The article discusses different ways to use special methods in math called nonstandard methods. These methods involve very small and very large numbers, which have been controversial in math history. In the past, using infinitesimal numbers led to problems, so they were replaced with a different method. Model theory shows that there are different but equivalent structures in math. This means that not all structures can be told apart by their basic properties. This shows that in math, there are different ways to describe the same thing.