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Updated: May 19, 2025
By affirming one thing, and then another, and so on ad infinitum, I form the idea of "All;" so, by denying one thing and then other things, finally by denying All, I arrive at the idea of Nothing. But it is just this assimilation which is arbitrary.
What standard are you applying? Where do you get it from?" "From common sense." "And what is common sense?" "Oh, a kind of instinct too!" "A kind of instinct? How many are there then? And does every instinct require another to justify it, and so ad infinitum?" "Logomachy, my dear Leslie!" cried Parry, with imperturbable good-humour. He had a habit of treating Leslie as if he were a clever child.
During all this time I was in a murdering humour, and spent 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.
She has certain vocal expressions of her emotions, which man in vain attempts to eradicate with all the agencies of domestication. She has special arts to attract her mate, and he in turn is able to charm her with songs which charm nobody else. And so on, almost ad infinitum.
During the course of their night's debauch there was a great deal of speechifying, and the epithets fanatical, humbug, etc., were used ad infinitum. Over the state of nearly every one of the party it is well to cast the veil of oblivion. But what may be expected of a town or a county that has such men to administer justice and to hold its most responsible positions.
They consider mortar as a very anti-revolutionary invention, in its present state, but, properly employed, an admirable material for overturning all establishments. They have found that the gunpowder of ruins is far the fittest for making other ruins, and so ad infinitum.
All the titles, of the nobility are not confined to the oldest son. The "Pocketbook of Counts," published by the same firm which publishes the "Almanac de Gotha," contains the counts of Austria, Germany and Hungary together, showing in this way the intimate personal relation between the noble families of these three countries. All the sons of a count are counts, and so on, ad infinitum.
Time and experience in no way dull this appreciation, for when, later, The Canterbury Tales appear, his estimate has risen ten-fold, since in the prologue to “The Miller’s Tale” we read, “and ever a thousand gode ageyn one badde.” From this time onwards, literature on the subject increases almost ad infinitum. Treatises and imaginary debates seem to vie with each other for popularity.
The country through which this road led us was flat, stale, but not unprofitable, since on either side were paddy-fields extending ad infinitum, studded here and there with clumps of palms.
Such a regress is, therefore, the regressus in indefinitum, which, as not determining a quantity in the object, is clearly distinguishable from the regressus in infinitum. It follows from what we have said that we are not justified in declaring the world to be infinite in space, or as regards past time.
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