
Mathematical realism
Mathematical realism is the philosophical view that mathematical entities, such as numbers and shapes, exist independently of human thought. In other words, mathematical truths are not merely inventions of humans; they are discoveries of a reality that exists regardless of whether anyone is aware of it. This perspective suggests that mathematicians uncover these truths in the same way scientists discover natural laws. For example, the concept of the number "2" exists in a fundamental sense, even if no one is around to think about it. This contrasts with ideas that view mathematics as just a tool created by humans.
Additional Insights
-
Mathematical Realism is a philosophical view that asserts mathematical entities, like numbers and geometric shapes, exist independently of human thought, much like physical objects do. According to this perspective, mathematical truths are discovered rather than invented; they exist in a realm that is objective and unaffected by our perceptions or beliefs. For example, the number "2" exists whether or not anyone is aware of it. This contrasts with other views that see mathematics as a creation of the human mind, shaped by cultural or practical needs.