Vietnam or Thailand ? Vote for the TOP Country of the Week !
Updated: June 25, 2025
The two Russian physicians were asked to join them, as a matter of professional courtesy. "This is a desperate affair," said the Count, "and I fear that your infinitesimals will do her very little good." "Don't be so sure, Sir Count.
Weierstrass, by strictly banishing from mathematics the use of infinitesimals, has at last shown that we live in an unchanging world, and that the arrow in its flight is truly at rest. This is a consequence which by no means follows; and in this respect, the German mathematician is more constructive than the ingenious Greek.
Can anything be less than nothing? or that he should raise the questions: Can one rightly speak of an infinite number? Can one infinite number be greater than another, and, if so, what can greater mean? What are infinitesimals? and what can be meant by different orders of infinitesimals? He who has interested himself in such questions as these has betaken himself to philosophical reflection.
We don't want to know whether they were large or small additions nor what the consequences of your admission may be. That you will leave to us. Holsten was silent. 'Surely? said the judge, almost pityingly. 'No, he hasn't, said Holsten, perceiving that for once in his life he must disregard infinitesimals.
DR. MORGAN. "All one, sir! Doctor signs the death-warrant, 'pothecary does the deed!" "Certainly we don't profess to keep a dying man alive upon the juice of the deadly upas-tree." "Of course you don't. There are no poisons with us. That's just the difference between you and me, Dr. Dosewell." "Indeed, I have always said that if you can do no good, you can do no harm, with your infinitesimals."
It was plainly not quite zero, because a sufficiently large number of infinitesimals, added together, were seen to make up a finite whole. But nobody could point out any fraction which was not zero, and yet not finite. Thus there was a deadlock. But at last Weierstrass discovered that the infinitesimal was not needed at all, and that everything could be accomplished without it.
And this, perhaps, a good judge of mankind might have augured of him; for while his body was far below the middle size, his long thin fingers, tapering to a point, seemed to be suitable instruments intended to serve a pair of dark eyes so lustrous and sharp, that nothing within the point of the beginning of infinitesimals might seem to escape them.
Standing and watching this poor wretch prodding in a gutter after hopeless infinitesimals, I have pictured to myself what emotions would surge through his breast if a New York garbage-barrel were to be set down before him. I am not sure he would be able to refrain from fainting away at sight of such a mine of wealth.
Several moments later the Doctor followed them to the parlor. The Count was greatly agitated, and stepped up to him immediately as he entered. "How is she now, Doctor?" "Sleeping as peacefully as a child." "And is it a natural, healthful sleep?" "Perfectly so." "Doctor, you have conquered my last prejudice. The modus operandi of the action of your infinitesimals I shall never comprehend.
I began to doubt the greatness of the cause made up of such infinitesimals. It is easy to serve ideas in which we have ceased to heartily believe, but it is impossible to fight for those that have become to us the least in the world ridiculous. Perhaps Valeria's death had unconsciously disheartened me for an enterprise which had been, however remotely, its occasion.
Word Of The Day
Others Looking