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Today's tutorial discusses negating logical statements, which are either true or false. Negation changes the truth value of a statement; for example, if a statement is true, its negation is false. Symbolically, a statement "Carlos likes donuts" is represented as "p," and its negation is "not p." Another example is "It is not going to rain tomorrow," symbolized as "q," with its negation being "It is going to rain tomorrow." The symbol "~" indicates negation.