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You have just proved the opposite. For a 100 lines program, you will never even know whether it will terminate or not, and what would be the result of computation.

Free will is the complete opaqueness of the thought process to you, where the only way to get the result is to run the program.



The n'th digit of pi is also opaque to me without running a program.


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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