Debate
verb  de·bate
Definition of debate
debated; debating
intransitive verb
1obsolete :  fight, contend
2a :  to contend in words
b :  to discuss a question by considering opposed arguments
3:  to participate in a debate
transitive verb
1 a :  to argue about
b :  to engage (an opponent) in debate
2: to turn over in one's mind :  to think about (as different options) in order to decide
-Merriam-Webster online dictionary
Considering the other side is as much a part of the definition as arguing against it.