-If people disagree with your opinion, you won't get any backlash from it as they won't know who you are.
-you can say your opinion without feeling ashamed of it, or feeling like other people are judging <em>you</em>, as they can't as they don't know who you are.
Cons
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- People are likely to use your anonymity to undermine your opinion.
Conceited means that someone is very proud or vain. The first one says that he communicates intimately with himself and when he agreed on something it was done.