Why Wisdom Beats Experience and Rules in Mathematical Modeling

Experience is important. Whether direct or indirect, it provides reference for current decisions: whether something works, can be done, success or failure.

Rules are important. Sometimes they make sense, sometimes they are rigid, pedantic, or serve a particular interest, but if you want to succeed within an existing system, following rules often costs less.

Wisdom is even more important. It manifests in integrating knowledge and ability to make timely decisions. Having experience or understanding rules may help solve problems but does not necessarily reflect wisdom. True wisdom comes from thinking and practice, from reasonable analysis of new problems and creative thinking; merely acting by experience and rules cannot be called wisdom.

Learning and advancing in mathematical modeling should aim at improving wisdom, not merely increasing experience or mastering rules. Simply knowing more models or mastering programming syntax does not directly foster modeling wisdom; these are important foundations, but thinking about real problems and proposing reasonable solutions is the most direct path to progress.