I consider "The Dead Past", a short story by Asimov, to be one of those remarkable stories that is wholly more relevant today than when it was written. I don't want to say more, since the story has multiple levels of relevance some of which are not immediately obvious, but even the last couple years have made it a more important story than ever before.
I leave it as an exercise to find a copy of this story... I'm sure it's easy to do. It's really worth it.
interestingly enough, there is a FAQ entry for this which goes like
"""
There's this really neat story by Asimov, but I can't remember the title...
The story is probably "The Last Question". It can be found in a number of Asimov's anthologies (it was his favorite of his own stories, after all):
Nine Tomorrows
Opus 100
The Best of Isaac Asimov
The Best Science Fiction of Isaac Asimov
Robot Dreams
The Complete Stories, volume 1
The Asimov Chronicles
It is also found in a number of anthologies not consisting entirely of stories by Asimov.
There is a mathematical possibility that you're thinking of a story other than "The Last Question", but it's very slight. Asimov's own experience was that if someone couldn't remember the title of one of his stories (and especially if they weren't entirely sure if it was by him), then it was "The Last Question."
But just in case, here are some of the stories with titles that often aren't remembered as well as the plot:
* "The Last Question" concerns the fate of the universe, when a computer is asked several times through the ages if entropy can ever be reversed.
* "The Feeling of Power" describes a time in the future, when a young man amazes everyone with his ability to perform mathematical computations in his head, instead of relying on computers like everyone else does.
* "Profession" is about a boy who is brought to a house for the feeble-minded after tests show that he is abnormal, because unlike the others, who are all educated by machines and have their professions chosen for them, he is capable of original thinking.
The first time I saw a demo of Siri, as limited as it was, I immediately thought: "Well, here we go. It's only a matter of time before Siri answers the Last Question."
I leave it as an exercise to find a copy of this story... I'm sure it's easy to do. It's really worth it.