Husserl and Hilbert
pp. 245-263
Abstrakt
The paper examines Husserl's (1859–1938) phenomenology and Hilbert's (1862–1943) view of the foundations of mathematics against the backdrop of their lifelong friendship. After a brief account of the complementary nature of their early approaches, the paper focuses on Husserl's Formale und transzendentale Logik (1929) viewed as a response to Hilbert's "new foundations" developed in the 1920s. While both Husserl and Hilbert share a "mathematics first," nonrevisionist approach toward mathematics, they disagree about the way in which the access to it should be construed: Hilbert wanted to reach it and show it consistent by his formalism on the basis of sensuous signs, Husserl held that there should be a reduction to elementary judgements about individuals. Husserl's reduction does not establish the consistency of mathematics but he claims it is important for the considerations of truth.
Publication details
Published in:
Centrone Stefania (2017) Essays on Husserl's logic and philosophy of mathematics. Dordrecht, Springer.
Seiten: 245-263
DOI: 10.1007/978-94-024-1132-4_11
Referenz:
Hartimo Mirja (2017) „Husserl and Hilbert“, In: S. Centrone (ed.), Essays on Husserl's logic and philosophy of mathematics, Dordrecht, Springer, 245–263.