Choose axiom

Author: Zhao Xishun
Publisher:
Publish Date: 2003-08-01
Features: The development of the Axiom of Choice is situated at the intersection of mathematics, logic, and philosophy. The proposal of the Axiom of Choice and the debates surrounding it involve the collision of many philosophical viewpoints. The Axiom of Choice provides mathematics with a powerful method of argumentation, utilizing which many important conclusions can be proven. The development of the Axiom of Choice has also promoted the advancement of logic. This book provides a comprehensive and systematic discussion of the origin and development history of the Axiom of Choice, its applications in mathematics and logic, its consistency and independence, as well as its impact on the philosophy of mathematics. It analyzes the relationship between the Axiom of Strong Infinite and the Axiom of Choice. Additionally, the book introduces several propositions that contradict the Axiom of Choice.