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First off, don't bother trying to predict its thoughts. You can't. It will inevitably come across as you trying to sound smart and your personal biases will be laid bare and every fault in your log...
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#3: Attribution notice added
Source: https://writers.stackexchange.com/a/34802 License name: CC BY-SA 3.0 License URL: https://creativecommons.org/licenses/by-sa/3.0/
#2: Initial revision
First off, don't bother trying to predict its thoughts. You can't. It will inevitably come across as you trying to sound smart and your personal biases will be laid bare and every fault in your logic will be very visible - people will assume your mistakes in writing the AI were intentional then be disappointed when they clearly weren't. Best way to go about writing any superintelligent entity is with the SHOW NOT TELL method - the superintelligent AI _will_ get what it wants. It _will not be deterred_ except by a black swan event like extradimensional invaders showing up but that would be deus ex machina and that is bad writing. So, start with your AI's goal and then write your story. Whatever happens was _All According To Plan._ The more subtle it is the better. Best case scenario is that the entirety of its plan was to tell someone one thing then wait. The less your superintelligence actually does to achieve its goals the more intelligent it is. A superintelligent ai could easily appear 100% human and likable but that only requires a small sliver of its intellect. Don't bother making it obviously inhuman unless its successfully convincing someone it's not as smart as it is. In truth though its humanity is like a person's anthood when manipulating ants with a stick in one hand and a bottle of pheromones in the other.