Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

David Hilbert (1862-1943) est l’un de ces géants dont la figure domine l’histoire des mathématiques et marque le seuil d’une époque nouvelle. Il parcourt et transforme toutes les mathématiques, portant attention non plus à la nature des objets, la nature de l’espace en géométrie ou celle du nombre en arithmétique, mais à la structure des domaines. Ainsi, s’ouvre l’époque abstraite où, en France, grandira, par exemple, le groupe Bourbaki. Hilbert a indiqué des problèmes et des voies que les mathématiciens continuent d’explorer. Ses recherches ont donné appui à de nouvelles disciplines hors des mathématiques, comme la mécanique quantique ou l’informatique, et trouvé un écho inattendu hors des sciences exactes, dans la linguistique et la psychanalyse lacanienne. Avant tout, l’œuvre de Hilbert est le développement de la méthode abstraite qui caractérise les mathématiques modernes. Cette méthode, Hilbert l’applique dans tous les domaines mathématiques et, finalement, la pousse jusqu’à ses limites pour donner un fondement, une garantie dernière à la science. Le programme de fondement, que l’on a appelé le programme formaliste, donne lieu aux théorèmes d’incomplétude, qu’établit Gödel en 1931, et aux machines de Turing. Nous suivons cette aventure, de l’émergence de la méthode abstraite jusqu’au programme formaliste et aux résultats de Gödel et de Turing. Nous tentons d’en dégager la portée philosophique. Sont en jeu le statut de l’infini, l’extension et les caractères de la pensée humaine.

Mathematicians --- Hilbert, David, --- Gilʹbert, D., --- Hilbert, D. --- 希爾伯特, --- Mathematicians - Germany - Biography.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

David Hilbert was one of the great mathematicians who expounded the centrality of their subject in human thought. In this collection of essays, Wilfried Sieg frames Hilbert's foundational work, from 1890 to 1939, in a comprehensive way and integrates it with modern proof theoretic investigations. Ten essays are devoted to the analysis of classical as well as modern proof theory; three papers on the mathematical roots of Hilbert's work precede the analytical core, and three final essays exploit an open philosophical horizon for reflection on the nature of mathematics in the 21st century.

Mathematical logic --- Philosophy of science --- Hilbert, David --- Mathematics --- Mathématiques --- Philosophy. --- Philosophie --- Hilbert, David, --- Philosophie. --- Logic of mathematics --- Mathematics, Logic of --- Gilʹbert, D., --- Hilbert, D. --- 希爾伯特, --- Mathématiques

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Geometry --- 514.11 --- Tetrahedra --- Geometry, Solid --- Polyhedra --- Elementary geometry, trigonometry, polygonometry --- Hilbert, David --- Tetrahedra. --- Hilbert, David, --- 514.11 Elementary geometry, trigonometry, polygonometry --- Gilʹbert, D., --- Hilbert, D. --- 希爾伯特, --- Géometrie combinatoire

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Hilbert, David, --- Existence theorems --- Mathematics --- Logic of mathematics --- Mathematics, Logic of --- Philosophy --- Gilʹbert, D., --- Hilbert, D. --- 希爾伯特, --- Differential equations --- Mathematical physics --- Hilbert, David, - 1862-1943. --- Hilbert, David, 1862-1943

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

David Hilbert (1862-1943) was the most influential mathematician of the early twentieth century and, together with Henri Poincaré, the last mathematical universalist. His main known areas of research and influence were in pure mathematics (algebra, number theory, geometry, integral equations and analysis, logic and foundations), but he was also known to have some interest in physical topics. The latter, however, was traditionally conceived as comprising only sporadic incursions into a scientific domain which was essentially foreign to his mainstream of activity and in which he only made scattered, if important, contributions. Based on an extensive use of mainly unpublished archival sources, the present book presents a totally fresh and comprehensive picture of Hilbert’s intense, original, well-informed, and highly influential involvement with physics, that spanned his entire career and that constituted a truly main focus of interest in his scientific horizon. His program for axiomatizing physical theories provides the connecting link with his research in more purely mathematical fields, especially geometry, and a unifying point of view from which to understand his physical activities in general. In particular, the now famous dialogue and interaction between Hilbert and Einstein, leading to the formulation in 1915 of the generally covariant field-equations of gravitation, is adequately explored here within the natural context of Hilbert’s overall scientific world-view. This book will be of interest to historians of physics and of mathematics, to historically-minded physicists and mathematicians, and to philosophers of science.

Mathematicians --- Mathématiciens --- Axioma's. --- Mathematische fysica. --- Hilbert, David, --- Gilʹbert, D., --- Hilbert, D. --- 希爾伯特, --- Physics. --- Mathematics. --- History. --- Philosophy and science. --- History and Philosophical Foundations of Physics. --- History of Mathematical Sciences. --- Mathematical Methods in Physics. --- Philosophy of Science. --- Science and philosophy --- Science --- Annals --- Auxiliary sciences of history --- Math --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics