God and the Big Rock
Can God create a rock so big that he cannot move it?
In the past I've answered this question two ways:
The question “Can God create a rock so big that he cannot move it?” is a textbook example of the fallacy of special pleading because the question assumes as a premise that God can be internally contradictory.
There is no limitation upon an omnipotent Being to acknowledge that God cannot do that which by definition intrinsically cannot be done. If one argues that God can to what is intrinsically contradictory, the same argument doesn't increase the power and scope of God, but rather traps God in a comical premise. Contradictions are by definition unable to be actualized (the first law of logic dictates that A cannot be both A and none A at the same time and the same way), so what good can it do to elevate contradictions to a supposed dignity by the spurious assertion that God can actualize them? In other words, omnipotence is in no way diminished when the most perfect Doer is said to not do that which is intrinsically undoable. Since the premise of the argument presented employs the fallacy of special pleading (an informal fallacy) that contradicts the first law of logic (a formal fallacy), the question cannot be said to be valid.
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