semantics, of course...

Which is how it shows up that everything is up for interpretation.

"I understand how" : I realize that people have differing opinions so in that way, I understand that your opinion and feeling can be different than mine

"you feel about" : I honour and appreciate those are your feeling, not mine

"(insert topic)" : In order to ensure we are on the same page, the specific topic I feel we are discussing is such. In other words, I am showing you that I am listening to you about the specific topics you believe are important