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

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Publisher : Springer Science & Business Media
ISBN 13 : 1402027788
Total Pages : 542 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis David Hilbert and the Axiomatization of Physics (1898–1918) by : L. Corry

Download or read book David Hilbert and the Axiomatization of Physics (1898–1918) written by L. Corry and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Based on an extensive use of mainly unpublished archival sources, the present book presents a totally fresh and comprehensive picture of Hilbert’s intense, original, well-informed, and highly influential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.

The Adventure of Reason

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Publisher : OUP Oxford
ISBN 13 : 0191021997
Total Pages : 631 pages
Book Rating : 4.1/5 (91 download)

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Book Synopsis The Adventure of Reason by : Paolo Mancosu

Download or read book The Adventure of Reason written by Paolo Mancosu and published by OUP Oxford. This book was released on 2014-01-09 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Cambridge Companion to Einstein

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Publisher : Cambridge University Press
ISBN 13 : 0521828341
Total Pages : 579 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis The Cambridge Companion to Einstein by : Michel Janssen

Download or read book The Cambridge Companion to Einstein written by Michel Janssen and published by Cambridge University Press. This book was released on 2014-05-19 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: These fourteen essays by leading historians and philosophers of science introduce the reader to the work of Albert Einstein. Following an introduction that places Einstein's work in the context of his life and times, the essays explain his main contributions to physics in terms that are accessible to a general audience, including special and general relativity, quantum physics, statistical physics, and unified field theory. The closing essays explore the relation between Einstein's work and twentieth-century philosophy, as well as his political writings.

Levels of Infinity

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Publisher : Courier Corporation
ISBN 13 : 0486266931
Total Pages : 258 pages
Book Rating : 4.4/5 (862 download)

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Book Synopsis Levels of Infinity by : Hermann Weyl

Download or read book Levels of Infinity written by Hermann Weyl and published by Courier Corporation. This book was released on 2013-09-26 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Original anthology features less-technical essays discussing logic, topology, abstract algebra, relativity theory, and the works of David Hilbert. Most have been long unavailable or previously unpublished in book form. 2012 edition.

Higher Speculations

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Publisher : Oxford University Press
ISBN 13 : 0191003344
Total Pages : 416 pages
Book Rating : 4.1/5 (91 download)

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Book Synopsis Higher Speculations by : Helge Kragh

Download or read book Higher Speculations written by Helge Kragh and published by Oxford University Press. This book was released on 2011-01-07 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Throughout history, people have tried to construct 'theories of everything': highly ambitious attempts to understand nature in its totality. This account presents these theories in their historical contexts, from little-known hypotheses from the past to modern developments such as the theory of superstrings, the anthropic principle, and ideas of many universes, and uses them to problematize the limits of scientific knowledge. Do claims to theories of everything belong to science at all? Which are the epistemic standards on which an alleged scientific theory of the universe - or the multiverse - is to be judged? Such questions are currently being discussed by physicists and cosmologists, but rarely within a historical perspective. This book argues that these questions have a history and that knowledge of the historical development of 'higher speculations' may inform and qualify the current debate on the nature and limits of scientific explanation.

Discourse on a New Method

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Publisher : Open Court Publishing
ISBN 13 : 081269662X
Total Pages : 864 pages
Book Rating : 4.8/5 (126 download)

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Book Synopsis Discourse on a New Method by : Mary Domski

Download or read book Discourse on a New Method written by Mary Domski and published by Open Court Publishing. This book was released on 2010 with total page 864 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addressing a wide range of topics, from Newton to Post-Kuhnian philosophy of science, these essays critically examine themes that have been central to the influential work of philosopher Michael Friedman. Special focus is given to Friedman's revealing study of both history of science and philosophy in his work on Kant, Newton, Einstein, and other major figures. This interaction of history and philosophy is the subject of the editors' "manifesto" and serves to both explain and promote the essential ties between two disciplines usually regarded as unrelated.

A Richer Picture of Mathematics

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Publisher : Springer
ISBN 13 : 3319678191
Total Pages : 448 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis A Richer Picture of Mathematics by : David E. Rowe

Download or read book A Richer Picture of Mathematics written by David E. Rowe and published by Springer. This book was released on 2018-02-13 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Historian David E. Rowe captures the rich tapestry of mathematical creativity in this collection of essays from the “Years Ago” column of The Mathematical Intelligencer. With topics ranging from ancient Greek mathematics to modern relativistic cosmology, this collection conveys the impetus and spirit of Rowe’s various and many-faceted contributions to the history of mathematics. Centered on the Göttingen mathematical tradition, these stories illuminate important facets of mathematical activity often overlooked in other accounts. Six sections place the essays in chronological and thematic order, beginning with new introductions that contextualize each section. The essays that follow recount episodes relating to the section’s overall theme. All of the essays in this collection, with the exception of two, appeared over the course of more than 30 years in The Mathematical Intelligencer. Based largely on archival and primary sources, these vignettes offer unusual insights into behind-the-scenes events. Taken together, they aim to show how Göttingen managed to attract an extraordinary array of talented individuals, several of whom contributed to the development of a new mathematical culture during the first decades of the twentieth century.

Interactions

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Publisher : Springer Science & Business Media
ISBN 13 : 1402051956
Total Pages : 345 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Interactions by : Vincent F. Hendricks

Download or read book Interactions written by Vincent F. Hendricks and published by Springer Science & Business Media. This book was released on 2007-01-17 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main theme of this anthology is the unique interaction between mathematics, physics and philosophy during the beginning of the 20th century. In this book, ten renowned philosopher-historians probe insightfully into key conceptual questions of pre-quantum mathematical physics. The result is a diverse yet thematically focused compilation of first class papers on mathematics, physics and philosophy, and a source-book on the interaction between them.

Max Dehn

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Publisher : American Mathematical Society
ISBN 13 : 1470461064
Total Pages : 292 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Max Dehn by : Jemma Lorenat

Download or read book Max Dehn written by Jemma Lorenat and published by American Mathematical Society. This book was released on 2024-10-04 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Max Dehn (1878?1952) is known to mathematicians today for his seminal contributions to geometry and topology?Dehn surgery, Dehn twists, the Dehn invariant, etc. He is also remembered as the first mathematician to solve one of Hilbert?s famous problems. However, Dehn's influence as a scholar and teacher extended far beyond his mathematics. Dehn also lived a remarkable life, described in this book in three phases. The first phase focuses on his early career as one of David Hilbert?s most gifted students. The second, after World War I, treats his time in Frankfurt where he led an intimate community of mathematicians in explorations of historical texts. The final phase, after 1938, concerns his flight from Nazi Germany to Scandinavia and eventually to the United States where, after various teaching experiences, the Dehns settled at iconic Black Mountain College. This book is a collection of essays written by mathematicians and historians of art and science. It treats Dehn?s mathematics and its influence, his journeys, and his remarkable engagement in history and the arts. A great deal of the information found in this book has never before been published.

Husserl and Mathematics

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Publisher : Cambridge University Press
ISBN 13 : 1108997562
Total Pages : 419 pages
Book Rating : 4.1/5 (89 download)

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Book Synopsis Husserl and Mathematics by : Mirja Hartimo

Download or read book Husserl and Mathematics written by Mirja Hartimo and published by Cambridge University Press. This book was released on 2021-08-05 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: Husserl and Mathematics explains the development of Husserl's phenomenological method in the context of his engagement in modern mathematics and its foundations. Drawing on his correspondence and other written sources, Mirja Hartimo details Husserl's knowledge of a wide range of perspectives on the foundations of mathematics, including those of Hilbert, Brouwer and Weyl, as well as his awareness of the new developments in the subject during the 1930s. Hartimo examines how Husserl's philosophical views responded to these changes, and offers a pluralistic and open-ended picture of Husserl's phenomenology of mathematics. Her study shows Husserl's phenomenology to be a method capable of both shedding light on and internally criticizing scientific practices and concepts.

Philosophy's Loss of Logic to Mathematics

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Publisher : Springer
ISBN 13 : 3319951475
Total Pages : 233 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Philosophy's Loss of Logic to Mathematics by : Woosuk Park

Download or read book Philosophy's Loss of Logic to Mathematics written by Woosuk Park and published by Springer. This book was released on 2018-07-12 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a historical explanation of important philosophical problems in logic and mathematics, which have been neglected by the official history of modern logic. It offers extensive information on Gottlob Frege’s logic, discussing which aspects of his logic can be considered truly innovative in its revolution against the Aristotelian logic. It presents the work of Hilbert and his associates and followers with the aim of understanding the revolutionary change in the axiomatic method. Moreover, it offers useful tools to understand Tarski’s and Gödel’s work, explaining why the problems they discussed are still unsolved. Finally, the book reports on some of the most influential positions in contemporary philosophy of mathematics, i.e., Maddy’s mathematical naturalism and Shapiro’s mathematical structuralism. Last but not least, the book introduces Biancani’s Aristotelian philosophy of mathematics as this is considered important to understand current philosophical issue in the applications of mathematics. One of the main purposes of the book is to stimulate readers to reconsider the Aristotelian position, which disappeared almost completely from the scene in logic and mathematics in the early twentieth century.

Beyond the Meme

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Publisher : U of Minnesota Press
ISBN 13 : 145296162X
Total Pages : 421 pages
Book Rating : 4.4/5 (529 download)

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Book Synopsis Beyond the Meme by : Alan C. Love

Download or read book Beyond the Meme written by Alan C. Love and published by U of Minnesota Press. This book was released on 2019-09-03 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interdisciplinary perspectives on cultural evolution that reject meme theory in favor of a complex understanding of dynamic change over time How do cultures change? In recent decades, the concept of the meme, posited as a basic unit of culture analogous to the gene, has been central to debates about cultural transformation. Despite the appeal of meme theory, its simplification of complex interactions and other inadequacies as an explanatory framework raise more questions about cultural evolution than it answers. In Beyond the Meme, William C. Wimsatt and Alan C. Love assemble interdisciplinary perspectives on cultural evolution, providing a nuanced understanding of it as a process in which dynamic structures interact on different scales of size and time. By focusing on the full range of evolutionary processes across distinct contexts, from rice farming to scientific reasoning, this volume demonstrates how a thick understanding of change in culture emerges from multiple disciplinary vantage points, each of which is required to understand cultural evolution in all its complexity. The editors provide an extensive introductory essay to contextualize the volume, and Wimsatt contributes a separate chapter that systematically organizes the conceptual geography of cultural processes and phenomena. Any adequate account of the transmission, elaboration, and evolution of culture must, this volume argues, recognize the central roles that cognitive and social development play in cultural change and the complex interplay of technological, organizational, and institutional structures needed to enable and coordinate these processes. Contributors: Marshall Abrams, U of Alabama at Birmingham; Claes Andersson, Chalmers U of Technology; Mark A. Bedau, Reed College; James A. Evans, U of Chicago; Jacob G. Foster, U of California, Los Angeles; Michel Janssen, U of Minnesota; Sabina Leonelli, U of Exeter; Massimo Maiocchi, U of Chicago; Joseph D. Martin, U of Cambridge; Salikoko S. Mufwene, U of Chicago; Nancy J. Nersessian, Georgia Institute of Technology and Harvard U; Paul E. Smaldino, U of California, Merced; Anton Törnberg, U of Gothenburg; Petter Törnberg, U of Amsterdam; Gilbert B. Tostevin, U of Minnesota.

Everything About Gravity - Proceedings Of The Second Lecospa International Symposium

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Publisher : World Scientific
ISBN 13 : 981320396X
Total Pages : 681 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Everything About Gravity - Proceedings Of The Second Lecospa International Symposium by : Pisin Chen

Download or read book Everything About Gravity - Proceedings Of The Second Lecospa International Symposium written by Pisin Chen and published by World Scientific. This book was released on 2016-12-29 with total page 681 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings of the 2nd LeCosPA International Symposium, 'Everything about Gravity', collects 78 papers contributed by the symposium's Plenary Session and Parallel Session speakers. Organizers of the Parallel Sessions have in addition prepared summaries for their own sessions. The topics range from quasi-local energy in GR in the presence of gravitational radiations, a gauge theory perspective of gravity, naked black hole firewalls related to the black hole information loss paradox, a new theory of spacetime quantization, relations between the Schwinger effect and the Hawking radiation and Unruh effect, conformal frames in cosmology, surprises in nonrelativistic naturalness, inflation and tensor fluctuations, emergent spacetime for quantum gravity, understanding strongly coupled magnetism through holographic principle, the detections of dark matter, ultra-high energy cosmic neutrinos and cosmic rays, etc. Last but not least, the closing remark delivered by John Ellis raised the following question: Does cosmological inflation require a modification of Einstein's gravity?After 100 years of remarkable success of Einstein's general relativity, the development of a successful quantum theory of gravity has become a major goal in physics in the 21st century. This volume serves as a valuable reference for scientists who are interested in frontier research topics of gravity.

Change and Variations

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Publisher : Springer Nature
ISBN 13 : 3030705757
Total Pages : 421 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Change and Variations by : Jeremy Gray

Download or read book Change and Variations written by Jeremy Gray and published by Springer Nature. This book was released on 2021-06-03 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a history of differential equations, both ordinary and partial, as well as the calculus of variations, from the origins of the subjects to around 1900. Topics treated include the wave equation in the hands of d’Alembert and Euler; Fourier’s solutions to the heat equation and the contribution of Kovalevskaya; the work of Euler, Gauss, Kummer, Riemann, and Poincaré on the hypergeometric equation; Green’s functions, the Dirichlet principle, and Schwarz’s solution of the Dirichlet problem; minimal surfaces; the telegraphists’ equation and Thomson’s successful design of the trans-Atlantic cable; Riemann’s paper on shock waves; the geometrical interpretation of mechanics; and aspects of the study of the calculus of variations from the problems of the catenary and the brachistochrone to attempts at a rigorous theory by Weierstrass, Kneser, and Hilbert. Three final chapters look at how the theory of partial differential equations stood around 1900, as they were treated by Picard and Hadamard. There are also extensive, new translations of original papers by Cauchy, Riemann, Schwarz, Darboux, and Picard. The first book to cover the history of differential equations and the calculus of variations in such breadth and detail, it will appeal to anyone with an interest in the field. Beyond secondary school mathematics and physics, a course in mathematical analysis is the only prerequisite to fully appreciate its contents. Based on a course for third-year university students, the book contains numerous historical and mathematical exercises, offers extensive advice to the student on how to write essays, and can easily be used in whole or in part as a course in the history of mathematics. Several appendices help make the book self-contained and suitable for self-study.

The World as a Mathematical Game

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Publisher : Springer Science & Business Media
ISBN 13 : 3764398965
Total Pages : 215 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis The World as a Mathematical Game by : Giorgio Israel

Download or read book The World as a Mathematical Game written by Giorgio Israel and published by Springer Science & Business Media. This book was released on 2009-04-24 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: Galileo and Newton’s work towards the mathematisation of the physical world; Leibniz’s universal logical calculus; the Enlightenment’s mathématique sociale. John von Neumann inherited all these aims and philosophical intuitions, together with an idea that grew up around the Vienna Circle of an ethics in the form of an exact science capable of guiding individuals to make correct decisions. With the help of his boundless mathematical capacity, von Neumann developed a conception of the world as a mathematical game, a world globally governed by a universal logic in which individual consciousness moved following different strategies: his vision guided him from set theory to quantum mechanics, to economics and to his theory of automata (anticipating artificial intelligence and cognitive science). This book provides the first comprehensive scientific and intellectual biography of John von Neumann, a man who perhaps more than any other is representative of twentieth century science.

One Hundred Years Of General Relativity: From Genesis And Empirical Foundations To Gravitational Waves, Cosmology And Quantum Gravity - Volume 1

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Publisher : World Scientific
ISBN 13 : 9814635146
Total Pages : 720 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis One Hundred Years Of General Relativity: From Genesis And Empirical Foundations To Gravitational Waves, Cosmology And Quantum Gravity - Volume 1 by : Wei-tou Ni

Download or read book One Hundred Years Of General Relativity: From Genesis And Empirical Foundations To Gravitational Waves, Cosmology And Quantum Gravity - Volume 1 written by Wei-tou Ni and published by World Scientific. This book was released on 2017-05-26 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this two-volume title is to give a comprehensive review of one hundred years of development of general relativity and its scientific influences. This unique title provides a broad introduction and review to the fascinating and profound subject of general relativity, its historical development, its important theoretical consequences, gravitational wave detection and applications to astrophysics and cosmology. The series focuses on five aspects of the theory: The first three topics are covered in Volume 1 and the remaining two are covered in Volume 2. While this is a two-volume title, it is designed so that each volume can be a standalone reference volume for the related topic.

The Best Writing on Mathematics 2012

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Publisher : Princeton University Press
ISBN 13 : 0691156557
Total Pages : 321 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis The Best Writing on Mathematics 2012 by : Mircea Pitici

Download or read book The Best Writing on Mathematics 2012 written by Mircea Pitici and published by Princeton University Press. This book was released on 2013 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: An anthology of the year's finest writing on mathematics from around the world, featuring promising new voices as well as some of the foremost names in mathematics.