# Gottlob Frege: Basic Laws of Arithmetic

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The German philosopher and mathematician Gottlob Frege (1848-1925) was the father of analytic philosophy and to all intents and purposes the inventor of modern logic. Basic Laws of Arithmetic, originally published in German in two volumes (1893, 1903), is Frege's magnum opus. It was to be the pinnacle of Frege's life's work. It represents the final stage of his logicist project -- the idea that arithmetic and analysis are reducible to logic -- and contains his mature philosophy of mathematics and logic. The aim of Basic Laws of Arithmetic is to demonstrate the logical nature of mathematical theorems by providing gapless proofs in Frege's formal system using only basic laws of logic, logical inference, and explicit definitions. The work contains a philosophical foreword, an introduction to Frege's logic, a derivation of arithmetic from this logic, a critique of contemporary approaches to the real numbers, and the beginnings of a logicist treatment of real analysis. As is well-known, a letter received from Bertrand Russell shortly before the publication of the second volume made Frege realise that his basic law V, governing the identity of value-ranges, leads into inconsistency. Frege discusses a revision to basic law V written in response to Russell's letter in an afterword to volume II.

The continuing importance of Basic Laws of Arithmetic lies not only in its bearing on issues in the foundations of mathematics and logic but in its model of philosophical inquiry. Frege's ability to locate the essential questions, his integration of logical and philosophical analysis, and his rigorous approach to criticism and argument in general are vividly in evidence in this, his most ambitious work.

Philip Ebert and Marcus Rossberg present the first full English translation of both volumes of Frege's major work preserving the original formalism and pagination. The edition contains a foreword by Crispin Wright and an extensive appendix providing an introduction to Frege's formal system by Roy T. Cook.

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Philip A. Ebert received his PhD from the University of St Andrews in 2006 and was a Post Doctoral Fellow at the Arche Centre from 2005-2007. Since 2007 he has worked at the University of Stirling.

Marcus Rossberg received his PhD from the University of St Andrews in 2006 and was a Post Doctoral Fellow at the Arche Centre from 2005-2008. Since 2008 he has worked at the University of Connecticut.

Review:

"...the new translation is of high quality and the accompanying editorial material very helpful... This version of BL looks terrific, is helpful in various scholarly respects, and will have a big impact, I am sure. I want to congratulate the translators and editors, especially Ebert and Rossberg, on a major achievement." --Notre Dame Philosophical Reviews Online

"The price of this beautifully designed and nicely manufactured book is a bargain. Everybody who is interested in Frege's logic and philosophy as well as in the philosophy of logic and mathematics in general should own it. Ebert's and Rossberg's truly reliable, precise and congenial translation of Frege's Grundgesetze is a masterpiece and a milestone in Frege scholarship. I have no doubt that this marvellous book will greatly stimulate current Frege research especially in the Anglosphere." -- The Philosophical Quarterly

"The book will be an indispensable tool for further research on Frege." --Mathematical Reviews

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## 1.Gottlob Frege: Basic Laws of Arithmetic Format: Hardcover

Editorial: Oxford University Press
ISBN 10: 0199281742 ISBN 13: 9780199281749
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## 2.Basic Laws of Arithmetic

ISBN 10: 0199281742 ISBN 13: 9780199281749
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## 3.Gottlob Frege: Basic Laws of Arithmetic

ISBN 10: 0199281742 ISBN 13: 9780199281749
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Descripción 2013. HRD. Estado de conservación: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Nº de ref. de la librería VU-9780199281749

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## 4.Gottlob Frege: Basic Laws of Arithmetic (Hardback)

Editorial: Oxford University Press, United Kingdom (2013)
ISBN 10: 0199281742 ISBN 13: 9780199281749
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Descripción Oxford University Press, United Kingdom, 2013. Hardback. Estado de conservación: New. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. The German philosopher and mathematician Gottlob Frege (1848-1925) was the father of analytic philosophy and to all intents and purposes the inventor of modern logic. Basic Laws of Arithmetic, originally published in German in two volumes (1893, 1903), is Freges magnum opus. It was to be the pinnacle of Freges lifes work. It represents the final stage of his logicist project the idea that arithmetic and analysis are reducible to logic and contains his mature philosophy of mathematics and logic. The aim of Basic Laws of Arithmetic is to demonstrate the logical nature of mathematical theorems by providing gapless proofs in Frege s formal system using only basic laws of logic, logical inference, and explicit definitions. The work contains a philosophical foreword, an introduction to Frege s logic, a derivation of arithmetic from this logic, a critique of contemporary approaches to the real numbers, and the beginnings of a logicist treatment of real analysis. As is well-known, a letter received from Bertrand Russell shortly before the publication of the second volume made Frege realise that his basic law V, governing the identity of value-ranges, leads into inconsistency. Frege discusses a revision to basic law V written in response to Russells letter in an afterword to volume II. The continuing importance of Basic Laws of Arithmetic lies not only in its bearing on issues in the foundations of mathematics and logic but in its model of philosophical inquiry. Frege s ability to locate the essential questions, his integration of logical and philosophical analysis, and his rigorous approach to criticism and argument in general are vividly in evidence in this, his most ambitious work. Philip Ebert and Marcus Rossberg present the first full English translation of both volumes of Freges major work preserving the original formalism and pagination. The edition contains a foreword by Crispin Wright and an extensive appendix providing an introduction to Frege s formal system by Roy T. Cook. Nº de ref. de la librería BTE9780199281749

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## 5.Gottlob Frege: Basic Laws of Arithmetic

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Descripción Oxford University Press, 2013. Hardcover. Estado de conservación: New. Never used!. Nº de ref. de la librería P110199281742

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## 6.Gottlob Frege: Basic Laws of Arithmetic

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Descripción Oxford University Press. Hardcover. Estado de conservación: New. 0199281742 New Condition. Nº de ref. de la librería NEW7.0046908

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## 7.Gottlob Frege: Basic Laws of Arithmetic.

ISBN 10: 0199281742 ISBN 13: 9780199281749
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Descripción Estado de conservación: New. Oxford University Press, 2013. 680p. Hardback. The book will be an indispensable tool for further research on Frege. Volker Peckhaus, Mathematical Reviews |a 15/6/17 (Publisher's information). Condition: New Print on Demand. Printed on Demand. Nº de ref. de la librería 39835

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## 8.Gottlob Frege: Basic Laws of Arithmetic

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ISBN 10: 0199281742 ISBN 13: 9780199281749
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Descripción Oxford University Press, 2013. Hardcover. Estado de conservación: New. book. Nº de ref. de la librería M0199281742

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## 9.Basic Laws of Arithmetic: kDerived using concept-script

Editorial: Oxford Univ Pr (2013)
ISBN 10: 0199281742 ISBN 13: 9780199281749
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Descripción Oxford Univ Pr, 2013. Hardcover. Estado de conservación: Brand New. 1st edition. 680 pages. 10.00x7.00x1.75 inches. In Stock. Nº de ref. de la librería zk0199281742

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## 10.Basic Laws of Arithmetic, Volumes I & II: Derived Using Concept-Script (Hardcover)

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Descripción 2013. Hardcover. Estado de conservación: New. Hardcover. This is the first complete English translation of Gottlob Frege's Grundgesetze der Arithmetik (originally published in two volumes, 1893 and 1903), with introduction and annot.Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. 538 pages. 1.315. Nº de ref. de la librería 9780199281749

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