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Updated: June 19, 2025
For him life and death do not appear to be but incidents in an endless cycle of birth, death, and re-incarnation ad infinitum, such as pictured by Lévy-Bruhl; yet, in many instances, his acts and beliefs fit in closely with the theory outlined by that author.
New and clean gold pans, one inside another, towered roofward among outfits of aspiring tradespeople of the prospective camps in the Klondyke; these same rich men in embryo being also the proprietors of the closely piled sacks of flour, meal and beans, along with hundreds of cases of butter, eggs and cream, ad infinitum.
They sat there this many a day, their weapons in their hands, ready to start up whenever the great signal should come, and hunt once more, but without fatigue, in woods boundless as the sea, and with bodily frames no longer mortal, to knock and be knocked on the head, ad infinitum. Simple and benign creed!
Wheels within wheels worlds within worlds seems to be the order of nature everywhere. Someone has written, with more of truth than elegance "Big fleas have little fleas upon their legs to bite 'em, And little fleas have lesser fleas and so ad infinitum." One's native land is to millions of people the world in which their thoughts centre, and by which they are circumscribed.
The person afflicted was harboring these germs in his nose and throat, and his resistance was weakened by wetting his feet. The day was cold and his shoes were thin. The humidity and temperature were such that rain fell. The temperature and humidity were caused by air currents hundreds of miles distant from the scene, and so ad infinitum.
For if an act of the mind, or a volition, is caused by the mind, it must be produced by a preceding act of the mind, and this act must be produced by another preceding act of the mind, and so on ad infinitum; which reduces the matter to a plain impossibility.
But can a man of sound sense listen for one moment to such a doctrine? Either predestination admits the existence of free-will, or it rejects it. If it admits it, what kind of predetermined result can that he which a simple resolution, a step, a word, may alter or modify ad infinitum?
Therefore let who will suppose that there were moulds in the animals that lived four thousand years ago, and affirm, if he pleases, that those moulds were so inclosed one within another ad infinitum, that there was a sufficient number for all the generations of those four thousand years; and that there is still a sufficient number ready prepared for the formation of all the animals that shall preserve their species in all succeeding ages.
Gerald went through the push doors into the large, lofty room where the faces and heads of the drinkers showed dimly through the haze of smoke, reflected more dimly, and repeated ad infinitum in the great mirrors on the walls, so that one seemed to enter a vague, dim world of shadowy drinkers humming within an atmosphere of blue tobacco smoke.
For, although when we say, "Produce a straight line," it is more correct to say in indefinitum than in infinitum; because the former means, "Produce it as far as you please," the second, "You must not cease to produce it"; the expression in infinitum is, when we are speaking of the power to do it, perfectly correct, for we can always make it longer if we please on to infinity.
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