Mathematical nominalism is a philosophical view that denies the existence of abstract mathematical objects, such as numbers and shapes, as independent entities. Instead, it argues that these concepts are merely names or labels we use to describe relationships and patterns in the physical world. According to nominalists, mathematics does not refer to real objects but is a useful tool for understanding and communicating about the world.
This perspective contrasts with mathematical realism, which posits that mathematical entities exist independently of human thought. Prominent figures in the discussion of mathematical nominalism include philosophers like W.V.O. Quine and Hartry Field, who have contributed to the debate on the nature of mathematical truth and existence.