Disagreements and how people deal with them

I've always taken disagreements as things to resolve. If I disagree with a person, I depend on logic to either convince him of my point of view or get convinced myself.

There are two things I have noticed. One, at times there are disagreements that arise out of different points of view. These cannot be resolved by logic and it requires a certain level of maturity to put behind and accept as they are.

Second, there are disagreements where while logic can solve them, people get into the game of egos, where they refuse to see reason and misinterprete logic to stick on to their point. This kind of a situation always has wierd and invalid analogies exchanging hands. Each person somewhere will know about the facts and what it is all about, but outwardly he will convince the other one as well as himself of a convoluted logic to twist facts and reason.

Over the last few years I have seen that the ideal scenario exists only in relationships where there is no insecurity from either side. If two people who feel comfortable with each other get into a disagreement, they will deal with it impersonally and with pure logic. If two people who are inherently insecure (or either one is) with each other get into a discussion, here either one of the two scenarios will take place. Mostly the second actually.