Mathematical Anti-Realism
Mathematical Anti-Realism is a philosophical position that denies the existence of mathematical objects as independent entities. Instead, it suggests that mathematical statements do not refer to any real, abstract objects but are instead useful tools for describing patterns and relationships in the physical world. This view contrasts with Mathematical Realism, which holds that mathematical entities exist independently of human thought.
Proponents of Mathematical Anti-Realism argue that mathematics is a product of human invention rather than discovery. They believe that mathematical truths are contingent on human language and conventions, making them subjective rather than objective. This perspective emphasizes the practical application of mathematics in various fields, such as physics and engineering, without asserting the existence of mathematical objects.