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Leibniz’s Critique of Infinite Numbers and its Impact in his Metaphysics of Bodies

Fazio, Rodolfo E. (2016) Leibniz’s Critique of Infinite Numbers and its Impact in his Metaphysics of Bodies. THEORIA. An International Journal for Theory, History and Foundations of Science, 31 (2). pp. 159-175. ISSN 2171-679X

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Abstract

In this paper we study the impact of Leibniz’s critique of infinite numbers in his metaphysics of bodies. After presenting the relation that the German philosopher establishes in his youth between the notions of body, extension and infinite quantities (1672-1673), we analyze his thoughts on the paradoxes of the infinite numbers (1672-1676) and we claim that his defense of the inconsistency of such numbers is an inflexion point in his conception of body and mark the beginning of his offensive against the res extensa.


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Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
Fazio, Rodolfo E.rodolfofazio@gmail.com
Additional Information: ISSN: 0495-4548 (print)
Keywords: Leibniz; infinite numbers; body; continuous quantity; extension
Subjects: General Issues > History of Philosophy of Science
Specific Sciences > Mathematics
General Issues > Philosophers of Science
Depositing User: Unnamed user with email theoria@ehu.es
Date Deposited: 08 Jun 2016 19:48
Last Modified: 08 Jun 2016 19:48
Item ID: 12178
Journal or Publication Title: THEORIA. An International Journal for Theory, History and Foundations of Science
Publisher: Euskal Herriko Unibertsitatea / Universidad del País Vasco
Official URL: http://www.ehu.eus/ojs/index.php/THEORIA/article/v...
DOI or Unique Handle: https://doi.org/10.1387/theoria.14935
Subjects: General Issues > History of Philosophy of Science
Specific Sciences > Mathematics
General Issues > Philosophers of Science
Date: May 2016
Page Range: pp. 159-175
Volume: 31
Number: 2
ISSN: 2171-679X
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/12178

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