Mathematical Ontology

Mathematical ontology is the study of the fundamental concepts and categories that underpin mathematics—such as numbers, sets, relationships, and structures. It explores what these mathematical entities are, how they relate to each other, and what existence means within mathematical systems. Think of it as examining the "blueprint" of mathematics, clarifying what kinds of objects and ideas mathematics deals with, and how they are conceptually organized. This helps us understand the foundational principles that support all mathematical reasoning and theories.