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David Hilbert's Lectures on the Foundations of Physics 1915-1927

David Hilbert's Lectures on the Foundations of Physics 1915-1927
Author: Tilman Sauer
Publisher: Springer Science & Business Media
Total Pages: 803
Release: 2009-08-06
Genre: Mathematics
ISBN: 3540682422

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These documents do nothing less than bear witness to one of the most dramatic changes in the foundations of science. The book has three sections that cover general relativity, epistemological issues, and quantum mechanics. This fascinating work will be a vital text for historians and philosophers of physics, as well as researchers in related physical theories.


Establishing Quantum Physics in Göttingen

Establishing Quantum Physics in Göttingen
Author: Arne Schirrmacher
Publisher: Springer
Total Pages: 120
Release: 2019-08-01
Genre: Science
ISBN: 3030227278

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Quantum mechanics – the grandiose theory that describes nature down to the submicroscopic level – was first formulated in Göttingen in 1925. How did this come about and why is it that Göttingen became the pre-eminent location for a revolution in physics? This book is the first to investigate the wide range of factors that were pivotal for quantum physics to be established in Göttingen. These include the process of generational change of physics professors, the hopes of mathematicians seeking new fields of research, and a new understanding of the interplay of experiment, theory and philosophy.


David Hilbert’s Lectures on the Foundations of Geometry 1891–1902

David Hilbert’s Lectures on the Foundations of Geometry 1891–1902
Author: Michael Hallett
Publisher: Springer Science & Business Media
Total Pages: 708
Release: 2004-05-17
Genre: Mathematics
ISBN: 9783540643739

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This volume contains six sets of notes for lectures on the foundations of geometry held by Hilbert in the period 1891-1902. It also reprints the first edition of Hilbert’s celebrated Grundlagen der Geometrie of 1899, together with the important additions which appeared first in the French translation of 1900. The lectures document the emergence of a new approach to foundational study and contain many reflections and investigations which never found their way into print.


Hajnal Andréka and István Németi on Unity of Science

Hajnal Andréka and István Németi on Unity of Science
Author: Judit Madarász
Publisher: Springer Nature
Total Pages: 517
Release: 2021-05-31
Genre: Philosophy
ISBN: 3030641872

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This book features more than 20 papers that celebrate the work of Hajnal Andréka and István Németi. It illustrates an interaction between developing and applying mathematical logic. The papers offer new results as well as surveys in areas influenced by these two outstanding researchers. They also provide details on the after-life of some of their initiatives. Computer science connects the papers in the first part of the book. The second part concentrates on algebraic logic. It features a range of papers that hint at the intricate many-way connections between logic, algebra, and geometry. The third part explores novel applications of logic in relativity theory, philosophy of logic, philosophy of physics and spacetime, and methodology of science. They include such exciting subjects as time travelling in emergent spacetime. The short autobiographies of Hajnal Andréka and István Németi at the end of the book describe an adventurous journey from electric engineering and Maxwell’s equations to a complex system of computer programs for designing Hungary’s electric power system, to exploring and contributing deep results to Tarskian algebraic logic as the deepest core theory of such questions, then on to applications of the results in such exciting new areas as relativity theory in order to rejuvenate logic itself.


A Mathematician's Journeys

A Mathematician's Journeys
Author: Alexander Jones
Publisher: Springer
Total Pages: 349
Release: 2016-02-03
Genre: History
ISBN: 3319258656

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This book explores facets of Otto Neugebauer's career, his impact on the history and practice of mathematics, and the ways in which his legacy has been preserved or transformed in recent decades, looking ahead to the directions in which the study of the history of science will head in the twenty-first century. Neugebauer, more than any other scholar of recent times, shaped the way we perceive premodern science. Through his scholarship and influence on students and collaborators, he inculcated both an approach to historical research on ancient and medieval mathematics and astronomy through precise mathematical and philological study of texts, and a vision of these sciences as systems of knowledge and method that spread outward from the ancient Near Eastern civilizations, crossing cultural boundaries and circulating over a tremendous geographical expanse of the Old World from the Atlantic to India.


The Adventure of Reason

The Adventure of Reason
Author: Paolo Mancosu
Publisher: OUP Oxford
Total Pages: 632
Release: 2014-01-09
Genre: Philosophy
ISBN: 0191021997

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Paolo Mancosu presents a series of innovative studies in the history and the philosophy of logic and mathematics in the first half of the twentieth century. The Adventure of Reason is divided into five main sections: history of logic (from Russell to Tarski); foundational issues (Hilbert's program, constructivity, Wittgenstein, Gödel); mathematics and phenomenology (Weyl, Becker, Mahnke); nominalism (Quine, Tarski); semantics (Tarski, Carnap, Neurath). Mancosu exploits extensive untapped archival sources to make available a wealth of new material that deepens in significant ways our understanding of these fascinating areas of modern intellectual history. At the same time, the book is a contribution to recent philosophical debates, in particular on the prospects for a successful nominalist reconstruction of mathematics, the nature of finitist intuition, the viability of alternative definitions of logical consequence, and the extent to which phenomenology can hope to account for the exact sciences.


Beyond Einstein

Beyond Einstein
Author: David E. Rowe
Publisher: Birkhäuser
Total Pages: 492
Release: 2018-06-18
Genre: Mathematics
ISBN: 1493977083

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Beyond Einstein: Perspectives on Geometry, Gravitation, and Cosmology explores the rich interplay between mathematical and physical ideas by studying the interactions of major actors and the roles of important research communities over the course of the last century.


Hilbert's Programs and Beyond

Hilbert's Programs and Beyond
Author: Wilfried Sieg
Publisher: Oxford University Press
Total Pages: 452
Release: 2013-03-07
Genre: Computers
ISBN: 0195372220

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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.


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

David Hilbert and the Axiomatization of Physics (1898–1918)
Author: L. Corry
Publisher: Springer Science & Business Media
Total Pages: 542
Release: 2013-06-29
Genre: Science
ISBN: 1402027788

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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.