If God can do anything... couldn't he create a rock that he couldn't lift? Or is it impossible for God to not be able to do something thus making the statement false...
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There are a few illogical/fallacious traits attributed to most people's perception of the Christian God. A more interesting fallacy lies within the assumption that God can do anything, and yet knows everything. So if he knows his future with 100% accuracy, can he change it (Performing an act of omnipotence)?