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this video is to support a course that iamp;#39;m teaching in introductory proof writing so in the course we just got done talking about the method of direct proof the method of contrapositive proofs and proof by contradiction among another a couple of assorted types of proofs and this is kind of a bridge video before we start talking about proof by mathematical induction so here we want to specifically talk about proving that statements are false sometimes called disproof so if our goal is to show that a mathematical statement p is false then really we can just apply things that weamp;#39;ve looked at before to the statement not p in other words we want to prove not p using any method and really we could almost stop the video right here because we know how to negate statements from a previous video but there are some special examples of dis proof um mainly universal statements and existential statements that are sometimes a little bit tricky to negate and although we negated them be
