Cantorian Set Theory and Limitation of Size (Oxford Logic Guides, 10)

Cantor's ideas formed the basis for set theory and also for the mathematical treatment of the concept of infinity. The philosophical and heuristic framework he developed had a lasting effect on modern mathematics, and is the recurrent theme of this volume. Hallett explores Cantor's ideas and, in particular, their ramifications for Zermelo-Frankel set theory. "Here is the first full-length study to do justice both to the mathematical importance of Cantor's work and to the philosophical ideas that governed it...."--Choice. This volume presents the philosophical and heuristic framework Cantor developed and explores its lasting effect on modern mathematics. "Establishes a new plateau for historical comprehension of Cantor's monumental contribution to mathematics." -The American Mathematical Monthly Michael Hallett. Includes Indexes. Bibliography: P. [307]-349.