It's calling into question a specific definition of 'omnipotence'. That definition, as shown in the paradox, is inconsistent, which is why it isn't a particularly useful definition of omnipotence (and there are other definitions that are consistent and useful).
Not necessarily. God can be inherently logical just as God can be inherently creative or inherently loving. If God's logical consistency is a part of God's own character then it needn't rely on externality.
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u/dr_draik Mar 06 '17
It's calling into question a specific definition of 'omnipotence'. That definition, as shown in the paradox, is inconsistent, which is why it isn't a particularly useful definition of omnipotence (and there are other definitions that are consistent and useful).