The Omnipotence Paradox

The Omnipotence Paradox challenges whether the concept of unlimited divine power is logically coherent. The most famous formulation - “Can God create a stone so heavy that even God cannot lift it?” - appears to trap the theist in a dilemma: if God can create such a stone, there is something God cannot do (lift it), and if God cannot create it, there is also something God cannot do. Either way, omnipotence seems self-defeating. The paradox has roots stretching back to ancient philosophy, but Averroes gave it rigorous treatment in the 12th century, Thomas Aquinas formulated the most influential theistic response, and 20th-century philosophers like J.L. Mackie and George Mavrodes sharpened both the attack and the defense. We give it a soundness score of 35/100 - the naive stone paradox is largely resolved through careful redefinition of omnipotence, but more sophisticated variants about self-limitation and the scope of logical possibility remain genuinely challenging.

The Core Paradox

The paradox can be stated as a formal dilemma:

1. Assume God is omnipotent - God can do anything.
2. Can God create a stone so heavy that God cannot lift it?
3. If yes, then there is something God cannot do (lift the stone). God is not omnipotent.
4. If no, then there is something God cannot do (create such a stone). God is not omnipotent.
5. Therefore, omnipotence is self-contradictory, and no omnipotent being can exist.

The force of the argument lies in its apparent logical inevitability. The question is structured so that any answer - yes or no - yields the same conclusion: omnipotence is incoherent. This is not merely a puzzle about God’s strength. It is a challenge to the very concept of omnipotence as traditionally defined in theistic theology. If omnipotence is logically impossible, then any god defined as omnipotent - including the God of classical theism - cannot exist.

Major Variants

The stone paradox is the most popular formulation, but philosophers have developed several other versions that probe different aspects of unlimited power.

The Stone Paradox

The classic version asks about creating an unliftable stone. Its appeal is its simplicity - anyone can grasp the dilemma immediately. However, this simplicity is also its weakness, because the physical framing invites responses about what “lifting” and “heaviness” mean for a non-physical being. Most contemporary philosophers treat it as an intuition pump rather than a rigorous argument.

The Ability to Sin

Can an omnibenevolent, omnipotent God choose to do evil? If God can sin, then God might not be perfectly good. If God cannot sin, then there is something God cannot do. Thomas Aquinas addressed this directly in the Summa Theologica, arguing that the inability to sin is a perfection, not a limitation - just as the inability to fail is not a weakness in a mathematician who always gets the right answer. Critics respond that this redefines “power” to exclude certain capacities, which is precisely what the paradox challenges.

Creating Another Omnipotent Being

Can God create another being that is equally omnipotent? If so, could that being override God’s will? If two omnipotent beings disagree, whose will prevails? This variant suggests that omnipotence is inherently singular - there cannot be more than one omnipotent being - which raises questions about whether omnipotence is a coherent property even in principle, since a truly unlimited power should be able to duplicate itself.

The Self-Limitation Paradox

Can God permanently limit God’s own power? If God can irrevocably give up omnipotence, then God can become non-omnipotent, meaning omnipotence is not a necessary property. If God cannot give up omnipotence, there is something God cannot do. This is arguably the most philosophically interesting variant because it resists the standard “logical impossibility” response more effectively than the stone paradox. The act of self-limitation does not obviously involve a logical contradiction - it involves a temporal change in a being’s properties, which is a coherent concept.

Making True Contradictions

Can God create a square circle, or make 2 + 2 = 5? This variant directly tests whether omnipotence extends to logical impossibilities. If God can violate the laws of logic, then logic itself is contingent on divine will, and rational discourse about God becomes impossible. If God cannot violate logic, the question is whether this counts as a genuine limitation.

Theistic Responses

Theistic philosophers have developed several influential responses to the omnipotence paradox, collectively making it one of the more manageable challenges to theism.

Aquinas’s Redefinition of Omnipotence

The most historically important response comes from Aquinas, who argued in the Summa Theologica (I, q. 25, a. 3) that omnipotence means the ability to do all things that are logically possible. A “stone so heavy that an omnipotent being cannot lift it” is a logical contradiction - it describes an object with the contradictory properties of being created by omnipotence and being beyond omnipotence. Since logical contradictions do not describe real possibilities, the inability to actualize them is not a limitation on power.

On this view, asking “Can God create an unliftable stone?” is like asking “Can God create a married bachelor?” The question is grammatically well-formed but logically meaningless. It does not describe a task that God fails to accomplish. Rather, it fails to describe a genuine task at all. This has become the dominant position in analytic philosophy of religion and is accepted by many atheist philosophers as well.

Descartes’s Universal Possibilism

Rene Descartes took the opposite approach, arguing that God’s omnipotence extends even to logical impossibilities. God could make contradictions true, create square circles, and make 2 + 2 = 5. On this view, the laws of logic are themselves contingent on God’s will. The paradox dissolves because God can both create the unliftable stone and lift it - the contradiction is no obstacle to an absolutely unlimited power.

This position is bold but comes at a devastating epistemic cost. If God can violate the laws of logic, then no reasoning about God is reliable, because any conclusion could be negated by divine fiat. The claim “God exists” could be simultaneously true and false. Most philosophers - theist and atheist alike - reject Descartes’s position as undermining the very possibility of theological reasoning.

Mavrodes’s Logical Analysis

Philosopher George Mavrodes published an influential 1963 paper arguing that the stone paradox is a pseudo-problem. He demonstrated that “a stone which an omnipotent being cannot lift” is a self-contradictory description, much like “a round square.” The question asks us to suppose both that a being is omnipotent (can lift anything) and that there exists something it cannot lift. These suppositions are logically incompatible, so the question does not describe a genuine possibility that an omnipotent being should be able to actualize.

Mavrodes’s analysis has been widely accepted in the philosophical literature. Critics note, however, that it works best against the naive stone formulation and does not fully address the self-limitation variant.

The Frankfurt-Style Response

Some philosophers draw on Harry Frankfurt’s work to argue that omnipotence should be understood as maximal power rather than absolutely unlimited power. An omnipotent being has more power than any other possible being and can accomplish any coherent task. This “maximal power” definition avoids the paradox entirely while preserving the theological substance of omnipotence - a being with maximal power is still the most powerful being conceivable, which is what theistic doctrines actually require.

Historical Background

Questions about the limits of divine power emerged in ancient philosophy. Pseudo-Dionysius the Areopagite and other early Christian thinkers debated whether God could change the past - a question that prefigures the omnipotence paradox. The Islamic philosopher Averroes gave the paradox sustained attention in the 12th century in his commentaries on Aristotle, where he explored whether divine power must conform to the principles of rational possibility.

Aquinas addressed the paradox in the 13th century, producing the response that would dominate Christian philosophy for centuries. His distinction between absolute and logical impossibility set the terms of the debate: genuine omnipotence means the power to actualize any logically possible state of affairs, not the power to do the logically impossible.

In the medieval period, the paradox was also connected to the broader debate between voluntarism and intellectualism. Voluntarists like William of Ockham held that God’s power is prior to logic - God wills what is possible, and the possible is whatever God wills. Intellectualists like Aquinas held that God’s intellect recognizes eternal truths that constrain what is possible. This debate continues to shape how theologians think about omnipotence.

The paradox reemerged in analytic philosophy in the 20th century. J.L. Mackie raised it as part of his broader argument against theism in The Miracle of Theism (1982), while Mavrodes’s 1963 response in The Philosophical Review became the standard theistic counterargument. The exchange between these two set the terms for contemporary discussion.

Modern Philosophical Status

Among contemporary philosophers of religion, the naive stone paradox is widely considered resolved. The Aquinas-Mavrodes response - that logical impossibilities are not genuine tasks and therefore do not count as limitations on omnipotence - commands broad agreement across the theist-atheist divide. Philosopher Peter Geach famously dismissed the stone paradox as a “pseudo-problem” that trades on an incoherent definition of omnipotence.

However, the more sophisticated variants remain active topics of research. The self-limitation paradox is particularly persistent. If God can irrevocably limit divine power, this seems to involve no logical contradiction - self-limitation is a coherent action that finite beings perform regularly. Yet if God can do it, omnipotence is not an essential divine property, which conflicts with classical theism’s claim that God’s attributes are necessary rather than contingent.

The paradox has also intersected with debates about divine simplicity - the doctrine that God’s attributes are not distinct properties but are identical with God’s essence. If omnipotence is identical to God’s essence, then God cannot lose omnipotence without ceasing to exist, which provides a way around the self-limitation variant but raises its own conceptual difficulties.

Recent work by Erik Wielenberg and others has connected the omnipotence paradox to the broader question of whether traditional theism’s cluster of divine attributes - omnipotence, omniscience, omnibenevolence, aseity - is internally coherent. Even if each attribute can be individually defended, the combination may generate tensions. The omnipotence paradox is one strand in this larger coherence challenge.

Relationship to Other Arguments

The Omnipotence Paradox connects to several other arguments assessed on this site. Its most direct relationship is with the Ontological Argument, which defines God as a maximally great being. If omnipotence is incoherent, maximal greatness is incoherent, and the Ontological Argument’s central concept collapses. Conversely, if the Aquinas-Mavrodes response succeeds, omnipotence remains a coherent component of maximal greatness.

The Problem of Divine Foreknowledge raises a parallel coherence challenge for omniscience. Together, the two arguments attack the two most prominent divine attributes: unlimited power and unlimited knowledge. If both paradoxes were decisive, the traditional God concept would be doubly incoherent. The self-limitation variant of the omnipotence paradox also connects directly to the foreknowledge problem: can God choose to not know the future?

The Problem of Evil depends on omnipotence as a premise. If God is omnipotent and omnibenevolent, God could and would prevent gratuitous suffering. If the omnipotence paradox undermined the coherence of omnipotence entirely, it would paradoxically weaken the Problem of Evil by removing one of its premises. In practice, since the paradox is largely addressed through the logical impossibility response, it has little impact on the Problem of Evil’s force.

The Euthyphro Dilemma presents a structurally similar challenge - a question designed so that either answer creates problems for theism. Both arguments use dilemma structure to expose internal tensions in theistic concepts, though they target different attributes (power versus moral authority).

The Free Will Defense also depends on specific claims about what omnipotence can and cannot do. Alvin Plantinga argues that even an omnipotent God cannot create beings who freely choose only good, because this describes a logically impossible task. This is precisely the Aquinas-Mavrodes move applied to a different context, showing how the omnipotence paradox’s resolution has practical consequences for other theological arguments.

Our Scoring

Soundness: 35/100. The omnipotence paradox identifies a genuine conceptual challenge, and its logical structure is valid. However, the score is moderate-to-low because the dominant version - the stone paradox - is widely considered resolved by the Aquinas-Mavrodes response, which redefines omnipotence as the ability to do all logically possible things. This response is accepted not only by theistic philosophers but by many atheist philosophers as well, including those who reject theism on other grounds. The more sophisticated variants - particularly self-limitation and the question of whether logical impossibilities are genuine limits - keep the score above trivial levels. The paradox also loses points because it is a coherence challenge to a specific divine attribute rather than a direct argument against God’s existence based on evidence. A being could be extraordinarily powerful without being omnipotent in the traditional sense, so even a fully successful omnipotence paradox would only refute one specific conception of God.

Personal God: 25/100. The Personal God - omniscient, omnipotent, omnibenevolent, and actively intervening - is the conception most directly threatened, since omnipotence is an essential component of this definition. If omnipotence is incoherent, the Personal God as traditionally defined cannot exist. However, the low-moderate score reflects the broad philosophical consensus that the naive paradox is resolved, and the more sophisticated variants, while interesting, have not established that omnipotence (properly defined) is genuinely self-contradictory. The score also accounts for the fact that even if classical omnipotence required some qualification, a “nearly omnipotent” personal God who can do all logically possible things would satisfy virtually every theological purpose. The gap between a God who can do all logically possible things and a God who can do absolutely anything, including logical impossibilities, is of interest mainly to philosophers rather than to religious practice.

Creator/Designer: 40/100. A Creator or Designer is moderately affected. While many creator concepts include omnipotence, the core idea of a being that created or designed the universe does not strictly require unlimited power - only sufficient power to create a universe. A creator who is immensely powerful but not classically omnipotent would be untouched by the paradox. The higher score compared to the Personal God reflects the fact that design arguments sometimes implicitly rely on maximal power (the designer must be capable of fine-tuning physical constants, creating matter and energy, etc.), and if omnipotence is problematic, the scope of the designer’s capabilities becomes an open question. Still, the paradox does not come close to refuting the idea of a powerful creator - it challenges only one specific characterization of that creator’s power.

Higher Power: 45/100. An impersonal supernatural force or consciousness behind reality is the least dependent on the specific concept of omnipotence. A higher power need not be “omnipotent” in the classical sense to be genuinely supernatural and powerful. The paradox challenges a formal philosophical concept - the maximal property of omnipotence - that is most relevant to the God of classical theism, not to a vaguer notion of a transcendent force. The score is nevertheless below 50 because some conceptions of a higher power do include a notion of unlimited or absolute power, and the paradox’s challenge to whether any entity can possess truly unlimited power has some relevance even to less defined supernatural concepts. The relatively higher score compared to the Personal God reflects that a higher power can more easily accommodate a redefined or qualified notion of power without losing its essential character.