Gottlob Frege: Basic Laws of Arithmetic

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9780199281749: 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 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.

From the Publisher:

(1893 and 1903), with introduction and annotation. As the culmination of his ground-breaking work in the philosophy of logic and mathematics, Frege here tried to show how the fundamental laws of arithmetic could be derived from purely logical principles.

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1.

Gottlob Frege, Marcus RossbergMarcus Rossberg, Philip A. Ebert
Editorial: Oxford University Press, United Kingdom (2013)
ISBN 10: 0199281742 ISBN 13: 9780199281749
Nuevos Tapa dura Cantidad: 1
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(London, Reino Unido)
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Descripción Oxford University Press, United Kingdom, 2013. Hardback. Estado de conservación: New. 248 x 174 mm. Language: English . 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 AOP9780199281749

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Gottlob Frege, Marcus RossbergMarcus Rossberg, Philip A. Ebert
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ISBN 10: 0199281742 ISBN 13: 9780199281749
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Descripción Oxford University Press. Hardback. Estado de conservación: new. BRAND NEW, Gottlob Frege: Basic Laws of Arithmetic, Philip A. Ebert, Marcus Rossberg, 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 B9780199281749

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Gottlob Frege, Marcus RossbergMarcus Rossberg, Philip A. Ebert
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. 248 x 174 mm. Language: English . 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 AOP9780199281749

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Gottlob Frege, Marcus RossbergMarcus Rossberg, Philip A. Ebert
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Descripción Estado de conservación: New. Depending on your location, this item may ship from the US or UK. Nº de ref. de la librería 97801992817490000000

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Descripción Oxford University Press. Estado de conservación: New. Brand New. Nº de ref. de la librería 0199281742

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Gottlob Frege, Marcus RossbergMarcus Rossberg, Philip A. Ebert
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ISBN 10: 0199281742 ISBN 13: 9780199281749
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Descripción Oxford University Press, 2013. Estado de conservación: New. Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: This is the first complete English translation of Gottlob Frege's Grundgesetze der Arithmetik (1893 and 1903), with introduction and annotation. As the culmination of his ground-breaking work in the philosophy of logic and mathematics, Frege here tried to show how the fundamental laws of arithmetic could be derived from purely logical principles. Nº de ref. de la librería ABE_book_new_0199281742

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Gottlob Frege, Marcus RossbergMarcus Rossberg, Philip A. Ebert
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Descripción 2013. Hardcover. Estado de conservación: New. 175mm x 46mm x 249mm. 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 annotation. The im.Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 538 pages. 1.315. Nº de ref. de la librería 9780199281749

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Gottlob Frege, Marcus RossbergMarcus Rossberg, Philip A. Ebert
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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 0199281742

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Gottlob Frege, Marcus RossbergMarcus Rossberg, Philip A. Ebert
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Descripción Estado de conservación: New. Oxford University Press, 2013. 680p. Hardback. [T]his 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. Matthias Schirn, Philosophical Quarterly |a 09/10/2015 (Publisher's information). Condition: New. Nº de ref. de la librería 39835

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Gottlob Frege, Marcus RossbergMarcus Rossberg, Philip A. Ebert
ISBN 10: 0199281742 ISBN 13: 9780199281749
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Descripción 2013. Hardcover. Estado de conservación: New. 175mm x 46mm x 249mm. 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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