Download or read book Grundlagen Der Geometrie Von Dr David Hilbert written by David Hilbert and published by . This book was released on 1923 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book David Hilbert s Lectures on the Foundations of Geometry 1891 1902 written by Michael Hallett and published by Springer Science & Business Media. This book was released on 2004-05-17 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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 Based on an extensive use of mainly unpublished archival sources, the present book presents a totally fresh and comprehensive picture of Hilbert’s intense, original, well-informed, and highly influential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.
Download or read book Philosophy of Geometry from Riemann to Poincar written by R. Torretti and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry has fascinated philosophers since the days of Thales and Pythagoras. In the 17th and 18th centuries it provided a paradigm of knowledge after which some thinkers tried to pattern their own metaphysical systems. But after the discovery of non-Euclidean geometries in the 19th century, the nature and scope of geometry became a bone of contention. Philosophical concern with geometry increased in the 1920's after Einstein used Riemannian geometry in his theory of gravitation. During the last fifteen or twenty years, renewed interest in the latter theory -prompted by advances in cosmology -has brought geometry once again to the forefront of philosophical discussion. The issues at stake in the current epistemological debate about geometry can only be understood in the light of history, and, in fact, most recent works on the subject include historical material. In this book, I try to give a selective critical survey of modern philosophy of geometry during its seminal period, which can be said to have begun shortly after 1850 with Riemann's generalized conception of space and to achieve some sort of completion at the turn of the century with Hilbert's axiomatics and Poincare's conventionalism. The philosophy of geometry of Einstein and his contemporaries will be the subject of another book. The book is divided into four chapters. Chapter 1 provides back ground information about the history of science and philosophy.
Download or read book The Foundations of Geometry written by David Hilbert and published by Read Books Ltd. This book was released on 2015-05-06 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: This early work by David Hilbert was originally published in the early 20th century and we are now republishing it with a brand new introductory biography. David Hilbert was born on the 23rd January 1862, in a Province of Prussia. Hilbert is recognised as one of the most influential and universal mathematicians of the 19th and early 20th centuries. He discovered and developed a broad range of fundamental ideas in many areas, including invariant theory and the axiomatization of geometry. He also formulated the theory of Hilbert spaces, one of the foundations of functional analysis.
Download or read book The Prehistory of Mathematical Structuralism written by Erich H. Reck and published by Oxford University Press. This book was released on 2020 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume explores the previously underacknowledged 'pre-history' of mathematical structuralism, showing that structuralism has deep roots in the history of modern mathematics. The contributors explore this history along two distinct but interconnected dimensions. First, they reconsider the methodological contributions of major figures in the history of mathematics. Second, they re-examine a range of philosophical reflections from mathematically-inclinded philosophers like Russell, Carnap, and Quine, whose work led to profound conclusions about logical, epistemological, and metaphysic.
Download or read book Bulletin of the American Mathematical Society written by and published by . This book was released on 1899 with total page 1052 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Euclides written by and published by . This book was released on 1925 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Author title Catalog written by University of California, Berkeley. Library and published by . This book was released on 1963 with total page 1028 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Bulletin new Series of the American Mathematical Society written by and published by . This book was released on 1900 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Foundations of Geometry written by David Hilbert and published by . This book was released on 1902 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Foundations of Geometry written by David Hilbert and published by Prabhat Prakashan. This book was released on 2023-10-01 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Foundations of Geometry by David Hilbert: The Foundations of Geometry is a groundbreaking work by mathematician David Hilbert that explores the fundamental principles and axioms of geometry. Hilbert presents a rigorous and comprehensive framework for understanding the logical foundations of geometry, laying the groundwork for further advancements in mathematical thinking. Key Aspects of the Book “The Foundations of Geometry”: Axiomatic Approach: Hilbert's work introduces an axiomatic approach to geometry, emphasizing the importance of precise definitions, logical deductions, and the systematic development of geometric concepts. He establishes a set of axioms and explores their implications, providing a solid foundation for the study of geometry and mathematical reasoning. Geometric Systems: The book delves into different geometric systems, such as Euclidean geometry, non-Euclidean geometries (like hyperbolic and elliptic geometries), and projective geometry. Hilbert explores the relationships between these systems, elucidating their distinctive properties, postulates, and implications for mathematical understanding. Logical Consistency: Hilbert's emphasis on logical consistency and rigor makes The Foundations of Geometry a seminal work in the field. He demonstrates the power of logical reasoning, the importance of clear definitions, and the significance of axiomatic systems in establishing a coherent and reliable mathematical framework. David Hilbert, a German mathematician, is widely regarded as one of the most influential mathematicians of the 20th century. Born in 1862, Hilbert made significant contributions to various branches of mathematics, including number theory, algebra, and mathematical logic. His groundbreaking work on the foundations of mathematics, known as Hilbert's program, had a profound impact on the field and set the stage for advancements in mathematical logic and computer science. Hilbert's rigorous approach to mathematical reasoning and his emphasis on precision and clarity continue to shape the discipline to this day.
Download or read book Language Truth and Knowledge written by Thomas Bonk and published by Springer Science & Business Media. This book was released on 2003-09-30 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection will prove a valuable resource for our understanding of the historic Carnap and the living philosophical issues with which he grappled. It arose out of a symposium on Carnap's work (Vienna, 2001). With essays by Graham H. Bird, Jaakko Hintikka, Ilkka Niiniluoto, Jan Wolenski, this volume will interest graduate students of the philosophy of language and logic, as well as professional philosophers, historians of analytic philosophy, and philosophically inclined logicians.
Download or read book Mechanistic Images in Geometric Form written by Jesper Lützen and published by OUP Oxford. This book was released on 2005-05-12 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an analysis of Hertz's posthumously published Principles of Mechanics in its philosophical, physical and mathematical context. In a period of heated debates about the true foundation of physical sciences, Hertz's book was conceived and highly regarded as an original and rigorous foundation for a mechanistic research program. Insisting that a law-like account of nature would require hypothetical unobservables, Hertz viewed physical theories as (mental) images of the world rather than the true design behind the phenomena. This paved the way for the modern conception of a model. Rejecting the concept of force as a coherent basic notion of physics he built his mechanics on hidden masses (the ether) and rigid connections, and formulated it as a new differential geometric language. Recently many philosophers have studied Hertz's image theory and historians of physics have discussed his forceless mechanics. The present book shows how these aspects, as well as the hitherto overlooked mathematical aspects, form an integrated whole which is closely connected to the mechanistic world view of the time and which is a natural continuation of Hertz's earlier research on electromagnetism. Therefore it is also a case study of the strong interactions between philosophy, physics and mathematics. Moreover, the book presents an analysis of the genesis of many of the central elements of Hertz's mechanics based on his manuscripts and drafts. Hertz's research program was cut short by the advent of relativity theory but its image theory influenced many philosophers as well as some physicists and mathematicians and its geometric form had a lasting influence on advanced expositions of mechanics.
Download or read book Catalog of Copyright Entries New Series written by Library of Congress. Copyright Office and published by Copyright Office, Library of Congress. This book was released on 1932 with total page 2934 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Erkenntnis Orientated A Centennial Volume for Rudolf Carnap and Hans Reichenbach written by W. Spohn and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rudolf Carnap was born on May 18, 1891, and Hans Reichenbach on September 26 in the same year. They are two of the greatest philosophers of this century, and they are eminent representatives of what is perhaps the most powerful contemporary philosophical movement. Moreover, they founded the journal Erkenntnis. This is ample reason for presenting, on behalf of Erkenntnis, a collection of essays in honor of them and their philosophical work. I am less sure, however, whether it is a good time for resuming their philosophical impact; their work still is rather part than historical basis of the present philosophical melting-pot. Their basic philosophical theses have currently, it may seem, not so high a standing, but their impact can be seen in numerous detailed issues; they have opened or pushed forward lively fields of research which are still very actively pursued not only within philosophy, but also in many neighboring disciplines. Whatever the present balance of opinions about their philosophical ideas, there is something even more basic in their philosophy than their tenets which is as fresh, as stimulating, as exemplary as ever. I have in mind their way of philosophizing, their conception of how to do philosophy. It is always a good time for reinforcing that conception; and if this volume would manage to do so, it would fully serve its purpose.
Download or read book Books and Library Notes written by Mississippi State University and published by . This book was released on with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt:
