Mathematical Proofs and Business Requirements for Product Design

In College I took advanced math classes that taught us about Symmetric, Transitive, and Reflexive Relations. I thought these relations in proofs was not required, but then as we went through different equations I then started to understand the importance of these concepts.

With product development, I think a lot of these concepts should be thought about when designing a product. Because users will always attempt to use your product in ways that you had never imagined. And to attempt to foresee these usages of the product can become cost prohibitive.