Article ID: CBB213803167

Sobre el realismo matemático de Zubiri y su interpretación de los teoremas de Gödel y Cohen (2016)

unapi

ABSTRACT In this article we analyze the appendix «La realidad de lo matemático» [The reality of the mathematical], of the Spanish philosopher’s book Inteligencia y Logos, with the aim of clarifying his concept of mathematical objects as real by construction, and his interpretation of Gödel’s and Cohen’s theorems, both of which would show that the reality of mathematical objects is previous to their truth. To do this, we first present Zubiri’s concept of mathematical objects; then we distinguish his position from that of the formalists and intuitionists; and finally, we analyze a Zubirian interpretation of Gödel’s and Cohen’s theorems. RESUMEN En este artículo se analiza el apéndice «La realidad de lo matemático» del libro Inteligencia y Logos, del filósofo español Xavier Zubiri, con el objetivo de clarificar su concepción de los objetos matemáticos como reales por construcción, y a partir de esto su interpretación de los teoremas de Gödel y Cohen, que según Zubiri dejarían en evidencia que la realidad de los objetos matemáticos es anterior a su verdad. Para ello se expone primero, la concepción de Zubiri de los objetos matemáticos; luego se distingue su posición de la de los formalistas e intuicionistas; por último, se analiza la interpretación zubiriana de los teoremas de Cohen y Gödel.

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Authors & Contributors
Tieszen, Richard L.
Kennedy, Juliette
Gambetta, Emanuele
Nachtomy, Ohad
Smiley, Timothy
Sieg, Wilfried
Concepts
Mathematics
Philosophy of mathematics
Philosophy of science
Logic
Incompleteness theorems
Philosophy
Time Periods
20th century
20th century, early
19th century
Places
Poland
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