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2000 | OriginalPaper | Buchkapitel

On the Infinite and the Infinitely Small

verfasst von : Euler

Erschienen in: Foundations of Differential Calculus

Verlag: Springer New York

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Since every quantity, no matter how large, can always be increased, and there is no obstacle to adding to a given quantity another like quantity, it follows that every quantity can be increased without limit. Furthermore, there is no quantity so large that a larger one cannot be conceived, and so there is no doubt that every quantity can be increased to infinity. If there is someone who would deny this, he would have to give some quantity that cannot be increased, and so he needs to give a quantity to which nothing can be added. This is absurd, and even the idea of quantity rules out this possibility. He must necessarily concede that every quantity can always be increased without limit, that is, it can be increased to infinity.

Metadaten
Titel
On the Infinite and the Infinitely Small
verfasst von
Euler
Copyright-Jahr
2000
Verlag
Springer New York
DOI
https://doi.org/10.1007/0-387-22645-1_3

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