Statistics.
The death penalty can be restricted to those convicted by conclusive evidence, not merely beyond reasonable doubt, such as dna etc.
The number of innocent people killed, usually in terror and hopeless horror, is greater than the number of people facing a death penalty.
The number of innocent people killed, usually in terror and hopeless horror, by those who were convicted but later released to kill and torture again would be zero, if the death penalty were carried out.
If any innocent person is given the death penalty, I am sorry, but I believe it will save many more innocent people from torture and death than will die by legal means.
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