In the perfect world, arguing here is not about winning and humiliating the other guy, it's about sharing what you know and have learned and in turn learn stuff from others, while trying to broaden your way of thinking and forming coherent, logical arguments. People actually rarely win or lose arguments here. Srsly, what makes someone the 'winner'?
Here are a few useful tips that will allow you to be seen (mostly by yourself) as the top dog.
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[*]First, you can win an argument when you are able to annoy the other guy long enough (by verbally assaulting him, ignoring everything he says or just repeating the same argument over and over again) so he will be the coward and add you to their ignore list, making him the loser.
[*]You could also just type a lot of crap. It doesn't have to be coherent, logical or factual, it just has to be plenty enough to make your lazy opponent sigh at reading it and he will forfeit, thus making you the winner.
[*]You also win an argument when you strategically choose an opponent who doesn't have enough time to spend on the internet, thus he will not respond often and seem lost for words, which makes him lose the argument.
[*]Last and most used are the winning phrases like, 'you're too stupid to argue with, you lose' which shares a close resemblance to 'you're not worth my time, I'll let someone else take care of you' or you could also use the 'I win because I have already won more arguments than you did (you don't need to take in account actual victories for this though)' phrase, or sometimes words are not even required, a well coordinated facepalm in response a good argument will also make the job quick and effective.
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These are all handy options to win an argument here, because luckily there is no anonymously voted referee who is able to declare someone the winner of an argument.