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The omnipotence paradox is actually a family of related paradoxes having to do with the question of what an omnipotent being can do, especially whether or not a being that is able to perform all actions can perform an action that would limit its own ability to perform actions. If the being can perform such actions, then it can limit its own ability to perform actions and hence it cannot perform all actions. If it cannot limit its own actions, then it could never have performed all actions. This paradox is often formulated in terms of the God of the Abrahamic religions, though this is not a requirement. One version of omnipotence paradox is the so-called paradox of the stone: "Could an omnipotent being create a stone so heavy that even that being could not lift it?" If so, then it seems that the being could cease to be omnipotent; if not, it seems that the being was not omnipotent to begin with.

To analyze the omnipotence paradox rigorously, a precise definition of omnipotence must be established. The common definition, "all powerful", is not specific enough to deal with the issues raised by the paradox. Several other versions of the paradox have been advanced besides the "heavy stone", which has problems with respect to modern physics.