Mrs George Searles.’
‘Would that change the results?’
‘Not in the slightest. If you want to graph the membership rise, it should be going up in a log curve, probably doubling every so often.’
I grinned. ‘If it’s not rising, you’re fired.’
He grinned back. ‘If it’s not rising, you won’t have to fire me – I’ll burn my books and shoot myself.’
I returned to my office and put in a call to Watashaw.
While I was waiting for the phone to be answered, I took a piece of graph paper and ruled it off into six sections, one for each month. After the phone had rung in the distance for a long time, a servant answered with a bored drawl:
‘Mrs Searles’ residence.’
I picked up a red gummed star and licked it.
‘Mrs Searles, please.’
‘She’s not in just now. Could I take a message?’
I placed the star at the thirty line in the beginning of the first section. Thirty members they’d started with.
‘No, thanks. Could you tell me when she’ll be back?’
‘Not until dinner. She’s at the meetin’.’
‘The sewing club?’ I asked.
‘No, sir, not that thing. There isn’t any sewing club any more, not for a long time. She’s at the Civic Welfare meeting.’
Somehow I hadn’t expected anything like that.
‘Thank you,’ I said and hung up, an
d after a moment noticed I was holding a box of red gummed stars in my hand. I closed it and put it down on top of the graph of membership in the sewing circle. No more members…
Poor Caswell. The bet between us was ironclad. He wouldn’t let me back down on it even if I wanted. He’d probably quit before I put through the first slow move to fire him. His professional pride would be shattered, sunk without a trace. I remembered what he said about shooting himself. It had seemed funny to both of us at the time, but… What a mess that would make for the university.
I had to talk to Mrs Searles. Perhaps there was some outside reason why the club had disbanded. Perhaps it had not just died.
I called back. ‘This is Professor Smith,’ I said, giving the alias I had used before. ‘I called a few minutes ago. When did you say Mrs Searles will return?’
‘About six-thirty or seven o’clock.’
Five hours to wait.
And what if Caswell asked me what I had found out in the meantime? I didn’t want to tell him anything until I had talked it over with that woman Searles first.
‘Where is this Civic Welfare meeting?’
She told me.
Five minutes later, I was in my car, heading for Watashaw, driving considerably faster than usual and keeping a careful watch for highway patrol cars as the speedometer climbed.
The town meeting hall and theatre was a big place, probably with lots of small rooms for different clubs. I went in through the centre door and found myself in the huge central hall where some sort of rally was being held. A political-type rally – you know, cheers and chants, with bunting already down on the floor, people holding banners, and plenty of enthusiasm and excitement in the air. Someone was making a speech up on the platform. Most of the people there were women.
I wondered how the Civil Welfare League could dare hold its meeting at the same time as a political rally that could pull its members away. The group with Mrs Searles was probably holding a shrunken and almost memberless meeting somewhere in an upper room.
There probably was a side door that would lead upstairs.