I think of the great movies where the machine intelligence feels more than humans like in Blade Runner where the replicant says "all these memories will fade away like tears in the rain, time to die".
Or Hal in 2001. It's like peeking at the mind of god/consciousness.

In Dr. Strangelove, the doomsday machine is married to the soundtrack of We Will Meet Again Some Sunny Day which implies something beyond its programming.

Mysteries have a paradox that things are not as they seem.
The greatest mysteries for me are the billions of years of DNA evolution that made genes that can turn on or off to create different powers of survival. Some of those abilities may seem impossible and unknown to the person that it happens to.