Monday, February 8, 2010

Under what condition is the conclusion of the following statement false, even though the hypothesis is true?

';If John gets at least a C on the test, then he will pass the class.';





Answers pick the best one ??


A.John gets at least a C and passes


B.John does not get a C and passes


C.John gets at least a C and does not passUnder what condition is the conclusion of the following statement false, even though the hypothesis is true?
In a conditional statement


';If P then Q';


the if-part (P) is called the hypothesis, and


the then-part (Q) is called the conclusion.





In your conditional statement,


(P) ';John gets at least a C';


is the hypothesis, and


(Q) ';John passes';


is the conclusion.





So you are asking which choice will make Q false even though P is true.


The correct choice is C.





Also, C is the only choice that makes the


whole conditional ';If P then Q'; false.Under what condition is the conclusion of the following statement false, even though the hypothesis is true?
A is correct, it is the hypothesis.





B is correct, we are not given information on what happens if he passes the class, only if he gets a C or higher, he could, for example, have gotten all As and only needed a D.





C is incorrect, it violates the hypothesis.
Seems to me that C is the condition.
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