This preview shows page 1. Sign up to view the full content.
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 TrueFalse questions and the like, we generally assume that ifthen statements given to us in textbooks are true. WARNING 1 : denotes approaches when we discuss limits in calculus....
View Full
Document
 Spring '09
 Logic

Click to edit the document details