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Unformatted text preview: The statement If p , then q can be written as p q . The proposition p is called the hypothesis ; it is an assumption or a condition . The proposition q is called the conclusion . If there are no cases where p is true and q is false, we say that the statement is true . Otherwise, the statement is false , and any case where p is true and q is false is called a counterexample . If the statement is known to be true, we can write p q . may be read as implies . Outside of True-False questions and the like, we generally assume that if-then statements given to us in textbooks are true. WARNING 1 : denotes approaches when we discuss limits in calculus....
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- Spring '09