I used to think the same, but there are some people who I think do not deserve any chance of redemption.
One that comes to mind, was the murder of Baby P in the UK about 12 years ago.
Baby P was one when he died, and he because the parents beat him to death by his mother and his mother's boyfriend.
How the fuck can you beat a baby to death? Some of the injuries that child suffered were just horrifying.
I wouldn't give those two fuckers any chance of redemption. I've never been a fan of the death penalty, but I wouldn't care if they were put to death for their crimes. I'd even like to see them have the same treatment they gave that baby and get beaten to death.
So, in my mind, it depends on what the person has done, but some people don't deserve any chance.