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RESEARCH PAPERS

No. 53

The actual infinitude of parts of the continuum in Leibniz’s Theoria motus abstracti

  • Federico Raffo
DOI
https://doi.org/10.12795/themata.2016.i53.15
Submitted
March 13, 2017
Published
2016-06-01

Abstract

In his 1671’s Theoria motus abstracti (TMA), Leibniz stated without further precisions that there is an actual infinity of parts in the continuum. Some exegetes hold that the actual parts must be understood as ‘indivisibles’. In this paper we will hold that another interpretation can be defended, which avoids the problems that the other interpretation has, and which is clarified on the basis of Leibniz’s arithmetical exams written immediately after the writing of the TMA. Thus, we will show that there could be a parallelism between Leib-niz’ exams on the continuum problem and on infinite series.

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