An arguement is oral disagreement, a verbal opposition, a contention which can even become violent argument. Arguement is not necessairly aimed at resolving the issue, or helping the other party understand our view.
A debate is a discussion involving differing points of view where each party tries to prove to another that its view is correct.
A dialogue is a more sophisticated state of interpersonal communication which goes beyond arguing and debating and aims at exploring solutions to problems by exchanging facts and opinions and by understanding and accepting when we are wrong.
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Misspellings like mispellings and misspelings, are so benign that usually they serve only as a criticizing point for people who cant argue arguments, but are switching their focus to these 'fundamental' flaws in your character.
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