The Mathematical Philosophy Of Bertrand Russell Origins And Development

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The Mathematical Philosophy of Bertrand Russell: Origins and Development

Author : Francisco Rodríguez-Consuegra
Publisher : Birkhäuser
Page : 249 pages
File Size : 51,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783034875332

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The Mathematical Philosophy of Bertrand Russell: Origins and Development by Francisco Rodríguez-Consuegra Pdf

by Ivor Grattan-Guinness Until twenty years ago the outline history of logicism was well known. Frege had had the important ideas, until he was eclipsed by Wittgenstein. Russell was important in publicising the former and tutoring the latter, and also for working with Moore in the conversion of British philosophy from neo-Hegelianism to the new analytic tradition in the 1900s, but his own work on logic and especially logicism was very muddled. Around that time Russell, who was still alive, sold his manuscripts to McMaster University in Canada, and interest in his achievements in logic began to develop, especially after his death in 1970. Scholars found thousands of folios of unpublished holograph awaiting their attention, and also hundreds of pertinent letters (both in the Russell Archives and elsewhere in certain recipients' collections). Various facets of his work came to light for the first time, and others -which could have been gleaned from carefully reading of the published sources- gained new publicity from the evidence revealed in manuscripts. Even the technical passage work, which constitutes the unread majority of the Principia mathematica (1910-13) of Russell and Whitehead, began to receive a little respectful scrutiny. It turned out that Russell had done several pioneering things. While indeed often incoherent in reference and content, they comprised major forays into the new mathematical logic, of which he turned out to be a major founder: some are even of interest to modem studies.

The Mathematical Philosophy of Bertrand Russell: Origins and Development

Author : Francisco Rodriguez-Consuegra
Publisher : Birkhäuser
Page : 236 pages
File Size : 45,5 Mb
Release : 2012-05-10
Category : Science
ISBN : 3034875355

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The Mathematical Philosophy of Bertrand Russell: Origins and Development by Francisco Rodriguez-Consuegra Pdf

by Ivor Grattan-Guinness Until twenty years ago the outline history of logicism was well known. Frege had had the important ideas, until he was eclipsed by Wittgenstein. Russell was important in publicising the former and tutoring the latter, and also for working with Moore in the conversion of British philosophy from neo-Hegelianism to the new analytic tradition in the 1900s, but his own work on logic and especially logicism was very muddled. Around that time Russell, who was still alive, sold his manuscripts to McMaster University in Canada, and interest in his achievements in logic began to develop, especially after his death in 1970. Scholars found thousands of folios of unpublished holograph awaiting their attention, and also hundreds of pertinent letters (both in the Russell Archives and elsewhere in certain recipients' collections). Various facets of his work came to light for the first time, and others -which could have been gleaned from carefully reading of the published sources- gained new publicity from the evidence revealed in manuscripts. Even the technical passage work, which constitutes the unread majority of the Principia mathematica (1910-13) of Russell and Whitehead, began to receive a little respectful scrutiny. It turned out that Russell had done several pioneering things. While indeed often incoherent in reference and content, they comprised major forays into the new mathematical logic, of which he turned out to be a major founder: some are even of interest to modem studies.

The Mathematical Philosophy of Bertrand Russell: Origins and Development

Author : Francisco Rodriguez-Consuegra
Publisher : Birkhäuser
Page : 236 pages
File Size : 44,7 Mb
Release : 1991-01-01
Category : Science
ISBN : 3764326565

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The Mathematical Philosophy of Bertrand Russell: Origins and Development by Francisco Rodriguez-Consuegra Pdf

by Ivor Grattan-Guinness Until twenty years ago the outline history of logicism was well known. Frege had had the important ideas, until he was eclipsed by Wittgenstein. Russell was important in publicising the former and tutoring the latter, and also for working with Moore in the conversion of British philosophy from neo-Hegelianism to the new analytic tradition in the 1900s, but his own work on logic and especially logicism was very muddled. Around that time Russell, who was still alive, sold his manuscripts to McMaster University in Canada, and interest in his achievements in logic began to develop, especially after his death in 1970. Scholars found thousands of folios of unpublished holograph awaiting their attention, and also hundreds of pertinent letters (both in the Russell Archives and elsewhere in certain recipients' collections). Various facets of his work came to light for the first time, and others -which could have been gleaned from carefully reading of the published sources- gained new publicity from the evidence revealed in manuscripts. Even the technical passage work, which constitutes the unread majority of the Principia mathematica (1910-13) of Russell and Whitehead, began to receive a little respectful scrutiny. It turned out that Russell had done several pioneering things. While indeed often incoherent in reference and content, they comprised major forays into the new mathematical logic, of which he turned out to be a major founder: some are even of interest to modem studies.

Introduction to Mathematical Philosophy

Author : Bertrand Russell
Publisher : Cosimo, Inc.
Page : 221 pages
File Size : 55,7 Mb
Release : 2007-04-01
Category : Philosophy
ISBN : 9781602062917

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Introduction to Mathematical Philosophy by Bertrand Russell Pdf

Not to be confused with the philosophy of mathematics, mathematical philosophy is the structured set of rules that govern all existence. Or, in a word: logic. While this branch of philosophy threatens to be an intimidating and abstract subject, it is one that is surprisingly simple and necessarily sensible, particularly at the pen of writer Bertrand Russell, who infuses this work, first published in 1919, with a palpable and genuine desire to assist the reader in understanding the principles he illustrates. Anyone interested in logic and its development and application here will find a comprehensive and accessible account of mathematical philosophy, from the idea of what numbers actually are, through the principles of order, limits, and deduction, and on to infinity. British philosopher and mathematician BERTRAND ARTHUR WILLIAM RUSSELL (1872-1970) won the Nobel Prize for Literature in 1950. Among his many works are Why I Am Not a Christian (1927), Power: A New Social Analysis (1938), and My Philosophical Development (1959).

Russell's Unknown Logicism

Author : S. Gandon
Publisher : Springer
Page : 263 pages
File Size : 53,5 Mb
Release : 2012-08-30
Category : Mathematics
ISBN : 9781137024657

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Russell's Unknown Logicism by S. Gandon Pdf

In this excellent book Sebastien Gandon focuses mainly on Russell's two major texts, Principa Mathematica and Principle of Mathematics , meticulously unpicking the details of these texts and bringing a new interpretation of both the mathematical and the philosophical content. Winner of The Bertrand Russell Society Book Award 2013.

Introduction to Mathematical Philosophy

Author : Bertrand Russell
Publisher : London : G. Allen and Unwin
Page : 236 pages
File Size : 51,6 Mb
Release : 1975
Category : Mathematics
ISBN : UCLA:31158013324040

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Introduction to Mathematical Philosophy by Bertrand Russell Pdf

Not to be confused with the philosophy of mathematics, mathematical philosophy is the structured set of rules that govern all existence. Or, in a word: logic. While this branch of philosophy threatens to be an intimidating and abstract subject, it is one that is surprisingly simple and necessarily sensible, particularly at the pen of writer Bertrand Russell, who infuses this work, first published in 1919, with a palpable and genuine desire to assist the reader in understanding the principles he illustrates. Anyone interested in logic and its development and application here will find a comprehensive and accessible account of mathematical philosophy, from the idea of what numbers actually are, through the principles of order, limits, and deduction, and on to infinity. British philosopher and mathematician BERTRAND ARTHUR WILLIAM RUSSELL (1872-1970) won the Nobel Prize for Literature in 1950. Among his many works are Why I Am Not a Christian (1927), Power: A New Social Analysis (1938), and My Philosophical Development (1959).

My Philosophical Development

Author : Bertrand Russell
Publisher : Psychology Press
Page : 228 pages
File Size : 53,6 Mb
Release : 1995
Category : Philosophers
ISBN : 0415136016

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My Philosophical Development by Bertrand Russell Pdf

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.

Introduction to Mathematical Philosophy

Author : Bertrand Russell
Publisher : Forgotten Books
Page : 218 pages
File Size : 48,6 Mb
Release : 2015-06-16
Category : Philosophy
ISBN : 1330323033

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Introduction to Mathematical Philosophy by Bertrand Russell Pdf

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.

Introduction to Mathematical Philosophy (Classic Reprint)

Author : Bertrand Russell
Publisher : Forgotten Books
Page : 218 pages
File Size : 44,6 Mb
Release : 2017-10-11
Category : Philosophy
ISBN : 0265172799

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Introduction to Mathematical Philosophy (Classic Reprint) by Bertrand Russell Pdf

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.

Principia Mathematica

Author : Alfred North Whitehead,Bertrand Russell
Publisher : Cambridge University Press
Page : 524 pages
File Size : 47,9 Mb
Release : 1927
Category : Mathematics
ISBN : 052106791X

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Principia Mathematica by Alfred North Whitehead,Bertrand Russell Pdf

The Principia Mathematica has long been recognised as one of the intellectual landmarks of the century.

An Introduction to Mathematical Philosophy

Author : Bertrand Russell,James Zimmerhoff
Publisher : Createspace Independent Publishing Platform
Page : 268 pages
File Size : 45,5 Mb
Release : 2017-06-20
Category : Electronic
ISBN : 1548226343

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An Introduction to Mathematical Philosophy by Bertrand Russell,James Zimmerhoff Pdf

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.

Russell's Introduction to Mathematical Philosophy

Author : Bertrand Russell,Dale Jacquette,Daniel Kolak
Publisher : Longman Publishing Group
Page : 200 pages
File Size : 49,9 Mb
Release : 2007-12
Category : Mathematics
ISBN : 0321273613

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Russell's Introduction to Mathematical Philosophy by Bertrand Russell,Dale Jacquette,Daniel Kolak Pdf

Part of the Longman Library of Primary Sources in Philosophy," this edition of Russell's Introduction to Mathematical Philosophy is framed by a pedagogical structure designed to make this important work of philosophy more accessible and meaningful for readers. A General Introduction includes the work's historical context, a discussion of historical influences, and biographical information on Bertrand Russell. Annotations and notes from the editor clarify difficult passages for greater understanding, and a bibliography gives the reader additional resources for further study.

Russell's Unknown Logicism

Author : S. Gandon
Publisher : Palgrave Macmillan
Page : 263 pages
File Size : 46,6 Mb
Release : 2012-08-30
Category : Mathematics
ISBN : 0230576990

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Russell's Unknown Logicism by S. Gandon Pdf

In this excellent book Sebastien Gandon focuses mainly on Russell's two major texts, Principa Mathematica and Principle of Mathematics , meticulously unpicking the details of these texts and bringing a new interpretation of both the mathematical and the philosophical content. Winner of The Bertrand Russell Society Book Award 2013.

Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences

Author : Ivor Grattan-Guiness
Publisher : Routledge
Page : 571 pages
File Size : 50,6 Mb
Release : 2004-11-11
Category : History
ISBN : 9781134887552

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Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences by Ivor Grattan-Guiness Pdf

First published in 2004. Routledge is an imprint of Taylor & Francis, an informa company.

Bertrand Russell: History of philosophy, ethics, education, religion and politics

Author : A. D. Irvine
Publisher : Psychology Press
Page : 370 pages
File Size : 45,9 Mb
Release : 1998
Category : Philosophy
ISBN : 0415130549

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Bertrand Russell: History of philosophy, ethics, education, religion and politics by A. D. Irvine Pdf

This set offers the reader a way into the critical writings on Russell's work on Logic, Mathematics, Language, Knowledge, the World, History of Philosophy, Ethics, Education, Religion and Politics, and on his life and influence.