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- handle: 10670/1.xql40k
- halshs: halshs-04536075
- doi: 10.1016/j.hm.2023.12.001
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info:eu-repo/semantics/altIdentifier/doi/10.1016/j.hm.2023.12.001
Ce document est lié à :
info:eu-repo/grantAgreement//ERC-AdG 101020985/EU/THE PHILOSOPHY OF LEIBNIZ IN THE LIGHT OF HIS UNPUBLISHED MATHEMATICAL MANUSCRIPTS/PHILIUMM
Mots-clés
G.W. Leibniz A. Robinson Infinitesimals infinitely small quantities nonstandard analysis horn angle Infinitesimals infinitely small quantities nonstandard analysis horn angleSujets proches
Non-standard analysis Mathematical analysis, Nonstandard Nonstandard analysis Analysis, Nonstandard mathematicalCiter ce document
Richard T W Arthur et al., « On the Unviability of Interpreting Leibniz's Infinitesimals through Nonstandard analysis », HAL-SHS : histoire, philosophie et sociologie des sciences et des techniques, ID : 10.1016/j.hm.2023.12.001
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Résumé
Nonstandard analysis has often been presented as the proper framework for expressing rigorously Leibniz’s conception of infinitesimals. This paper intends to study this interpretation from an historical point of view and to dispel a series of misunderstandings on which it rests. In order to do so, we propose to go back at Leibniz’s conception of quantity, number or magnitude, an approach which has not been developed yet in the literature.