Edition 
1st ed 
Descript 
2 v. in 1 : ill. ; 26 cm 
Note 
Translated from the German 

Includes bibliographical references and indexes 

Foreword / Crispin Wright  Translator's introduction / Philip A. Ebert and Marcus Rossberg  Basic laws of arithmetic / Gottlob Frege  First volume: Foreword, Table of contents, Introduction, Part I: Exposition of the conceptscript, Part II: Proofs of the basic laws of cardinal number, Appendices  Second volume: Table of contents, Part II: Proofs of the basic laws of cardinal number (continued), Part III: The real numbers, Appendices, Afterword  Translator's notes  Corrections  Bibliography  Appendix: How to read Grundgesetze / Roy T. Cook 

The first complete English translation of a groundbreaking work. An ambitious account of the relation of mathematics to logic. Includes a foreword by Crispin Wright, translators' Introduction, and an appendix on Frege's logic by Roy T. Cook. The German philosopher and mathematician Gottlob Frege (18481925) 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 wellknown, 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 valueranges, 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. Readership: Scholars and advanced students in philosophy of logic, philosophy of mathematics, and early analytic philosophy 
Subject 
Arithmetic  Foundations


Logic, Symbolic and mathematical


Mathematics

Alt Author 
Ebert, Philip A


Rossberg, Marcus


Wright, Crispin, 1942

Alt Title 
Gottlob Frege : basic laws of arithmetic 

Frege : basic laws of arithmetic 
