method

Hello Rabbi.
I wanted to ask about the rabbi’s method regarding analyzing issues and drawing conclusions in order to try to better understand some of the articles.
What the Rabbi is trying to do is start dividing things up based on a certain intuition and then at what level of reasonableness of irrationality does he throw it away?
If we also follow logical things because of intuition that it is true, then in a conflict between intuition and logic, there should be an equality of power, right?
How do you decide between intuitions whose basic premises contradict each other?
And how can you argue with someone who has a different intuition?