If they really are rejecting logic in its entirety, as you suggest, then they have insulated themselves from being forced into accepting conclusions they don’t want to accept simply because they follow from premises they’ve previously accepted, so any attempt to convince them that depends on that sort of force will simply fail.
It seems to follow that, if you want them to accept your beliefs, you will have to induce them to want to accept those beliefs.
All of that said, I’m somewhat skeptical that this is actually what they’ve done, although of course I don’t know the people you’re talking about.
In this specific context, I would recommend thinking carefully about what made you want to change your beliefs, assuming you did want to. If you can figure that out and articulate it, you may find that other people in the same position you were in will react to it the same way.
If they really are rejecting logic in its entirety, as you suggest, then they have insulated themselves from being forced into accepting conclusions they don’t want to accept simply because they follow from premises they’ve previously accepted, so any attempt to convince them that depends on that sort of force will simply fail.
It seems to follow that, if you want them to accept your beliefs, you will have to induce them to want to accept those beliefs.
All of that said, I’m somewhat skeptical that this is actually what they’ve done, although of course I don’t know the people you’re talking about.
My general answer to that question is here.
In this specific context, I would recommend thinking carefully about what made you want to change your beliefs, assuming you did want to. If you can figure that out and articulate it, you may find that other people in the same position you were in will react to it the same way.