信としての数学
ヒルベルト・プログラムと超越論的哲学
2002 年 35 巻 1 号 p. 1-13
詳細
2002 年 35 巻 1 号 p. 1-13
In this paper, I consider a philosophical interpretation of Hilbert's program put forward by Paul Bernays. The paper consists, roughly, of two parts. In the first part, I briefly describe Bernays's polemic against "immanence philosophy" over the question concerning the epistemological status of theoretical sciences and its relation to the foundational controversy in mathematics in the 1920s. In the second part, I briefly discuss the theory of cognition contained in the transcendental philosophy of Jakob Friedrich Fries and his twentieth century evangelist, Leonard
Nelson, and consider Bernays's view against the background of this intellectual tradition. I conclude the paper by arguing for the importance of attending to Friesian influence in order to achieve a deeper understanding of Bernays's (and Hilbert's) philosophy of mathematics.
