How can one be/not be simultaneously? How is it possible to be two conflicting things, each of which is true? Now I ask you. Where is the logic in that?

It is not logical, nor is it about logic. It is aboul justifying an emotional response.

Have you EVER met a racist who agreed he was a racist? I have not.

No. But what does that have to do with my question JakobA? I don't follow. Whether the racist agrees he is a racist or not is irrelevant. He is a racist so he is what he is. He isn't a racist/not a racist simultaneously. Just because his perception of what he is is faulty makes no difference. He is what he is and not what he isn't. At least that's how it seems to me. Thank you for your reply m'dear! :)

Google "cognitive dissonance."  It addresses elements of your question.