I don't think 'logic is emotion' in that way, maybe misunderstood but the general concept you're talking about - definitely. There is a whole range of different psychological phenomenon going on behind the scenes that I occasionally read upon; cognitive dissonance in particular, a process in our heads that just makes us HATE being wrong, and also neurological reasons galore, such as our addiction and often dependence on serotonin and dopamine, a desire to find satisfaction and 'rest'.

It's a whole fascinating area of human nature, which is why I don't get angry when arguing these things anymore, it's all just...fascinating