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Updated: May 19, 2025
As he walked along, rejoicing in his existence and in the beauty of that magnificent evening, a cloud would rise occasionally and call forth a sigh, as he recollected the polite intimation of his uncle, that he had extended his leave of absence ad infinitum!
All the evolutions were easy, even without the help of the rudder, and the ways in which the propelling tubes could be placed were capable of being varied ad infinitum by a system of levers. The Seraing No. 2 had an engine of a nominal power of 40 horses, and took on an average 30 minutes to make the trip, backward and forward, of 85 kilometers, with four stoppages.
During all this time I was in the murdering humour, and took up most of my hours, which should have been better employed, in contriving how to circumvent and fall upon them, the very next time I should see them; especially if they should be divided, as they were the last time, into two parties: nor did I consider at all, that if I killed one party, suppose ten or a dozen, I was still the next day, or week, or month, to kill another, and so another, even ad infinitum, till I should be at length no less a murderer than they were in being man-eaters, and perhaps much more so.
"Cops and prison keepers and bondsmen and under sheriffs, and all kinds of crooked petty officials. I should worry!" "Great fleas have little fleas upon their backs to bite 'em, And little fleas have lesser fleas, and so ad infinitum," quoted Miss Wiggin reminiscently. "A flea has to be a flea," continued Tutt. "He, or it, can't be anything else, but Hogan doesn't have to be a lawyer.
As for you, you're only guilty of mutiny, so I'll content myself with tricing you up to the shrouds and flogging you with a cat soaked in brine." And so on, ad libitum, ad infinitum. Mr. Schultz was frankly mystified.
And this latter difference would have to be viewed as an attribute of the first difference, and this would lead us on to a third difference, and so in infinitum.
It would be said that, 'being without experience, he had taken upon him to overrule men who had much experience; that when the constitution of the Bank had provided them with skilled counsel, he had taken on himself to act of his own head, and to disregard that counsel; and so on ad infinitum.
From hence it follows that all the atoms placed at first on different lines must pursue ad infinitum those parallel lines without ever coming nearer one another; and that those who are in the same line must follow one another ad infinitum without ever coming up together, but keeping still the same distance from one another.
The necessitarian contends that “volition, or an act of the mind, is the effect of motive, and that it is subject to the power and action of its cause.” The advocate of free-will replies, If we must suppose an action of motive on the mind to account for its act, we must likewise suppose another action to account for the action of motive; and so on ad infinitum.
For, while Achilles has passed over the originally intervening space, the tortoise will have passed over a certain space, and when Achilles has passed over this second space the tortoise will have again passed over some space, and so on ad infinitum; therefore in an infinite time there must always be a space, though infinitely diminishing, between the tortoise and Achilles, i.e. the tortoise must always be at least a little in front.
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