Problem as Perceived-Desired Gap¶
Definition¶
"A PROBLEM IS A DIFFERENCE BETWEEN THINGS AS DESIRED AND THINGS AS PERCEIVED." This definition has a practical edge: since a problem is a gap between two mental states, not an objective property of the world, it can be closed by changing the actual situation (things as perceived) or by changing what is wanted (things as desired). Crucially, the book insists "PHANTOM PROBLEMS ARE REAL PROBLEMS" — a discrepancy felt but not measurable by outside observers is still a genuine problem for the person feeling it.
In the Book¶
Peter Pigeonhole, tasked with the Brontosaurus Tower elevator complaints, arms himself with this definition and realizes the wait can be shortened either by actually reducing wait time or by making the wait feel shorter. He recalls a case where employees were getting hurt rushing down stairs, solved not by slowing anyone down but by installing mirrors on each landing — vanity made people slow themselves. The book grounds "phantom problems" with the example of feeling cold in a 25°C room: the thermostat reading doesn't resolve the problem because the problem is the gap between what you feel and what you want to feel, not the number on the dial. When Peter's mirror fix backfires (graffiti), and the graffiti fix backfires (crayons), and the actual rat-in-the-control-box fix backfires (elevators now run too well and overload the subway), the chapter uses this recurring collapse to show that each perceived-desired gap, once closed, tends to open a new one elsewhere.
Why It Matters¶
Defining a problem as a gap between two mental states, rather than as a broken object or a wrong number, opens up a second axis of intervention that's easy to miss: you can resolve a problem by managing perception or expectation instead of only by changing the underlying reality. It also legitimizes problems that have no external, measurable cause — a felt discrepancy is enough to justify action — which matters anywhere people dismiss complaints as "not a real problem" because no instrument can detect them.