This book grew out of my interest in what is common to three disciplines: mathematics, philosophy, and history. The origins of Zermelo's Axiom of Choice, as wel

This book provides a concise and self-contained introduction to the foundations of mathematics. The first part covers the fundamental notions of mathematical lo

This book presents an overview of the development of the Axiom of Choice since its introduction by Zermelo at the beginning of the last century. The book survey

Comprehensive and self-contained text examines the axiom's relative strengths and consequences, including its consistency and independence, relation to permutat