realistic anti-Platonism

Realistic anti-Platonism is a philosophical stance that accepts the existence of mathematical objects like numbers and sets, but denies they are abstract entities. Instead, these views propose that mathematics describes concrete, real-world objects or phenomena.

There are two main versions of realistic anti-Platonism:
* Psychologism: This view posits that mathematical theorems are about mental objects, such as ideas in people's minds. However, this perspective faces challenges, including making mathematical truth dependent on psychological states and struggling to account for the infinite nature of mathematics.123
* Physicalism: This perspective holds that mathematics is about concrete physical objects. For example, geometric shapes might be considered regions of physical space, and numbers could be properties of physical objects or even piles of objects themselves. This view aligns with an Aristotelian perspective on properties existing within the physical world.2