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The problem with the argument is that it is a nonsense request, akin to asking if God can create a green smile or a fast tree. It presents a [[false dichotomy]], by positing an "unlimited-power-which-is-afterward-limited", which is the same thing as an "unlimitable power which is limitable". There simply is no such thing, so the argument does not address what omnipotence is: unlimitable power. So, to ask if God can create a rock too heavy for Him to lift amounts to asking if He has the power to create something that's more powerful than Himself. It's an invalid, untenable question.
 
The problem with the argument is that it is a nonsense request, akin to asking if God can create a green smile or a fast tree. It presents a [[false dichotomy]], by positing an "unlimited-power-which-is-afterward-limited", which is the same thing as an "unlimitable power which is limitable". There simply is no such thing, so the argument does not address what omnipotence is: unlimitable power. So, to ask if God can create a rock too heavy for Him to lift amounts to asking if He has the power to create something that's more powerful than Himself. It's an invalid, untenable question.
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According to most atheists, omnipotence is nonsense. But, if omnipotence is nonsense, then there would be no way to construe it as a paradox. But, if, as even many atheists admit, omnipotence is a logically necessary (but, to them, incoherent) concept, then omnipotence cannot be an inherent paradox without making logic into a set of incoherent rules of reasoning <ref>Omnipotence Paradox: Overview; Wikipedia article[http://en.wikipedia.org/wiki/Omnipotence_paradox#Overview]</ref>.
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According to most atheists, omnipotence is nonsense. But, if omnipotence is nonsense, then there would be no way to construe it as a paradox. But, if, as even many atheists admit, omnipotence is a logically necessary (but, to them, incoherent) concept, then omnipotence cannot be an inherent paradox without making logic into a set of incoherent rules of reasoning <ref>[http://onlinelibrary.wiley.com/doi/10.1111/1468-2265.00152/abstract] Reconsidering Absolute Omnipotence, by Louis Groarke </ref><ref>Omnipotence Paradox: Overview; Wikipedia article[http://en.wikipedia.org/wiki/Omnipotence_paradox#Overview]</ref>.
    
The only reason it is possible to come up with questions that seem to show that omnipotence is a paradoxical concept is by drawing from certain kinds of facts about limited powers. A human has limited powers, yet a human has the power to smash her own hand to bits with a hammer that she has the power to make. Clearly, this does not mean that her hand has the power to be smashed to bits; rather, it means that the things that make up her hand are limited in their power to hold themselves together. Only God is coherent no matter what other powers are applied to Him. And, only God is able to think straight no matter what facts anyone thinks can be applied to Him.
 
The only reason it is possible to come up with questions that seem to show that omnipotence is a paradoxical concept is by drawing from certain kinds of facts about limited powers. A human has limited powers, yet a human has the power to smash her own hand to bits with a hammer that she has the power to make. Clearly, this does not mean that her hand has the power to be smashed to bits; rather, it means that the things that make up her hand are limited in their power to hold themselves together. Only God is coherent no matter what other powers are applied to Him. And, only God is able to think straight no matter what facts anyone thinks can be applied to Him.
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