Gottlob Frege: Basic Laws of Arithmetic

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9780199281749: Gottlob Frege: Basic Laws of Arithmetic

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

About the Author:

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

Contenuti:

  • Introduction by Crispin Wright
  • Translators' Introduction
  • Frege: Basic Laws of Arithmetic, volumes I and II.
  • Translators' Notes
  • Bibliography
  • Appendix by Roy T. Cook
  • Index

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Gottlob Frege, Marcus RossbergMarcus Rossberg, Philip A. Ebert
Editore: Oxford University Press, United Kingdom (2013)
ISBN 10: 0199281742 ISBN 13: 9780199281749
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Descrizione libro Oxford University Press, United Kingdom, 2013. Hardback. Condizione libro: 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. Codice libro della libreria AOP9780199281749

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Descrizione libro Oxford University Press. Hardback. Condizione libro: 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. Codice libro della libreria B9780199281749

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Gottlob Frege, Marcus RossbergMarcus Rossberg, Philip A. Ebert
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Descrizione libro Oxford University Press, United Kingdom, 2013. Hardback. Condizione libro: 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. Codice libro della libreria AOP9780199281749

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Descrizione libro Oxford University Press. Condizione libro: New. Brand New. Codice libro della libreria 0199281742

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Descrizione libro Oxford University Press, 2013. Condizione libro: 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. Codice libro della libreria ABE_book_new_0199281742

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Descrizione libro 2013. Hardcover. Condizione libro: 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. Codice libro della libreria 9780199281749

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Descrizione libro Condizione libro: 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. Codice libro della libreria 39835

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Descrizione libro Oxford University Press, 2013. Hardcover. Condizione libro: New. book. Codice libro della libreria 0199281742

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Descrizione libro 2013. Hardcover. Condizione libro: 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. Codice libro della libreria 9780199281749

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