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in this video were going to investigate how to negate either a universal quantifier or an existential quantifier consider this particular mathematical statement we have a universal quantifier of the front so for all X in the positive integers so every positive integer you can imagine then X is going to be greater than 3 thats my predicate so it was a positive integer then its going to be greater than 3 and what were test with is to negate that particular statement but lets deal not with the negation first lets just look at the statement itself I try to determine is it true or is it false I think this statement is false and the reason is that there were three different numbers they can take up one two and three and four all of those three different numbers theyre not greater than three theyre theyre less than or equal to three so when I think about the statement for every integer every positive integer X is greater than three I think that thats false because I can think of a
