Basic Laws of Arithmetic Derived Using Concept-Script

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  • Engels
  • Paperback
  • 9780198777304
  • 18 augustus 2016
  • 680 pagina's
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Samenvatting

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.



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 importance of Frege's ideas within contemporary philosophy would be hard to exaggerate. He was, to all intents and purposes, the inventor of mathematical logic, and the influence exerted on modern philosophy of language and logic, and indeed on general epistemology, by the philosophical framework within which his technical contributions were conceived and developed has been so deep that he has a strong case to be regarded as the inventor of much of the agenda of modern analytical philosophy itself. Two of Frege's three principal books -- the Begriffsschrift (1879) and Grundlagen der Arithmetik (1884) -- have been available in English translation for many years, as have all the most important of his other, article-length writings. Grundgesetze was to have been the summit of Frege's life's work -- a rigorous demonstration of how the fundamental laws of the classical pure mathematics of the natural and real numbers could be derived from principles which, in his view, were purely logical. A letter received from Bertrand Russell shortly before the publication of the second volume made Frege realise that Axiom V of his system, governing identity for value-ranges, led to contradiction. But much of the main thrust of Frege's project can be salvaged. The continuing importance of the Grundgesetze lies not only in its bearing on issues in the foundations of mathematics 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.

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Inhoud

Taal
en
Bindwijze
Paperback
Oorspronkelijke releasedatum
18 augustus 2016
Aantal pagina's
680
Illustraties
Nee

Betrokkenen

Hoofdauteur
Gottlob Frege
Tweede Auteur
Marcus Rossberg
Co Auteur
Gottlob Frege
Hoofduitgeverij
Oxford University Press

Vertaling

Eerste Vertaler
Philip A. Ebert
Tweede Vertaler
Marcus Rossberg

Overige kenmerken

Extra groot lettertype
Nee
Product breedte
171 mm
Product hoogte
38 mm
Product lengte
241 mm
Studieboek
Ja
Verpakking breedte
172 mm
Verpakking hoogte
45 mm
Verpakking lengte
248 mm
Verpakkingsgewicht
1130 g

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EAN
9780198777304
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