David Hilbert and the axiomatization of physics (1894–1905)

  title={David Hilbert and the axiomatization of physics (1894–1905)},
  author={Leo Corry},
  journal={Archive for History of Exact Sciences},
  • L. Corry
  • Published 1 June 1997
  • Physics
  • Archive for History of Exact Sciences
Le mathematicien D. Hilbert demontra les analogies entre la geometrie et les sciences physiques telles que la thermodynamique, la mecanique, l'electrodynamique et la cinetique des gaz, grâce a une approche axiomatique fondee sur les theories mathematiques 
David Hilbert between Mechanical and Electromagnetic Reductionism (1910–1915)
L'A. demontre la similarite entre l'equation de la gravitation presentee par D. Hilbert et celle presentee par Einstein, avec une possible influence de Hilbert sur Einstein et la question de la
Hermann Minkowski and the postulate of relativity
Le mathematicien Minkowski (H.M.) a tenu un role important dans l'histoire des theories de la relativite d'Einstein en adaptant le langage et les equations mathematiques a la theorie de la pesanteur
Poincaré-Week in Göttingen, in Light of the Hilbert-Poincaré Correspondence of 1908–1909
The two greatest mathematicians of the early twentieth century, David Hilbert and Henri Poincare transformed the mathematics of their time. Their personal interaction was infrequent, until Hilbert
From mathematics to psychophysics: David Hilbert and the "Fechner case"
A sketch of Hilbert’s figure and work is presented, in particular of his contribution to the debate which ensued after the publication of Elemente and the program of psychophysics by Fechner.
Hilbert's 6th Problem and Axiomatic Quantum Field Theory
  • M. Rédei
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��� 1. The Main Claims This paper has two parts, a historical and a systematic. In the historical part it is argued that the two major axiomatic approaches to relativistic quantum aeld theory, the
The Early Axiomatizations of Quantum Mechanics: Jordan, von Neumann and the Continuation of Hilbert's Program
Abstract Hilbert's axiomatization program of physical theories met an interesting challenge when it confronted the rise of quantum mechanics in the mid-twenties. The novelty of the mathematical
Hopes and Disappointments in Hilbert’s Axiomatic “Foundations of Physics”
Sixteen years after his “Foundations of Geometry,” Hilbert published a communication that bears a similar and, by use of the definite article, even less mistakable title: “The Foundations of
The Empiricist Roots of Hilbert’s Axiomatic Approach
Hilbert’s work on logic and proof theory—among the latest stages in his long and fruitful scientific career—appeared almost two decades after the publication of the epoch-making Grundlagen der
Einstein and Hilbert
Highlights of the twenty-odd-year relationship between Einstein and Hilbert are reviewed: the encounter that never took place (1912) when Einstein declined Hilbert’s invitation to Gottingen; the
Hilbert's Finitism: Historical, Philosophical, and Metamathematical Perspectives
Hilbert’s Finitism: Historical, Philosophical, and Metamathematical Perspectives


Hermann Minkowski and the postulate of relativity
Le mathematicien Minkowski (H.M.) a tenu un role important dans l'histoire des theories de la relativite d'Einstein en adaptant le langage et les equations mathematiques a la theorie de la pesanteur
Peano's axioms in their historical context
Peano (G.) est le precurseur des axiomes en arithmetique, et ses travaux scientifiques demontrent sa contribution aux fondements logiques des mathematiques
Geometry, intuition and experience: From kant to husserl
In his famous celebratory lecture ‘Geometry and Experience’ held before the Prussian Academy of Science in Berlin in 1921, Einstein raised the puzzle: How is it possible that mathematics as a
The axiomatization of linear algebra: 1875-1940
Modern linear algebra is based on vector spaces, or more generally, on modules. The abstract notion of vector space was first isolated by Peano (1888) in geometry. It was not influential then, nor
A Transformation in Physics. (Book Reviews: Black-Body Theory and the Quantum Discontinuity, 1894-1912)
"A masterly assessment of the way the idea of quanta of radiation became part of 20th-century physics. . . . The book not only deals with a topic of importance and interest to all scientists, but is
Klein, Hilbert, and the Gottingen Mathematical Tradition
T HE WILHELMIAN ERA witnessed an enormous transformation in German mathematics, one that manifested itself not only in new research developments in pure mathematics but also in the emergence of a
Hermann von Helmholtz and the Foundations of Nineteenth-Century Science
Hermann von Helmholtz (1821-1894) was a polymath of dazzling intellectual range and energy. Renowned for his co-discovery of the second law of thermodynamics and his invention of the ophthalmoscope,
The Impact of Von Staudt’s Foundations of Geometry
What did Projective Geometry mean before von Staudt? It owed much to Monge, but its true founder was J.V. Poncelet. He invented the so-called continuity principle (Traite des proprietes projectives
On the Principles of the Galilean-Newtonian Theory
If, as is universally acknowledged, the proper goal of the mathematical sciences is the discovery of the least possible number of principles (notably principles that are not further explicable) from
The Philosophical Views of Klein and Hilbert
There is always a question in writing the history of mathematics about how to bring the purely biographical elements and the mathematics itself together. The late Otto Neugebauer was a strong