In our view, the way of thinking involved in insight problem solving is very close to the process involved in the understanding of an utterance, when a misunderstanding occurs. In this case, a more appropriate meaning has to be selected to resolve the misunderstanding , the default interpretation has to be dropped in order to “restructure”, to grasp another meaning which appears more relevant to the context and the speaker's intention. A new conception of unconscious, implicit thought emerges, informed by (...) relevance. In this article we support our view with experimental evidence, focusing on how a misunderstanding is formed. We have explored two problems, in which a trivial arithmetical task is represented as an insight problem and vice versa. Studying how an insight problem is formed, and not just how it is solved, may well become an important topic in the contemporary debate on thought. (shrink)