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The Evolution of Principia Mathematica

The Evolution of Principia Mathematica

Autor: Bernard Linsky

Número de Páginas: 419

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.

The Palgrave Centenary Companion to Principia Mathematica

The Palgrave Centenary Companion to Principia Mathematica

Autor: Bernard Linsky

Número de Páginas: 479

To mark the centenary of the 1910 to 1913 publication of the monumental Principia Mathematica by Alfred N. Whitehead and Bertrand Russell, this collection of fifteen new essays by distinguished scholars considers the influence and history of PM over the last hundred years.

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Principia mathematica

Autor: Alfred North Whitehead , Bertrand Russell

Número de Páginas: 471

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.

On Formally Undecidable Propositions of Principia Mathematica and Related Systems

On Formally Undecidable Propositions of Principia Mathematica and Related Systems

Autor: Kurt Gödel

Número de Páginas: 84

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....

The Principia: The Authoritative Translation and Guide

The Principia: The Authoritative Translation and Guide

Autor: Sir Isaac Newton

Número de Páginas: 986

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 ...

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Autour des "Principia Mathematica" de Russell et Whitehead

Autor: Alexandre Guay

Número de Páginas: 167

I1 y a cent ans paraissait un ouvrage de logique qui a marqué considérablement les études dans ce domaine tout au long du XXe siècle, soit que l'on en poursuivit le projet, soit, au contraire, que l'on en critiqua la démarche. Les Principia Mathematica de Russell et Whitehead sont donc une oeuvre majeure sur laquelle il n'était par inutile de revenir en ce début du XXIe siècle. Certes la question à laquelle ils étaient censés répondre, c'est-à-dire celle d'un fondement rigoureux et solide des mathématiques sur la logique formelle paraît aujourd'hui dépassée. Les travaux de Gödel dans les années trente du siècle précédent ont d'une certaine façon mis fin aux ambitions du formalisme et du logicisme tels qu'ils s'exprimaient dans cet ouvrage. Cependant, de nombreuses autres questions ont été soulevées par ce texte que l'ouvrage ici présenté tente d'élucider. Les articles qui le composent reprennent, entre autres, le débat qui opposa à la démarche de Russell aussi bien l'intuitionnisme que les travaux de Lesniewski. Le travail présenté ici montre combien demeure aujourd'hui vivante la philosophie de la logique en langue française, ce dont on peut se...

Marginalia in Newtoni Principia mathematica

Marginalia in Newtoni "Principia mathematica"

Autor: Gottfried Wilhelm Freiherr Von Leibniz

Número de Páginas: 140

La decouverte par le Dr. E. A. Fellmann de l'exemplaire des Principia Mathematica de Newton ayant appartenu a Leibniz et contenant des notes marginales manuscrites (datant vraisemblablement de 1689), apporte un temoignage direct de la premiere reaction de Leibniz devant l'oeuvre du savant anglais. La presente edition met le document original entre les mains du lecteur, en l'accompagnant des notes et commentaires objectifs indispensables (en allemand et en francais). Le rapport de Leibniz a Newton a souvent ete envisage dans le cadre de la facheuse querelle de priorite dans l'invention du calcul differentiel et integral. Or Leibniz, prenant connaissance des Principia, n'y voit pas un traite purement mathematique: refusant d'enteriner la scission entre la mecanique et les lois de la pensee, il se soucie avant tout d'etablir une fondation metaphysique pour la dynamique. Les Marginalia ont l'originalite de nous presenter, non pas un Leibniz adversaire ou rival, mais un Leibniz lecteur de Newton, dispose a tirer le meilleur parti d'un systeme qui aurait pu, a bien des egards, lui sembler etranger, comme le confirmera la systemisation ulterieure du concept de vis visa.

Philosophiae Naturalis Principia Mathematica, Volume 3, Issue 1...

Philosophiae Naturalis Principia Mathematica, Volume 3, Issue 1...

Autor: Isaac Newton , Thomas Leseur , François Jacquier

Número de Páginas: 0

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Catalogue de la bibliotheque scientifique, historique et litteraire de Michel Chasles

Catalogue de la bibliotheque scientifique, historique et litteraire de Michel Chasles

Autor: Anatole Claudin

Número de Páginas: 412
Catalogue de la bibliothèque scientifique, historique et littéraire de feu M. Michel Chasles...

Catalogue de la bibliothèque scientifique, historique et littéraire de feu M. Michel Chasles...

Autor: Michel Chasles , Georges Boulland

Número de Páginas: 452
Philosophiae Naturalis Principia Mathematica (Latin)

Philosophiae Naturalis Principia Mathematica (Latin)

Autor: Isaac Newton

Número de Páginas: 408

Philosophiae Naturalis Principia Mathematica by Sir Isaac Newton: Delve into the foundational work of modern physics and mathematics in Philosophiae Naturalis Principia Mathematica by Sir Isaac Newton. This groundbreaking book presents Newton's laws of motion and universal gravitation, revolutionizing our understanding of the physical world. Key Aspects of the Book Philosophiae Naturalis Principia Mathematica: Scientific Revolution: Sir Isaac Newton's work marked a profound shift in scientific thought, introducing the principles of classical mechanics that still form the basis of physics today. Mathematical Rigor: The book is renowned for its mathematical precision and rigorous proofs, setting a new standard for scientific inquiry. Enduring Influence: Principia Mathematica laid the groundwork for centuries of scientific discovery and remains a cornerstone of physics. Sir Isaac Newton was an English mathematician, physicist, and astronomer who made significant contributions to various fields of science and mathematics. Philosophiae Naturalis Principia Mathematica is a testament to his genius and legacy.

The Prolegomena to a 1985 Philosophiae Naturalis Principia Mathematica

The Prolegomena to a 1985 Philosophiae Naturalis Principia Mathematica

Autor: Filmer Stuart Cuckow Northrop

Número de Páginas: 100

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