Hilbert's sixth problem: Between the foundations of geometry and the axiomatization of physics

פרסום מחקרי: פרסום בכתב עתמאמרביקורת עמיתים


The sixth of Hilbert's famous 1900 list of 23 problems was a programmatic call for the axiomatization of the physical sciences. It was naturally and organically rooted at the core of Hilbert's conception of what axiomatization is all about. In fact, the axiomatic method which he applied at the turn of the twentieth century in his famous work on the foundations of geometry originated in a preoccupation with foundational questions related with empirical science in general. Indeed, far from a purely formal conception, Hilbert counted geometry among the sciences with strong empirical content, closely related to other branches of physics and deserving a treatment similar to that reserved for the latter. In this treatment, the axiomatization project was meant to play, in his view, a crucial role. Curiously, and contrary to a once-prevalent view, from all the problems in the list, the sixth is the only one that continually engaged Hilbet's efforts over a very long period of time, at least between 1894 and 1932. This article is part of the theme issue 'Hilbert's sixth problem'.

שפה מקוריתאנגלית
מספר המאמר0221
כתב עתPhilosophical transactions. Series A, Mathematical, physical, and engineering sciences
מספר גיליון2118
מזהי עצם דיגיטלי (DOIs)
סטטוס פרסוםפורסם - 28 אפר׳ 2018
פורסם באופן חיצוניכן

הערה ביבליוגרפית

Publisher Copyright:
© 2018 The Author(s) Published by the Royal Society. All rights reserved.

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