Martin, intonation in phrase "так мне кажется" can be different. It depends on context.

If you discuss about different points (object is more impotent then persons who are discussing; it's classical way) that you have this intonation:

Так мне кажется.png

But sometimes, when you don't agree with usual or the most popular point, you can stress "мне" to show that it's your own point.