Important distinction for this thread:

• A dialectical argument is one where both sides compare views to see if they can together arrive at a higher truth by realizing their mistakes. Good for changing your mind. Requires good faith on both sides.
• A debate is a rhetorical battle, often more for the sake of presenting views to an audience than for the sake of the debaters. Do not change your mind because you've been rhetorically outmanoeuvred. This is the common type of argument for politicians and public discourse.