Download or read book The Arché Papers on the Mathematics of Abstraction written by Roy T. Cook and published by Springer Science & Business Media. This book was released on 2007-11-27 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. 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 and the reconstruction of set theory from various restricted versions of Basic Law V as case studies.