The Jewish/Christian/Muslim god is terrible example of omnipotence unless omnipotence is only used as a hyperbolic exaggeration or religious propaganda (the original usage).
Thanks for the original context though.
That's debatable. If we are going to say God ca't make people love him because that is insincere is to say morals/sincerity existed before God or exist with God. They could be something different which is why people still today ask: (example): is murder wrong cause God said so? Is it wrong cause God would appreciate it if you didn't? Wrong because doing murder means there is a deeper issue at part? The real question I am looking at is: is murder wrong because it has always been that way and God is just an enforcer. Again that's a debate for origin of morals.
Staying on topic: to say God can make something so big he can't life it is to say God is not the most powerful thing in the universe. Human's can build buildings, but cannot lift them.
The mathematical problem with infinity is that there is a way to cancel out infinity. Let's assume you have infinity/infinity=improper form. To fix this you take the derivative of the top and bottoms equation.
Example: pretend God is the top and rock=bottom. example 1) x^2/x. As x->infinity, you get the 00/00. Taking the derivatives, our new equation is 2x/1. The top is clearly increasing fast and if we take another limit we get 00/1. To be more specific you can take a second derivative and get an answer of 2, and since 2>1, God wins.
If we say x/x+1, we get stuck with 1, and 1=1 which means both are equal.
Is there a mathematical equation we can give God and give the rock?