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Definitely guilty meaning what?

A full confession that is never retracted?

What about cases where an innocent person is coerced into thinking they are guilty?

In a world where we accept the Heisenberg uncertainty principle, where does this certainty of guilt arise?

I don't see how Heisenberg comes into this. I'm intentionally excluding anyone who definitely wouldn't deserve the dealth penalty as a premise. I mean someone who is determined guilty by an oracle, or if that doesn't satisfy you, a person who had intent and premeditation, and is acting alone.

There are crimes with dozens of witness clearly seeing the perp, caught on camera, etc. That's what they're talking about.

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