Mathematicians enjoy thinking about problems. When posed with a new idea we experiment with special cases, we look for patterns, we conjecture, we generalize, we prove or disprove our conjectures—and then we generalize again. But we are never finished there. The fun part still remains—what if we look at the situation in reverse? How do our experiments behave? Are there any new patterns? Can we generalize in a different way to learn more about the problem?
Robbert, Sharon K., "The Inverse Problem: Christianity through a Mathematical Lens" (2003). ACMS Conference Proceedings 2003. 10.