New Foundations

New Foundations is a set theory proposed by mathematician Willard Van Orman Quine that aims to provide a rigorous mathematical framework for understanding numbers and sets. Unlike traditional approaches, it begins with a minimal core concept—namely, the existence of an "infectious" set of objects—then systematically builds up the entire universe of mathematics. Its main appeal is simplicity and a desire to eliminate unnecessary axioms, focusing on the constructive process of forming sets. Ultimately, New Foundations offers an alternative foundation for mathematics that emphasizes simplicity and internal consistency without relying heavily on elaborate axiom systems.