Sobre el realismo matemático de Zubiri y su interpretación de los teoremas de Gödel y Cohen (2016)
Orellana Estay, Oscar (Author)
Durán Allimant, Ronald (Author)
Arbor: Ciencia, Pensamiento y Cultura
Volume: 192
Issue: 780
Pages: a333
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.
...MoreSimilar Citations
Article
Karela, Catherine;
(2010)
Hilbert on Different Notions of Completeness: A Conceptual and Historical Analysis
(/isis/citation/CBB001220619/)
Book
Tieszen, Richard L.;
(2011)
After Gödel: Platonism and Rationalism in Mathematics and Logic
(/isis/citation/CBB001210605/)
Article
Manzano, Maria;
Alonso, Enrique;
(2014)
Completeness: From Gödel to Henkin
(/isis/citation/CBB001213927/)
Article
Formica, Giambattista;
(2010)
Von Neumann's Methodology of Science: From Incompleteness Theorems to Later Foundational Reflections
(/isis/citation/CBB001034599/)
Article
Sayward, Charles;
(2005)
Steiner versus Wittgenstein: Remarks on Differing Views of Mathematical Truth
(/isis/citation/CBB000933620/)
Book
Grattan-Guiness, I.;
(2000)
Search for Mathematical Roots, 1870-1940: Logics, Set Theories and the Foundations of Mathematics from Cantor Through Russell to Gödel
(/isis/citation/CBB000102346/)
Book
Juliette Kennedy;
(2014)
Interpreting Godel: Critical Essays
(/isis/citation/CBB427455296/)
Article
Paseau, Alexander;
(2011)
Mathematical Instrumentalism, Gödel's Theorem, and Inductive Evidence
(/isis/citation/CBB001024149/)
Article
Cassou-Noguès, Pierre;
(2005)
Gödel and “The objective existence” of Mathematical Objects
(/isis/citation/CBB000740617/)
Book
Kurt Godel;
Solomon Feferman;
John W. Dawson;
Warren Goldfarb;
Charles Parsons;
Wilfried Sieg;
(2013)
Kurt Gödel: Collected Works: Volume IV
(/isis/citation/CBB660754544/)
Book
Goldstein, Rebecca;
(2005)
Incompleteness: The Proof and Paradox of Kurt Gödel
(/isis/citation/CBB000520034/)
Book
Stephen Budiansky;
(2021)
Journey to the Edge of Reason: The Life of Kurt Gödel
(/isis/citation/CBB142778671/)
Article
Tieszen, Richard;
(2002)
Gödel and the Intuition of Concepts
(/isis/citation/CBB000300364/)
Book
Karine Chemla;
Renaud Chorlay;
David Rabouin;
(2016)
The Oxford Handbook of Generality in Mathematics and the Sciences
(/isis/citation/CBB487165638/)
Article
Domski, Mary;
(2013)
Kant and Newton on the a priori Necessity of Geometry
(/isis/citation/CBB001320266/)
Book
Andrea Pitasi;
(2023)
La matematica della società
(/isis/citation/CBB101212330/)
Thesis
Sepkoski, David Christopher;
(2002)
Numbers and Things: Nominalism and Constructivism in Seventeenth-Century Mathematical Philosophy
(/isis/citation/CBB001562503/)
Essay Review
Panza, Marco;
(2011)
Breathing Fresh Air into the Philosophy of Mathematics
(/isis/citation/CBB001566756/)
Book
Mario Castellana;
(2019)
Federigo Enriques e la “Nuova Epistemologia”
(/isis/citation/CBB605748137/)
Book
Mancosu, Paolo;
(2008)
The Philosophy of Mathematical Practice
(/isis/citation/CBB000952048/)
Be the first to comment!