The Many Faces of Oppurtunity

It seems one of the manifestations of opportunity happen inside a person's mind - when without much changing on the outside, a sudden realization of an an idea or a solution just comes to mind ... as in the "Eureka" experience (of Archimedes?) ironically when we stop thinking consciously about something, there is a seemingly chemical randomness that seems to be agent for a surprisingly good idea - that seems to be what mankind needs during these times of mind-boggling global problems ... What do you think ?