Mathematical truths are discovered. They exist independently of human thought as inherent properties of the universe, grounded in logical consistency and abstract structures. Numbers, shapes, and their relationships, like the Pythagorean theorem or the value of π, are not created but uncovered through reasoning and observation. For example, prime numbers’ properties hold regardless of whether humans formalize them. However, the language, symbols, and frameworks used to express these truths—such as base-10 notation or Euclidean geometry—are human inventions, shaped by cultural and historical contexts. The distinction lies in the truths themselves being universal and pre-existing, while our methods of accessing and describing them are constructed. This view reconciles the objectivity of mathematical realities with the subjective tools we use to articulate them.