So, you're having a good time playing an RPG with your friends when an argument comes up. You think a rule works one way, but someone else thinks it works another. Or, maybe the party just can't agree on what to do in a given situation. You could spend the next couple hours arguing, which no one came over to do, or, you can try getting past the problem.
How can you get past these problems? Here's a couple ideas.
Recognize that the other players and the GM see the situation differently than you. Their characters see the world differently than yours does, they also have different desires than yours as well. Is there any common ground that you and the other person share? Maybe the party needs to retrieve the whatchamacallit from the evil wizard. The rogue wants to sneak in and steal it, but the barbarian feels like fighting their way to the wizard for a duel. You have a common goal, the whatchamacallit, so why not try both approaches? The barbarian leads a frontal assault which keeps the wizard busy, while the rogue sneaks in through the back. This way, you get past the sticking point of whose plan to use, and can keep on gaming.
Make a Deal
Another way to handle a problem could be to give the other party something that they want. Lets use our example from above. You still need the magical whatchamacallit. The barbarian still wants to charge the front. The rogue still doesn't like this idea. So, maybe the rogue offers to help the barbarian with reclaiming a lost family heirloom later, for trying the stealthy tactic now. It's like a game of Let's Make a Deal, without the costumes.... maybe.
Just remember, keep calm and stay respectful. These are your your friends and fellow gamers. With a little work, we can all get along and get through the problem together.