TITLE: Truth Table for If P then Q
QUESTION [12 upvotes]: Possible Duplicate:
In classical logic, why is (p -> q) True if both p and q are False? 

The Logic table for If P then Q is as follows:
P Q      If P then Q
T T       T
T F       F 
F T       T
F F       T

What I don't understand is, How can there be a truth table for this?
As far as I understand, If p then Q means "if P is true, Q has to be true. Any other case, I don't know" 
So, from what I understand, the first 2 rows of the truth table state that "If P is true and Q is true, the outcome is correct and If P is true and Q is false, the outcome is incorrect (F)"
What about the last 2 rows?

REPLY [2 votes]: You might find this hand-out for beginning logic students helpful too, http://www.logicmatters.net/resources/pdfs/Conditionals.pdf