“I have a question,” he announced. “Why, after writing three perfectly respectable essays about scientific inference, has anyone thought it necessary to rewrite them as fairy tales?”
Professor Quillibrace put down his newspaper.
“Were they fairy tales?”
“Kingdoms, gardens, mysterious rivers, invisible inhabitants, cartographers wandering about with maps that don't work. What would you call them?”
“Cartographic research under adverse conditions,” Quillibrace suggested.
Miss Elowen Stray smiled. “What did you make of them?”
“I found them readable.”
“An encouraging beginning.”
“But I remain unconvinced of their intellectual value. If the argument is that scientific evidence constrains our explanations without uniquely determining them, say so. If a successful scientific concept does not establish the existence of the entity it proposes, say so. And if an anomaly may require us to reconsider our explanatory assumptions, say so. Why must we first send the reader to a kingdom at the end of the world?”
“Perhaps,” said Quillibrace, “because the reader has already been told all three things.”
“Then the reader should understand them.”
“Understanding an argument and recognising its implications are not necessarily the same achievement.”
Blottisham drew up a chair.
“I recognise a distinction when I see one.”
“Excellent. Then let us examine the distinction between an argument and an allegory.”
“I was hoping we might.”
Quillibrace folded his newspaper. “An argument attempts to establish a conclusion through reasons. An allegory arranges a situation in which a pattern of relations becomes perceptible. They may concern the same problem, but they do not do the same work.”
“An allegory, then, is an argument in disguise.”
“Not necessarily. That would imply that the story's proper function was to conceal an argument until someone extracted it.”
“Surely the point must be to communicate something.”
“Certainly,” said Elowen. “But communication need not consist entirely of stating propositions.”
Blottisham looked sceptical.
“Take the garden,” she continued. “A strange stone appears in a territory that the cartographers believe they understand. Their existing maps cannot accommodate it. They develop different accounts, explore the territory, and discover that their attempts to understand it alter the paths they take and the questions they ask. The garden does not simply conform to their expectations.”
“That is scientific inference,” Blottisham said. “In elementary form.”
“Yes. But what does the story allow you to notice?”
“That the cartographers need better maps.”
“Do they?”
“Obviously.”
“Then why do they keep finding that a better map of one part of the garden does not settle the questions arising elsewhere?”
“Because they haven't finished mapping it.”
“Perhaps. But the story also allows the possibility that no single map will do everything they want of it.”
Blottisham considered this.
“That is hardly a revolutionary proposition.”
“No,” said Elowen. “The value of an allegory need not lie in revealing a proposition nobody has heard before. It may lie in making a familiar proposition newly available for thought.”
Quillibrace nodded.
“An argument can tell you that evidence does not dictate a unique explanation. The garden gives you a succession of people trying to make explanations work, discovering their limitations, and learning from one another. You see the problem unfold in time.”
“Which makes the argument longer,” Blottisham observed.
“Only if length is your measure.”
“It is one measure.”
“Of course. But the relevant question is what the additional material contributes. If the story merely repeats the argument in decorative language, your objection is sound. If it enables the reader to follow relations, tensions, and consequences that are less readily apprehended in abstract formulation, the decoration may not be decorative at all.”
Blottisham glanced at the first book.
“I grant that the garden is a tolerable way of presenting the limitations of scientific explanation. But the second story is more troublesome.”
“The Kingdom of the Unseen?” asked Elowen.
“Precisely. The astronomers infer an invisible figure from the movements of the stars. Their account proves useful. The figure acquires a name, properties, territory, and eventually a statue. Then we are asked to distinguish the success of the explanation from the certainty that the entity exists as described. Surely that is just the old philosophical problem of realism dressed up in a cloak.”
“Would you prefer it without the cloak?” asked Quillibrace.
“I would prefer it stated plainly.”
“It is stated plainly in the essay.”
“Then why the story?”
Elowen turned one of the books towards him.
“Because the story lets you watch the transition. At first, the astronomers say their calculations require an additional contribution. Later, they speak as though the figure itself gathers, influences, and acts. A useful concept gradually becomes an inhabitant of their world. The story gives that change a history.”
“But the history does not establish whether the entity exists.”
“Exactly.”
“Then what has been gained?”
“The opportunity to notice how easily those are two different questions,” she replied, “and how readily we move from one to the other without noticing that we have moved.”
Quillibrace added, “The essay can identify the distinction. The allegory can make the transition itself the object of attention.”
Blottisham tapped the cover thoughtfully.
“I begin to see the intention. The story makes the process memorable.”
“Memory is not nothing,” said Quillibrace.
“No, but neither is it understanding.”
“Agreed,” said Elowen. “And the story does not absolve the reader from thinking. It gives the reader something to think about.”
Blottisham looked relieved. At last, he had discovered a concession.
“Then we agree that the allegory is subordinate to the argument.”
“Subordinate in what respect?” asked Elowen.
“In truth, naturally. The scientific argument concerns the actual world. The kingdom is imaginary.”
“Certainly. We cannot infer the nature of dark matter from the habits of an imaginary astronomer. But does that mean the imaginary kingdom has nothing to contribute to our understanding of how scientific concepts acquire authority?”
“I should hope not.”
“Then perhaps the relation is not quite the one you propose. The allegory depends on the problem that gives rise to it, but it can also direct our attention to aspects of that problem that we might otherwise pass over.”
Blottisham hesitated.
“Are you suggesting that fiction can improve scientific reasoning?”
“I am suggesting that the ways we approach a problem affect what we notice about it. Scientific reasoning remains accountable to evidence. But our capacity to recognise a question, distinguish its parts, or imagine an alternative way of approaching it is not exhausted by the formal structure of an argument.”
Quillibrace regarded her approvingly.
“Which brings us to the third kingdom.”
Blottisham sighed. “The river.”
“The river,” Elowen agreed. “The surveyors repeatedly revise their maps to accommodate a river that behaves in unexpected ways. Eventually, they begin to ask whether the difficulty lies only in their answers or also in the relations through which they have organised the problem.”
“Which is the point of the third essay,” Blottisham said. “An anomaly may require a different way of asking the question.”
“Indeed. But notice what the story does not do. It does not declare the existing maps worthless. It does not announce that the river is inexplicable. Nor does it reveal a hidden, perfect map that resolves everything.”
“Because that would spoil the argument.”
“Because the situation does not warrant such a conclusion,” she replied. “The surveyors must continue working. Their maps remain useful, their observations matter, and their uncertainty persists.”
Quillibrace leaned back.
“That seems to me the important feature shared by all three allegories. They do not supply new scientific evidence or settle scientific questions. They place familiar problems in a form that lets us follow the relations among what is known, what is inferred, and what remains open.”
Blottisham was silent for a moment.
“So the reader is expected to draw the appropriate parallels.”
“Some parallels,” said Elowen. “But not necessarily to translate every feature of the story into a technical counterpart. The garden is not a complete model of scientific practice; the unseen figure is not a definitive account of scientific realism; the river is not a theory of dark matter. Each story concentrates attention on a problem without claiming to reproduce the whole domain in which it arises.”
“And if the reader draws the wrong parallel?”
“Then the reader has more thinking to do.”
“That is a remarkably convenient answer.”
“Not entirely. An interpretation must still answer to the story. It should account for what happens, attend to the details, and make sense of the relations the narrative develops. Openness does not mean that anything goes.”
Quillibrace smiled.
“Even imaginary kingdoms have constraints, Blottisham.”
“An obvious point.”
“Then we are fortunate to have established it.”
Blottisham ignored him.
“I will concede that the stories may direct attention to certain features of the arguments. I remain doubtful that they add anything essential.”
“Essential to what?” asked Elowen.
“To establishing the conclusions.”
“Then I agree. They are not substitutes for the essays.”
“To demonstrating the evidence?”
“Certainly not.”
“To determining whether dark matter exists?”
“Absolutely not.”
Blottisham looked triumphant.
“But,” Elowen continued, “if the question is whether they can help a reader inhabit the problems, recognise their structure, and see why they remain open, I think they have done something worthwhile.”
“‘Inhabit the problems’,” Blottisham repeated. “A curious expression.”
“You inhabit a problem when you follow its demands rather than merely repeat its description. You discover where one line of thought leads, what it leaves unresolved, and why another possibility becomes worth considering.”
“Which is what one does when reasoning.”
“Yes,” she said. “But reasoning can begin in more than one place.”
For once, Blottisham did not reply immediately.
He gathered the three books into a neat pile.
“I shall have to think about this.”
Quillibrace raised an eyebrow. “In an imaginary kingdom?”
“Certainly not. I shall think about it in the real world, where intellectual work belongs.”
He paused at the door.
“Though I may reread the story about the garden. The cartographers were rather interesting.”
When he had gone, Quillibrace turned to Elowen.
“Do you think he has understood?”
“I think he has found another question.”
“Which is not the same thing.”
“No,” she said. “But it is not a bad place to begin.”
Outside, the afternoon light lay across the garden. The old map still marked a path where a tree now stood. No one had yet decided whether the map needed correcting, the path needed moving, or the garden had simply become larger than anyone had imagined.
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