Forgiving And Forgetting

Look for your favourite spot on the couch to sit on..... When Someone hurts us and we say that we have forgiven them but cannot forget their crimes..Isnt that going back to square one?..... What is wrong with remembering?Is it possible to totally forget? I belong to the school of thought that thinks ''Once bitten twice shy'' and this  entails not forgetting what was done so that it does not via IFTTT