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"A science fiction story is a story built around human beings, with a human problem and a human solution, which would not have happened at all without its scientific content."
- Theodore Sturgeon

Mechanical Calculator  
  A device capable of extraordinary feats of computation  

Another of these magi constructed (of like material [brass and wood and leather]) a creature that put to shame even the genius of him who made it; for so great were its reasoning powers that, in a second, it performed calculations of so vast an extent that they would have required the united labor of fifty thousand fleshy men for a year.
Technovelgy from The Thousand-and-Second Tale of Scheherazade, by Edgar Allen Poe.
Published by Godey's Lady's Book in 1845
Additional resources -

Undoubtedly a fictional presentation of Charles Babbage's Difference Engine, a mechanical calculator designed in the 1820's. Babbage constructed a small model, but sadly the full device could not be constructed owing to limitations in making the parts required.

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Additional resources:
  More Ideas and Technology from The Thousand-and-Second Tale of Scheherazade
  More Ideas and Technology by Edgar Allen Poe
  Tech news articles related to The Thousand-and-Second Tale of Scheherazade
  Tech news articles related to works by Edgar Allen Poe

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