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"Mie’s Electromagnetic Theory of Matter and the Background to Hilbert’s Unified Foundations of Physics" in Joseph Kouneiher (ed.) Foundations of Mathematics and Physics One Century After Hilbert - New Perspectives, New York, Spriner (2018): 75-96. (Parts of this article appeared in my previous work on Hilbert, and particularly in this publication.)
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"Hilbert's 6th Problem: Between the Foundations of Geometry and the Axiomatization of Physics",
Philosophical Transactions of the Royal
Society (A), 376 (2118); 28 April 2018.
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"On the Origins of Hilbert’s 6th
Problem: Physics and the Empiricist Approach to Axiomatization". In Marta
Sanz-Solé et al (eds.), Proceedings of the
International Congress of Mathematicians, Madrid 2006, Vol. 3, Zurich,
European Mathematical Society (2006), 1679-1718. |
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"The Origin of Hilbert's Axiomatic Method". In: Jürgen Renn et
al (eds.).
The Genesis of General Relativity, Vol. 4
Theories of Gravitation in the Twilight of Classical Physics:
The Promise of Mathematics and the Dream of a Unified Theory, New
York, Springer (2006), pp. 139-236.
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"Axiomatics, Empiricism, and Anschauung in Hilbert´s Conception
of Geometry: Between Arithmetic and General Relativity". In:
Jeremy Gray and José Ferreirós (eds.) The Architecture of Modern
Mathematics: Essays in History and Philosophy, Oxford, Oxford University
Press (2006), 155-176.
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Contents
Introduction
Appendix 1
BROCHURE
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Hilbert and the Axiomatization of
Physics (1898-1918): From "Grundlagen der Geometrie" to "Grundlagen der
Physik", Dordrecht: Kluwer (2004),
ARCHIMEDES: New Studies in the History and Philosophy of Science and
Technology, Vol. 10.
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review
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"David Hilbert y su Filosofía Empiricista de la Geometría", Boletín
de la Asociación Matemática Venezolana, 9 (1) (2002), 27-44. |
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"Mathematical Structures from Hilbert to Bourbaki: The Evolution of an
Image of Mathematics", in A. Dahan and U. Bottazzini (eds.) Changing
Images of Mathematics in History. From the French Revolution to the new
Millenium, London, Harwood Academic Publishers (2001), 167-186. |
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review
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"The Empiricist Roots of Hilbert’s Axiomatic Method", in Vincent F.
Hendricks et al. (eds.)
Proof Theory: History and Philosophical Significance, Dordrecht, Kluwer
(2000): 35-54. |
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review
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"David Hilbert: Geometry and Physics: 1900-1915", in J.J. Gray (ed.)
The Symbolic Universe: Geometry and Physics (1890-1930),
Oxford, Oxford University Press (1999): 145-188. |
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review
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"David Hilbert between Mechanical and Electromagnetic Reductionism,
1910-1913",
Archive for History of Exact Sciences 53 (6): 489-527 (1999) |
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review
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"From Mie's Electromagnetic Theory of Matter to Hilbert's Foundations of
Physics"
Studies in History and Philosophy of Modern Physics
30(2): 159-183 (1999). |
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review
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"Hilbert on Kinetic Theory and Radiation Theory (1912-1914)",
Mathematical Intelligencer 20 (3): 52-58 (1998) 30(2): 159-183 (1999). |
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"Einstein, Hilbert y la Teoría General de la Relatividad",
Investigación y Ciencia 206 (Nov. 1998): 28-34. |
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"Los 23 Problemas de Hilbert y su Trasfondo Histórico", Boletín de la
Asociación Matemática Venezolana5 (2) (1998). |
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review
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"The Influence of David Hilbert and Hermann Minkowski on Einstein's
Views over the Interrelation between Physics and Mathematics", Endeavour
22(3): 95-97 (1998). |
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review
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"The Origins of Eternal Truth in Modern Mathematics: Hilbert to Bourbaki
and Beyond",
Science in Context, 12: 137-183 (1998). |
pdf
review
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"Belated Decision in the Hilbert-Einstein
Priority Dispute" (with Jürgen Renn and John Stachel),
Science 278: 1270-1273 (Nov. 14, 1998).
*
Read a very critical assessment to this article
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Read our reply to the critical assessment |
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review
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“Hermann Minkowski and the Postulate of Relativity”,
Archive for History of Exact Sciences
51: 281-314 (1997). |
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review
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“David Hilbert and the Axiomatization of Physics (1894-1905)”,
Archive for History of Exact Sciences 51: 89-197 (1997). |
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review
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“Axiomática Moderna y Algebra Estructural en la Obra de David Hilbert”,
Mathesis 12: 1-56 (1996). (Also available in
French translation) |