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Peano and the Debate on Infinitesimals
Philosophia Scientiae 25:145-156 (2021)
Abstract
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].Other Versions
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Citations of this work
Peano’s Conception of a Single Infinite Cardinality.Claudio Ternullo & Isabella Fascitiello - 2023 - Hopos: The Journal of the International Society for the History of Philosophy of Science 13 (2):241-260.
References found in this work
The Rise of non-Archimedean Mathematics and the Roots of a Misconception I: The Emergence of non-Archimedean Systems of Magnitudes.Philip Ehrlich - 2006 - Archive for History of Exact Sciences 60 (1):1-121.
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