'Good afternoon, Marvin,' his father said, startled but hiding it well. 'I must say, you turn up in some unexpected places.'

'I could say the same of you,' Marvin said.

His father frowned, adjusted his necktie and changed his briefcase to the other hand. 'There is nothing strange about me being here,' he told his son. 'Usually your mother drives me home from the station. But today she was delayed, and so I walked. Since I was walking, I decided to take the shortcut which goes over one side of the golf course.'

'I see,' Marvin said.

'I will admit,' his father continued, 'that this shortcut seems to have become a 'long' cut, as one might express it, for I estimate that I have been walking through this countryside for the better part of an hour, if not longer.'

'Dad,' Marvin said, 'I don't know how to tell you this, but the fact is, you are no longer on Earth.'

'I find nothing humorous about a remark like that,' his father stated. 'Doubtless I have gone out of my way; nor is the style of architecture what I would normally expect to find in New York State. But I am quite certain that if I continue along this road for another hundred yards or so, it will lead into Annandale Avenue, which in turn will take me to the intersection of Maple Street and Spruce Lane. From there, of course, I can easily find my way home.'

'I suppose you're right,' Marvin said. He had never been able to win an argument from his father.

'I must be getting along,' his father said. 'By the way, Marvin, were you aware that you have some sort of obstruction in your nose?'

'Yes sir,' Marvin said. 'It's a bomb.'

His father frowned deeply, pierced him with a glance, shook his head regretfully, and marched on down the road.

'I don't understand it,' Marvin remarked later to Valdez. 'Why are all of these people finding me? It just doesn't seem natural.'

'It isn't natural,' Valdez assured him. 'But it is inevitable, which is much more important.'

'Maybe it is inevitable,' Marvin said. 'But it is also highly improbable.'

'True.' Valdez agreed. 'Although we prefer to call that a forced-probability; which is to say, it is an indeterminate concomitant of the Theory of Searches.'

'I'm afraid I don't fully understand that,' Marvin said.

'Well, it's simple enough. The Theory of Searches is a pure theory; which is to say that on paper it works every time, with no conceivable refutation. But once we take the pure and ideal and attempt to make practical applications, we encounter difficulties, the foremost of which is the phenomenon of indeterminacy. To put it in its simplest terms, what happens is this: the presence of the Theory interferes with the working of the Theory. You see, the Theory cannot take into account the effect of its own existence upon itself. Ideally, the Theory of Searches exists in a universe in which there is no Theory of Searches. But practically – which is our concern here – the Theory of Searches exists in a world in which there is a Theory of Searches, which has what we call a 'mirroring' or 'doubling' effect upon itself. According to some thinkers, there is a very real danger of 'infinite duplication', in which the Theory endlessly modifies itself in terms of prior modifications of the Theory by the Theory, coming at last to a state of entropy, in which all possibilities are equally valued. This argument is known as Von Gruemann's Fallacy, in which the error of implying causality to mere sequence is self-evident. Does it become more clear?'

'I think so,' Marvin said. 'The only thing I don't understand is, exactly what effect does the existence of the Theory have upon the Theory?'

'I thought I had explained that,' Valdez said. 'The primary, or 'natural' effect of a Theory of Searches upon a Theory of Searches is of course to increase the value of lambda-chi.'

'Hmm,' said Marvin.

'Lambda-chi is, of course, the symbolic representation of the inverse ratio of all possible searches to all possible finds. Thus, when lambda-chi is increased through indeterminacy or other factors, the possibility of search- failure is rapidly reduced to a figure near zero, while the possibility of search-success expands quickly towards one. This is known as the Set-Expansion Factor.'

'Does that mean,' Marvin asked, 'that because of the effect of the Theory of Searches on the Theory of Searches, which results in the Set-Expansion Factor, that all searches will be successful?'

'Exactly,' Valdez said. 'You have expressed it beautifully, though perhaps with insufficient rigour. All possible searches will be successful during the time, or duration, of the Set-Expansion Factor.'

'I understand now,' Marvin said. 'According to the theory, I must find Cathy.'

'Yes,' Valdez said. 'You must find Cathy; as a matter of fact, you must find everyone. The only limitation is the Set-Expansion factor, or S-E.'

'Oh?' Marvin asked.

'Well, naturally, all searches can only be successful during the time, or duration, of S-E. But the duration of S-E is a variable which can last no less than 6.3 microseconds and no more than 1,005.34543 years.'

'How long will S-E last in my particular case?' Marvin asked.

'A lot of us would like to know the answer to that one,' Valdez said, with a hearty chuckle.

'You mean that you don't know?'

'I mean that it has been the labour of several lifetimes simply to discover the existence of the Set- Expansion Factor. To determine an exact numerical solution for it for all possible cases would be possible, I suppose, if S-E were a mere variable. But it happens to be a contingent variable, which is a very different kettle of fish. You see, the calculus of contingencies is a rather new branch of mathematics, and one that no one can pretend to have mastered.'

'I was afraid of that,' Marvin said.

'Science is a cruel taskmaster,' Valdez agreed. Then he winked cheerfully and said, 'But of course, even the cruellest taskmasters can be evaded.'

'Do you mean to say there is a solution?' Marvin cried.

'Not a legitimate one, unfortunately,' Valdez said. 'It is what we Search Theorists call a 'bootleg solution'. That is to say, it is a pragmatic application of a formula that, statistically, has had a high degree of correlation with required solutions. But as a theory, there are no rational grounds for presuming its validity.'

'Still,' Marvin said, 'if it works, let's try it out.'

'I would really rather not,' Valdez said. 'Irrational formulae, no matter what their apparent degree of success, are distasteful to me, containing, as they do, distressing hints that the supreme logic of mathematics might be founded ultimately upon gross absurdities.'

'I insist,' Marvin said. 'After all, I am the one who is Searching.'

'That has nothing to do with it, mathematically speaking,' Valdez said. 'But I suppose you would give me no peace unless I indulged you.'

Valdez sighed unhappily, schlepped a piece of paper and a stub pencil out of his rebozo, and asked, 'How many coins do you have in your pocket?'

Marvin looked and replied, 'Eight.'

Valdez wrote down the result, then asked for the date of Marvin's birth, his social-security number, his shoe size, and height in centimetres. To this he gave a numerical value. He asked Marvin to pick a number at random between 1 and 14. With this, he added several figures of his own, then scribbled and calculated for several minutes.

'Well?' Marvin asked.

'Remember, this result is merely statistically probable,' Valdez said, 'and has no other grounds for credence.'

Marvin nodded. Valdez said, 'The duration of the Set-Expansion Factor, in your particular case, is due to expire in exactly one minute and forty-eight seconds, plus or minus five minimicroseconds.'

Marvin was about to protest vehemently about the unfairness of this, and to ask why Valdez hadn't made that vital calculation earlier. But then he looked down upon the road, now glowing a singular white against the rich

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