Omnipotence Paradox - Other Versions of The Paradox

Other Versions of The Paradox

In the 6th century, Pseudo-Dionysius claims that a version of the omnipotence paradox constituted the dispute between St. Paul and Elmyas the Magician mentioned in Acts 13:8, but it is phrased in terms of a debate as to whether or not God can "deny himself" ala 2 Tim 2:13. In the 11th century, St. Anselm argues that there are many things that God cannot do, but that nonetheless he counts as omnipotent.

Thomas Aquinas advanced a version of the omnipotence paradox by asking whether God could create a triangle with internal angles that did not add up to 180 degrees. As Aquinas put it in Summa contra Gentiles:

Since the principles of certain sciences, such as logic, geometry and arithmetic are taken only from the formal principles of things, on which the essence of the thing depends, it follows that God could not make things contrary to these principles. For example, that a genus was not predicable of the species, or that lines drawn from the centre to the circumference were not equal, or that a triangle did not have three angles equal to two right angles.

This can be done on a sphere, and not on a flat surface. The later invention of non-Euclidean geometry does not resolve this question; for one might as well ask, "If given the axioms of Riemannian geometry, can an omnipotent being create a triangle whose angles do not add up to more than 180 degrees?" In either case, the real question is whether or not an omnipotent being would have the ability to evade the consequences which follow logically from a system of axioms that the being created.

A version of the paradox can also be seen in non-theological contexts. A similar problem occurs when accessing legislative or parliamentary sovereignty, which holds a specific legal institution to be omnipotent in legal power, and in particular such an institution's ability to regulate itself.

In a sense, the classic statement of the omnipotence paradox — a rock so heavy that its omnipotent creator cannot lift it — is grounded in Aristotelian science. After all, if one considers the stone's position relative to the sun around which the planet orbits, one could hold that the stone is constantly being lifted—strained though that interpretation would be in the present context. Modern physics indicates that the choice of phrasing about lifting stones should relate to acceleration; however, this does not in itself of course invalidate the fundamental concept of the generalized omnipotence paradox. However, one could easily modify the classic statement as follows: "An omnipotent being creates a universe which follows the laws of Aristotelian physics. Within this universe, can the omnipotent being create a stone so heavy that the being cannot lift it?"

Ethan Allen's Reason addresses the topics of original sin, theodicy and several others in classic Enlightenment fashion. In Chapter 3, section IV, he notes that "omnipotence itself" could not exempt animal life from mortality, since change and death are defining attributes of such life. He argues, "the one cannot be without the other, any more than there could be a compact number of mountains without valleys, or that I could exist and not exist at the same time, or that God should effect any other contradiction in nature." Labeled by his friends a Deist, Allen accepted the notion of a divine being, though throughout Reason he argues that even a divine being must be circumscribed by logic.

In Principles of Philosophy, Descartes tried refuting the existence of atoms with a variation of this argument, claiming God could not create things so indivisible that he could not divide them.

It is even in popular culture. In an episode of The Simpsons, Homer asks Ned Flanders the question "Could Jesus microwave a burrito so hot that He Himself could not eat it?" In one strip of the webcomic Saturday Morning Breakfast Cereal, a child is seen asking a priest "Could God make an argument so circular that even He couldn't believe it?"

In the Marvel Comics Runaways, Victor Mancha, the technorganic android created by Ultron, is shown as unable to process correctly paradoxes: as such, it's known that a small number of well known paradoxes may force his logic in a permanent loop, shutting his functions down until someone steps in to give Victor the proper solution. As such, his peers stop him once by asking "Could God make a sandwich so big that even he couldn't finish it?", and reboot his mind by explaining him a simplified version of the God as essentially omnipotent solution ("Yes. God could make a sandwich so big that even he couldn't finish it, and eat it all").

In the book' 'Bart Simpson's guide to Life this question is phrased as if God can do anything, could he create a hot dog so big that even he couldn't eat it.