MACM 101 Lecture Notes - Lecture 4: Exclusive Or, If And Only If

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*important: understand that the sentence the number x is an integer is not a statement because the trueth value can be true or false, and cannot be determined until a numberical value is assigned for x. Case 1: p and q have the truth value of 1. If i weigh more than 120lbs then i shall enroll in an exercise class. Case 2: p is true and q is false. If i weigh more than 120lbs then i don"t enroll in an exercise class: this breaks the resolution and makes the implication p -> q false. Case 3: p and q have the truth value 0. If i don"t weigh more than 120lbs then i don"t enroll in an exercise class: this does not break the resolution p -> q is still true. Case 4: p is false and q is true.

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