“The Dude abides” is a phrase in the eccentric cult film “The Big Lebowski.” Its cinematic context is essential to understanding the current meaning.
“Abide” is a complex, archaic word that means variously “lives in,” “goes in accord with,” and “co-exists in harmony with.” In the specific sense of the film, it occurs because the narrator and the main character, characters who have been extravagantly shown to be archaic, obsolete, rambling and pointlessly verbose, were struggling to describe a state of personal acceptance of fate. “The Dude abides” essentially means, “The Dude is,” but it was not meant in a declarative or defiant sense. It was intended as an observation and statement of purpose. The Dude exists in peace with the many things that perturb him. There are many issues and problems, and he “abides” them, which means that he endures them and accepts them, withholding his approval but vowing his non-interference.
Unfortunately, this phrase contains a lot of semantic noise due to its context. In fact, it is somewhat surprising that this is one of the phrases that people encounter most often from the film. It is absolutely accurate to say this phrase is always encountered now as a term of group identification and an invocation of the later meaning that the internet has appended to it. The phrase, in its most basic analysis, does not mean a lot. It is less a slogan than a parody of a slogan, but modern culture has picked it up and turned into a real slogan.