The Arche Papers on the Mathematics of Abstraction (Hardcover, 2007 ed.)

This volume collects together a number of important papers concerning both the method of abstraction generally and the use of particular abstraction principles to reconstruct central areas of mathematics along logicist lines.Gottlob Frege's original logicist project was, in effect, refuted by Russell's paradox. Crispin Wright has recently revived Frege's enterprise, however, providing a philosophical and technical framework within which a reconstruction of arithmetic is possible. While the Neo-Fregean project has recieved extensive attention and discussion, the present volume is unique in presenting a thorough going examination of the mathematical aspects of the neo-logicist project (and the particular philosophical issues arising from these technical concerns). Attention is focused on extending the Neo-Fregean treatment to all of mathematics, with the reconstruction of real analysis from various cut - or cauchy-sequence-related abstraction principles...

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	The Western Ontario Series in Philosophy of Science, 71
Release date:	October 2007
First published:	December 2007
Editors:	Roy T. Cook
Dimensions:	235 x 155 x 26mm (L x W x T)
Format:	Hardcover
Pages:	454
Edition:	2007 ed.
ISBN-13:	978-1-4020-4264-5
Categories:	Books > Science & Mathematics > Mathematics > General Promotions
LSN:	1-4020-4264-7
Barcode:	9781402042645

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