MakoYass comments on If there IS alien super-inteligence in our own galaxy, then what it could be like? - Less Wrong
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Note, sending probes out any distance may increase computational requirements. Approximations are no longer sufficient when an agent's eye comes up very close to them. Unless we can expect the superintelligence to detect these signs from a great distance, from the home star, it might not afford to see them.
Also worth considering: Probes that close their eyes to everything but life-supporting planets, so that it wont notice the low grain of approximations and approximations can continue to be used in its presence.