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Author: Bertrand Russell Publisher: ISBN: 9782228883511 Category : Mathematics Languages : fr Pages : 382
Book Description
Pour le grand public cultivé, Bertrand Russell (1872-1970) a laissé son nom à deux choses : un paradoxe et un tribunal. Le tribunal Russell, ou Tribunal international pour les crimes de guerre, fondé en 1966, avait vocation à " exposer à la conscience de l'humanité " les violations du droit des gens commises pendant la guerre du Viêt-nam. Le paradoxe de Russell, découvert au printemps de 1901, touchait aux fondements logiques les plus profonds de la pensée : il devait ouvrir la " crise des fondements " en philosophie des mathématiques. Qu'il s'agisse de logique ou de guerre, une même passion anime Russell, celle de la Vérité. En 1919, Russell écrit cette Introduction à la philosophie mathématique, tentative pour reconstruire les mathématiques en tirant la leçon du (des) paradoxes(s). On trouvera dans cet ouvrage, écrit en prison, une présentation non technique de cette philosophie des mathématiques qu'on appelle le Logicisme. On y découvrira également, en particulier dans les derniers chapitres, les grands traits d'une philosophie de la logique.
Author: Bertrand Russell Publisher: ISBN: 9782228883511 Category : Mathematics Languages : fr Pages : 382
Book Description
Pour le grand public cultivé, Bertrand Russell (1872-1970) a laissé son nom à deux choses : un paradoxe et un tribunal. Le tribunal Russell, ou Tribunal international pour les crimes de guerre, fondé en 1966, avait vocation à " exposer à la conscience de l'humanité " les violations du droit des gens commises pendant la guerre du Viêt-nam. Le paradoxe de Russell, découvert au printemps de 1901, touchait aux fondements logiques les plus profonds de la pensée : il devait ouvrir la " crise des fondements " en philosophie des mathématiques. Qu'il s'agisse de logique ou de guerre, une même passion anime Russell, celle de la Vérité. En 1919, Russell écrit cette Introduction à la philosophie mathématique, tentative pour reconstruire les mathématiques en tirant la leçon du (des) paradoxes(s). On trouvera dans cet ouvrage, écrit en prison, une présentation non technique de cette philosophie des mathématiques qu'on appelle le Logicisme. On y découvrira également, en particulier dans les derniers chapitres, les grands traits d'une philosophie de la logique.
Author: Bertrand Russell Publisher: Psychology Press ISBN: 9780415096041 Category : Mathematics Languages : en Pages : 228
Book Description
Bertrand Russell is the most important philosopher of mathematics of the twentieth century. The author of The Principles of Mathematicsand, with Alfred Whitehead, the massive Principia Mathematica, Russell brought together his skills as a gifted communicator to provide a classic introduction to the philosophy of mathematics. Introduction to Mathematical Philosophysets out in a lucid and non-technical way the main ideas of Principia Mathematica. It is as inspiring and useful to the beginner now as it was when it was first published in 1919.
Author: Bertrand Russell Publisher: Createspace Independent Publishing Platform ISBN: 9781548226343 Category : Languages : en Pages : 268
Book Description
Introduction to Mathematical Philosophy is a work by Bertrand Russell, written in part to discuss less technically the central concepts of his and Whitehead's Principia Mathematica, including the theory of descriptions. Historically speaking, mathematics and logic have been entirely distinct studies. Mathematics connected with science and logic with Greek. But now, both have developed in contemporary times: philosophy has become more and more mathematical, and mathematics has become more logical. The obvious consequence is that it has now become completely impossible to draw a line to separate the two; in fact, now, both are one. They contrast as boy and man: logic is the youth version of mathematics and mathematics is the adulthood of logic. Logicians dislike this because, having spent their time in the study of classical texts, are incompetent to follow a piece of symbolic reasoning, and also by mathematicians who have learned a technique without bothering to inquire into its proof, meaning, or justification. Both types are fortunately growing rarer. So much that modern mathematical work is obviously on the borderline of logic, and modern philosophy is formal and symbolic, that the very close relationship between logic and mathematics are evident to every instructed student. The proof of it is a matter of detail. Beginning with premises that would be universally admitted to belong to logic, and arriving by deduction at results which as unmistakably belong to mathematics, we now find that there is no purpose for a sharp line to divide them, with logic and mathematics side by side. If there are still people who do not recognize the identity of logic and mathematics, we may challenge them to indicate the reason, in the successive definitions and conclusions of Principia Mathematica concludes that logic ends and math begins. It will then be evident that any answer need be entirely arbitrary.
Author: Bertrand Russell Publisher: Forgotten Books ISBN: 9781330323038 Category : Philosophy Languages : en Pages : 218
Book Description
Groundbreaking in its day the aim of this fantastic, if dated book by renowned philosopher Bertrand Russell is nothing less than to demonstrate that all of mathematics is describable by a single system of logic. It does so in a way which, while not simplistic, is still accessible to anyone willing to put in some thought. A foundation in logic and philosophy would certainly be a help when reading this book however. This approach was later demonstrated to be impossible, with Kurt Godel's incompleteness theorems proving that for any consistent logical system there are some problems which cannot be solved within that system. Godel's work would not have been the same without these earlier attempts however, so they provide an essential context for understanding these later developments. This does not mean that Russell's work is devoid of insight or use for its own sake however, as most of the individual sections as well as the history of mathematical philosophy are very valuable. Those whose interest is piqued by this book may wish to move on to Russell and Whitehead's Principia Mathematica for a more difficult and in depth work. 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.
Author: Bertrand Russell
Author: Bertrand Russell
Author: Bertrand Russell
Author: Bertrand Russell
Author: Bertrand Russell
Author: Bertrand Russell
Author: Bertrand Russell
Author: Bertrand Russell
Author: Józef Maria Hoene-Wroński
Author: Bertrand Russell
Author: Friedrich Waismann