Homer Simpson's God Puzzle

I think I've seen just about every episode of The Simpsons -- possibly every single one. But I don't remember this line from Homer that I was introduced to today (paraphrasing): "Could God create a burrito so hot that even he couldn't eat it?"

This is of course a humorous twist on the classic omnipotence paradox (see Wikipedia entry). Most commonly this is stated as the paradox of the stone, namely "Could an omnipotent being create a stone so heavy that even that being could not lift it?" But more generally, the key logic of it is to ask 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.

A great many philosophers have tried to tackle this problem, from ancient and medieval folks like Augustine, Averroes, and Aquinas, to more recent folks like Rene Descartes, and then contemporary thinkers like Wittgenstein and various other 20th and 21st century philosophers.

Of course the easy way out of the paradox is to just state that any omnipotent being is restricted by the laws of logic, so this paradox is not a problem. Even if one takes this position, and defines omnipotent in this way, there are numerous, far more serious problems with the concept of God that still remain.

Besides The Simpsons there have been other references to this paradox in populat culture. I was able to recall the use of it in Star Trek The Next Generation episodes (in relation to Q, who claimed omnipotence but clearly was not). But some of the other items listed the Wikipedia entry (a good read) were news to me