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That's why it is a transcedental number. Maybe it becomes sentient after some digit. In fact, it certainly does.



An infinite stream of numbers does not -by necessity- contain every possible permutation.

Therefore it is not automatically proven that pi becomes sentient after some particular digit [1]

Though it's a fun thought!

[1] (eg. by way of containing a permutation that exactly describes the mind-state of thriftwy if fed to a near-future sci-fi 3d printer) .




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