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"One could imagine a very ascetic sort of life ... where the body is ignored. This is something I've played with in my books, where people hate to be reminded sometimes that they have bodies, they find it very slow and tedious."
- William Gibson

Associators  
  Computer system finds correlations.  

How enormous and yet how incomplete that knowledge was, Alvin was slowly learning. In spite of the self-canceling circuits which obliterated all information as soon as it was obsolete, the main registers contained a hundred trillion facts at the smallest estimate. Whether there was any limit to the capacity of the machines Rorden did not know. That knowledge was lost with the secret of their operation.
The Associators were a source of endless wonder to Alvin, who would spend hours setting up questions on their keyboards. It was amusing to discover that people whose names began with “S” had a tendency to live in the eastern part of the city — though the machines hastened to add that the fact had no statistical significance...

“It sounds very simple,” admitted Alvin, "but I don’t think I would have found it in a thousand years. Is that how the Associators work?”
Rorden laughed.
“Perhaps,” he said. “I sometimes reach the answer before they do, but they reach it.”

Technovelgy from Against the Fall of Night, by Arthur C. Clarke.
Published by Startling Stories in 1948
Additional resources -

An opportune warning:

Rorden smiled. “You’ve been letting the Associators do too much thinking for you,” he admonished gently.

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Additional resources:
  More Ideas and Technology from Against the Fall of Night
  More Ideas and Technology by Arthur C. Clarke
  Tech news articles related to Against the Fall of Night
  Tech news articles related to works by Arthur C. Clarke

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