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Hilbert’s Program to Axiomatize Physics and Its Impact on Schlick, Carnap and Other Members of the Vienna Circle

Ulrich Majer

Vienna Circle Institute Yearbook 9:213-224 (2002)

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Conventionalism in Early Analytic Philosophy and the Principle of Relativity.Ori Belkind - 2020 - Erkenntnis 87 (2):827-852.details In this paper I argue that the positivist–conventionalist interpretation of the Restricted Principle of Relativity is flawed, due to the positivists’ own understanding of conventions and their origins. I claim in the paper that, to understand the conventionalist thesis, one has to diambiguate between three types of convention; the linguistic conventions stemming from the fundamental role of mathematical axioms, the conventions stemming from the coordination betweeh theoretical statements and physical, observable facts or entities, and conventions that are made possible by (...) Download Export citation Bookmark 1 citation
(1 other version)Friedman on Implicit Definition: In Search of the Hilbertian Heritage in Philosophy of Science.Woosuk Park - 2012 - Erkenntnis 76 (3):427-442.details Michael Friedman’s project both historically and systematically testifies to the importance of the relativized a priori. The importance of implicit definitions clearly emerges from Schlick’s General Theory of Knowledge . The main aim of this paper is to show the relationship between both and the relativized a priori through a detailed discussion of Friedman’s work. Succeeding with this will amount to a contribution to recent scholarship showing the importance of Hilbert for Logical Empiricism. Download Export citation Bookmark
The principle of least action as the logical empiricist's shibboleth.Michael Stöltzner - 2002 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 34 (2):285-318.details The present paper investigates why logical empiricists remained silent about one of the most philosophy-laden matters of theoretical physics of their day, the principle of least action (PLA). In the two decades around 1900, the PLA enjoyed a remarkable renaissance as a formal unification of mechanics, electrodynamics, thermodynamics, and relativity theory. Taking Ernst Mach's historico-critical stance, it could be liberated from much of its physico-theological dross. Variational calculus, the mathematical discipline on which the PLA was based, obtained a new rigorous (...) Download Export citation Bookmark 18 citations
Reichenbach’s empirical axiomatization of relativity.Joshua Eisenthal & Lydia Patton - 2022 - Synthese 200 (6):1-24.details A well known conception of axiomatization has it that an axiomatized theory must be interpreted, or otherwise coordinated with reality, in order to acquire empirical content. An early version of this account is often ascribed to key figures in the logical empiricist movement, and to central figures in the early “formalist” tradition in mathematics as well. In this context, Reichenbach’s “coordinative definitions” are regarded as investing abstract propositions with empirical significance. We argue that over-emphasis on the abstract elements of this (...) Download Export citation Bookmark
La teoría de los invariantes y el espacio intuitivo en Der Raum de Rudolf Carnap.Álvaro J. Peláez Cedrés - 2008 - Análisis Filosófico 28 (2):175-203.details La consecuencia más difundida de la revolución en la geometría del siglo XIX es aquella que afirma que después de dichos cambios ya nada quedaría de la vieja noción de espacio como "forma de la intuición sensible", ni de la geometría como "condición trascendental" de la posibilidad de la experiencia. Este artículo se ocupa del intento de Rudolf Carnap por articular una concepción del espacio intuitivo que, al tiempo que se mantiene dentro del paradigma kantiano se hace eco de algunos (...) Download Export citation Bookmark

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