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The Fermi Paradox arises from the mismatch between the enormous number of stars and the presumed very large number of advanced civilisations in our galaxy, and lack of any evidence for the existence of aliens, either in person or their robotic probes. In about 1950, the physicist Enrico Fermi asked, Where is everybody?
This same argument applies to the Singularity and the presumed rise of very intelligent machines, and their presumed expansion into space. If it could happen on Earth in the near future, then it could have happened innumerable times in the past. So, where are the robotic invaders?
Perhaps there aren't any "robotic invaders" per se, or at least not as many as we have led ourselves to believe. As long as we keep looking for "life as we know it," we'll be frustrated, as we'll be limiting ourselves with anthropomorphic and Earth-bound reference points.
For starters, how about we re-think scale? A scale too small to detect plus a scale too big to detect equals virtually infinite realms of non-detection. We are but an infinitestimally tiny blip on the graph.
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