Gottlob Frege: Basic Laws of Arithmetic by Philip A. Ebert
The German philosopher and athlete Gottlop Freij (1848-1925) was the father of analytic philosophy and of all purposes and purposes of the inventor of modern logic. The basic laws of…
Gottlob Frege synopsis
The German philosopher and athlete Gottlop Freij (1848-1925) was the father of analytic philosophy and of all purposes and purposes of the inventor of modern logic. The basic laws of the account, originally published in German in two volumes (1893 and 1903), are Freges magnum opus.
It was supposed to be the culmination of Friggs Levis' work. It represents the last stage of his logical project that calculus and analysis can be reduced to logic and includes his mature philosophy of mathematics and logic.
The purpose of the basic rules of the account is to demonstrate the logical nature of mathematical theories by providing evidence without any gaps in the formal system of Frege using only basic laws of logic, reasoning and clear definitions. The work contains a philosophical introduction, an introduction to Freij's logic, the derivation of my arithmetic from this logic, criticism of contemporary approaches to real numbers, and the beginnings of logical processing of real analysis.
As is well known, a letter he received from Bertrand Russell shortly before the publication of the second volume made Frig aware that his Fifth Basic Law, which governs the identity of value ranges, leads to contradiction. Frege discusses the revision of the V-Text written in response to Russell's letter in the post-second volume.
The continuing importance of the basic laws of the account lies not only in their influence on the issues in the foundations of mathematics and logic, but in their model in philosophical research. Freij's ability to identify basic questions, his integration into logical and philosophical analysis, and his rigorous approach to criticism and argument in general are clear evidence of this more ambitious work.
Philip Ebert and Marcus Rossberg present the first full English translation of both volumes of Freges' main works, preserving original formality and numbering. The edition contains an introduction by Crispin Wright and a comprehensive supplement providing an introduction to the formal Freij system by Roy T.
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