is god all powerful or just the most powerful possible being?

if god is all powerful then we get contradictions like this:

can god make a rock so big that god can't move it?

yes - then he isn't powerful enough to move it
no - then he isn't powerful enough to make it

if god is the greatest possible being then we wouldn't expect him to be able to do the impossible (like make a rock so big he can't move it) or defy the laws of logic etc...

but thats okay.

the benefits to the 'greatest possible being' interpretation is that it would actually be possible for god to exist!