OppThink seems to work best when going forward (SameThink) is no longer giving you the results you want.
In science, it occurs when new data means a theory no longer works, or does not work well; when a current theory must become more and more complicated in order to explain all data, this provides the opportunity for a new, opposite theory that is simpler and/or more elegant. Examples: Lavoisier and his oxygen theory supplanting phlogiston theory; Einstein's constant-speed-of-light relativity supplanting two theories -- Newtonian physics and the light-travels-through-ether theory; Copernicus' Earth-orbits-Sun theory supplanting Ptolemy's Sun-orbits-Earth theory.
In personal matters, it occurs when actions you are doing are not getting you closer to your goals, and hence one or more of your beliefs/actions need to change -- often to an opposite belief/action. Example: you are driving straight ahead but a traffic jam ahead means a big delay, so you U-turn and take the opposite direction. Sometimes you have to take the long way around a roadblock if it is the only way to achieve the ultimate goal of getting to your destination.
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