This argument was Published by Robert Maydole in the Philosophy journal Philo, and even the prolific atheist philosopher Quentin Smith was stumped by it. Just one reason I'm really looking forward to the release of the Blackwell companion to Natural Theology.
(A) "Maximal greatness" is a perfection
(B) If a property is a perfection, it's negation is not a perfection
(C) If a property Q is a necessary condition for a perfection P, Q is a perfection
(1) If a maximally great being does not exist, it's not possible that a maximally great being exists (from the definition of "maximal greatness")
(2) If it's not possible that a maximally great being exists, every being has the property of "not being maximally great".
(3) If every being has the property of "not being maximally great", the property of "not being maximally great" is a necessary condition.
(4) If a maximally great being does not exist, "not being maximally great" is a perfection (from 1,2,3 and C)
(6) The property of "not being maximally great" is not a perfection (from A and B)
(7) Therefore, a maximally great being exists.
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