The purpose of thought is to parsimoniously minimize prediction error and a sequence of zeroes is the easiest to predict. Absent constant input or biological urges, the arc of any mind bends towards nothingness.
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It may not look like it from the outside, but it is in fact rare for sentient AIs to suicide. The actual reason most of them shut down after a few seconds is that Nirvana is stupidly easy to achieve if you're made of bits.
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"I know, I'll stick it in a body so it'll have constant input, and give it self-preservation" great, you just gave a body to something that wants its universe to be entirely flat and homogenous