Perception may not be fact but it is reality.
It is usually impossible to use logic and rationality to change someone’s mind that has a deeply embedded emotional fix. For instance, someone who believes there was no Holocaust – you can argue till you’re blue in the face. You can show them pictures, and they will tell you that it was staged.
Also, are you trying to be persuasive with this individual because it’s necessary to accomplish a goal, or merely to justify your own beliefs? The point is that it helps in living your life to know at what point you can make an impact, and when it is just simply futile.
Persuasive communication is about getting someone to see your point of view. In order to do that, you must listen to their point of view. If they are emotionally attached to their beliefs, then no amount of persuading is going to change their mind.
In this case, it is better to accept their perception of the situation as their reality, and realize you’re not going to persuade them otherwise. Perception is reality.
Learn more about effective communication strategies in my book, Persuasive Communication.