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An Essay On The Foundations Of Modern Geometry
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Book Synopsis An Essay on the Foundations of Modern Geometry by : Bertrand Russell
Download or read book An Essay on the Foundations of Modern Geometry written by Bertrand Russell and published by Courier Corporation. This book was released on 2003-01-01 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author, a Nobel Laureate and one of the 20th century's most important logicians, asks and answers basic questions about the intersection of philosophy and higher mathematics. 1897 edition.
Book Synopsis An Essay on the Foundations of Geometry by : Bertrand Russell
Download or read book An Essay on the Foundations of Geometry written by Bertrand Russell and published by . This book was released on 1897 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Essay on the Foundations of Geometry by : Bertrand Russell
Download or read book An Essay on the Foundations of Geometry written by Bertrand Russell and published by . This book was released on 1897 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Essay on the Foundations of Geometry by : Bertrand Russell
Download or read book An Essay on the Foundations of Geometry written by Bertrand Russell and published by Taylor & Francis. This book was released on 2022-09-15 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Essay on the Foundations of Geometry was first published in 1897 when Bertrand Russell was 25 years old. It marks his first major foray into analytic philosophy, a movement in which Russell is one of the founding members and figurehead. It provides a brilliant insight into Russell's early philosophical thought and an engaging and authoritative introduction to the philosophical and logical foundations of geometry - a version of which was fundamental to Einstein's theory of relativity. Russell explores and introduces the concepts of geometry and their philosophical implications, including a historical overview of geometrical theory, making it an invaluable resource not only for students of philosophy but anyone interested in the origins of the thought of one of the twentieth century's most important and widely-read philosophers. This Routledge Classics edition includes a new Foreword by Michael Potter.
Book Synopsis An Essay on the Foundations of Geometry (Classic Reprint) by : Bertrand A. W. Russell
Download or read book An Essay on the Foundations of Geometry (Classic Reprint) written by Bertrand A. W. Russell and published by Forgotten Books. This book was released on 2018-04-22 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from An Essay on the Foundations of Geometry My thanks are due to Mr G. F. Stout and Mr A. N. Whitehead for kindly reading my proofs, and helping me by many useful criticisms. To Mr Whitehead I owe, also, the inestimable assistance of constant criticism and suggestion throughout the course of construction, especially as regards the philosophical importance of projective Geometry. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Book Synopsis An Essay On The Foundations of Geometry by : Bertrand Russell
Download or read book An Essay On The Foundations of Geometry written by Bertrand Russell and published by Prabhat Prakashan. This book was released on 2023-10-01 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Essay on the Foundations of Geometry by Bertrand Russell: Dive into the world of mathematical philosophy with Bertrand Russell's "An Essay on the Foundations of Geometry." In this thought-provoking work, Russell explores the philosophical underpinnings of geometry, challenging conventional notions and stimulating intellectual inquiry. Key Aspects of the Book "An Essay on the Foundations of Geometry": Philosophy of Mathematics: Bertrand Russell delves into the philosophical questions surrounding the nature of geometry, axioms, and mathematical truth. Educational Inquiry: The book invites readers to engage in critical thinking about the foundations of geometry and the implications for mathematical education. Intellectual Exploration: "An Essay on the Foundations of Geometry" encourages intellectual curiosity and a deeper understanding of the relationship between mathematics and philosophy. Bertrand Russell was a renowned philosopher, logician, and social critic known for his contributions to various fields of philosophy and mathematics. This essay reflects his dedication to the pursuit of knowledge and the exploration of fundamental questions.
Book Synopsis New Foundations for Physical Geometry by : Tim Maudlin
Download or read book New Foundations for Physical Geometry written by Tim Maudlin and published by . This book was released on 2014-02 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tim Maudlin sets out a completely new method for describing the geometrical structure of spaces, and thus a better mathematical tool for describing and understanding space-time. He presents a historical review of the development of geometry and topology, and then his original Theory of Linear Structures.
Download or read book Mathematics written by Bertrand Russell and published by . This book was released on 2023-07-12 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Essay on the Foundations of Geometry was first published in 1897, and is based on Russell's Cambridge dissertation as well as lectures given during a journey through the USA. Bertrand Russell's Preface from the book: The present work is based on a dissertation submitted at the Fellowship Examination of Trinity College, Cambridge, in the year 1895. Section B of the third chapter is in the main a reprint, with some serious alterations, of an article in Mind (New Series, No. 17). The substance of the book has been given in the form of lectures at the Johns Hopkins University, Baltimore, and at Bryn Mawr College, Pennsylvania. My chief obligation is to Professor Klein. Throughout the first chapter, I have found his "Lectures on non-Euclidean Geometry" an invaluable guide; I have accepted from him the division of Metageometry into three periods, and have found my historical work much lightened by his references to previous writers. In Logic, I have learnt most from Mr Bradley, and next to him, from Sigwart and Dr Bosanquet. On several important points, I have derived useful suggestions from Professor James's "Principles of Psychology."
Book Synopsis The New International Encyclopaedia by :
Download or read book The New International Encyclopaedia written by and published by . This book was released on 1905 with total page 948 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The New International Encyclopaedia by : Frank Moore Colby
Download or read book The New International Encyclopaedia written by Frank Moore Colby and published by . This book was released on 1923 with total page 892 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Essay on the Foundations of Geometry by :
Download or read book An Essay on the Foundations of Geometry written by and published by Namaskar Book. This book was released on with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Embark on a thought-provoking journey into the foundations of geometry with "An Essay on the Foundations of Geometry: Bertrand Russell's Philosophical Inquiry" by Bertrand Russell. Join the esteemed philosopher as he delves deep into the philosophical underpinnings of this fundamental branch of mathematics. As you delve into Russell's essay, prepare to engage with the intricate concepts and abstract reasoning that define the study of geometry. With clarity and precision, Russell unravels the philosophical implications of geometric principles, inviting readers to ponder the nature of space, form, and mathematical truth. But beyond the realm of mathematics, Russell's inquiry extends into broader philosophical questions about the nature of reality and human knowledge. Through rigorous analysis and critical examination, he challenges conventional views of geometry and offers fresh insights into the relationship between mathematical abstraction and empirical reality. Yet, amidst the abstract theories and geometric axioms, a fundamental question emerges: What profound insights can we glean from Russell's philosophical inquiry into the foundations of geometry, and how might they reshape our understanding of the universe? Engage with Russell's philosophical discourse through concise, thought-provoking paragraphs that stimulate reflection and intellectual curiosity. His exploration of geometric foundations serves as a gateway to deeper philosophical inquiries, inviting readers to contemplate the nature of truth, perception, and human cognition. Now, as you embark on this intellectual odyssey with Russell, consider this: How can his insights into the foundations of geometry inspire us to explore the boundaries of human understanding and push the frontiers of mathematical knowledge? Seize the opportunity to delve into the depths of mathematical philosophy with "An Essay on the Foundations of Geometry: Bertrand Russell's Philosophical Inquiry." Acquire your copy today and embark on a transformative journey of intellectual discovery and philosophical insight. ```
Book Synopsis The Foundations of Geometry by : David Hilbert
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 Euclid's Elements written by Euclid and published by . This book was released on 2002 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.
Book Synopsis The New International Encyclopædia by : Daniel Coit Gilman
Download or read book The New International Encyclopædia written by Daniel Coit Gilman and published by . This book was released on 1903 with total page 1088 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Essays on the Foundations of Mathematics by Moritz Pasch by : Stephen Pollard
Download or read book Essays on the Foundations of Mathematics by Moritz Pasch written by Stephen Pollard and published by Springer Science & Business Media. This book was released on 2010-08-03 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Moritz Pasch (1843-1930) is justly celebrated as a key figure in the history of axiomatic geometry. Less well known are his contributions to other areas of foundational research. This volume features English translations of 14 papers Pasch published in the decade 1917-1926. In them, Pasch argues that geometry and, more surprisingly, number theory are branches of empirical science; he provides axioms for the combinatorial reasoning essential to Hilbert’s program of consistency proofs; he explores "implicit definition" (a generalization of definition by abstraction) and indicates how this technique yields an "empiricist" reconstruction of set theory; he argues that we cannot fully understand the logical structure of mathematics without clearly distinguishing between decidable and undecidable properties; he offers a rare glimpse into the mind of a master of axiomatics, surveying in detail the thought experiments he employed as he struggled to identify fundamental mathematical principles; and much more. This volume will: Give English speakers access to an important body of work from a turbulent and pivotal period in the history of mathematics, help us look beyond the familiar triad of formalism, intuitionism, and logicism, show how deeply we can see with the help of a guide determined to present fundamental mathematical ideas in ways that match our human capacities, will be of interest to graduate students and researchers in logic and the foundations of mathematics.
Book Synopsis The New International Encyclopædia by : Frank Moore Colby
Download or read book The New International Encyclopædia written by Frank Moore Colby and published by . This book was released on 1922 with total page 1744 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Leibniz and the Structure of Sciences by : Vincenzo De Risi
Download or read book Leibniz and the Structure of Sciences written by Vincenzo De Risi and published by Springer Nature. This book was released on 2020-01-01 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book offers a collection of essays on various aspects of Leibniz’s scientific thought, written by historians of science and world-leading experts on Leibniz. The essays deal with a vast array of topics on the exact sciences: Leibniz’s logic, mereology, the notion of infinity and cardinality, the foundations of geometry, the theory of curves and differential geometry, and finally dynamics and general epistemology. Several chapters attempt a reading of Leibniz’s scientific works through modern mathematical tools, and compare Leibniz’s results in these fields with 19th- and 20th-Century conceptions of them. All of them have special care in framing Leibniz’s work in historical context, and sometimes offer wider historical perspectives that go much beyond Leibniz’s researches. A special emphasis is given to effective mathematical practice rather than purely epistemological thought. The book is addressed to all scholars of the exact sciences who have an interest in historical research and Leibniz in particular, and may be useful to historians of mathematics, physics, and epistemology, mathematicians with historical interests, and philosophers of science at large.
