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Charles Babbage clearly invented the CPU in 1837, under a different name, "The Analytical Engine"[1], he just didn't finish it. The technology of the time was barely up to the task of making a difference engine, but his failure to manage his relationship with his machinist, meant that it didn't happen. If he had a competent and aggressive project manager, it could have been done.

As for the simultaneous rise of agriculture everywhere, could it simply be that much of the productive farmland got flooded circa 12,000 BCE when the sea levels rose 100 feet? [2]

  [1] - https://en.wikipedia.org/wiki/Analytical_Engine  
  [2] - https://en.wikipedia.org/wiki/Early_Holocene_sea_level_rise
As for the simultaneous rise of agriculture everywhere,

Not to mention that such a phenomenon is not exact (there's no sharp dividing line between "non-ag" and "ag"), "agriculture" embraces lots of disjoint activity (rice needing water to support it vs wheat in a dry field), and "simultaneously" covers centuries if not millennia.

200 feet! Wikipedia sayeth: "The early Holocene sea level rise (EHSLR) was a significant jump in sea level by about 60 m (197 ft) during the early Holocene…"

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