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Article . 2019
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Proclo: constructivismo y pre-intuicionismo en la geometría griega

Authors: Campillo Bo, Álvaro José;

Proclo: constructivismo y pre-intuicionismo en la geometría griega

Abstract

In this paper I will illustrate Proclus’ philosophy of mathematics following contemporary constructivist approaches, mainly those of mathematical intuitionism. Presenting him as a pre-intuitionist author, I will attempt to contribute to the current discussion by analyzing certain claims of ancient philosophy in this field. It is my hope to fill this gap by a comprehensive reevaluation of Proclus’ philosophy of mathematics. I will explore the origins of Proclus’ theory of the constructivist mind in ancient and late ancient philosophy (Aristotle, Plotinus and the Stoics) as well as the sources of Proclus’ position in the Academic controversy between Menaechmus and Speusippus concerning the nature of theorems and problems.

En este artículo ilustraré la filosofía de la matemática de Proclo de acuerdo a los enfoques constructivistas contemporáneos, principalmente los del intuicionismo. Presentándolo como un autor pre-intuicionista, intentaré contribuir a la discusión actual analizando algunas posturas de la filosofía antigua. Tengo la esperanza de cubrir esta laguna con una re-exposición de su filosofía de la matemática. Exploraré los orígenes de su teoría constructivista de la mente en la filosofía antigua y tardo-antigua (Aristóteles, Plotino y los estoicos) así como las fuentes de su posición en la controversia Académica sobre la naturaleza de los teoremas y los problemas entre Menecmo y Espeusipo

Country
Spain
Related Organizations
Keywords

Geometry, Geometría, Intuitionism, Political theory, J, Intuicionismo, Proclo, Platonismo; Intuicionismo; Proclo; Geometría, Proclus, CDU::1 - Filosofía y psicología::14 - Sistemas y puntos de vista filosóficos, JC11-607, Political science, Platonismo, Platonism

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
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