Mastering Problem Definition: How Layered Thinking Fuels Engineering Innovation

The Essence of a Problem

Many people struggle to answer the question "What is a problem?". The author adopts Mao Zedong’s view that a problem is a contradiction that needs resolution, and highlights that managers often ask "What problem are you solving?" or "What is the definition of the problem?" to uncover the underlying contradictions.

Accurate Problem Definition Is the Start of Success

Reviewing countless technical designs, the author finds that vague or missing problem definitions lead to ineffective solutions. Quoting Dewey, "A problem well‑defined is a problem half solved," and Einstein, who stresses that formulating new problems drives scientific progress.

Dimensions of a Problem

The author proposes a three‑dimensional matrix—time, priority, and urgency—to evaluate problem severity. The gap between the current state and the target (e.g., RT < 1 s for 98 % of requests versus 80 % today) quantifies severity, not the problem itself.

Problem Classification

Problems are divided into three types: restoration‑type (return to a normal state), risk‑prevention type (avoid severe consequences), and ideal‑pursuit type (address future contradictions). These map to architectural concerns such as future‑facing issues, current faults, and iterative improvements.

Common Pitfalls in Problem Definition

Confusing methods or means with the problem itself.

Treating challenges as the problem rather than as obstacles to a defined issue.

Three illustrative stories demonstrate how to distinguish the real problem from its solutions.

Layered Thinking and Dimensional Thinking

"We cannot solve a problem with the same level of thinking that created it." – Einstein

Layered thinking involves moving from the concrete problem to higher‑level contradictions, while dimensional thinking expands the solution space for a given problem.

New Problems vs. New Technologies

Technological trends provide new means, not new problems. Historical examples (letters → telegrams → phones → video) show that the underlying human needs remain constant while tools evolve.

Conclusion

Distinguish means from the real problem.

Define the problem precisely.

Apply layered thinking to uncover deeper contradictions.

Use dimensional thinking to explore diverse solutions.