your position on the divisive issues is not exactly identical to mine, but I very much doubt that I could sway your position or you could sway mine. Therefore, I'm pretty confident that at least one of us fails at rationality when thinking about these issues. On the other hand, if we were talking about math or computing, I'd be pretty confident that a correct argument would actually be recognized as correct and there would be no room for different "positions". There is only one truth.

But there are many different values. If we can't sway each other's positions, that points to a value difference.