Math: How to Tell Objects Apart

Ever wondered how we can distinguish one math object from another? Some folks, known as nominalists, think it's a mystery. They question how we can tell math objects apart, since these objects don't share the same physical properties as everyday stuff. Let's dive into three methods to identify math objects: their unique properties, their relationships with each other, and their components. The third method might cause some philosophical hiccups, known as metaphysical headaches. But here’s the twist: platonists, who believe math objects are real, don't have to stick with this method. They can opt for other explanations. So, when it comes to figuring out how to distinguish math objects, the nominalist objection isn't as strong. Platonists have other options to consider. It's like having a variety of tools in a toolbox.