Edgar Allan Poe

“ The mathematics are the science of form and quantity; mathematical reasoning is merely logic applied to observation upon form and quantity. The great error lies in supposing that even the truths of what is called pure algebra, are abstract or general truths. And this error is so egregious that I am confounded at the universality with which it has been received. Mathematical axioms are not axioms of general truth. What is true of relation—of form and quantity—is often grossly false in regard to morals, for example. ”

“ I said, “of the reasoner’s intellect with that of his opponent, depends, if I understand you aright, upon the accuracy with which the opponent's intellect is admeasured.”
“For its practical value it depends upon this,” replied Dupin; “and the Prefect and his cohort fail so frequently first, by default of this identification, and, secondly, by ill-admeasurement, or rather through non-admeasurement, of the intellect with which they are engaged. They consider only their own ideas of ingenuity; and, in searching for anything hidden, advert only to the modes in which they would have hidden it. ”

“ The Minister I believe has written learnedly on the Differential Calculus. He is a mathematician, and no poet.”
“You are mistaken; I know him well; he is both. As poet and mathematician, he would reason well; as mere mathematician, he could not have reasoned at all, and thus would have been at the mercy of the Prefect.” ”

“ Do you not see he has taken it for granted that all men proceed to conceal a letter,—not exactly in a gimlet-hole bored in a chair-leg—but, at least, in some out-of-the-way hole or corner suggested by the same tenor of thought which would urge a man to secrete a letter in a gimlet-hole bored in a chair-leg? And do you not see also, that such recherché nooks for concealment are adapted only for ordinary occasions, and would be adopted only by ordinary intellects ”

“ In the consideration of motive it fails; for two motives, each of a given value, have not, necessarily, a value when united, equal to the sum of their values apart. There are numerous other mathematical truths which are only truths within the limits of relation. But the mathematician argues, from his finite truths, through habit, as if they were of an absolutely general applicability—as the world indeed imagines them to be. ”

“ But he perpetually errs by being too deep or too shallow, for the matter in hand; and many a schoolboy is a better reasoner than he. I knew one about eight years of age, whose success at guessing in the game of ‘even and odd’ attracted universal admiration. ”

“ They are right in this much—that their own ingenuity is a faithful representative of that of the mass; but when the cunning of the individual felon is diverse in character from their own, the felon foils them, of course. This always happens when it is above their own, and very usually when it is below. ”

“ It is not more true in the former, that a large body is with more difficulty set in motion than a smaller one, and that its subsequent momentum is commensurate with this difficulty, than it is, in the latter, that intellects of the vaster capacity, while more forcible, more constant, and more eventful in their movements than those of inferior grade, are yet the less readily moved, and more embarrassed and full of hesitation in the first few steps of their progress. ”

“ Who would dare———”
“The thief,” said G., “is the Minister D———, who dares all things, those unbecoming as well as those becoming a man. The method of the theft was not less ingenious than bold. The document in question—a letter, to be frank—had been received by the personage robbed while alone in the royal boudoir. During its perusal she was suddenly interrupted by the entrance of the other exalted personage from whom especially it was her wish to conceal it. After a hurried and vain endeavour to thrust it in a drawer, she was forced to place it, open as it was, upon a table. ”

“ Bryant, in his very learned Mythology, mentions an analogous source of error, when he says that ‘although the Pagan fables are not believed, yet we forget ourselves continually, and make inferences from them as existing realities.’ With the algebraists, however, who are Pagans themselves, the ‘Pagan fables’ are believed, and the inferences are made, not so much through lapse of memory, as through an unaccountable addling of the brains. ”

“ You will now understand what I meant in suggesting that, had the purloined letter been hidden anywhere within the limits of the Prefect’s examination—in other words, had the principle of its concealment been comprehended within the principles of the Prefect—its discovery would have been a matter altogether beyond question. This functionary, however, has been thoroughly mystified; and the remote source of his defeat lies in the supposition that the Minister is a fool, because he has acquired renown as a poet. All fools are poets ”

“ When he had gone, my friend entered into some explanations.
“The Parisian police,” he said, “are exceedingly able in their way. They are persevering, ingenious, cunning, and thoroughly versed in the knowledge which their duties seem chiefly to demand. Thus, when G——— detailed to us his mode of searching the premises at the Hôtel D———, I felt entire confidence in his having made a satisfactory investigation—so far as his labours extended.”
“So far as his labours extended?” said I.
“Yes,” said Dupin. ”

“ I asked, “in replacing the letter by a facsimile? Would it not have been better, at the first visit, to have seized it openly, and departed?”
”D———,” replied Dupin, “is a desperate man, and a man of nerve. His hotel, too, is not without attendants devoted to his interests. ”

“ We examined, first, the furniture of each apartment. We opened every possible drawer; and I presume you know that, to a properly trained police agent, such a thing as a secret drawer is impossible. Any man is a dolt who permits a ‘secret’ drawer to escape him in a search of this kind. ”

“ They have no variation of principle in their investigations; at best, when urged by some unusual emergency—by some extraordinary reward—they extend or exaggerate their old modes of practice, without touching their principles. ”

“ I will therefore guess odd;—he guesses odd, and wins. Now, with a simpleton a degree above the first, he would have reasoned thus: ‘This fellow finds that in the first instance I guessed odd, and, in the second, he will propose to himself upon the first impulse, a simple variation from even to odd, as did the first simpleton ”

“ Sometimes the top of a table, or other similarly arranged piece of furniture, is removed by the person wishing to conceal an article; then the leg is excavated, the article deposited within the cavity, and the top replaced. ”