Koichi and the others are discussing whether we should take a plane or a boat to Japan.
The article that Michael wrote drew controversy.
Koichi and Viet argued on what to eat for dinner for hours without reaching a decision.
There is much deliberation and theory exchanging when you are trying to present an argument. Of course, it's a very nice one. Lots of thinking and stuff, you know? That's why there's deliberation and theories instead of just screaming. That kind of "argument."
This is a jukugo word, which usually means on'yomi readings from the kanji. If you know the readings of your kanji you'll know how to read this as well.