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all right in this video were going to translate some sentences into quantificational logic and then were going to negate some quantificational logic statements and reduce them as far as we can okay so first question were going to translate these so our first question is every student is majoring in math or computer science so Im not going to define anything explicitly but I just want to show you the process here so first we have every student so we have for all X if X is a student so recall that s of X then that student is going to major in math or major in computer science so this means that if X is a student then X majors in math or X majors in computer science so here we have it for all X s of X arrow MX for C X for all X if X is a student that X is a math major or X is a computer science major ok second question for all real x and y if X or sorry X is greater than Y if x squared is greater than Y squared so for all real x and y so this is for all X in the real numbers for all
