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in this video weamp;#39;re going to continue our study of quantifiers by talking about both negating quantified statements and also translating so itamp;#39;s all going to kind of come together weamp;#39;re going to translate weamp;#39;re going to negate weamp;#39;re going to translate the negated statement so itamp;#39;ll be just a ball of fun letamp;#39;s remind ourselves of the quantifiers weamp;#39;ve spent the most time with so far especially in case youamp;#39;re not just joining us from video 11 which talked about the quantifiers the two that weamp;#39;ve talked the most about are the universal quantifier for all and the existential quantifier there exists so if I have P of X to be a propositional function X has taken a course in programming for the domain of students in your class then I want to translate what does this statement mean for all X P of X what does that mean in context in relationship to everything theyamp;#39;ve told me here well for all X says for ever