Propositional Logic Worksheet Page 10
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21Implication Example
Example: If you earn 90% of the possible points in cs 313k, then
you will get an A.
Rewritten in logical notation: P → Q, where
P is: You earn 90% of the possible points in cs 313k.
Q is: You will get an A in cs 313k.
Interpretation of P → Q:
Think of P → Q being true as long as I do what I promised:
If P is false, you should not expect an A (though I could give you an
A), so I have honored the commitment (P → Q is true).
If P is true, P → Q is true only if Q is also true, ie if I give you an
A.
Example: Give the truth table for implication P → Q.
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