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Peano and the Debate on Infinitesimals

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The main aim of this paper is to put Peano’s opinion about the unacceptability of the actual infinitesimal notion into evidence. First we briefly focus on the cultural environment where Peano’s considerations originated and developed. Then we examine Peano’s article of 1892, “Dimostrazione dell’impossibilità di segmenti infinitesimi costanti” [Peano 1892].
Title: Peano and the Debate on Infinitesimals
Description:
The main aim of this paper is to put Peano’s opinion about the unacceptability of the actual infinitesimal notion into evidence.
First we briefly focus on the cultural environment where Peano’s considerations originated and developed.
Then we examine Peano’s article of 1892, “Dimostrazione dell’impossibilità di segmenti infinitesimi costanti” [Peano 1892].

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