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Updated: May 19, 2025
The mystery, which was merely the result of patient practice, consisted wholly in the manner in which the question was propounded; in fact, the question invariably carried its own answer; for instance: "What is this?" meant gold; "Now what is this?" silver; "Say, what is this?" copper; "Tell me what this is?" iron; "What is the shape?" long; "Now, what shape?" round; "Say what shape?" square; "Please say what this is," a watch; "Can you tell what is in this lady's hand?" a purse; "Now, please say what this is?" a key; "Come now, what is this?" money; "How much?" a penny; "Now, how much?" sixpence; "Say how much," a quarter of a dollar; "What color is this?" black; "Now, what color is this?" red; "Say what color?" green; and so on, ad infinitum.
For this reason we have the distinct violin, horn, clarinet or pianoforte timbre, and so on down the list, but I repeat here that there are not such minute and individual differences between instruments of the same kind as there are between voices of the same range, because there are no such minute and individual structural differences in instruments as in the vocal organs of individuals differences that each individual can multiply ad infinitum by the subtle and delicate play of muscles acting in response to mental suggestion, art sense, inspiration, temperament, psychic impulse, or by whatever cognate term one may choose to call it.
When we infer the existence of an object from that of others, some object must always be present either to the memory or senses, in order to be the foundation of our reasoning; since the mind cannot run up with its inferences IN INFINITUM. Reason can never satisfy us that the existence of any one object does ever imply that of another; so that when we pass from the impression of one to the idea or belief of another, we are not determined by reason, but by custom or a principle of association.
For, to ask whether a man be at liberty to will either motion or rest, speaking or silence, which he pleases, is to ask whether a man can will what he wills, or be pleased with what he is pleased with? A question which, I think, needs no answer: and they who can make a question of it must suppose one will to determine the acts of another, and another to determine that, and so on in infinitum.
It says that my decision and act depend upon the time, the place and even to some extent, upon the girl. Examples might be multiplied ad infinitum. I can scarcely remember performing a wholly voluntary act. My whole life, as I look back upon it, seems to be a long series of inexplicable accidents, not only quite unavoidable, but even quite unintelligible.
In using this ingenious wire stretcher, he stapled his wire to post number one, carried the length past post number two, looped the chain around post number three, having the chain long enough so that he might tauten the wire and hold the crankhandle steady with his knee or left arm while he drove the holding staple in post number two. And so repeat, ad infinitum.
Thus down, down, he goes, sinking his shaft and driving his levels on that is, always following the lode ad infinitum. Of course he must stop before reaching the other side of the world! At the present time Botallack has progressed in that direction to a depth of 245 fathoms.
Linnæus asserts, "that it grows old at one extremity, while it continues to generate young ones at the other, proceeding ad infinitum, like a root of grass. The separate joints are called gourd-worms, and propagate new joints like the parent without end, each joint being furnished with its proper mouth, and organs of digestion." Systema naturæ. Vermes tenia.
Very different is the case with the problem: "How far the regress, which ascends from the given conditioned to the conditions, must extend"; whether I can say: "It is a regress in infinitum," or only "in indefinitum"; and whether, for example, setting out from the human beings at present alive in the world, I may ascend in the series of their ancestors, in infinitum mr whether all that can be said is, that so far as I have proceeded, I have discovered no empirical ground for considering the series limited, so that I am justified, and indeed, compelled to search for ancestors still further back, although I am not obliged by the idea of reason to presuppose them.
My own existence becomes multiplied in infinitum. Of the possibility of matter I know nothing; but with the possibility of mind I am acquainted; for I am myself an example. I am amazed at the consistency and systematic succession of the phenomena of the material universe; though I cannot penetrate the veil which presents itself to my grosser sense, nor see effects in their causes.
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