Leibniz’s Double Philosophical and Technical Perspective Concerning Infinitesimals: A Path Towards the Ideality of Mathematical Objects

Authors

  • Federico Raffo Quintana Universidad Católica Argentina - CONICET
  • Oscar Miguel Esquisabel CEFHIC UNQ-CONICET / UCA

DOI:

https://doi.org/10.5944/endoxa.50.2022.27336

Abstract

This paper examines the question regarding the fictionality of infinite
and infinitely small quantities from the point of view of the ideality of the mathematical
objects. It maintains the hypothesis that already around 1676 Leibniz deployed
arguments for establishing a separation between the fields of mathematics and that of
concrete reality, and that this split especially affects the status of mathematical fictions.
Thus begins a line of development begins that culminates later in Leibniz’s conception
about the distinction between what is ideal and what is real.

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References

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Published

2022-12-22

How to Cite

Raffo Quintana, F., & Esquisabel, O. M. (2022). Leibniz’s Double Philosophical and Technical Perspective Concerning Infinitesimals: A Path Towards the Ideality of Mathematical Objects. ENDOXA, (50). https://doi.org/10.5944/endoxa.50.2022.27336

Issue

No. 50 (2022)

Section

Papers and Texts

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