Say you had a working time machine, and went back in time. Did stuff, and paradoxes.
I find this incorrect.
If you happen to travel back in time and so said action, that action was already pre-determined by the past. It has already happened, so you would do it without knowing you did it on purpose.
Here's how it works.
Lets say I go back in time and kill my Grandfather after my mom is born.
In the present, I would know that he died from murder.
In the future, he will stay dead.
When I head into the past, I will find him alive, kill him (presumably accidentally), and he's dead.
My actions are already pre-determined by said events of the present, even if I did not know of the event of murder.
Paradoxes are impossible if you head into back in time.