Men and women think differently. People in general do of course, but it is fairly clear with the 2 gender groups. So I agree with you that it is fine to view things differently.
That said, to some types of people it isn't, especially if they are a personality type that uses high degrees of logic to form their views. Most people tend to use a wide range of inputs to influence their thinking on a subject, but with the logical types, they find it difficult to ignore logic...
Anyways, went on a bit with that, without knowing the disagreement.
The silent treatment. I would suggest you swallow the pride part of you that has seen you hold out for 6 days. He probably won't. And once you get talking, the 6 day wait probably won't even be a concern anymore. You could even find that he feels bad, and gives you that apology, and he will be grateful you reached out. That is one scenario that could happen, among many others. The thing is, you won't know until you reach out. Don't let pride deprive you of finding out.
Best of luck! x