👉 Chan mathematics is a relatively new and informal mathematical framework that emerged from the work of mathematician Simon White. It emphasizes the use of set theory, particularly large cardinal axioms and inner model theory, to construct models of arithmetic that are rich in structure and often exhibit unexpected properties. Unlike traditional set theory, which can be quite abstract, Chan mathematics focuses on concrete, computable structures that are deeply connected to computational complexity and the foundations of mathematics. It provides a bridge between set theory, logic, and computer science, offering insights into the nature of mathematical truth and the limits of formal systems. Chan models often exhibit properties like definability, computability, and non-standard behavior, making them a powerful tool for exploring the boundaries of mathematical knowledge.
