👉 Hollow math is a branch of mathematics that formalizes set theory, logic, and other foundational concepts without explicitly stating the existence of sets or the truth of certain axioms, such as the Axiom of Choice. It achieves this by introducing a minimal set of axioms and logical rules that are sufficient to derive all the results of standard set theory, including the properties we intuitively accept. This approach allows mathematicians to work with these foundational elements in a rigorous, albeit abstract, manner, without committing to the metaphysical implications of set existence. Hollow math thus provides a framework for exploring mathematical structures and proofs in a way that is both logically sound and conceptually clean, enabling deeper insights into the nature of mathematical truth and the foundations of mathematics itself.
