Innumerably Quotes 

The old and oft-repeated proposition "Totum est majus sua parte" [the whole is larger than the part] may be applied without proof only in the case of entities that are based upon whole and part; then and only then is it an undeniable consequence of the concepts "totum" and "pars". Unfortunately, however, this "axiom" is used innumerably often without any basis and in neglect of the necessary distinction between "reality" and "quantity", on the one hand, and "number" and "set", on the other, precisely in the sense in which it is generally false.
Georg Cantor
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More Innumerably Quotes 

Voice is a flowing breath of air, perceptible to the hearing by contact. It moves in an endless number of circular rounds, like the innumerably increasing circular waves which appear when a stone is thrown into smooth water, and which keep on spreading indefinitely from the centre unless interrupted by narrow limits, or by some obstruction which prevents such waves from reaching their end in due formation. When they are interrupted by obstructions, the first waves, flowing back, break up the formation of those which follow.

vitruvius

— Alternate translation: The voice is a flowing breath, made sensible to the organ of hearing by the movements it produces in the air. It is propagated in infinite numbers of circular zones, exactly as when a stone is thrown into a pool of standing water countless circular undulations are generated therein, which, increasing as they recede from the center, spread out over a great distance, unless the narrowness of the locality or some obstacle prevent their reaching their termination; for the first line or waves, when impeded by obstructions, throw by their backward swell the succeeding circular lines of waves into confusion. Quoted by Ernst Mach, The Science of Mechanics: A Critical and Historical Account of its Development (1893, 1960) Tr. Thomas J. McCormack
Chapter IV, Sec. 6

Tags: Voice, flowing, breath, air, perceptible, hearing, contact, moves, endless

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Voice is a flowing breath of air, perceptible to the hearing by contact. It moves in an endless number of circular rounds, like the innumerably increasing circular waves which appear when a stone is thrown into smooth water, and which keep on spreading indefinitely from the centre unless interrupted by narrow limits, or by some obstruction which prevents such waves from reaching their end in due formation. When they are interrupted by obstructions, the first waves, flowing back, break up the formation of those which follow.


— Alternate translation: The voice is a flowing breath, made sensible to the organ of hearing by the movements it produces in the air. It is propagated in infinite numbers of circular zones, exactly as when a stone is thrown into a pool of standing water countless circular undulations are generated therein, which, increasing as they recede from the center, spread out over a great distance, unless the narrowness of the locality or some obstacle prevent their reaching their termination; for the first line or waves, when impeded by obstructions, throw by their backward swell the succeeding circular lines of waves into confusion. Quoted by Ernst Mach, The Science of Mechanics: A Critical and Historical Account of its Development (1893, 1960) Tr. Thomas J. McCormack
— Chapter IV, Sec. 6

Tags: Voice, flowing, breath, air, perceptible, hearing, contact, moves, endless

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