Well, I only turn the cheek so often. But I am no person that does not grant merci:
"Vengeance can imply retribution, they mean exactly the same things."
"can" is the import word here, it indirectly states that vengeance does not imply retribution at least some of the time. Therefore the only none contradicting statements you could have made are:
"Vengeance implies retribution, they mean exactly the same things."
"Vengeance can imply retribution, they sometimes mean exactly the same things."
I would rather agree with the 2nd statement but anyways getting hung up about what is the right definition is not healthy. We should just agree on one and move on to actually discussing topics instead of words.
... you agreed on the punishment of outlawing murderers (Vogelfreiheit). Yet you still argue that punishment is wrong as a concept.
Definitions in dictionaries are just a mere reflection of the most common definitions. So we just need to get the definition straight for us at this point. Punishment is for me preventing the incident to happen again and resocialize the person in question. I don't want to condition criminal humans, I want to help them
I never agreed on that. Who is this "we"?
'Making a thing whole again' or what you call 'resituation' is a concept that has been frowned upon in any decent philosophy. Things change, I hope you do too some day