出版社:Consejo Superior de Investigaciones Científicas
摘要: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.