"The insights gained and garnered by the mind in its wanderings among basic concepts are benefits that theory can provide. Theory cannot equip the mind with formulas for solving problems, nor can it mark the narrow path on which the sole solution is supposed to lie by planting a hedge of principles on either side. But it can give the mind insight into the great mass of phenomena and of their relationships, then leave it free to rise into the higher realms of action." (Carl von Clausewitz, "On War", 1832)
"Some problems are just too complicated for rational logical solutions. They admit of insights, not answers." (Jerome B Wiesner, The New Yorker, 1963)
"[...] two related deficiencies have prevented real progress in understanding insight and its role in problem solving. First, we do not yet have a system of classifying problems into those in which insight occurs versus those in which it does not. However, only if we can isolate problems in which insight occurs will we be able to set on a firm base our theories of the mechanisms underlying insight. Second, formulation of such a taxonomic system requires that we agree on a definition of insight." (Robert W Weisberg, "Prolegomena to theories of insight in problem solving: a taxonomy of problems", 1995)
"Therefore, although the notion of insight as a distinct process has a long history in the psychological study of problem solving, it might be useful at this point to refrain from using analytic and insight as theoretical terms applied a priori to problems." (Jason M Chein et al, "Working memory and insight in the nine-dot problem", Memory & Cognition 38, 2010)
"A feeling of insight is a kind of 'Aha!' characterized by suddenness and obviousness (and often relief!) - like a revelation. You are relatively confident that your solution is correct without having to check it. In contrast, you experienced no Aha! if the solution occurs to you slowly and stepwise. As an example, imagine a light bulb that is switched on all at once in contrast to slowly dimming it up." (Amory H Danek et al, "Working wonders? Investigating insight with magic tricks", Cognition 130, 2014)
"If insight involves an abrupt change from a state of not knowing how to solve the problem to a state of knowing [...], with no conscious awareness of what caused the change, the person experiencing the insight can still be expected to be able to report that the change occurred." (Edward Bowden & Kristin Grunewald, "Whose insight is it anyway?", [in "Insight], 2018)
"In the problem-solving literature, the term 'insight' is used to designate the clear and sudden understanding of how to solve a problem. Insight is thought to arise as the result of a solver breaking free of unwarranted assumptions, or forming novel, task-related connections between existing concepts or skills. Although it would be preferable to have a single, clear, universally accepted definition of insight, this may not be possible – and almost certainly will not be possible until we start to assess on a regular basis the single feature that seems to be widely acknowledged as distinguishing insight solutions from other solutions: the 'Aha!'" (Edward Bowden & Kristin Grunewald, "Whose insight is it anyway?", [in "Insight], 2018)
"If insight involves an abrupt change from a state of not knowing how to solve the problem to a state of knowing how to solve the problem (or, in some cases, knowing the solution), with no conscious awareness of what caused the change, the person experiencing the insight can still be expected to be able to report that the change occurred." (Edward Bowden & Kristin Grunewald, "Whose insight is it anyway?", [in "Insight], 2018)
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