Richard Taylor

“ It were much to be desired, that when mathematical processes pass through the human brain instead of through the medium of inanimate mechanism, it were equally a necessity of things that the reasonings connected with operations should hold the same just place as a clear and well-defined branch of the subject of analysis, a fundamental but yet independent ingredient in the science, which they must do in studying the engine. ”

“ Instead of intrusting the important attack by my right to a subordinate, I should have conducted it myself and taken Polignac's division to sustain it. True, this would have removed my reserve from the center and line of retreat, and placed it on a flank; but I was confident that the enemy had no intention of resuming the offensive, and should have acted on that conviction. All this flashed upon me the instant I learned of the disorder of my right. Herein lies the vast difference between genius and commonplace: one anticipates errors, the other discovers them too late. ”

“ In the full vigor of mature manhood, erect, alert, quick, and decisive of speech, General Johnston was the beau ideal of a soldier. Without the least proneness to blandishments, he gained and held the affection and confidence of his men. Brave and impetuous in action, he had been often wounded, and no officer of the general staff of the old United States army had seen so much actual service with troops. During the Mexican war he was permitted to take command of a voltigeur regiment, and rendered brilliant service. ”

“ In abstract mathematics, of course operations alter those particular relations which are involved in the considerations of number and space, and the results of operations are those peculiar results which correspond to the nature of the subjects of operation. But the science of operations, as derived from mathematics more especially, is a science of itself, and has its own abstract truth and value; just as logic has its own peculiar truth and value, independently of the subjects to which we may apply its reasonings and processes. ”

“ If left here by the army, I will be obliged to destroy this fleet to prevent it falling into the enemy's hands. I can not conceive that the nation will permit such a sacrifice to be made, when men and money can prevent it. We have fought hard for the opening of the Mississippi, and have reduced the naval forces of the rebels in this quarter to two vessels. If we have to destroy what we have here, there will be material enough to build half a dozen iron-clads, and the Red River, which is now of no further dread to us, will require half the Mississippi squadron to watch it. ”

“ Babbage, renouncing his original essays, conceived the plan of another system of mechanism whose operations should themselves possess all the generality of algebraical notation, and which, on this account, he denominates the Analytical Engine.
Having now explained the state of the question, it is time for me to develope the principle on which is based the construction of this latter machine. When analysis is employed for the solution of any problem, there are usually two classes of operations to execute: firstly, the numerical calculation of the various coefficients ”

“ A gentleman, one of the most distinguished and dashing officers of the United States army, General Hancock recognizes both the great duties of a soldier of the Republic—to defend its flag and obey its laws, discharging the last with a fidelity equal to his devotion to the first in front of battle. ”

“ A new, a vast, and a powerful language is developed for the future use of analysis, in which to wield its truths so that these may become of more speedy and accurate practical application for the purposes of mankind than the means hitherto in our possession have rendered possible. Thus not only the mental and the material, but the theoretical and the practical in the mathematical world, are brought into more intimate and effective connexion with each other. ”

“ Living on horseback, fearless and dashing, the men of the South afforded the best possible material for cavalry. They had every quality but discipline, and resembled Prince Charming, whose manifold gifts, bestowed by her sisters, were rendered useless by the malignant fairy. Scores of them wandered about the country like locusts, and were only less destructive to their own people than the enemy. The universal devotion of Southern women to their cause led them to give indiscriminately to all wearing the gray. ”

“ It is obvious that, in the invention of a calculating engine, these two branches of the subject are equally essential fields of investigation, and that on their mutual adjustment, one to the other, must depend all success. They must be made to meet each other, so that the weak points in the powers of either department may be compensated by the strong points in those of the other. ”

“ We know those who doubt whether the powers of mechanism will in practice prove adequate in all respects to the demands made upon them in the working of such complicated trains of machinery as those of the above engines, and who apprehend that unforeseen practical difficulties and disturbances will arise in the way of accuracy and of facility of operation. The Difference Engine, however, appears to us to be in a great measure an answer to these doubts. It is complete as far as it goes, and it does work with all the anticipated success. ”

“ Before Maury left Mobile I had learned of Lee's surrender, rumors of which spreading among the troops, a number from the neighboring camps came to see me. I confirmed the rumor, and told them the astounding news, just received, of President Lincoln's assassination. For a time they were silent with amazement, then asked if it was possible that any Southern man had committed the act. There was a sense of relief expressed when they learned that the wretched assassin had no connection with the South, but was an actor, whose brains were addled by tragedies and Plutarch's fables. ”

“ We know that numerical calculations are generally the stumbling-block to the solution of problems, since errors easily creep into them, and it is by no means always easy to detect these errors. Now the engine, by the very nature of its mode of acting, which requires no human intervention during the course of its operations, presents every species of security under the head of correctness; besides, it carries with it its own check; for at the end of every operation it prints off, not only the results, but likewise the numerical data of the question ”

“ The leaders of the radical masses of the North have inflicted such countless and cruel wrongs on the Southern people as to forbid any hope of disposition or ability to forgive their victims; and the land will have no rest until the last of these persecutors has passed into oblivion.
During all these years the conduct of the Southern people has been admirable. Submitting to the inevitable, they have shown fortitude and dignity, and rarely has one been found base enough to take wages of shame from the oppressor and maligner of his brethren. ”

“ A cycle may simply include many other cycles, and yet only be of the second order. If a series follows a certain law for a certain number of terms, and then another law for another number of terms, there will be a cycle of operations for every new law; but these cycles will not be contained one within another,—they merely follow each other. Therefore their number may be infinite without influencing the order of a cycle that includes a repetition of such a series. ↑ The engine cannot of course compute limits for perfectly simple and uncompounded functions, except in this manner. ”

“ Jackson, a Valley man by reason of his residence at Lexington, south of Staunton, was their hero and idol. The women sent husbands, sons, lovers, to battle as cheerfully as to marriage feasts. No oppression, no destitution could abate their zeal. Upon a march I was accosted by two elderly sisters, who told me they had secreted a large quantity of bacon in a well on their estate, hard by. Federals had been in possession of the country, and, fearing the indiscretion of their slaves, they had done the work at night with their own hands, and now desired to give the meat to their people. ”

“ He once observed, in reply to an allusion to his severe marching, that it was better to lose one man in marching than five in fighting; and, acting on this, he invariably surprised the enemy—Milroy at McDowell, Banks and Fremont in the Valley, McClellan's right at Cold Harbor, Pope at second Manassas.
Fortunate in his death, he fell at the summit of glory, before the sun of the Confederacy had set, ere defeat, and suffering, and selfishness could turn their fangs upon him. As one man, the South wept for him; foreign nations shared the grief; even Federals praised him. ”

“ Nothing of the sort exists in the Difference Engine. We may say most aptly that the Analytical Engine weaves algebraical patterns just as the Jacquard-loom weaves flowers and leaves. Here, it seems to us, resides much more of originality than the Difference Engine can be fairly entitled to claim. We do not wish to deny to this latter all such claims. We believe that it is the only proposal or attempt ever made to construct a calculating machine founded on the principle of successive orders of differences, and capable of printing off its own results ”