In this exemple, both P and ¬P implies in Q, which mean that anything implies in Q. This is equivalent to (P^¬P) ⊃ Q, which is always true. But this is not the case, because if A if true, it's conclusion isn't the same as it would be if A was false. If you choose values for a variable, you will only know what would be the result of that if this were to be really the truth value, but you don't know what it is.P ⊃ Q
¬P ⊃ Q
∴ Q
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