Principia Mathematica
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Principia Mathematica
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Author : Alfred North Whitehead
language : en
Publisher: Cambridge University Press
Release Date : 1927
Principia Mathematica written by Alfred North Whitehead and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1927 with Mathematics categories.
The Principia Mathematica has long been recognised as one of the intellectual landmarks of the century.
The Evolution Of Principia Mathematica
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Author : Bernard Linsky
language : en
Publisher: Cambridge University Press
Release Date : 2011-06-09
The Evolution Of Principia Mathematica written by Bernard Linsky and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-09 with Mathematics categories.
Originally published in 1910, Principia Mathematica led to the development of mathematical logic and computers and thus to information sciences. It became a model for modern analytic philosophy and remains an important work. In the late 1960s the Bertrand Russell Archives at McMaster University in Canada obtained Russell's papers, letters and library. These archives contained the manuscripts for the new Introduction and three Appendices that Russell added to the second edition in 1925. Also included was another manuscript, 'The Hierarchy of Propositions and Functions', which was divided up and re-used to create the final changes for the second edition. These documents provide fascinating insight, including Russell's attempts to work out the theorems in the flawed Appendix B, 'On Induction'. An extensive introduction describes the stages of the manuscript material on the way to print and analyzes the proposed changes in the context of the development of symbolic logic after 1910.
Principia Mathematica
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Author : Alfred North Whitehead
language : es
Publisher:
Release Date : 1981
Principia Mathematica written by Alfred North Whitehead and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Mathematics categories.
Principia Mathematica was first published in 1910 13; this is the ninth impression of the second edition of 1925 7. The Principia has long been recognised as one of the intellectual landmarks of the century. It was the first book to show clearly the close relationship between mathematics and formal logic. Starting from a minimal number of axioms, Whitehead and Russell display the structure of both kinds of thought. No other book has had such an influence on the subsequent history of mathematical philosophy.
The Principia
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Author : Isaac Newton
language : en
Publisher: Univ of California Press
Release Date : 1999-10-20
The Principia written by Isaac Newton and has been published by Univ of California Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-10-20 with Science categories.
Presents Newton's unifying idea of gravitation and explains how he converted physics from a science of explanation into a general mathematical system.
On Formally Undecidable Propositions Of Principia Mathematica And Related Systems
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Author : Kurt Gödel
language : en
Publisher: Courier Corporation
Release Date : 1992-01-01
On Formally Undecidable Propositions Of Principia Mathematica And Related Systems written by Kurt Gödel and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-01-01 with Mathematics categories.
In 1931, a young Austrian mathematician published an epoch-making paper containing one of the most revolutionary ideas in logic since Aristotle. Kurt Giidel maintained, and offered detailed proof, that in any arithmetic system, even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. It is thus uncertain that the basic axioms of arithmetic will not give rise to contradictions. The repercussions of this discovery are still being felt and debated in 20th-century mathematics. The present volume reprints the first English translation of Giidel's far-reaching work. Not only does it make the argument more intelligible, but the introduction contributed by Professor R. B. Braithwaite (Cambridge University}, an excellent work of scholarship in its own right, illuminates it by paraphrasing the major part of the argument. This Dover edition thus makes widely available a superb edition of a classic work of original thought, one that will be of profound interest to mathematicians, logicians and anyone interested in the history of attempts to establish axioms that would provide a rigorous basis for all mathematics. Translated by B. Meltzer, University of Edinburgh. Preface. Introduction by R. B. Braithwaite.
Principia Mathematica
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Author : Alfred North Whitehead
language : en
Publisher:
Release Date : 1973
Principia Mathematica written by Alfred North Whitehead and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Logic, Symbolic and mathematical categories.
My Philosophical Development
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Author : Bertrand Russell
language : en
Publisher: Psychology Press
Release Date : 1995
My Philosophical Development written by Bertrand Russell and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Biography & Autobiography categories.
Bertrand Russell's survey of nearly seventy years of his own work is one of the most illuminating books. It is a masterpiece of philosophical autobiography. This edition includes a new introduction by Thomas Baldwin, University of Cambridge.
The Principia The Authoritative Translation And Guide
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Author : Sir Isaac Newton
language : en
Publisher: Univ of California Press
Release Date : 2016-02-05
The Principia The Authoritative Translation And Guide written by Sir Isaac Newton and has been published by Univ of California Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-05 with Science categories.
In his monumental 1687 work, Philosophiae Naturalis Principia Mathematica, known familiarly as the Principia, Isaac Newton laid out in mathematical terms the principles of time, force, and motion that have guided the development of modern physical science. Even after more than three centuries and the revolutions of Einsteinian relativity and quantum mechanics, Newtonian physics continues to account for many of the phenomena of the observed world, and Newtonian celestial dynamics is used to determine the orbits of our space vehicles. This authoritative, modern translation by I. Bernard Cohen and Anne Whitman, the first in more than 285 years, is based on the 1726 edition, the final revised version approved by Newton; it includes extracts from the earlier editions, corrects errors found in earlier versions, and replaces archaic English with contemporary prose and up-to-date mathematical forms. Newton's principles describe acceleration, deceleration, and inertial movement; fluid dynamics; and the motions of the earth, moon, planets, and comets. A great work in itself, the Principia also revolutionized the methods of scientific investigation. It set forth the fundamental three laws of motion and the law of universal gravity, the physical principles that account for the Copernican system of the world as emended by Kepler, thus effectively ending controversy concerning the Copernican planetary system. The illuminating Guide to Newton's Principia by I. Bernard Cohen makes this preeminent work truly accessible for today's scientists, scholars, and students.
Philosophiae Naturalis Principia Mathematica
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Author : Sir Isaac Newton
language : en
Publisher: Namaskar Books
Release Date : 2025-04-07
Philosophiae Naturalis Principia Mathematica written by Sir Isaac Newton and has been published by Namaskar Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-07 with Science categories.
Philosophiæ Naturalis Principia Mathematica, often referred to simply as the Principia, is a monumental work in the history of science written by the renowned physicist and mathematician Sir Isaac Newton. First published in 1687, this foundational text laid the groundwork for classical mechanics and fundamentally transformed our understanding of the physical universe. Newton’s meticulous formulation of the laws of motion and universal gravitation in this work not only established the principles that govern celestial and terrestrial motion but also marked a pivotal moment in the Scientific Revolution. The Principia is structured into three main books. In the first book, Newton introduces his famous three laws of motion, detailing the relationships between the forces acting on an object and its motion. He explores concepts such as inertia, acceleration, and the action-reaction principle, providing a coherent framework that explains how and why objects move. Newton’s innovative use of mathematical rigor in deducing these laws through geometric proofs is particularly significant, setting a precedent for the integration of mathematics into physical science. In the second book, Newton examines the motion of objects in fluids, exploring various aspects of resistance and the behavior of bodies in motion through different mediums. This section furthers the understanding of forces acting upon objects and expands the application of his laws to practical scenarios, including the motion of projectiles and the dynamics involved in fluid motions. The third book delves into celestial mechanics, where Newton adeptly applies his laws to the motions of planets and moons. He presents a groundbreaking explanation of the orbits of celestial bodies, establishing the law of universal gravitation: the principle that every mass attracts every other mass in the universe with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. This unifying theory provided a comprehensive understanding of both terrestrial and cosmic phenomena, demonstrating that the same set of laws applies to objects on Earth and celestial bodies in space. An essential aspect of the Principia is its methodological approach, which emphasizes empirical observation and mathematical reasoning. Newton’s reliance on experimentation and observation set a new standard for scientific inquiry, steering away from purely philosophical speculation. His work encouraged subsequent generations of scientists to adopt a similar approach, creating a robust framework for future scientific discovery and innovation. Newton’s profound work in the Philosophiæ Naturalis Principia Mathematica not only revolutionized physics but also had significant repercussions in various other fields, including astronomy, engineering, and even philosophy. The book is celebrated not only for its content but for the way it encapsulates the spirit of the Enlightenment—an era characterized by a belief in rationality, systematic inquiry, and the pursuit of knowledge. In conclusion, the Principia stands as a testament to Newton's genius and has remained influential for over three centuries. Its concepts continue to be fundamental in modern physics, establishing Newton as one of history's greatest scientific minds. For scholars, students, and anyone interested in the evolution of scientific thought, Philosophiæ Naturalis Principia Mathematica is an indispensable work that richly rewards careful study and reflection.
Philosophi Naturalis Principia Mathematica
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Author : Isaac Newton
language : la
Publisher:
Release Date : 1822
Philosophi Naturalis Principia Mathematica written by Isaac Newton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1822 with Celestial mechanics categories.