What's that story about the prescient writers? It's a science fiction story ABOUT science fiction writers. It features people from the future who think sci fi writers from the 50's were psychic and they travel back in time to try to get a writer to describe the workings of a space ship or something? Does this ring a bell for anyone? It's driving me crazy!
In the 21st century the Bureau of Emigration sends agents back to the 1954 World SF Convention to abduct Poul Anderson. They believe that the 20th century SF writers were precogs (even if they didn't know it themselves). They need Anderson to tell them how to solve their speed-of-light drive problem.
Excerpt from "Waterspider":
"I'll tell you something," Fermeti said. "We have a new tack." Now Tozzo’s co-worker Craig Gilly had come sauntering up. To the two men, Fermeti said, "We’re going to try using pre-cogs in obtaining our formula for re-entry." His eyes flickered as he saw their reaction.
Astonished, Gilly said, "But all the pre-cogs are dead. Destroyed by Presidential order twenty years ago."
Tozzo, impressed, said, "He's going to dip back into the past to obtain a pre-cog. Isn’t that right, Fermeti?"
"We will, yes," his superior said, nodding. "Back to the golden age of pre-cognition. The twentieth century."
For a moment Tozzo was puzzled. And then he remembered.
During the first half of the twentieth century so many pre-cogs — people with the ability to read the future — had come into existence that an organized guild had been formed with branches in Los Angeles, New York, San Francisco and Pennsylvania. This group of pre-cogs, all knowing one another, had put out a number of periodicals which had flourished for several decades. Boldly and openly, the members of the pre-cog guild had proclaimed in their writings their knowledge of the future. And yet — as a whole, their society had paid little attention to them.
It's probably less related than "Waterspider", but Star Trek: Deep Space Nine, season 6, episode 13 "Far Beyond the Stars" is what first came into my mind.
In said episode, in the 24th century the mind of Captain Benjamin Sisko somehow gets transported into Benny Russell, an African-American science fiction writer in 1950s New York City. He starts writing stories closely resembling the actual future, and his acquaintances react on a wide range of emotions.