Titlebook: David Hilbert and the Axiomatization of Physics (1898–1918); From Grundlagen der Leo Corry Book 2004 Springer Science+Business Media Dordr

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David Hilbert and the Axiomatization of Physics (1898–1918)From Grundlagen der

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Late Nineteenth Century Background,al historical significance of ., the present chapter is devoted to describing in some detail the relevant background related to those developments. It comprises four main themes, all of them spanning the late nineteenth century: Hilbert’s early career (§ 1.1), foundations of geometry (§ 1.2), founda

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,Minkowski and Relativity: 1907–1909,nd that he continuously interacted with his good friend on these topics. Indeed, a close inspection of the contents of Minkowski’s ideas reveals a substantial, direct connection with Hilbert’s program for the axiomatization of physics, as it has been described so far. Minkowski’s work can be seen to

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,From Mechanical to Electromagnetic Reductionism: 1910–1914,this one was not a constructive one. The extremely complicated proof, which lacked the kind of conceptual clarity typical of Hilbert’s work in algebraic number fields, implied the ., for each positive integer exponent ., of an integer . such that any given integer is a sum of at most . non-negative

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Epilogue,s and scientific activity. Especially striking, of course, were the completely new horizons opened by the recent, path-breaking achievements in GTR, in which the leading G?ttingen mathematicians had been so intensely involved.

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