Question

Hello,
I have a friend that I’ve been arguing with for a long time. He claims that it makes sense to say that there are people for whom the law of identity does not apply. (He also agrees that it makes no sense to believe in logical contradictions and the like, since there is no thought process behind such a claim—as the Rabbi says. But he argues that there may be people for whom it is not a contradiction at all.) Is there a way to prove otherwise??