Proposed Answers
A common response from Christian philosophers, such as Norman Geisler or Richard Swinburne is that the paradox assumes a wrong definition of omnipotence. Omnipotence, they say, does not mean that God can do anything at all but, rather, that he can do anything that's possible according to his nature. The distinction is important. God cannot perform logical absurdities; he can't, for instance, make 1+1=3. Likewise, God cannot make a being greater than himself because he is, by definition, the greatest possible being. God is limited in his actions to his nature. The Bible supports this, they assert, in passages such as Hebrews 6:18 which says it is "impossible for God to lie." This raises the question, similar to the Euthyphro Dilemma, of where this law of logic, which God is bound to obey, comes from. According to these theologians, this law is not a law above God that he assents to but, rather, logic is an eternal part of God's nature, like his omniscience or omnibenevolence. God obeys the laws of logic because God is eternally logical in the same way that God doesn't perform evil actions because God is eternally good. So, God, by nature logical and unable to violate the laws of logic, cannot make a boulder so heavy he cannot lift it because that would violate the law of non contradiction by creating an immovable object and an unstoppable force. This is similar to the Hebrews 6:18 verse, which teaches that God, by nature honest, cannot lie.
Another common response is that since God is supposedly omnipotent, the phrase "could not lift" doesn't make sense and the paradox is meaningless. This may mean that the complexity involved in rightly understanding omnipotence---contra all the logical details involved in misunderstanding it---is a function of the fact that omnipotence, like infinity, is perceived at all by contrasting reference to those complex and variable things which it is not. But, an alternative meaning is that a non-corporeal God cannot lift anything, but can raise it (a linguistic pedantry) - or to use the beliefs of Christians and Hindus (that there is one God, who can be manifest as several different beings) that whilst it is possible for God to do all things, it is not possible for all his incarnations to do them. As such, God could create a stone so heavy that, in one incarnation, he was unable to lift it - but would be able to do something that an incarnation that could lift it couldn't.
Other responses claim that the question is sophistry, meaning it makes grammatical sense, but has no intelligible meaning. The lifting a rock paradox (Can God lift a stone larger than he can carry?) uses human characteristics to cover up the main skeletal structure of the question. With these assumptions made, two arguments can stem from it:
- Lifting covers up the definition of translation, which means moving something from one point in space to another. With this in mind, the real question would be, "Can God move a rock from one location in space to another that is larger than possible?" In order for the rock to not be able to move from one space to another, it would have to be larger than space itself. However, it is impossible for a rock to be larger than space, as space will always adjust itself to cover the space of the rock. If the supposed rock was out of space-time dimension, then the question would not make sense, because it would be impossible to move an object from one location in space to another if there is no space to begin with, meaning the faulting is with the logic of the question and not God's capabilities.
- The words, "Lift a Stone", are used instead to substitute capability. With this in mind, essentially the question is asking if God is incapable, so the real question would be, "Is God capable of being incapable?" If God is capable of being incapable, it means that He is incapable, because He has the potential to not be able to do something. Conversely, if God is incapable of being incapable, then the two inabilities cancel each other out, making God have the capability to do something.
The act of killing oneself is not applicable to an omnipotent being, since, despite that such an act does involve some power, it also involves a lack of power: the human person who can kill himself is already not indestructible, and, in fact, every agent constituting his environment is more powerful in some ways than himself. In other words, all non-omnipotent agents are concretely synthetic: constructed as contingencies of other, smaller, agents, meaning that they, unlike an omnipotent agent, logically can exist not only in multiple instantiation (by being constructed out of the more basic agents of which they are made), but are each bound to a differentiated location in space contra transcendent omnipresence.
Isaac Asimov, a confirmed atheist, answered a variation of this question: what happens when an irresistible force meets an immovable object? He points out that Albert Einstein demonstrated the equivalence of mass-energy. That is, according to relativity theory, mass is simply frozen energy, energy is simply liquid mass. In order to be either "immovable" or "irresistible", the entity must possess the majority of energy in the system. No system can have two majorities. A universe in which there exists such a thing as an irresistible force is, by definition, a universe which cannot also contain an immovable object. And a universe which contains an immovable object cannot, by definition, also contain an irresistible force. So the question is essentially meaningless: either the force is irresistible or the object is immovable, but not both. Asimov points out that this question is the logical fallacy of the pseudo-question. Just because we can string words together to form what looks like a coherent sentence does not mean the sentence really makes any sense.
Thomas Aquinas asserts that the paradox arises from a misunderstanding of omnipotence. He maintains that inherent contradictions and logical impossibilities do not fall under the omnipotence of God. J. L Cowan sees this paradox as a reason to reject the concept of 'absolute' omnipotence, while others, such as René Descartes, argue that God is absolutely omnipotent, despite the problem.
C. S. Lewis argues that when talking about omnipotence, referencing "a rock so heavy that God cannot lift it" is nonsense just as much as referencing "a square circle"; that it is not logically coherent in terms of power to think that omnipotence includes the power to do the logically impossible. So asking "Can God create a rock so heavy that even he cannot lift it?" is just as much nonsense as asking "Can God draw a square circle?" The logical contradiction here being God's simultaneous ability and disability in lifting the rock: the statement "God can lift this rock" must have a truth value of either true or false, it cannot possess both. This is justified by observing that in order for the omnipotent agent to create such a stone, the omnipotent agent must already be more powerful than itself: such a stone is too heavy for the omnipotent agent to lift, but the omnipotent agent already can create such a stone; If an omnipotent agent already is more powerful than itself, then it already is just that powerful. Which means that its power to create a stone that’s too heavy for it to lift is identical to its power to lift that very stone. While this doesn’t quite make complete sense, Lewis wished to stress its implicit point: that even within the attempt to prove that the concept of omnipotence is immediately incoherent, one admits that it is immediately coherent, and that the only difference is that this attempt if forced to admit this despite that the attempt is constituted by a perfectly irrational route to its own unwilling end, with a perfectly irrational set of 'things' included in that end. In other words, that the 'limit' on what omnipotence 'can' do is not a limit on its actual agency, but an epistemological boundary without which omnipotence could not be identified (paradoxically or otherwise) in the first place. In fact, this process is merely a fancier form of the classic Liar ParadoxA: If I say, "I am a liar", then how can it be true if I am telling the truth therewith, and, if I am telling the truth therewith, then how can I be a liar? So, to think that omnipotence is an epistemological paradox is like failing to recognize that, when taking the statement, 'I am a liar' self-referentially, the statement is reduced to an actual failure to lie. In other words, if one maintains the supposedly 'initial' position that the necessary conception of omnipotence includes the 'power' to compromise both itself and all other identity, and if one concludes from this position that omnipotence is epistemologically incoherent, then one implicitly is asserting that one's own 'initial' position is incoherent. Therefore the question (and therefore the perceived paradox) is meaningless. Nonsense does not suddenly acquire sense and meaning with the addition of the two words, "God can" before it. Lewis additionally said that "unless something is self-evident, nothing can be proved", which implies for the debate on omnipotence that, as in matter, so in the human understanding of truth: it takes no true insight to destroy a perfectly integrated structure, and the effort to destroy has greater effect than an equal effort to build; so, a man is thought a fool who assumes its integrity, and thought an abomination who argues for it. It is easier to teach a fish to swim in outer space than to convince a room full of ignorant fools why it cannot be done.
John Christian Uy said that it is just the same as someone with double-bladed sword (accidentally omnipotent), or sword and a shield (essentially omnipotent). Therefore, an accidentally omnipotent deity CAN remove its omnipotence while an essentially omnipotent deity CANNOT do anything that would make it non-omnipotent. Both however, have no limitations so far other than the essential omnipotent being who cannot do anything which will make it non-omnipotent like making someone equal with him, lowering or improving himself(for omnipotence is the highest) etc. It could, however, make someone with a great power, though it cannot be 99% because Omnipotence is infinite, because that created being is not equal with him. Overall, God in the Christian Bible, is essentially omnipotent.
William Jennings Bryan said this is roughly the view espoused by Matthew Harrison Brady, a character in the 1955 play Inherit the Wind loosely based upon William Jennings Bryan. In the climactic scene of the 1960 movie version, Brady argues, "Natural law was born in the mind of the Creator. He can change it—cancel it—use it as he pleases!" But this solution merely pushes the problem back a step; one may ask whether an omnipotent being can create a stone so immutable that the being itself cannot later alter it. But a similar response can be offered to respond to this and any further steps.
In a 1955 article published in the philosophy journal Mind, J. L. Mackie attempted to resolve the paradox by distinguishing between first-order omnipotence (unlimited power to act) and second-order omnipotence (unlimited power to determine what powers to act things shall have). An omnipotent being with both first and second-order omnipotence at a particular time might restrict its own power to act and, henceforth, cease to be omnipotent in either sense. There has been considerable philosophical dispute since Mackie, as to the best way to formulate the paradox of omnipotence in formal logic.
Another common response to the omnipotence paradox is to try to define omnipotence to mean something weaker than absolute omnipotence, such as definition 3 or 4 above. The paradox can be resolved by simply stipulating that omnipotence does not require the being to have abilities which are logically impossible, but only to be able to do anything which conforms to the laws of logic. A good example of a modern defender of this line of reasoning is George Mavrodes. Essentially, Mavrodes argues that it is no limitation on a being's omnipotence to say that it cannot make a round square. Such a "task" is termed by him a "pseudo-task" as it is self-contradictory and inherently nonsense. Harry Frankfurt—following from Descartes—has responded to this solution with a proposal of his own: that God can create a stone impossible to lift and also lift said stone
For why should God not be able to perform the task in question? To be sure, it is a task—the task of lifting a stone which He cannot lift—whose description is self-contradictory. But if God is supposed capable of performing one task whose description is self-contradictory—that of creating the problematic stone in the first place—why should He not be supposed capable of performing another—that of lifting the stone? After all, is there any greater trick in performing two logically impossible tasks than there is in performing one?
If a being is accidentally omnipotent, then it can resolve the paradox by creating a stone which it cannot lift and thereby becoming non-omnipotent. Unlike essentially omnipotent entities, it is possible for an accidentally omnipotent being to be non-omnipotent. This raises the question, however, of whether or not the being was ever truly omnipotent, or just capable of great power. On the other hand, the ability to voluntarily give up great power is often thought of as central to the notion of the Christian Incarnation.
If a being is essentially omnipotent, then it can also resolve the paradox (as long as we take omnipotence not to require absolute omnipotence). The omnipotent being is essentially omnipotent, and therefore it is impossible for it to be non-omnipotent. Further, the omnipotent being can do what is logically impossible and have no limitations just like the accidentally omnipotent but the ability to make oneself non-omnipotent. The creation of a stone which the omnipotent being cannot lift would be an impossibility. The omnipotent being cannot create such a stone because its power will be equal to him and thus, remove his omnipotence for there can only be one omnipotent being in existence, but nevertheless retains its omnipotence. This solution works even with definition 2, as long as we also know the being is essentially omnipotent rather than accidentally so. However, it is possible for non-omnipotent beings to compromise their own powers, which presents the paradox that non-omnipotent beings can do something (to themselves) which an essentially omnipotent being cannot do (to itself).
This was essentially the position taken by Augustine of Hippo in his The City of God:
For He is called omnipotent on account of His doing what He wills, not on account of His suffering what He wills not; for if that should befall Him, He would by no means be omnipotent. Wherefore, He cannot do some things for the very reason that He is omnipotent.
Thus Augustine argued that God could not do anything or create any situation that would in effect make God not God.
Some philosophers maintain that the paradox can be resolved if the definition of omnipotence includes Descartes' view that an omnipotent being can do the logically impossible. In this scenario, the omnipotent being could create a stone which it cannot lift, but could also then lift the stone anyway. Presumably, such a being could also make the sum 2 + 2 = 5 become mathematically possible or create a square triangle. This attempt to resolve the paradox is problematic in that the definition itself forgoes logical consistency. The paradox may be solved, but at the expense of making the logic a paraconsistent logic. This might not seem like a problem if one is already committed to dialetheism or some other form of logical transcendence.
St Augustine's definition of omnipotence, i.e. that God can do and does everything that God wishes, resolves all possible paradoxes, because God, being perfectly rational, never wishes to do something that is paradoxical.
If God can do absolutely anything, then God can remove His own omnipotence. If God can remove His own omnipotence, then God can create an enormous stone, remove His own omnipotence, then not be able to lift the stone. This preserves the belief that God is omnipotent because God can create a stone that He couldn't lift. Therefore, in this theory, God would not be omnipotent while not being able to lift the stone. This is a trivial solution because, for example, an omnipotent being could create a boulder that the strongest human could not lift (it needn't do that anyway since such boulders exist) and then give itself the potency of an average human; it would then not be able to lift the stone. This solves nothing as the entity that is unable to lift the stone is not "God" as understood by the paradox, but a very average being with the same potency as a human. The solution only produces a reduced-potency "God"; it does not deal with the matter at hand: God maintaining omnipotence even while performing a task, the success or failure of which seems to imply impotence.
David Hemlock has proposed an incarnational resolution: "On one small planet, lying in a manger, one incarnate babe could not lift the rocks He had made. All the rocks of all of the starfields in Him consist, with their whirling atoms; by Him were and ever-are all things lifted up (Col 1:17; Phil 2:5-8)".
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