How is the argument "I love all logic, but I don’t love deductive reasoning. Therefore, the moon is made of green cheese." valid? - Philosophy Stack Exchange

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https://philosophy.stackexchange.com/questions/55404/how-is-the-argument-i-love-all-logic-but-i-don-t-love-deductive-reasoning-the
How is the argument "I love all logic, but I don’t love deductive reasoning. Therefore, the moon is made of green cheese." valid? - Philosophy Stack Exchange

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The definition of validity was taught as: if premises are true, the conclusion must be true or it is impossible for the premises to be true and the conclusion to be false. 
Isn't the premise false?

"The premises are contradictory. So it is impossible for the premises to all be true. Thus it is impossible for the premises to all be true and the conclusion false. Therefore the argument is valid."