Zermelo's Axiom of Choice by Gregory H. Moore

Secondhand paperback very good condition. Published by Dover Publications, 2012. This book provides a detailed historical account of Ernst Zermelo's introduction of the axiom of choice in set theory, tracing its origins in Cantor's work and Zermelo's 1904 proof of the well-ordering theorem. It examines the intense controversies sparked by the axiom among mathematicians and philosophers, including objections from figures like Borel and Russell, and explores its development through equivalent formulations like Zorn's lemma and Tychonoff's theorem. The narrative highlights the axiom's profound influence on modern mathematics despite ongoing debates about its intuitive foundation.Subjects: Academic, Axiom Of Choice, B010-11, Books, Foundations Of Mathematics, Gregory H Moore, History, Logic, Mathematical Foundations, Mathematical History, Mathematical Logic, Mathematics, Non Fiction, Philosophy Of Mathematics, Pure Mathematics, Set Theory, Stem, Zermelo