The Axiom of Choice is a fundamental principle in set theory, stating that for any collection of non-empty sets, it is possible to select one element from each set. This axiom is essential for many areas of mathematics, as it allows for the construction of sets and functions that might not be explicitly defined. Although the Axiom of Choice is widely accepted, it has led to some counterintuitive results, such as the existence of sets that cannot be explicitly constructed. One famous consequence is the Banach-Tarski Paradox, which suggests that a solid ball can be divided and reassembled into two identical solid balls, challenging our understanding of volume and space.